ENA, Section 1.4, Exercise 4a

Time bar (total: 12.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.7%6.2%50%0%0%0%4
93.8%46.8%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%49.9%0%50%0%0%0%11
100%49.9%0%50%0%0%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample4.0s (33.2%)

Memory
-153.1MiB live, 3 370.9MiB allocated
Samples
2.9s5 632×2valid
359.0ms2 450×1valid
14.0ms174×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.9s
ival-sin: 2.1s (71.4% of total)
adjust: 240.0ms (8.2% of total)
ival-tan: 199.0ms (6.8% of total)
ival-div: 161.0ms (5.5% of total)
ival-sub: 145.0ms (4.9% of total)
ival-<=: 67.0ms (2.3% of total)
ival-and: 12.0ms (0.4% of total)
exact: 12.0ms (0.4% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain326.0ms (2.7%)

Memory
21.9MiB live, 307.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
830-0-(-.f64 x (sin.f64 x))
413(1.567717577529177e-161)2(1.0134532808668465e-105)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
00-0-(tan.f64 x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 x (sin.f64 x))cancellation830
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n420
(-.f64 x (sin.f64 x))underflow173
Confusion
Predicted +Predicted -
+1220
-3131
Precision
0.976
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12200
-30131
Precision?
0.976
Recall?
1.0
Freqs
test
numberfreq
0131
1125
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
229.0ms356×2valid
18.0ms152×1valid
0.0ms0valid
Compiler

Compiled 43 to 19 computations (55.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-sin: 111.0ms (59.3% of total)
adjust: 55.0ms (29.4% of total)
ival-div: 9.0ms (4.8% of total)
ival-sub: 7.0ms (3.7% of total)
ival-tan: 4.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess45.0ms (0.4%)

Memory
-10.8MiB live, 63.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
12617
27614
323014
457714
578914
682214
786014
888914
057
097
1147
2217
3337
4587
5887
61447
72377
84237
97037
107137
117517
127807
07807
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.2%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify21.0ms (0.2%)

Memory
-7.0MiB live, 30.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 x)
cost-diff0
(sin.f64 x)
cost-diff0
(-.f64 x (sin.f64 x))
cost-diff0
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0916
11416
22116
33316
45816
58816
614416
723716
842316
970316
1071316
1175116
1278016
078016
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize116.0ms (1%)

Memory
-3.7MiB live, 83.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(tan.f64 x)
accuracy0.0
(sin.f64 x)
accuracy8.713964337746571
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
accuracy19.10627158800984
(-.f64 x (sin.f64 x))
Samples
67.0ms178×2valid
9.0ms76×1valid
0.0ms0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-sin: 44.0ms (67.3% of total)
adjust: 11.0ms (16.8% of total)
ival-div: 4.0ms (6.1% of total)
ival-sub: 4.0ms (6.1% of total)
ival-tan: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
4 → 22
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))
1.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))
1.0ms
x
@0
((/ (- x (sin x)) (tan x)) (- x (sin x)) (sin x) (tan x))

simplify212.0ms (1.8%)

Memory
4.8MiB live, 157.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105261
1301245
2829245
32502233
45488231
08644207
Stop Event
iter limit
node limit
Counts
22 → 21
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(sin x)
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (- (/ (sin x) x) 1)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(sin x)
(sin.f64 x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 #s(literal -1 binary64) (/.f64 x (sin.f64 x))))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))

rewrite212.0ms (1.8%)

Memory
7.4MiB live, 165.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0915
13715
226915
3313615
0921715
Stop Event
iter limit
node limit
iter limit
Counts
4 → 481
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)
Outputs
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (cos.f64 x)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 #s(literal 1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x))) (pow.f64 (/.f64 x (tan.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 x (sin.f64 x)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (*.f64 (+.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) (tan.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) x) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (tan.f64 x)) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 x (sin.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x))))
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x)) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) (sin.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64))) (cos.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x)) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(*.f64 (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 x (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) x) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (+.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) (tan.f64 x)) (/.f64 (-.f64 x (sin.f64 x)) (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (sin.f64 x)) (/.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) (sin.f64 x) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal -1 binary64))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (*.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval139.0ms (1.2%)

Memory
0.8MiB live, 71.6MiB allocated
Compiler

Compiled 11 155 to 1 555 computations (86.1% saved)

prune71.0ms (0.6%)

Memory
4.6MiB live, 59.7MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New4946500
Fresh000
Picked101
Done000
Total4956501
Accuracy
99.9%
Counts
501 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.2%
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
86.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 226 to 148 computations (34.5% saved)

simplify403.0ms (3.3%)

Memory
4.0MiB live, 159.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
cost-diff0
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
cost-diff0
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff0
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033289
057289
1101289
2179289
3388289
4823289
51691289
61869289
72560289
86431289
08230289
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
#s(literal -143/604800 binary64)
(*.f64 x x)
x
#s(literal -11/15120 binary64)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64))
#s(literal -11/15120 binary64)
(*.f64 x x)
x
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

localize404.0ms (3.4%)

Memory
-4.6MiB live, 312.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(tan.f64 x)
accuracy0.09375
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
accuracy0.2074612319706513
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
accuracy8.713964337746571
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
accuracy0.0078125
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.03369417516822057
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy0.1328125
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.38671875
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy0.00390625
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.08428536886701447
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
accuracy0.1328125
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.3828125
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
accuracy0.0
(*.f64 x x)
accuracy0.17578125
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.24058331008687955
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.00390625
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.00390625
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
accuracy0.1328125
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
accuracy0.38671875
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
Samples
296.0ms178×2valid
79.0ms76×1valid
1.0ms0valid
Compiler

Compiled 247 to 34 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 214.0ms
ival-sin: 72.0ms (33.6% of total)
adjust: 51.0ms (23.8% of total)
ival-mult: 40.0ms (18.7% of total)
const: 26.0ms (12.1% of total)
ival-add: 13.0ms (6.1% of total)
ival-div: 5.0ms (2.3% of total)
ival-sub: 4.0ms (1.9% of total)
ival-pow: 3.0ms (1.4% of total)
ival-tan: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Counts
21 → 63
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(tan.f64 x)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(pow x 2)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ (sin x) x) 1)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* -143/604800 (* x x)) -11/15120) (tan x))
4.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* -143/604800 (* x x)) -11/15120) (tan x))
3.0ms
x
@0
((/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* x x) 1/6) (* x x) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (+ (* -23/360 (* x x)) 1/6) x) (+ (* -23/360 (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* (pow x 3) 1/6) (pow x 3) (+ (* -143/604800 (* x x)) -11/15120) (tan x))

simplify212.0ms (1.8%)

Memory
-26.1MiB live, 138.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0166713
1513703
21678693
35199677
08110641
Stop Event
iter limit
node limit
Counts
63 → 62
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(pow x 2)
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(pow x 3)
-11/15120
(- (* -143/604800 (pow x 2)) 11/15120)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -11/15120 (pow x 6))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 5))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* -11/15120 (pow x 4))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* -143/604800 (pow x 2))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(/ (sin x) (cos x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(* -1 (* x (- (/ (sin x) x) 1)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-11/15120
#s(literal -11/15120 binary64)
(- (* -143/604800 (pow x 2)) 11/15120)
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/15 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -23/360 (pow x 2))
(*.f64 #s(literal -23/360 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(* -11/15120 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 6) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* -11/15120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 5) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -11/15120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -11/15120 binary64))
(* -1 (* (pow x 4) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (/ 1/6 (pow x 4)) (+ 11/15120 (* 23/360 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 4 binary64)))
(* x (+ 1 (* -1 (/ (sin x) x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* -143/604800 (pow x 2))
(*.f64 #s(literal -143/604800 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 5) (- (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)

rewrite293.0ms (2.4%)

Memory
26.0MiB live, 223.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033246
057246
1207246
21326246
08370246
Stop Event
iter limit
node limit
iter limit
Counts
21 → 393
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(tan.f64 x)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x))
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(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x)))))
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(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))))
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(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
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(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64)) x) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
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(*.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) x) (*.f64 #s(literal 1/6 binary64) x))) #s(literal -1 binary64)))
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(fma.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))
(fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64))
(fma.f64 x (*.f64 #s(literal -143/604800 binary64) x) #s(literal -11/15120 binary64))
(-.f64 (/.f64 #s(literal 121/228614400 binary64) (-.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))) (/.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 20449/365783040000 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64))) (neg.f64 (/.f64 #s(literal 121/228614400 binary64) (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal 11/15120 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)) #s(literal -11/15120 binary64))
(+.f64 #s(literal -11/15120 binary64) (*.f64 (*.f64 x x) #s(literal -143/604800 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (cos.f64 x))
(neg.f64 (neg.f64 (tan.f64 x)))
(tan.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))

eval132.0ms (1.1%)

Memory
-9.6MiB live, 105.9MiB allocated
Compiler

Compiled 17 895 to 2 241 computations (87.5% saved)

prune30.0ms (0.2%)

Memory
6.3MiB live, 44.7MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New4688476
Fresh101
Picked145
Done000
Total47012482
Accuracy
100.0%
Counts
482 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
18.7%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
28.9%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 540 to 369 computations (31.7% saved)

simplify233.0ms (1.9%)

Memory
-9.6MiB live, 144.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x))
cost-diff1
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
cost-diff2
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
cost-diff0
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
cost-diff0
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff0
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
cost-diff2
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068562
0102552
1189548
2420548
31106548
42856544
56506544
08586529
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 148035889/2176782336000000 binary64)
#s(literal -1/46656 binary64)
#s(literal 1 binary64)
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal -12167/46656000 binary64)
#s(literal -1/216 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))
#s(literal 529/129600 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
#s(literal 1/36 binary64)
(*.f64 (*.f64 x x) #s(literal -23/2160 binary64))
(*.f64 x x)
#s(literal -23/2160 binary64)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
#s(literal 23/360 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)
(*.f64 (/.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x)
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) x) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
(/.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64)) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))))
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64))
(fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/46656 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 3 binary64)
#s(literal 148035889/2176782336000000 binary64)
#s(literal -1/46656 binary64)
#s(literal 1 binary64)
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))
(fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal -12167/46656000 binary64)
#s(literal -1/216 binary64)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))
#s(literal 529/129600 binary64)
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
(*.f64 (*.f64 x x) #s(literal -23/2160 binary64))
(*.f64 #s(literal -23/2160 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal -23/2160 binary64)

localize698.0ms (5.8%)

Memory
24.2MiB live, 466.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)
accuracy0.3828125
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x)
accuracy0.98828125
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
accuracy0.9921875
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
accuracy0.08428536886701447
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
accuracy0.1328125
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
accuracy0.33984375
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy0.35546875
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
accuracy0.0078125
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
accuracy0.08428536886701447
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
accuracy0.18359375
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy44.898977767954456
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy0.0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
accuracy0.1328125
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
accuracy0.23964287296935188
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
accuracy0.38671875
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
accuracy0.00390625
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.08428536886701447
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
accuracy0.10546875
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
Samples
457.0ms178×2valid
96.0ms76×1valid
1.0ms0valid
Compiler

Compiled 457 to 64 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 487.0ms
const: 206.0ms (42.3% of total)
adjust: 54.0ms (11.1% of total)
ival-mult: 54.0ms (11.1% of total)
ival-sin: 46.0ms (9.5% of total)
ival-sub: 46.0ms (9.5% of total)
ival-div: 44.0ms (9% of total)
ival-add: 20.0ms (4.1% of total)
ival-pow: 13.0ms (2.7% of total)
ival-tan: 2.0ms (0.4% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
5.4MiB live, 43.0MiB allocated
Counts
25 → 70
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x)
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
-1/46656
(- (* 148035889/2176782336000000 (pow x 12)) 1/46656)
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
-1/7776
(- (* -23/466560 (pow x 2)) 1/7776)
(- (* (pow x 2) (- (* -529/27993600 (pow x 2)) 23/466560)) 1/7776)
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/1679616000 (pow x 2)) 529/27993600)) 23/466560)) 1/7776)
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 148035889/2176782336000000 (pow x 12))
(* (pow x 12) (- 148035889/2176782336000000 (* 1/46656 (/ 1 (pow x 12)))))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -6436343/6046617600000 (pow x 10))
(* -1 (* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 279841/100776960000 (* 12167/1679616000 (/ 1 (pow x 2)))) (pow x 2))) 6436343/6046617600000))
(* (pow x 10) (- (* -1 (/ (+ 12167/1679616000 (* 529/27993600 (/ 1 (pow x 2)))) (pow x 4))) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x) x) (+ (* -23/360 (* x x)) 1/6) (/ 1/6 (* x x)) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x))
8.0ms
x
@0
((/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x) x) (+ (* -23/360 (* x x)) 1/6) (/ 1/6 (* x x)) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x))
5.0ms
x
@-inf
((/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (* (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) x) (* (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) x) (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) (/ (- x (sin x)) (tan x)) (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (* (- (/ 1/6 (* x x)) 23/360) (pow x 4)) (- (/ 1/6 (* x x)) 23/360) (/ (- x (sin x)) (tan x)) (* (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) x) (/ (* (+ (* (pow x 4) 529/129600) -1/36) x) (+ (* -23/360 (* x x)) -1/6)) (* (+ (* (pow x 4) 529/129600) -1/36) x) (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (- 1/36 (* (* x x) -23/2160)) (/ (- x (sin x)) (tan x)) (* (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x) x) (+ (* -23/360 (* x x)) 1/6) (/ 1/6 (* x x)) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160)))) (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) (* (/ (* (+ (* (pow (pow x 4) 3) 148035889/2176782336000000) -1/46656) 1) (* (+ (* (pow x 6) -12167/46656000) -1/216) (+ (* (pow x 4) 529/129600) (- 1/36 (* (* x x) -23/2160))))) x))

simplify197.0ms (1.6%)

Memory
-11.2MiB live, 267.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0214747
1563745
21612732
34168722
08651682
Stop Event
iter limit
node limit
Counts
70 → 70
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
1/6
(+ 1/6 (* -23/360 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(/ 1/6 (pow x 2))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
-1/46656
(- (* 148035889/2176782336000000 (pow x 12)) 1/46656)
1/36
(+ 1/36 (* 23/2160 (pow x 2)))
-1/7776
(- (* -23/466560 (pow x 2)) 1/7776)
(- (* (pow x 2) (- (* -529/27993600 (pow x 2)) 23/466560)) 1/7776)
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/1679616000 (pow x 2)) 529/27993600)) 23/466560)) 1/7776)
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -143/604800 (pow x 8))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 7))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -143/604800 (pow x 6))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
-23/360
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 148035889/2176782336000000 (pow x 12))
(* (pow x 12) (- 148035889/2176782336000000 (* 1/46656 (/ 1 (pow x 12)))))
(* 23/2160 (pow x 2))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(* -23/360 (pow x 2))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(* -6436343/6046617600000 (pow x 10))
(* -1 (* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2))))))
(* (pow x 10) (- (* -1 (/ (+ 279841/100776960000 (* 12167/1679616000 (/ 1 (pow x 2)))) (pow x 2))) 6436343/6046617600000))
(* (pow x 10) (- (* -1 (/ (+ 12167/1679616000 (* 529/27993600 (/ 1 (pow x 2)))) (pow x 4))) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2))))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 529/600 binary64) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (*.f64 x x) #s(literal 529/600 binary64)) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64))
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ (+ 1/6 (* -23/360 (pow x 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
-1/46656
#s(literal -1/46656 binary64)
(- (* 148035889/2176782336000000 (pow x 12)) 1/46656)
(fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64))
1/36
#s(literal 1/36 binary64)
(+ 1/36 (* 23/2160 (pow x 2)))
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))
-1/7776
#s(literal -1/7776 binary64)
(- (* -23/466560 (pow x 2)) 1/7776)
(fma.f64 #s(literal -23/466560 binary64) (*.f64 x x) #s(literal -1/7776 binary64))
(- (* (pow x 2) (- (* -529/27993600 (pow x 2)) 23/466560)) 1/7776)
(fma.f64 (fma.f64 #s(literal -529/27993600 binary64) (*.f64 x x) #s(literal -23/466560 binary64)) (*.f64 x x) #s(literal -1/7776 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -12167/1679616000 (pow x 2)) 529/27993600)) 23/466560)) 1/7776)
(fma.f64 (fma.f64 (fma.f64 #s(literal -12167/1679616000 binary64) (*.f64 x x) #s(literal -529/27993600 binary64)) (*.f64 x x) #s(literal -23/466560 binary64)) (*.f64 x x) #s(literal -1/7776 binary64))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(/ -360/23 (pow x 2))
(/.f64 #s(literal -360/23 binary64) (*.f64 x x))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* -143/604800 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 8) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 8 binary64)))
(* -143/604800 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 7) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* (pow x 7) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
(* -143/604800 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -143/604800 binary64))
(* -1 (* (pow x 6) (+ 143/604800 (* 11/15120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -143/604800 binary64) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 11/15120 (* 23/360 (/ 1 (pow x 2)))) (pow x 2))) 143/604800))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -11/15120 binary64) (/.f64 #s(literal 23/360 binary64) (*.f64 x x))) x) x) #s(literal 143/604800 binary64)))
(* (pow x 6) (- (* 1/6 (/ 1 (pow x 6))) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/6 binary64))
-23/360
#s(literal -23/360 binary64)
(- (* 1/6 (/ 1 (pow x 2))) 23/360)
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* 529/129600 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* 148035889/2176782336000000 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64))
(* (pow x 12) (- 148035889/2176782336000000 (* 1/46656 (/ 1 (pow x 12)))))
(fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64))
(* 23/2160 (pow x 2))
(*.f64 #s(literal 23/2160 binary64) (*.f64 x x))
(* (pow x 2) (+ 23/2160 (* 1/36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))
(* -23/360 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -23/360 binary64))
(* (pow x 2) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(* -6436343/6046617600000 (pow x 10))
(*.f64 (pow.f64 x #s(literal 10 binary64)) #s(literal -6436343/6046617600000 binary64))
(* -1 (* (pow x 10) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -6436343/6046617600000 binary64) (/.f64 #s(literal 279841/100776960000 binary64) (*.f64 x x))) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* -1 (/ (+ 279841/100776960000 (* 12167/1679616000 (/ 1 (pow x 2)))) (pow x 2))) 6436343/6046617600000))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -279841/100776960000 binary64) (/.f64 #s(literal 12167/1679616000 binary64) (*.f64 x x))) x) x) #s(literal 6436343/6046617600000 binary64)) (pow.f64 x #s(literal 10 binary64)))
(* (pow x 10) (- (* -1 (/ (+ 12167/1679616000 (* 529/27993600 (/ 1 (pow x 2)))) (pow x 4))) (+ 6436343/6046617600000 (* 279841/100776960000 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (-.f64 #s(literal -6436343/6046617600000 binary64) (/.f64 #s(literal 279841/100776960000 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 529/27993600 binary64) (*.f64 x x)) #s(literal 12167/1679616000 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 10 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 7) (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)) #s(literal 143/604800 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 143/604800 (+ (/ 23/360 (pow x 4)) (* 11/15120 (/ 1 (pow x 2))))) (* 1/6 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 143/604800 binary64)) (+.f64 (/.f64 #s(literal 23/360 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 11/15120 binary64) (*.f64 x x)))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (-.f64 (/.f64 #s(literal -1/36 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -529/129600 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite469.0ms (3.9%)

Memory
-8.0MiB live, 265.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068465
0102366
1398340
22956340
08509322
Stop Event
iter limit
node limit
iter limit
Counts
25 → 1 072
Calls
Call 1
Inputs
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x)
#s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x)
Outputs
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) (*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (*.f64 x x)))
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(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (/.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x))) (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/1296 binary64)) x)) (neg.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (neg.f64 x)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)) x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64))) x) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/1296 binary64)) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))))
(/.f64 (*.f64 x (neg.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) #s(literal 1 binary64)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(/.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x)) (neg.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x)) (*.f64 (neg.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/1296 binary64)) x) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (*.f64 (fma.f64 #s(literal 279841/16796160000 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/1296 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -529/4665600 binary64)))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x) (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 23/2160 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64))) (*.f64 (fma.f64 #s(literal 148035889/2176782336000000 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/46656 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64)))
(/.f64 x (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) x (*.f64 #s(literal 1/6 binary64) x))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64)))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (neg.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/6 binary64) x))
(+.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x x))))

eval331.0ms (2.7%)

Memory
0.1MiB live, 234.8MiB allocated
Compiler

Compiled 39 638 to 4 508 computations (88.6% saved)

prune23.0ms (0.2%)

Memory
36.0MiB live, 74.3MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New8317838
Fresh123
Picked415
Done044
Total83614850
Accuracy
100.0%
Counts
850 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
99.2%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
28.6%
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 555 to 380 computations (31.5% saved)

simplify128.0ms (1.1%)

Memory
-39.9MiB live, 134.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
cost-diff0
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
cost-diff0
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
cost-diff2
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
cost-diff2
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
cost-diff0
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
cost-diff0
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))
cost-diff0
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043315
065315
1103309
2163303
3305303
4460303
5816303
61297303
72153303
85054303
97019303
107875303
08028303
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 23/10 binary64)
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
#s(literal 23/10 binary64)
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x)
(*.f64 x x)
x
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
#s(literal 6 binary64)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal 1/6 binary64)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
#s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(tan.f64 x)
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
#s(literal 529/129600 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/36 binary64)
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal -23/360 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)

localize513.0ms (4.3%)

Memory
14.0MiB live, 289.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.08428536886701447
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
accuracy0.217128759768442
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
accuracy0.35546875
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
accuracy0.5
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
accuracy0.08984375
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
accuracy0.17578125
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy0.2074612319706513
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
accuracy8.713964337746571
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
accuracy0.0078125
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.08428536886701447
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
accuracy0.1328125
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
accuracy0.0
(*.f64 x x)
accuracy0.08428536886701447
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
accuracy0.10546875
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
accuracy0.241616031396994
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.08428536886701447
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
accuracy0.10546875
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))
accuracy0.10606612096811861
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))
Samples
196.0ms143×2valid
138.0ms36×3valid
71.0ms75×1valid
1.0ms0valid
Compiler

Compiled 232 to 34 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 255.0ms
ival-sin: 78.0ms (30.6% of total)
ival-mult: 53.0ms (20.8% of total)
ival-add: 42.0ms (16.5% of total)
const: 31.0ms (12.2% of total)
adjust: 22.0ms (8.6% of total)
ival-div: 19.0ms (7.5% of total)
ival-sub: 4.0ms (1.6% of total)
ival-pow: 3.0ms (1.2% of total)
ival-tan: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series98.0ms (0.8%)

Memory
-14.8MiB live, 21.3MiB allocated
Counts
20 → 50
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
Outputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(* -6 x)
(* x (- (* 23/10 (pow x 2)) 6))
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(/ -360/23 x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
Calls

3 calls:

TimeVariablePointExpression
92.0ms
x
@-inf
((/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (* (* 1/6 (* x x)) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (* x x)) (/ (- x (sin x)) (tan x)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ x (+ (* -23/360 (* x x)) -1/6))) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ x (+ (* -23/360 (* x x)) -1/6)))
3.0ms
x
@inf
((/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (* (* 1/6 (* x x)) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (* x x)) (/ (- x (sin x)) (tan x)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ x (+ (* -23/360 (* x x)) -1/6))) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ x (+ (* -23/360 (* x x)) -1/6)))
2.0ms
x
@0
((/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ (- x (sin x)) (tan x)) (/ (* x x) (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) (/ (- x (sin x)) (tan x)) (* (/ x (/ 1 (+ (* -23/360 (* x x)) 1/6))) x) (/ 1 (+ (* -23/360 (* x x)) 1/6)) (* (* 1/6 (* x x)) x) (/ (- x (sin x)) (tan x)) (- x (sin x)) (* 1/6 (* x x)) (/ (- x (sin x)) (tan x)) (* (* (+ (* 529/129600 (pow x 4)) -1/36) x) (/ x (+ (* -23/360 (* x x)) -1/6))) (* (+ (* 529/129600 (pow x 4)) -1/36) x) (+ (* 529/129600 (pow x 4)) -1/36) (/ x (+ (* -23/360 (* x x)) -1/6)))

simplify446.0ms (3.7%)

Memory
8.9MiB live, 168.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177521
1485516
21331514
33973502
08169474
Stop Event
iter limit
node limit
Counts
50 → 49
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(pow x 2)
6
(+ 6 (* 23/10 (pow x 2)))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
-1/36
(- (* 529/129600 (pow x 4)) 1/36)
(* -6 x)
(* x (- (* 23/10 (pow x 2)) 6))
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(/ -360/23 (pow x 2))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(* -23/360 (pow x 3))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* 529/129600 (pow x 5))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(/ -360/23 x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
Outputs
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x)
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 2)))
(fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* 529/600 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 529/600 binary64) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(+ 6 (* (pow x 2) (+ 23/10 (* (pow x 2) (+ 529/600 (* 12167/36000 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (*.f64 x x) #s(literal 529/600 binary64)) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal 6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/362880 binary64) (*.f64 x x) #s(literal 1/5040 binary64)) (*.f64 x x) #s(literal -1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/36 x)
(*.f64 #s(literal -1/36 binary64) x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x)
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 4)) 1/36)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (- (* 23/10 (pow x 2)) 6))
(*.f64 (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal -6 binary64)) x)
(* x (- (* (pow x 2) (+ 23/10 (* -529/600 (pow x 2)))) 6))
(*.f64 (fma.f64 (fma.f64 #s(literal -529/600 binary64) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) x)
(* x (- (* (pow x 2) (+ 23/10 (* (pow x 2) (- (* 12167/36000 (pow x 2)) 529/600)))) 6))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 12167/36000 binary64) (*.f64 x x) #s(literal -529/600 binary64)) (*.f64 x x) #s(literal 23/10 binary64)) (*.f64 x x) #s(literal -6 binary64)) x)
(/ (* x (cos x)) (sin x))
(*.f64 (/.f64 x (sin.f64 x)) (cos.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -23/360 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -23/360 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/ -360/23 (pow x 2))
(/.f64 (/.f64 #s(literal -360/23 binary64) x) x)
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x) x)
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 2)))) (pow x 2))) 360/23) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -360/23 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x x)) #s(literal 21600/529 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 2)))) (pow x 4))) (+ 360/23 (* 21600/529 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x x)) #s(literal 1296000/12167 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(* -23/360 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -23/360 binary64))
(* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 23/360))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* 529/129600 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 529/129600 binary64))
(* (pow x 5) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* 529/129600 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 4)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))
(/ -360/23 x)
(/.f64 #s(literal -360/23 binary64) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) 360/23) x)
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x)
(/ (- (* 21600/529 (/ 1 (pow x 2))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(-.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 #s(literal -21600/529 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (- (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6)))) (+ 360/23 (/ 1296000/12167 (pow x 4)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 360/23 binary64)) (-.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)))) x)
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (-.f64 (/.f64 x (sin.f64 x)) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- 23/360 (* 1/6 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (/ (sin x) x) 1)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) x)
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (-.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- 360/23 (* 21600/529 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)) #s(literal 360/23 binary64)) x)
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (* 21600/529 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64)))) x) (/.f64 #s(literal -21600/529 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (+ 360/23 (/ 1296000/12167 (pow x 4))) (+ (* 21600/529 (/ 1 (pow x 2))) (* 77760000/279841 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 77760000/279841 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 360/23 binary64)) (-.f64 (/.f64 #s(literal 1296000/12167 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 21600/529 binary64) (*.f64 x x)))) x)

rewrite359.0ms (3%)

Memory
2.7MiB live, 204.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043263
065253
1222237
21278237
08596237
Stop Event
iter limit
node limit
iter limit
Counts
20 → 703
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))))
(*.f64 x x)
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)))
#s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
#s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x)
(fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))
(/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 (*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) x) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) x)
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(*.f64 (*.f64 x x) (pow.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 x (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
(pow.f64 (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64))) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
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(fma.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))))
(fma.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x)))))
(fma.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))))
(fma.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))))
(fma.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 x (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 #s(literal 23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))) (*.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))) (*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))))
(+.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64)) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x))) (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))))
(+.f64 (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 #s(literal -23/360 binary64) (*.f64 x x))) (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) #s(literal 1/6 binary64)) (*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64))) (*.f64 #s(literal -23/360 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x)))) (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))))
(+.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64))) (*.f64 (/.f64 x (fma.f64 #s(literal -12167/46656000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 23/2160 binary64) (*.f64 x x)))))

eval165.0ms (1.4%)

Memory
2.6MiB live, 124.7MiB allocated
Compiler

Compiled 19 811 to 2 420 computations (87.8% saved)

prune33.0ms (0.3%)

Memory
16.4MiB live, 53.6MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New6646670
Fresh404
Picked325
Done055
Total67113684
Accuracy
100.0%
Counts
684 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
99.5%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
99.1%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
99.0%
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.7%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
99.4%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
99.6%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
99.3%
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Compiler

Compiled 992 to 404 computations (59.3% saved)

regimes67.0ms (0.6%)

Memory
-29.9MiB live, 17.9MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 #s(approx (- (/ 1/6 (* x x)) 23/360) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* -23/360 (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 23/360 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(approx (- x (sin x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) x)) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (pow.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) #s(literal -1/36 binary64)) x) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/6 binary64))) (tan.f64 x))
(/.f64 #s(approx (- x (sin x)) (*.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (tan.f64 x))
#s(approx (/ (- x (sin x)) (tan x)) #s(approx (* (* (+ (* (+ (* -11/15120 (* x x)) -23/360) (* x x)) 1/6) x) x) (*.f64 (-.f64 (/.f64 #s(literal -23/360 binary64) (*.f64 x x)) (-.f64 #s(literal 11/15120 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 148035889/2176782336000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -12167/46656000 binary64) #s(literal -1/216 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 529/129600 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -23/2160 binary64)))))) x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

58.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
7.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.7%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* 529/129600 (pow x 4)) -1/36) #s(literal -1/36 binary64)) x) (/.f64 x (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -11/15120 binary64) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 #s(approx (* (+ (* (pow x 4) 529/129600) -1/36) x) (*.f64 #s(literal -1/36 binary64) x)) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 x (/.f64 #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64)) x)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes32.0ms (0.3%)

Memory
-34.0MiB live, 5.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.5%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.5%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.3%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
99.3%1x
Compiler

Compiled 8 to 6 computations (25% saved)

simplify227.0ms (1.9%)

Memory
15.6MiB live, 91.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052186
177186
2108186
3213186
4466186
5847186
61486186
74475186
87898186
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -143/604800 binary64) (*.f64 x x) #s(literal -11/15120 binary64)) (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) (fma.f64 #s(literal 23/10 binary64) (*.f64 x x) #s(literal 6 binary64)))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 (fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (/.f64 x #s(approx (/ 1 (+ (* -23/360 (* x x)) 1/6)) #s(literal 6 binary64))) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* (+ (* -143/604800 (* x x)) -11/15120) (* x x)) -23/360) (* x x)) 1/6) #s(literal 1/6 binary64)) x) x))
#s(approx (/ (- x (sin x)) (tan x)) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

soundness1.3s (10.5%)

Memory
-16.6MiB live, 661.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043263
065253
1222237
21278237
08596237
033246
057246
1207246
21326246
08370246
0166713
1513703
21678693
35199677
08110641
0105261
1301245
2829245
32502233
45488231
08644207
0214747
1563745
21612732
34168722
08651682
Stop Event
fuel
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 375 to 191 computations (49.1% saved)

preprocess78.0ms (0.7%)

Memory
-2.3MiB live, 75.5MiB allocated
Remove

(abs x)

Compiler

Compiled 508 to 196 computations (61.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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