Logistic function from Lakshay Garg

Time bar (total: 10.9s)

analyze0.0ms (0%)

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 13 to 11 computations (15.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (12.3%)

Results
763.0ms3963×1valid
283.0ms4293×0valid
Precisions
Click to see histograms. Total time spent on operations: 731.0ms
ival-exp: 304.0ms (41.6% of total)
ival-mult: 105.0ms (14.4% of total)
ival-div: 96.0ms (13.1% of total)
ival-sub: 75.0ms (10.3% of total)
ival-add: 75.0ms (10.3% of total)
backward-pass: 55.0ms (7.5% of total)
const: 21.0ms (2.9% of total)
Bogosity

preprocess39.0ms (0.4%)

Algorithm
2×egg-herbie
Rules
292×sum3-define
260×fmsub-define
180×fma-define
166×fmm-def
154×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02364
14762
28960
313960
419760
527160
636360
746660
856760
972060
1089760
1193260
12101660
13107360
14108260
15113860
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)

explain134.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1120-0-(-.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-x
00-0-(/.f64 #s(literal 2 binary64) (+.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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
00-0-(*.f64 #s(literal -2 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(exp.f64 (*.f64 #s(literal -2 binary64) x))
Results
63.0ms222×1valid
26.0ms290×0valid
Compiler

Compiled 88 to 32 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 28.0ms (51.8% of total)
ival-div: 6.0ms (11.1% of total)
ival-mult: 6.0ms (11.1% of total)
backward-pass: 5.0ms (9.2% of total)
ival-add: 4.0ms (7.4% of total)
ival-sub: 4.0ms (7.4% of total)
const: 1.0ms (1.8% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 11 computations (8.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.1%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0%)

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

localize55.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓accuracy59.1%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
Results
29.0ms111×1valid
12.0ms145×0valid
Compiler

Compiled 38 to 11 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 9.0ms (39.5% of total)
ival-mult: 4.0ms (17.6% of total)
ival-div: 3.0ms (13.2% of total)
ival-add: 2.0ms (8.8% of total)
ival-sub: 2.0ms (8.8% of total)
backward-pass: 2.0ms (8.8% of total)
const: 1.0ms (4.4% of total)

series4.0ms (0%)

Counts
4 → 48
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))>
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))>
Calls

12 calls:

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

rewrite230.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
3016×*-lowering-*.f32
3016×*-lowering-*.f64
2840×/-lowering-/.f32
2840×/-lowering-/.f64
1586×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0928
14828
238528
3622128
0824228
Stop Event
1×iter limit
1×node limit
Counts
4 → 204
Calls
Call 1
Inputs
(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
(/ 2 (+ 1 (exp (* -2 x))))
(+ 1 (exp (* -2 x)))
(exp (* -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 (/.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.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)))))) (neg.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 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 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)))))) (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 #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 (/.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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.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 (/.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 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 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 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 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 (/.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 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 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -6 binary64))))) (-.f64 (exp.f64 (*.f64 x #s(literal -4 binary64))) (expm1.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 x #s(literal -4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 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)))
(neg.f64 (/.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 0 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 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(neg.f64 (/.f64 (+.f64 (neg.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 (/.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 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (+.f64 (neg.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 (/.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 #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 (/.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 (/.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 (/.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 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 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 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64))) (/.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 #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 (/.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 (neg.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 0 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 4 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (neg.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) (neg.f64 (/.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) (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 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (*.f64 x #s(literal -4 binary64))))))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 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 -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))
(*.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 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.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)))))

simplify165.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
2240×sum3-define
1752×*-lowering-*.f32
1752×*-lowering-*.f64
1508×sum5-define
1320×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049351
1130335
2308327
3817327
41900327
52736327
63205327
73956327
86691327
08068327
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
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))
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 x (*.f64 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 x (*.f64 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)))

eval27.0ms (0.3%)

Compiler

Compiled 6149 to 789 computations (87.2% saved)

prune54.0ms (0.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New23616252
Fresh000
Picked011
Done000
Total23617253
Accuracy
100.0%
Counts
253 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.1%
(/.f64 (-.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))) (+.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))) (+.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 #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))) (+.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))))))))
59.1%
(/.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))))))
59.1%
(/.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)))) #s(literal -1 binary64))))
▶33.7%
(-.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))
33.3%
(-.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))
▶32.7%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
✓59.1%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
5.6%
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #s(literal 1 binary64))
3.9%
(-.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))
4.1%
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
▶59.1%
(*.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 #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))))))
45.1%
(*.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))))))))
46.4%
(*.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)))))))
44.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶59.1%
(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)))
▶46.9%
x
Compiler

Compiled 722 to 388 computations (46.3% saved)

simplify152.0ms (1.4%)

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 (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))
✓cost-diff0
(+.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)))))))
✓cost-diff0
(/.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))))))))
✓cost-diff0
(-.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))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.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-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 #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)))))
✓cost-diff0
(*.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 #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))))))
Rules
2274×*-lowering-*.f32
2274×*-lowering-*.f64
1816×sum4-define
1572×+-lowering-+.f64
1572×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041377
194357
2222357
3511356
41647356
55939356
08157356
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))) (+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))))
(/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3))))
(+ (/ 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
(+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
8
(pow (+ 1 (exp (* -2 x))) 3)
3
(+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x)))))
(/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))
(- (/ 4 (+ 1 (exp (* -2 x)))) 2)
(/ 4 (+ 1 (exp (* -2 x))))
x
(- (/ 2 (+ 2 (* x -2))) 1)
(/ 2 (+ 2 (* x -2)))
2
(+ 2 (* x -2))
(* x -2)
x
-2
1
(- (/ 2 (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3))))))) 1)
(/ 2 (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3)))))))
2
(+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3))))))
(* x (+ -2 (* x (+ 2 (* x -4/3)))))
x
(+ -2 (* x (+ 2 (* x -4/3))))
-2
(* x (+ 2 (* x -4/3)))
(+ 2 (* x -4/3))
(* x -4/3)
-4/3
1
(- (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 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))) (+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))))
(*.f64 (/.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 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 #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))))))
(/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3))))
(/.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 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))))
(+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1)
(+.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))))
(/ 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)
(+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))
(+.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))))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))
8
#s(literal 8 binary64)
(pow (+ 1 (exp (* -2 x))) 3)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x)))))
(+.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)))))
(/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))
(/.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))))
(- (/ 4 (+ 1 (exp (* -2 x)))) 2)
(+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/ 4 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
x
(- (/ 2 (+ 2 (* x -2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))
(/ 2 (+ 2 (* x -2)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 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
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
(- (/ 2 (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3))))))) 1)
(+.f64 #s(literal -1 binary64) (/.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)))))))))
(/ 2 (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3)))))))
(/.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))))))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3))))))
(+.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)))))))
(* x (+ -2 (* x (+ 2 (* x -4/3)))))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))
x
(+ -2 (* x (+ 2 (* x -4/3))))
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))
-2
#s(literal -2 binary64)
(* x (+ 2 (* x -4/3)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))
(+ 2 (* x -4/3))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))
(* x -4/3)
(*.f64 x #s(literal -4/3 binary64))
-4/3
#s(literal -4/3 binary64)
1
#s(literal 1 binary64)
(- (exp (* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(* (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)

localize754.0ms (6.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.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)))
✓accuracy57.9%
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))))
✓accuracy99.6%
(*.f64 x #s(literal -4/3 binary64))
✓accuracy59.0%
(-.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))
✓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))))
✓accuracy59.1%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 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 #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)))))
✓accuracy100.0%
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)))
✓accuracy59.2%
(+.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))
✓accuracy59.1%
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))
Results
480.0ms74×5exit
100.0ms85×1valid
53.0ms26×2valid
34.0ms71×0valid
Compiler

Compiled 380 to 42 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 567.0ms
ival-pow: 236.0ms (41.7% of total)
compiled-spec: 56.0ms (9.9% of total)
ival-exp: 55.0ms (9.7% of total)
backward-pass: 51.0ms (9% of total)
ival-div: 47.0ms (8.3% of total)
ival-mult: 42.0ms (7.4% of total)
ival-add: 31.0ms (5.5% of total)
ival-log: 20.0ms (3.5% of total)
ival-sub: 16.0ms (2.8% of total)
...c/correct-round.rkt:119:19: 9.0ms (1.6% of total)
const: 3.0ms (0.5% of total)

series88.0ms (0.8%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* (/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))) (+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))))>
#<alt (/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3))))>
#<alt (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1)>
#<alt (/ 4 (pow (+ 1 (exp (* -2 x))) 2))>
#<alt (- (/ 2 (+ 2 (* x -2))) 1)>
#<alt (/ 2 (+ 2 (* x -2)))>
#<alt (+ 2 (* x -2))>
#<alt (* x -2)>
#<alt (- (/ 2 (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3))))))) 1)>
#<alt (/ 2 (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3)))))))>
#<alt (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3))))))>
#<alt (* x (+ -2 (* x (+ 2 (* x -4/3)))))>
#<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 (- (/ 4 (+ 1 (exp (* -2 x)))) 2)>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (* x -4/3)>
#<alt (* x (+ 2 (* x -4/3)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (exp (* -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) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- (* -1/3 x) 1))))>
#<alt (* x (+ 1 (* x (- (* x (- (* 5/3 x) 1/3)) 1))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<alt (/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))>
#<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 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 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 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) (- (* 1/3 x) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))>
#<alt (- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)>
#<alt (- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))>
#<alt (/ -3/2 (pow x 3))>
#<alt (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (* -4/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))>
#<alt (* -2 x)>
#<alt (* x (- (* 2 x) 2))>
#<alt (* x (- (* x (+ 2 (* -4/3 x))) 2))>
#<alt (* x (- (* x (+ 2 (* -4/3 x))) 2))>
#<alt (* -4/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))>
#<alt (* -4/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) 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) (- (* (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 (* 2 x)>
#<alt (* x (+ 2 (* -2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (- (* 4/15 (pow x 2)) 2/3))))>
#<alt (* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/15 (* -34/315 (pow x 2)))) 2/3))))>
#<alt (- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)>
#<alt (- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)>
#<alt (- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)>
#<alt (- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)>
#<alt (- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)>
#<alt (- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)>
#<alt (- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)>
#<alt (- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 (* 3 x))))>
#<alt (+ 1 (* x (+ 3 (* x (+ 3 (* -2 (pow x 2)))))))>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (/ 8 (pow (+ 1 (exp (* -2 x))) 3))>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* -4/3 x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* -4/3 x)))>
#<alt (* x (+ 2 (* -4/3 x)))>
#<alt (* x (+ 2 (* -4/3 x)))>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* -4/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 4/3))>
#<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))>
Calls

66 calls:

TimeVariablePointExpression
38.0ms
x
@inf
(* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)
19.0ms
x
@-inf
(* (log (/ (+ 1 (exp (* -2 x))) 2)) -1)
6.0ms
x
@0
(* (/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))) (+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))))
5.0ms
x
@inf
(* (/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))) (+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))))
4.0ms
x
@-inf
(* (/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))) (+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))))

rewrite393.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
2796×*-lowering-*.f32
2796×*-lowering-*.f64
2246×pow-lowering-pow.f64
2246×pow-lowering-pow.f32
2142×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041252
1287227
22869225
08281225
Stop Event
1×iter limit
1×node limit
Counts
22 → 508
Calls
Call 1
Inputs
(* (/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3)))) (+ 1 (/ (- (/ 4 (+ 1 (exp (* -2 x)))) 2) (+ 1 (exp (* -2 x))))))
(/ (+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1) (+ 1 (/ 8 (pow (+ 1 (exp (* -2 x))) 3))))
(+ (/ 4 (pow (+ 1 (exp (* -2 x))) 2)) -1)
(/ 4 (pow (+ 1 (exp (* -2 x))) 2))
(- (/ 2 (+ 2 (* x -2))) 1)
(/ 2 (+ 2 (* x -2)))
(+ 2 (* x -2))
(* x -2)
(- (/ 2 (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3))))))) 1)
(/ 2 (+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3)))))))
(+ 2 (* x (+ -2 (* x (+ 2 (* x -4/3))))))
(* x (+ -2 (* x (+ 2 (* x -4/3)))))
(- (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)
(- (/ 4 (+ 1 (exp (* -2 x)))) 2)
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(* x -4/3)
(* x (+ 2 (* x -4/3)))
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
Outputs
(+.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 #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 (+.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 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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(+.f64 (/.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 #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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 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 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))))
(fma.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))) #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 (/.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 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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.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 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 (+.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 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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.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 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))))) #s(literal 1 binary64)) (/.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 #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 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))))
(fma.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 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 (+.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))))) (/.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 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64))))))
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(exp.f64 (log1p.f64 (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 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.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))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) #s(literal 1 binary64)) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(/.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (exp.f64 (log1p.f64 (-.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x))))) (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -4 binary64) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -4 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)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -2 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 x) #s(literal -2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal 2 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)))))

simplify363.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
4922×*-lowering-*.f32
4922×*-lowering-*.f64
2216×+-lowering-+.f64
2216×+-lowering-+.f32
1704×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02952587
18992469
225762408
377422408
084522408
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (* (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (- (+ 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- (* -1/3 x) 1))))
(* x (+ 1 (* x (- (* x (- (* 5/3 x) 1/3)) 1))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(/ (- (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))) 1) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
(* 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))
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)
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))
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) (- (* 1/3 x) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* 2/3 x))) 1/3))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) (pow x 4))) (+ 1 (* 3/2 (/ 1 (pow x 3)))))
-1
(* -1 (+ 1 (* 3/2 (/ 1 (pow x 3)))))
(- (* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3))) 1)
(- (* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3))) 1)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* -1/3 (pow x 2)))))
(+ 1 (* x (+ 1 (* (pow x 2) (- (* 1/3 x) 1/3)))))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 9/4 (* 9/8 (/ 1 x))) x)) 3/2) (pow x 3))
(/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) (pow x 2))) (+ 3/2 (* 9/4 (/ 1 x)))) (pow x 3))
(/ -3/2 (pow x 3))
(* -1 (/ (+ 3/2 (* 9/4 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 3/2 (+ (* 9/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 3/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 9/16 (/ 1 x))) x)) 9/4) x))) (pow x 3)))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x))) x)))))
(* -2 x)
(* x (- (* 2 x) 2))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(* x (- (* x (+ 2 (* -4/3 x))) 2))
(* -4/3 (pow x 3))
(* (pow x 3) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* (pow x 3) (- (* 2 (/ 1 x)) (+ 4/3 (/ 2 (pow x 2)))))
(* -4/3 (pow x 3))
(* -1 (* (pow x 3) (- 4/3 (* 2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 4/3 (* -1 (/ (- 2 (* 2 (/ 1 x))) 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) (- (* (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))))
(* 2 x)
(* x (+ 2 (* -2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 4/15 (pow x 2)) 2/3))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 4/15 (* -34/315 (pow x 2)))) 2/3))))
(- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)
(- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)
(- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)
(- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)
(- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)
(- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)
(- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)
(- (* 4 (/ 1 (+ 1 (exp (* -2 x))))) 2)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 (* 3 x))))
(+ 1 (* x (+ 3 (* x (+ 3 (* -2 (pow x 2)))))))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* -4/3 x)
(* 2 x)
(* x (+ 2 (* -4/3 x)))
(* x (+ 2 (* -4/3 x)))
(* x (+ 2 (* -4/3 x)))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* -4/3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
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))
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 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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (* 2 (/ 1 (+ 1 (exp (* -2 x))))))) (+ 1 (* 8 (/ 1 (pow (+ 1 (exp (* -2 x))) 3)))))
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(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(/ 8 (pow (+ 1 (exp (* -2 x))) 3))
(/.f64 #s(literal 8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* -4/3 x)
(*.f64 x #s(literal -4/3 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* -4/3 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))
(* x (+ 2 (* -4/3 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))
(* x (+ 2 (* -4/3 x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64))))
(* -4/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64)))
(* -4/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -4/3 binary64))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 binary64)))
(* (pow x 2) (- (* 2 (/ 1 x)) 4/3))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -4/3 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)))

eval165.0ms (1.5%)

Compiler

Compiled 37440 to 3218 computations (91.4% saved)

prune155.0ms (1.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New101641020
Fresh4711
Picked325
Done011
Total1023141037
Accuracy
100.0%
Counts
1037 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.1%
(/.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))))))
59.1%
(/.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)))) #s(literal -1 binary64))))
✓59.1%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
6.0%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
5.6%
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #s(literal 1 binary64))
3.9%
(-.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))
✓59.1%
(*.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 #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))))))
▶45.1%
(*.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))))))))
▶46.4%
(*.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)))))))
▶44.7%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶59.1%
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
59.1%
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
✓46.9%
x
▶32.1%
#s(literal -1 binary64)
Compiler

Compiled 386 to 270 computations (30.1% saved)

simplify112.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 2/15 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓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
(log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓cost-diff0
(log.f64 #s(literal 2 binary64))
✓cost-diff0
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓cost-diff18944
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
Rules
2514×fma-define
1852×fma-lowering-fma.f32
1852×fma-lowering-fma.f64
706×*-lowering-*.f32
706×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033224
1105204
2316198
3883198
41720198
52365198
62689198
72800198
82914198
93045198
103155198
113164198
03164198
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(log 2)
2
(log (+ 1 (exp (* -2 x))))
(exp (* -2 x))
(* -2 x)
-2
x
-1
(* x (+ 1 (* -1/3 (* x x))))
x
(+ 1 (* -1/3 (* x x)))
1
(* -1/3 (* x x))
-1/3
(* x x)
(* 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))
(* x 2/15)
2/15
(* 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
Outputs
(- (exp (- (log 2) (log (+ 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))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (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
-1
#s(literal -1 binary64)
(* x (+ 1 (* -1/3 (* x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
x
(+ 1 (* -1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
1
#s(literal 1 binary64)
(* -1/3 (* x x))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15))))))
(*.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 (* (* x x) (+ -1/3 (* x (* x 2/15)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 (*.f64 x 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))
(* x 2/15)
(*.f64 x #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(* 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)

localize899.0ms (8.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.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))))))
✓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))))))))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 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 x (*.f64 x #s(literal 2/15 binary64)))))))
✓accuracy100.0%
(*.f64 x #s(literal 2/15 binary64))
✓accuracy100.0%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓accuracy100.0%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy100.0%
(exp.f64 (*.f64 #s(literal -2 binary64) x))
✓accuracy100.0%
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
✓accuracy99.9%
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))))
✓accuracy98.9%
(log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
782.0ms249×5exit
3.0ms7×0valid
Compiler

Compiled 227 to 33 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 760.0ms
ival-exp: 198.0ms (26.1% of total)
compiled-spec: 173.0ms (22.8% of total)
ival-log: 137.0ms (18% of total)
backward-pass: 97.0ms (12.8% of total)
ival-mult: 54.0ms (7.1% of total)
ival-add: 44.0ms (5.8% of total)
...c/correct-round.rkt:119:19: 31.0ms (4.1% of total)
ival-sub: 22.0ms (2.9% of total)
const: 3.0ms (0.4% of total)

series81.0ms (0.7%)

Counts
19 → 216
Calls
Call 1
Inputs
#<alt (- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)>
#<alt (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (log 2)>
#<alt (log (+ 1 (exp (* -2 x))))>
#<alt (* x (+ 1 (* -1/3 (* x x))))>
#<alt (+ 1 (* -1/3 (* x x)))>
#<alt (* -1/3 (* x x))>
#<alt (* x x)>
#<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 (+ 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 (exp (* -2 x))>
#<alt (* x 2/15)>
#<alt (+ -1/3 (* x (* x 2/15)))>
#<alt (* (* x x) -17/315)>
#<alt (* (* x x) (+ 2/15 (* (* x x) -17/315)))>
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 (- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)>
#<alt (- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)>
#<alt (- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)>
#<alt (- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)>
#<alt (- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)>
#<alt (- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)>
#<alt (- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)>
#<alt (- (exp (- (log 2) (log (+ 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 (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (- (log 2) (log (+ 1 (exp (* -2 x)))))>
#<alt (log 2)>
#<alt (+ (log 2) (* -1 x))>
#<alt (+ (log 2) (* x (- (* 1/2 x) 1)))>
#<alt (+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))>
#<alt (log (+ 1 (exp (* -2 x))))>
#<alt (log (+ 1 (exp (* -2 x))))>
#<alt (log (+ 1 (exp (* -2 x))))>
#<alt (log (+ 1 (exp (* -2 x))))>
#<alt (log (+ 1 (exp (* -2 x))))>
#<alt (log (+ 1 (exp (* -2 x))))>
#<alt (log (+ 1 (exp (* -2 x))))>
#<alt (log (+ 1 (exp (* -2 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 (* -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 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 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 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 (* 2/15 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 -1/3>
#<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 (* -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))>
Calls

54 calls:

TimeVariablePointExpression
48.0ms
x
@inf
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
17.0ms
x
@-inf
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
6.0ms
x
@inf
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
1.0ms
x
@0
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
1.0ms
x
@inf
(* x (+ 1 (* -1/3 (* x x))))

rewrite362.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
4902×*-lowering-*.f32
4902×*-lowering-*.f64
2742×/-lowering-/.f32
2742×/-lowering-/.f64
2612×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032174
1211157
21937151
09162151
Stop Event
1×iter limit
1×node limit
Counts
19 → 406
Calls
Call 1
Inputs
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(log 2)
(log (+ 1 (exp (* -2 x))))
(* x (+ 1 (* -1/3 (* x x))))
(+ 1 (* -1/3 (* x x)))
(* -1/3 (* x x))
(* x x)
(* 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 (+ 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)))))
(exp (* -2 x))
(* x 2/15)
(+ -1/3 (* x (* x 2/15)))
(* (* x x) -17/315)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
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 #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 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 #s(literal 1 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 (/.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 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 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 (/.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 (*.f64 #s(literal -2 binary64) 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 2 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(expm1.f64 (log.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 (/.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 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 (/.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 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 (/.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 #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 (/.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 (/.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))) #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 (/.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))) (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 (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))) #s(literal -1 binary64))) (neg.f64 (+.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 (*.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))))) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64)))) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))) (*.f64 x x)) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) x)

simplify307.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4114×*-lowering-*.f32
4114×*-lowering-*.f64
3716×+-lowering-+.f64
3716×+-lowering-+.f32
1414×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01421694
13881609
210401575
332641559
086941559
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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))))
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (exp (- (log 2) (log (+ 1 (exp (* -2 x)))))) 1)
(- (exp (- (log 2) (log (+ 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))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(log 2)
(+ (log 2) (* -1 x))
(+ (log 2) (* x (- (* 1/2 x) 1)))
(+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))
(log (+ 1 (exp (* -2 x))))
(log (+ 1 (exp (* -2 x))))
(log (+ 1 (exp (* -2 x))))
(log (+ 1 (exp (* -2 x))))
(log (+ 1 (exp (* -2 x))))
(log (+ 1 (exp (* -2 x))))
(log (+ 1 (exp (* -2 x))))
(log (+ 1 (exp (* -2 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 (* -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)
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)))))
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)))))
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))
(* 2/15 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)
-1/3
(- (* 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)))))
(* -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))
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 x (*.f64 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)))))))))
(- (exp (- (log 2) (log (+ 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))
(- (exp (- (log 2) (log (+ 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))
(- (exp (- (log 2) (log (+ 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))
(- (exp (- (log 2) (log (+ 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))
(- (exp (- (log 2) (log (+ 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))
(- (exp (- (log 2) (log (+ 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))
(- (exp (- (log 2) (log (+ 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))
(- (exp (- (log 2) (log (+ 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))
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 (*.f64 x 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 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(- (log 2) (log (+ 1 (exp (* -2 x)))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* -1 x))
(-.f64 (log.f64 #s(literal 2 binary64)) x)
(+ (log 2) (* x (- (* 1/2 x) 1)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ (log 2) (* x (- (* x (+ 1/2 (* -1/12 (pow x 2)))) 1)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
(log (+ 1 (exp (* -2 x))))
(log1p.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))))
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 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
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(* (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)))
(* -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 (*.f64 x 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))))

eval90.0ms (0.8%)

Compiler

Compiled 17809 to 1752 computations (90.2% saved)

prune116.0ms (1.1%)

Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New6993702
Fresh066
Picked145
Done033
Total70016716
Accuracy
100.0%
Counts
716 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶59.1%
(/.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))))))
▶59.1%
(/.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)))) #s(literal -1 binary64))))
✓59.1%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
▶6.0%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
5.6%
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #s(literal 1 binary64))
▶3.9%
(-.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))
44.7%
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
✓59.1%
(*.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 #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))))))
45.1%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))
▶45.1%
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
✓45.1%
(*.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))))))))
✓46.4%
(*.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)))))))
✓59.1%
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
59.1%
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
✓46.9%
x
✓32.1%
#s(literal -1 binary64)
Compiler

Compiled 440 to 289 computations (34.3% saved)

simplify217.0ms (2%)

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) 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))
✓cost-diff0
(/.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)))
✓cost-diff256
(/.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)))) #s(literal -1 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓cost-diff256
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))
✓cost-diff256
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 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 #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))))
✓cost-diff0
(/.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))))))
Rules
2604×+-lowering-+.f64
2604×+-lowering-+.f32
2322×*-lowering-*.f32
2322×*-lowering-*.f64
1928×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
036315
197288
2260272
31373270
43877270
57387270
08004270
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- 1 (/ 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)))
(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 (+ (* -1/3 (* x x)) (+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1)))
x
(+ (* -1/3 (* x x)) (+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1))
(* -1/3 (* x x))
-1/3
(* x x)
(+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1)
(* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
(* (* x x) (* x x))
1
(/ 1 (/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1)))
1
(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
(+ (/ 2 (+ 1 (exp (* -2 x)))) -1)
(/ 2 (+ 1 (exp (* -2 x))))
2
(+ 1 (exp (* -2 x)))
(exp (* -2 x))
(* -2 x)
-2
x
-1
Outputs
(/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 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))))))
(- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2)))
(+.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))))
1
#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)))
(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 (/ 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))))
(- (+ 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 x (*.f64 x #s(literal -1/3 binary64)))))
(+ 1 (* x (+ 1 (* -1/3 (* x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
1
#s(literal 1 binary64)
(* x (+ 1 (* -1/3 (* x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
x
(+ 1 (* -1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (* x x))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(* x (+ (* -1/3 (* x x)) (+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1)))
(*.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
(+ (* -1/3 (* x x)) (+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1))
(+.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))))))))
(* -1/3 (* x x))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))
(*.f64 (*.f64 x (*.f64 x 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)
(* (* x x) (* x x))
(*.f64 x (*.f64 x (*.f64 x x)))
1
#s(literal 1 binary64)
(/ 1 (/ 1 (+ (/ 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)))))
1
#s(literal 1 binary64)
(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
(/.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))))))
(+ (/ 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))))
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
-1
#s(literal -1 binary64)

localize309.0ms (2.8%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.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)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
✓accuracy99.9%
(/.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)))) #s(literal -1 binary64))))
✓accuracy59.1%
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))
✓accuracy99.8%
(*.f64 (*.f64 x x) (*.f64 x x))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy59.1%
(-.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))
✓accuracy59.1%
(-.f64 (+.f64 x #s(literal 1 binary64)) #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 #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 (-.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))))))
✓accuracy59.2%
(-.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))))
Results
130.0ms111×1valid
102.0ms145×0valid
Compiler

Compiled 328 to 38 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-div: 26.0ms (22.2% of total)
ival-mult: 23.0ms (19.6% of total)
...c/correct-round.rkt:119:19: 18.0ms (15.4% of total)
ival-add: 17.0ms (14.5% of total)
backward-pass: 10.0ms (8.5% of total)
ival-exp: 9.0ms (7.7% of total)
ival-sub: 7.0ms (6% of total)
ival-pow: 5.0ms (4.3% of total)
const: 1.0ms (0.9% of total)

series14.0ms (0.1%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x))))))>
#<alt (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2)))>
#<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 (+ (* -1/3 (* x x)) (+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1)))>
#<alt (+ (* -1/3 (* x x)) (+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1))>
#<alt (* -1/3 (* x x))>
#<alt (* x x)>
#<alt (/ 1 (/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1)))>
#<alt (/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))>
#<alt (+ (/ 2 (+ 1 (exp (* -2 x)))) -1)>
#<alt (/ 2 (+ 1 (exp (* -2 x))))>
#<alt (- -1 (/ 2 (+ 1 (exp (* -2 x)))))>
#<alt (* (* x x) -17/315)>
#<alt (* (* x x) (* x x))>
#<alt (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))>
#<alt (+ 1 (exp (* -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 (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))>
#<alt (* -2 x)>
#<alt (* x (- (* -1 x) 2))>
#<alt (* x (- (* x (- (* 2/3 x) 1)) 2))>
#<alt (* x (- (* x (- (* x (+ 2/3 (* 2/3 x))) 1)) 2))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<alt (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))>
#<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 (* -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 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 x)>
#<alt (/ (+ 1 (* 1/3 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<alt (/ 1 (- (* 2 (/ 1 (+ 1 (exp (* -2 x))))) 1))>
#<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 (- (* -1 x) 2)>
#<alt (- (* x (- (* 1/3 (pow x 2)) 1)) 2)>
#<alt (- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 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 (* -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 (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))>
#<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))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<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))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<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)))>
Calls

69 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x))))))
1.0ms
x
@-inf
(/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x))))))
1.0ms
x
@-inf
(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
1.0ms
x
@inf
(/ 1 (+ (/ 2 (+ 1 (exp (* -2 x)))) -1))
0.0ms
x
@inf
(- (+ 1 (* x (+ 1 (* -1/3 (* x x))))) 1)

rewrite659.0ms (6%)

Algorithm
1×batch-egg-rewrite
Rules
3128×fma-lowering-fma.f32
3128×fma-lowering-fma.f64
2348×*-lowering-*.f32
2348×*-lowering-*.f64
1844×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036251
1263189
22524186
08211186
Stop Event
1×iter limit
1×node limit
Counts
23 → 785
Calls
Call 1
Inputs
(/ (- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2))) (- -1 (/ 2 (+ 1 (exp (* -2 x))))))
(- 1 (/ 4 (pow (+ 1 (exp (* -2 x))) 2)))
(/ 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 (+ (* -1/3 (* x x)) (+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1)))
(+ (* -1/3 (* x x)) (+ (* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x))) 1))
(* -1/3 (* x x))
(* x x)
(/ 1 (/ 1 (+ (/ 2 (+ 1 (exp (* -2 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)))))
(* (* x x) -17/315)
(* (* x x) (* x x))
(* (+ 2/15 (* (* x x) -17/315)) (* (* x x) (* x x)))
(+ 1 (exp (* -2 x)))
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 #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 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 -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) (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 (/.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))
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(*.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 -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 #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)))))))))
(*.f64 (/.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)))) #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 (/.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)))) #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 (/.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 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 (+.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 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)))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -17/315 binary64)) x)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (pow.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64)))
(+.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64))))) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 289/99225 binary64)))) (-.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -4913/31255875 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -17/315 binary64))) #s(literal 2/15 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 289/99225 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) (*.f64 x x))
(*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))) (*.f64 x (*.f64 x x))) x)
(*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))) x) 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))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) (/.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (-.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 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 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 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) 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)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (expm1.f64 (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
(/.f64 (expm1.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))) (expm1.f64 (*.f64 #s(literal -2 binary64) x)))
(pow.f64 (+.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 (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 #s(literal -2 binary64) x) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x)))) (/.f64 #s(literal 1 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 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 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 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.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)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))

simplify255.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3902×*-lowering-*.f32
3902×*-lowering-*.f64
1422×+-lowering-+.f64
1422×+-lowering-+.f32
1250×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01832233
15122089
214212043
344012037
083392037
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))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(* -2 x)
(* x (- (* -1 x) 2))
(* x (- (* x (- (* 2/3 x) 1)) 2))
(* x (- (* x (- (* x (+ 2/3 (* 2/3 x))) 1)) 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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
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))
(* -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)
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 x)
(/ (+ 1 (* 1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))) x)
(/ (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 2/945 (pow x 2)) 1/45))))) x)
(/ 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))))) 1))
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
(- (* -1 x) 2)
(- (* x (- (* 1/3 (pow x 2)) 1)) 2)
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 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)))))))
(* -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))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 2/15 (pow x 4))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(* -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))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -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))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
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)))
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 x (*.f64 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))))))))
(* -1 (/ (- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.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)))) (+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.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)))) (+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.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)))) (+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.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)))) (+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.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)))) (+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.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)))) (+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.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)))) (+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2)))) (+ 1 (* 2 (/ 1 (+ 1 (exp (* -2 x))))))))
(/.f64 (+.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)))) (+.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 (- (* -1 x) 2))
(*.f64 x (-.f64 #s(literal -2 binary64) x))
(* x (- (* x (- (* 2/3 x) 1)) 2))
(*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2/3 binary64))))))
(* x (- (* x (- (* x (+ 2/3 (* 2/3 x))) 1)) 2))
(*.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 1 binary64))))))))
(- 1 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.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 (* 4 (/ 1 (pow (+ 1 (exp (* -2 x))) 2))))
(+.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
#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 #s(literal -1/3 binary64) (*.f64 x 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 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -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 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -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 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
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 (* -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)))))
(* -1/3 (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 #s(literal -1/3 binary64) (*.f64 x x))))
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(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(- (* x (- (* (pow x 2) (+ 1/3 (* -2/15 (pow x 2)))) 1)) 2)
(+.f64 #s(literal -2 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)))))))
(* -1 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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 (+ 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))))))
(* -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))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* -17/315 (pow x 6))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 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))))

eval187.0ms (1.7%)

Compiler

Compiled 37358 to 2809 computations (92.5% saved)

prune146.0ms (1.3%)

Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New127171278
Fresh224
Picked325
Done257
Total1278161294
Accuracy
100.0%
Counts
1294 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.9%
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
59.1%
(/.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) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
46.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x))
46.9%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
46.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))) x))
✓59.1%
(/.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)))) #s(literal -1 binary64))))
46.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓59.1%
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
✓6.0%
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
4.6%
(-.f64 x #s(literal 1 binary64))
44.7%
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
✓45.1%
(*.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))))))))
✓46.4%
(*.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)))))))
59.1%
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
✓46.9%
x
✓32.1%
#s(literal -1 binary64)
Compiler

Compiled 735 to 294 computations (60% saved)

regimes68.0ms (0.6%)

Counts
31 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(-.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 #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 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(*.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)))))))
(-.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))) x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x 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))
(/.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)))) #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)))))
(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 #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))))))
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (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) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.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 #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 (*.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 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 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)))))))) (+.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))))))))
Outputs
(/.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) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.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)))))))
#s(literal -1 binary64)
Calls

7 calls:

14.0ms
(*.f64 #s(literal -2 binary64) x)
10.0ms
y
9.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
9.0ms
x
7.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
Results
AccuracySegmentsBranch
100.0%3x
63.6%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)

regimes60.0ms (0.6%)

Counts
28 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(-.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 #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 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(*.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)))))))
(-.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))) x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x 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))
(/.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)))) #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)))))
(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 #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))))))
(expm1.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log1p.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)))))
Outputs
(/.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))))))
(*.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)))))))
#s(literal -1 binary64)
Calls

6 calls:

19.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
9.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
8.0ms
(*.f64 #s(literal -2 binary64) x)
8.0ms
x
7.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
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)

regimes50.0ms (0.5%)

Counts
26 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(-.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 #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 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(*.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)))))))
(-.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))) x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x 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))
(/.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)))) #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)))))
(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
(expm1.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
#s(literal -1 binary64)
Calls

6 calls:

12.0ms
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
8.0ms
(*.f64 #s(literal -2 binary64) x)
8.0ms
x
7.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
6.0ms
(+.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)

regimes45.0ms (0.4%)

Counts
24 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(-.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 #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 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(*.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)))))))
(-.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))) x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x 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))
(/.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)))) #s(literal -1 binary64))))
Outputs
(/.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)))) #s(literal -1 binary64))))
(*.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)))))))
#s(literal -1 binary64)
Calls

6 calls:

8.0ms
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
8.0ms
(exp.f64 (*.f64 #s(literal -2 binary64) x))
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)))
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)

regimes49.0ms (0.4%)

Counts
23 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(-.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 #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 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(*.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)))))))
(-.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))) x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x 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))
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 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
#s(literal -1 binary64)
Calls

6 calls:

13.0ms
(*.f64 #s(literal -2 binary64) x)
9.0ms
x
7.0ms
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
6.0ms
(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
99.9%3x
99.9%3(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64))
99.9%3(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))
99.9%3(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))
99.9%3(exp.f64 (*.f64 #s(literal -2 binary64) x))
99.9%3(*.f64 #s(literal -2 binary64) x)
Compiler

Compiled 44 to 37 computations (15.9% saved)

regimes10.0ms (0.1%)

Counts
22 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(-.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 #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 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(*.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)))))))
(-.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))) x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))
Outputs
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
75.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
19 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
(-.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 #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 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(*.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)))))))
(-.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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64)))))) x))
(-.f64 (+.f64 #s(literal 1 binary64) (*.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)))))))) #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))))))))
Outputs
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
75.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
10 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 x x) #s(literal 0 binary64)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))
Outputs
#s(literal -1 binary64)
x
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
75.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

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
32.1%1y
32.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0019755678801856302
863900.1072750664
0.0ms
-0.04663539745933801
-1.932624176313419e-18
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0019755678801856302
863900.1072750664
0.0ms
-0.04663539745933801
-1.932624176313419e-18
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0019755678801856302
863900.1072750664
0.0ms
-0.12518012480101645
-0.04663539745933801
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0019755678801856302
863900.1072750664
0.0ms
-0.04663539745933801
-1.932624176313419e-18
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0019755678801856302
863900.1072750664
0.0ms
-0.04663539745933801
-1.932624176313419e-18
Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-431950.0536375332
-0.0009877839400928151
Results
13.0ms144×0valid
Compiler

Compiled 287 to 194 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 1.0ms (17.7% of total)
ival-sub: 1.0ms (17.7% of total)
ival-exp: 1.0ms (17.7% of total)
ival-add: 1.0ms (17.7% of total)
ival-mult: 1.0ms (17.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-431950.0536375332
-0.0009877839400928151
Results
10.0ms144×0valid
Compiler

Compiled 179 to 140 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (18.2% of total)
ival-sub: 1.0ms (18.2% of total)
ival-exp: 1.0ms (18.2% of total)
ival-add: 1.0ms (18.2% of total)
ival-mult: 1.0ms (18.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch42.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
40.0ms
-431950.0536375332
-0.0009877839400928151
Results
36.0ms144×0valid
Compiler

Compiled 89 to 77 computations (13.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 27.0ms (84.3% of total)
ival-div: 1.0ms (3.1% of total)
ival-sub: 1.0ms (3.1% of total)
ival-exp: 1.0ms (3.1% of total)
ival-mult: 1.0ms (3.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify28.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
50×+-commutative_binary64
48×*-commutative_binary64
30×sub-neg_binary64
22×neg-sub0_binary64
22×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083286
1120286
2145286
3169286
4185286
5192286
6193286
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 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 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 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 #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 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 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 1152921504606847/576460752303423488 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 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)))) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 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 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -4728779608739021/2251799813685248 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x)))
(if (<=.f64 x #s(literal -3715469692580659/2251799813685248 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)))
(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 -5764607523034235/144115188075855872 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 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 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 #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 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 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 #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 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 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 1152921504606847/576460752303423488 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -3602879701896397/36028797018963968 binary64)) (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 1152921504606847/576460752303423488 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 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)))) #s(literal -1 binary64)))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 binary64)) (/.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))))))) (if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 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 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -5764607523034235/144115188075855872 binary64)) (+.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 1152921504606847/576460752303423488 binary64)) (*.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))))))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal -4728779608739021/2251799813685248 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 (*.f64 x x) #s(literal 2/945 binary64))))))) x)))
(if (<=.f64 x #s(literal -3715469692580659/2251799813685248 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) x)))
(if (<=.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness2.5s (23.3%)

Rules
4922×*-lowering-*.f32
4922×*-lowering-*.f64
4902×*-lowering-*.f32
4902×*-lowering-*.f64
3902×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01832233
15122089
214212043
344012037
083392037
0928
14828
238528
3622128
0824228
036251
1263189
22524186
08211186
041252
1287227
22869225
08281225
049351
1130335
2308327
3817327
41900327
52736327
63205327
73956327
86691327
08068327
032174
1211157
21937151
09162151
02952587
18992469
225762408
377422408
084522408
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
1×iter limit
1×node limit
Compiler

Compiled 592 to 325 computations (45.1% saved)

preprocess78.0ms (0.7%)

Remove

(abs y)

Compiler

Compiled 716 to 260 computations (63.7% saved)

end0.0ms (0%)

Profiling

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