expfmod (used to be hard to sample)

Time bar (total: 11.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze207.0ms (1.8%)

Memory
26.4MiB live, 204.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%50%0%0%0%0%12
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample4.6s (41.1%)

Memory
27.8MiB live, 4 106.7MiB allocated
Samples
1.3s1 536×5exit
1.1s2 518×2valid
877.0ms3 594×1valid
347.0ms3 159×0invalid
231.0ms2 144×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-cos: 1.3s (37.4% of total)
ival-fmod: 735.0ms (21.6% of total)
ival-exp: 623.0ms (18.3% of total)
adjust: 299.0ms (8.8% of total)
ival-sqrt: 235.0ms (6.9% of total)
ival-mult: 172.0ms (5.1% of total)
ival-neg: 52.0ms (1.5% of total)
ival-true: 10.0ms (0.3% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

explain197.0ms (1.7%)

Memory
4.5MiB live, 198.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1920-192(-5.519447271950896e-17)(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
10-0-(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
00-0-(sqrt.f64 (cos.f64 x))
00-0-(cos.f64 x)
00-0-(exp.f64 x)
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))u*o10
(exp.f64 x)underflow1
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))underflow1
(exp.f64 (neg.f64 x))overflow1
Confusion
Predicted +Predicted -
+1246
-09
Precision
1.0
Recall
0.004048582995951417
Confusion?
Predicted +Predicted MaybePredicted -
+10246
-009
Precision?
1.0
Recall?
0.004048582995951417
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms156×2valid
46.0ms208×1valid
14.0ms106×1exit
4.0ms42×0valid
Compiler

Compiled 73 to 28 computations (61.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 116.0ms
ival-exp: 32.0ms (27.7% of total)
ival-fmod: 26.0ms (22.5% of total)
ival-cos: 25.0ms (21.6% of total)
ival-sqrt: 13.0ms (11.2% of total)
adjust: 10.0ms (8.6% of total)
ival-mult: 8.0ms (6.9% of total)
ival-neg: 2.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess18.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated
Algorithm
egg-herbie
Rules
32×sub-neg
28×div-sub
24×lower-*.f32
22×lower-*.f64
22×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021
12921
26821
312221
416821
518821
620521
722421
823121
0810
01510
12210
2329
3389
4439
5499
6569
7629
8639
0639
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify5.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
24×lower-*.f32
22×lower-*.f64
12×lower-/.f32
12×lower-/.f64
lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0829
01529
12229
23228
33828
44328
54928
65628
76228
86328
06328
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize84.0ms (0.7%)

Memory
6.7MiB live, 88.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 x)
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy0.2578152510508252
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
Samples
33.0ms78×2valid
29.0ms104×1valid
7.0ms53×1exit
2.0ms21×0valid
Compiler

Compiled 31 to 10 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-exp: 16.0ms (29.4% of total)
ival-fmod: 13.0ms (23.9% of total)
ival-cos: 11.0ms (20.2% of total)
adjust: 5.0ms (9.2% of total)
ival-sqrt: 4.0ms (7.3% of total)
ival-mult: 3.0ms (5.5% of total)
ival-neg: 3.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0%)

Memory
-33.8MiB live, 4.2MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))>
#<alt (exp.f64 x)>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (cos.f64 x)>
Outputs
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
Calls

15 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms
x
@-inf
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms
x
@0
(sqrt (cos x))
0.0ms
x
@0
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))
0.0ms
x
@inf
(sqrt (cos x))

simplify251.0ms (2.2%)

Memory
37.5MiB live, 230.6MiB allocated
Algorithm
egg-herbie
Rules
13 324×lower-fma.f64
13 324×lower-fma.f32
3 658×lower-*.f64
3 658×lower-*.f32
2 382×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076401
1181380
2412368
31045358
41890358
53512358
64863358
76196358
87695358
08062336
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite98.0ms (0.9%)

Memory
-17.1MiB live, 102.7MiB allocated
Rules
612×lower-*.f32
610×lower-*.f64
600×lower-/.f64
600×lower-/.f32
252×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0823
01523
12422
26322
325722
0199222
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 64
Calls
Call 1
Inputs
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
Outputs
(neg.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(neg.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))))
(neg.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(neg.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (exp.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(/.f64 (neg.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))) (exp.f64 x))
(/.f64 (/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64)) (exp.f64 x))
(pow.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) #s(literal -1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(*.f64 (exp.f64 (neg.f64 x)) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 #s(literal -1 binary64) (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))))
(*.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 (exp.f64 (*.f64 x #s(literal -1/2 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x))))
(*.f64 (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (neg.f64 (exp.f64 x))) #s(literal -1 binary64))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(exp.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 x)))
(neg.f64 (neg.f64 (exp.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1/2 binary64)))) (exp.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/4 binary64))))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64))) (pow.f64 (cos.f64 x) #s(literal 1/8 binary64)))
(exp.f64 (log.f64 (cos.f64 x)))
(cos.f64 x)
(-.f64 (*.f64 (cos.f64 x) (cos.f64 #s(literal 0 binary64))) (*.f64 (sin.f64 x) (sin.f64 #s(literal 0 binary64))))
(-.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 x)))

eval15.0ms (0.1%)

Memory
-5.9MiB live, 30.2MiB allocated
Compiler

Compiled 1 599 to 260 computations (83.7% saved)

prune24.0ms (0.2%)

Memory
-6.3MiB live, 45.4MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11212124
Fresh000
Picked101
Done000
Total11312125
Accuracy
28.5%
Counts
125 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
7.7%
(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.5%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.4%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.2%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
24.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
6.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
Compiler

Compiled 384 to 254 computations (33.9% saved)

simplify54.0ms (0.5%)

Memory
13.8MiB live, 51.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
cost-diff0
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Rules
938×lower-fma.f32
926×lower-fma.f64
380×distribute-lft-in
332×lower-+.f64
332×lower-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041372
075372
1126372
2260367
3437367
4531367
5549367
6669367
7852367
8864367
0864367
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
x
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x #s(literal 1/24 binary64))
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize275.0ms (2.4%)

Memory
4.4MiB live, 319.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.21875
(*.f64 x #s(literal -1/720 binary64))
accuracy0.25024347188529206
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy0.2578152510508252
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy0.2578152510508252
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
accuracy0.26171875
(*.f64 x #s(literal 1/24 binary64))
accuracy0.337012338499809
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy0
(exp.f64 x)
accuracy0.2578152510508252
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.5044389470562038
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
accuracy0
(exp.f64 x)
accuracy0.2578152510508252
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy0.7376936166311323
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy0.2578152510508252
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
accuracy1.4226337951683392
#s(approx (exp x) #s(literal 1 binary64))
accuracy45.54870449074566
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
Samples
106.0ms78×2valid
59.0ms104×1valid
18.0ms53×1exit
6.0ms21×0valid
Compiler

Compiled 235 to 31 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
adjust: 24.0ms (19.5% of total)
ival-mult: 23.0ms (18.7% of total)
ival-exp: 19.0ms (15.4% of total)
ival-cos: 15.0ms (12.2% of total)
ival-fmod: 14.0ms (11.4% of total)
const: 13.0ms (10.5% of total)
ival-add: 10.0ms (8.1% of total)
ival-sqrt: 4.0ms (3.2% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory
13.9MiB live, 14.0MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))>
#<alt #s(approx (exp x) #s(literal 1 binary64))>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt (exp.f64 x)>
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal 1/24 binary64))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
#<alt (*.f64 x #s(literal -1/720 binary64))>
Outputs
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt (* 1/24 x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
#<alt (* -1/720 x)>
Calls

63 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x -1/720)
0.0ms
x
@-inf
(* x -1/720)
0.0ms
x
@-inf
(* x 1/24)
0.0ms
x
@inf
(* x 1/24)
0.0ms
x
@0
(* x 1/24)

simplify489.0ms (4.3%)

Memory
-148.1MiB live, 308.9MiB allocated
Algorithm
egg-herbie
Rules
13 324×lower-fma.f64
13 324×lower-fma.f32
3 658×lower-*.f64
3 658×lower-*.f32
2 382×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0781783
11851678
24131618
310201568
418631568
535141568
648581568
761891568
876941568
080611491
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
(* 1/24 x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
(* -1/720 x)
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
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(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
(* 1/24 x)
(*.f64 x #s(literal 1/24 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/24 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))
(* -1/720 x)
(*.f64 x #s(literal -1/720 binary64))

rewrite275.0ms (2.4%)

Memory
18.3MiB live, 329.6MiB allocated
Rules
7 572×lower-fma.f32
7 560×lower-fma.f64
5 052×lower-*.f32
5 034×lower-*.f64
3 996×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041258
075258
1203253
21282253
08212253
Stop Event
iter limit
node limit
iter limit
Counts
21 → 75
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
#s(approx (exp x) #s(literal 1 binary64))
(sqrt.f64 (cos.f64 x))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/24 binary64))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal -1/720 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))) (neg.f64 (exp.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1/2 binary64)))
(sqrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (cos.f64 x)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
(exp.f64 x)
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)))
#s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/24 binary64))
(*.f64 #s(literal 1/24 binary64) x)
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x #s(literal -1/720 binary64))
(*.f64 #s(literal -1/720 binary64) x)

eval67.0ms (0.6%)

Memory
-15.3MiB live, 57.8MiB allocated
Compiler

Compiled 5 759 to 310 computations (94.6% saved)

prune71.0ms (0.6%)

Memory
-10.6MiB live, 51.5MiB allocated
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New36612378
Fresh257
Picked145
Done000
Total36921390
Accuracy
28.5%
Counts
390 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
7.2%
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
7.7%
(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.5%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.4%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.2%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
7.3%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
13.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
16.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
16.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
27.5%
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
24.2%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
24.1%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
6.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
Compiler

Compiled 732 to 445 computations (39.2% saved)

simplify296.0ms (2.6%)

Memory
-10.0MiB live, 102.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
cost-diff256
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
cost-diff0
(sqrt.f64 (cos.f64 x))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) #s(literal 1 binary64))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Rules
5 880×lower-fma.f32
5 868×lower-fma.f64
1 852×lower-*.f32
1 838×lower-*.f64
754×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047357
083357
1132357
2235353
3513353
4992353
51172353
61340353
71617353
81735353
92246353
103114353
113803353
124169353
134252353
144281353
154298353
164420353
174464353
184464353
194464353
204464353
214464353
224476353
04476353
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
x
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
x
(sqrt.f64 (cos.f64 x))
(cos.f64 x)
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(exp.f64 x)
x
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))
(*.f64 x #s(literal -1/720 binary64))
#s(literal -1/720 binary64)
#s(literal 1/24 binary64)
#s(literal -1/2 binary64)
#s(literal 1 binary64)

localize310.0ms (2.8%)

Memory
14.0MiB live, 247.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.25024347188529206
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
accuracy0.2539090010508252
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
accuracy0.265625
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
accuracy0
(cos.f64 x)
accuracy0.00390625
(sqrt.f64 (cos.f64 x))
accuracy1.4373419941436703
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
accuracy0.2578152510508252
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.5044389470562038
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
accuracy0.6650664284851597
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy45.54870449074566
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
accuracy0.2578152510508252
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy0.7376936166311323
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy1.4226337951683392
#s(approx (exp x) #s(literal 1 binary64))
accuracy45.54870449074566
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy0.2578152510508252
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy0.7376936166311323
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy0.8088785440868458
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
accuracy45.54870449074566
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
Samples
110.0ms104×1valid
97.0ms78×2valid
18.0ms53×1exit
6.0ms21×0valid
Compiler

Compiled 220 to 34 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-exp: 34.0ms (21.1% of total)
ival-add: 30.0ms (18.6% of total)
ival-cos: 27.0ms (16.8% of total)
ival-mult: 20.0ms (12.4% of total)
adjust: 18.0ms (11.2% of total)
ival-fmod: 13.0ms (8.1% of total)
const: 9.0ms (5.6% of total)
ival-sqrt: 4.0ms (2.5% of total)
ival-div: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
23 → 276
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) #s(literal 1 binary64))>
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))>
#<alt (exp.f64 x)>
#<alt (sqrt.f64 (cos.f64 x))>
#<alt (/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))>
#<alt (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))>
#<alt (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt (cos.f64 x)>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))>
#<alt #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))>
Outputs
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp 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 (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (/ (fmod (exp x) (sqrt (cos x))) (exp x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (* 1/24 x)>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* x (+ 1/24 (* -1/720 (pow x 2))))>
#<alt (* -1/720 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))>
#<alt (* -1/720 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
#<alt (cos x)>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* x (+ (* x (* x -1/720)) 1/24))
0.0ms
x
@0
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms
x
@inf
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms
x
@-inf
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
0.0ms
x
@0
(* x (+ (* x (* x -1/720)) 1/24))

simplify707.0ms (6.3%)

Memory
-14.1MiB live, 307.8MiB allocated
Algorithm
egg-herbie
Rules
24 200×lower-fma.f64
24 200×lower-fma.f32
4 286×lower-*.f64
4 286×lower-*.f32
2 846×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01171941
13231832
28591772
338251747
086531658
Stop Event
iter limit
node limit
Counts
276 → 274
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp 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)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* -1 (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1 (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))) (+ (* -1/2 (fmod (exp x) (sqrt (cos x)))) (* 1/6 (fmod (exp x) (sqrt (cos x)))))))) (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(/ (fmod (exp x) (sqrt (cos x))) (exp x))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(* 1/24 x)
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* x (+ 1/24 (* -1/720 (pow x 2))))
(* -1/720 (pow x 3))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(* -1/720 (pow x 3))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
(cos x)
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 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))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(fma.f64 x (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 (*.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 1 binary64))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
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(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1/720 (pow x 3))
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1/720 (pow x 3))
(*.f64 #s(literal -1/720 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
(* -1 (* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2))))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)
(cos x)
(cos.f64 x)

rewrite290.0ms (2.6%)

Memory
21.1MiB live, 213.0MiB allocated
Rules
6 910×lower-fma.f32
6 898×lower-fma.f64
4 902×lower-*.f32
4 888×lower-*.f64
4 184×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047269
083269
1221265
21334265
08491265
Stop Event
iter limit
node limit
iter limit
Counts
23 → 216
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(exp.f64 x)
(sqrt.f64 (cos.f64 x))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
(fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))))
(sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(cos.f64 x)
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)))
#s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x)
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
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(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) x)
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 #s(literal 1/13824 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/720 binary64)) (*.f64 x #s(literal 1/24 binary64)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/720 binary64))) (*.f64 #s(literal -1/24 binary64) x))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/373248000 binary64)) #s(literal 1/13824 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/518400 binary64)) #s(literal -1/576 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal -1/24 binary64))))
#s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))

eval83.0ms (0.7%)

Memory
7.5MiB live, 92.9MiB allocated
Compiler

Compiled 11 413 to 1 061 computations (90.7% saved)

prune63.0ms (0.6%)

Memory
-27.9MiB live, 131.7MiB allocated
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New5389547
Fresh21012
Picked145
Done134
Total54226568
Accuracy
65.5%
Counts
568 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
7.4%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
27.5%
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
7.7%
(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.5%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.2%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
7.3%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
13.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
16.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
16.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
27.5%
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
49.6%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
13.4%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
24.1%
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) #s(literal -1 binary64)))
6.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
6.6%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
7.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
4.2%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
Compiler

Compiled 893 to 539 computations (39.6% saved)

simplify200.0ms (1.8%)

Memory
9.1MiB live, 118.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
cost-diff0
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
cost-diff0
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
cost-diff0
(exp.f64 x)
cost-diff0
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
cost-diff0
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
cost-diff0
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
cost-diff0
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
cost-diff0
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
cost-diff0
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Rules
3 536×lower-fma.f32
3 518×lower-fma.f64
1 204×lower-*.f32
1 190×lower-*.f64
616×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049435
082435
1138435
2229430
3395430
4469430
5515430
6643430
7965430
81219430
91625430
102137430
112420430
122917430
133195430
143291430
153326430
163330430
173330430
183432430
193472430
203472430
213479430
03479430
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)
x
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
x
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal -1/4 binary64))
#s(literal -1/4 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(exp.f64 x)
x
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 x x)
(fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))
(fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64))
#s(literal -1/96 binary64)
#s(literal -1/4 binary64)
#s(literal 1 binary64)
(exp.f64 (neg.f64 x))
(neg.f64 x)

localize228.0ms (2%)

Memory
22.9MiB live, 347.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 x)
accuracy0.2578152510508252
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.36651244206857503
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
accuracy0.2578152510508252
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
accuracy0.504438947056204
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
accuracy0.5186829107253632
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy45.54870449074566
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
accuracy0.2578152510508252
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
accuracy0.6650664284851597
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy0.7376936166311323
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy45.54870449074566
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy0
(exp.f64 x)
accuracy0.7376936166311323
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
accuracy1.4373419941436703
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
accuracy45.54870449074566
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
accuracy0.504438947056204
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
accuracy0.6650664284851597
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
accuracy45.54870449074566
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
accuracy48.60458882825241
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
Samples
74.0ms78×2valid
66.0ms104×1valid
21.0ms53×1exit
6.0ms21×0valid
Compiler

Compiled 248 to 35 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
adjust: 38.0ms (30.4% of total)
ival-mult: 19.0ms (15.2% of total)
ival-exp: 17.0ms (13.6% of total)
ival-fmod: 14.0ms (11.2% of total)
ival-cos: 13.0ms (10.4% of total)
ival-add: 11.0ms (8.8% of total)
const: 7.0ms (5.6% of total)
ival-sqrt: 4.0ms (3.2% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-33.5MiB live, 8.9MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))>
#<alt #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))>
#<alt #s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt (exp.f64 x)>
#<alt #s(approx (sqrt (cos x)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))>
#<alt #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))>
#<alt (*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))>
#<alt (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
#<alt #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))>
Outputs
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt (fmod (exp x) (sqrt (cos x)))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt 1>
#<alt (+ 1 (* -1/4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
#<alt (sqrt (cos x))>
Calls

60 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(sqrt (cos x))
0.0ms
x
@-inf
(+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1)
0.0ms
x
@inf
(+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1)
0.0ms
x
@0
(+ (* x (+ (* x (+ (* x 1/6) 1/2)) 1)) 1)
0.0ms
x
@inf
(* (fmod (exp x) (sqrt (cos x))) (exp (neg x)))

simplify191.0ms (1.7%)

Memory
-3.0MiB live, 356.8MiB allocated
Algorithm
egg-herbie
Rules
10 220×lower-fma.f64
10 220×lower-fma.f32
4 242×lower-*.f64
4 242×lower-*.f32
1 426×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0931837
12501732
26881656
321661606
463681606
082021503
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* 1/2 x))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(fmod (exp x) (sqrt (cos x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
(fmod (exp x) (sqrt (cos x)))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
1
(+ 1 (* -1/4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
(sqrt (cos x))
Outputs
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
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(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1/6)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(+ (* -1 (* x (fmod (exp x) (sqrt (cos x))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (-.f64 #s(literal 1 binary64) x))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* 1/2 (* x (fmod (exp x) (sqrt (cos x))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* -1 (fmod (exp x) (sqrt (cos x)))) (* x (+ (* -1/6 (* x (fmod (exp x) (sqrt (cos x))))) (* 1/2 (fmod (exp x) (sqrt (cos x)))))))) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (neg x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(* (exp (* -1 x)) (fmod (exp x) (sqrt (cos x))))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
(fmod (exp x) (sqrt (cos x)))
(fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/96 (pow x 2)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -19/5760 (pow x 2)) 1/96)) 1/4)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))
(sqrt (cos x))
(sqrt.f64 (cos.f64 x))

rewrite328.0ms (2.9%)

Memory
21.7MiB live, 496.7MiB allocated
Rules
9 880×lower-fma.f32
9 862×lower-fma.f64
3 996×lower-*.f32
3 982×lower-*.f64
3 718×lower-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049318
082318
1243313
21583313
08495313
Stop Event
iter limit
node limit
iter limit
Counts
20 → 156
Calls
Call 1
Inputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x)))
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))))
#s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)))
#s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(exp.f64 x)
(/.f64 (exp.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(/.f64 (neg.f64 (exp.f64 x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) x)
(*.f64 (exp.f64 x) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))))
(/.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) #s(literal 1 binary64))
#s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))))
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x)))))
(*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (neg.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))) (neg.f64 (exp.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
#s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))

eval46.0ms (0.4%)

Memory
23.9MiB live, 99.7MiB allocated
Compiler

Compiled 9 677 to 703 computations (92.7% saved)

prune73.0ms (0.6%)

Memory
-26.5MiB live, 143.9MiB allocated
Pruning

32 alts after pruning (23 fresh and 9 done)

PrunedKeptTotal
New42912441
Fresh31114
Picked235
Done167
Total43532467
Accuracy
65.5%
Counts
467 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.7%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
7.4%
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
27.5%
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
49.6%
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x))
49.5%
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))))
7.7%
(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.6%
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
7.7%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.5%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.2%
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
7.3%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
13.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
16.1%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
16.0%
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
13.1%
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) x)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
27.5%
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
49.6%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
13.4%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
13.4%
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
7.7%
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) #s(literal -1 binary64)))
6.6%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
15.0%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
26.3%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
24.1%
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
Compiler

Compiled 1 467 to 544 computations (62.9% saved)

regimes28.0ms (0.2%)

Memory
10.2MiB live, 51.6MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) (+.f64 x #s(literal 1 binary64)))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x))) x)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/96 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -19/5760 binary64) #s(literal -1/96 binary64))) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -19/5760 binary64)) #s(literal -1/96 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 x))
(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 #s(approx (cos x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 x))
(*.f64 (fmod.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1/4 binary64))) (exp.f64 (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (fmod.f64 (exp.f64 x) (sqrt.f64 #s(approx (cos x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))))) #s(literal -1 binary64)))
(*.f64 (fmod.f64 (exp.f64 x) (pow.f64 (pow.f64 (cos.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (neg.f64 x)))
Outputs
(/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
Calls

2 calls:

12.0ms
x
12.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
64.7%3x
64.0%2(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes7.0ms (0.1%)

Memory
-24.8MiB live, 14.2MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
Calls

1 calls:

6.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
64.0%2(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 x)))
Outputs
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
Calls

2 calls:

4.0ms
x
3.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
27.5%1x
27.5%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes6.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (cos.f64 x))))
Outputs
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
Calls

2 calls:

3.0ms
x
2.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
27.5%1x
27.5%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes6.0ms (0.1%)

Memory
-30.7MiB live, 8.7MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 (exp.f64 x) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
(*.f64 (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) (sqrt.f64 (cos.f64 x))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
x
2.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
26.3%1x
26.3%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
Outputs
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Results
AccuracySegmentsBranch
24.1%1x
24.1%1(*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x)))
Compiler

Compiled 13 to 9 computations (30.8% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03469541656449
0.9999999999999999
Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.03469541656449
0.9999999999999999
Compiler

Compiled 14 to 12 computations (14.3% saved)

simplify7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Algorithm
egg-herbie
Rules
12×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051193
163193
265193
366193
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
Outputs
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (/.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) #s(approx (sqrt (cos x)) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))) (exp.f64 x)) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(if (<=.f64 (*.f64 (fmod.f64 (exp.f64 x) (sqrt.f64 (cos.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) #s(approx (+ (* x (+ (* x 1/2) 1)) 1) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) x))) #s(approx (sqrt (cos x)) #s(literal 1 binary64)))) (/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x)))
(/.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 x))
(*.f64 (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) (+.f64 x #s(literal 1 binary64))) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))
#s(approx (* (fmod (exp x) (sqrt (cos x))) (exp (neg x))) (fmod.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(approx (sqrt (cos x)) #s(literal 1 binary64))))

soundness1.5s (13.7%)

Memory
21.2MiB live, 883.9MiB allocated
Rules
24 200×lower-fma.f64
24 200×lower-fma.f32
13 324×lower-fma.f64
13 324×lower-fma.f32
13 324×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049318
082318
1243313
21583313
08495313
047269
083269
1221265
21334265
08491265
076401
1181380
2412368
31045358
41890358
53512358
64863358
76196358
87695358
08062336
0931837
12501732
26881656
321661606
463681606
082021503
01171941
13231832
28591772
338251747
086531658
0781783
11851678
24131618
310201568
418631568
535141568
648581568
761891568
876941568
080611491
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 376 to 187 computations (50.3% saved)

preprocess43.0ms (0.4%)

Memory
-0.7MiB live, 110.7MiB allocated
Compiler

Compiled 254 to 76 computations (70.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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