invcot (example 3.9)

Time bar (total: 16.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze9.0ms (0.1%)

Memory
-29.9MiB live, 6.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.7%50.3%0%0%0%0
0%0%49.7%50.3%0%0%0%1
0%0%49.7%50.3%0%0%0%2
25%12.4%37.3%50.3%0%0%0%3
62.5%31.1%18.6%50.3%0%0%0%4
81.3%40.4%9.3%50.3%0%0%0%5
90.6%45%4.7%50.3%0%0%0%6
95.3%47.4%2.3%50.3%0%0%0%7
97.7%48.5%1.2%50.3%0%0%0%8
98.8%49.1%0.6%50.3%0%0%0%9
99.4%49.4%0.3%50.3%0%0%0%10
99.7%49.5%0.1%50.3%0%0%0%11
99.9%49.6%0.1%50.3%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample10.3s (62.2%)

Memory
3.3MiB live, 7 971.9MiB allocated
Samples
8.2s3 850×2valid
1.4s4 311×1valid
9.0ms95×0valid
Precisions
Click to see histograms. Total time spent on operations: 9.2s
ival-tan: 7.8s (84% of total)
ival-div: 587.0ms (6.4% of total)
const: 303.0ms (3.3% of total)
adjust: 289.0ms (3.1% of total)
ival-sub: 221.0ms (2.4% of total)
ival-<: 56.0ms (0.6% of total)
ival-and: 14.0ms (0.2% of total)
exact: 5.0ms (0.1% of total)
ival-assert: 4.0ms (0% of total)
Bogosity

explain637.0ms (3.9%)

Memory
27.5MiB live, 588.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-0-(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(tan.f64 x)
00-0-(/.f64 #s(literal 1 binary64) (tan.f64 x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))cancellation2560
Confusion
Predicted +Predicted -
+2560
-00
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+25600
-000
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
520.0ms260×2valid
66.0ms250×1valid
0.0ms2×0valid
Compiler

Compiled 50 to 22 computations (56% saved)

Precisions
Click to see histograms. Total time spent on operations: 557.0ms
ival-tan: 517.0ms (92.7% of total)
ival-div: 21.0ms (3.8% of total)
adjust: 12.0ms (2.2% of total)
ival-sub: 6.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess114.0ms (0.7%)

Memory
-38.6MiB live, 43.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821
12119
25416
313116
420516
523016
623216
068
0108
1148
2228
3318
4438
5638
61028
71378
82008
92358
102578
02578
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) x))
Symmetry

(negabs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶6.1%
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(tan.f64 x)
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 x))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0619
01019
11419
22219
33119
44319
56319
610219
713719
820019
923519
1025719
025719
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(-.f64 (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)

localize274.0ms (1.7%)

Memory
18.4MiB live, 209.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(tan.f64 x)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (tan.f64 x))
accuracy60.085246695070246
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Samples
198.0ms130×2valid
68.0ms125×1valid
0.0ms1×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-tan: 232.0ms (91.8% of total)
ival-div: 11.0ms (4.4% of total)
adjust: 6.0ms (2.4% of total)
ival-sub: 3.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
4 → 16
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
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))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ (cos x) (sin x))
(/ (sin x) (cos x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x))
1.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x))
1.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (/ 1 x) (/ 1 (tan x)) (tan x))

simplify165.0ms (1%)

Memory
-0.6MiB live, 151.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067167
1179167
2458161
31335161
42099161
53100161
63691161
73955161
85095161
97281161
08214143
Stop Event
1×iter limit
1×node limit
Counts
16 → 15
Calls
Call 1
Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(/ 1 x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
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))))))))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(/ (cos x) (sin x))
(/ (sin x) (cos x))
Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/3 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/45 (pow x 2)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -2/945 (pow x 2)) 1/45)) 1/3))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/945 binary64) (*.f64 x x) #s(literal -1/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/15 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 17/315 binary64) (*.f64 x x) #s(literal 2/15 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64) x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(/ (cos x) (sin x))
(/.f64 (cos.f64 x) (sin.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

rewrite111.0ms (0.7%)

Memory
17.2MiB live, 92.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
01017
14917
245417
3571217
0922417
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 277
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) (tan.f64 x))
(tan.f64 x)
Outputs
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) (*.f64 x (sin.f64 x))) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (/.f64 (-.f64 (tan.f64 x) x) x)) (tan.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (-.f64 (pow.f64 x #s(literal -4 binary64)) (-.f64 (pow.f64 (tan.f64 x) #s(literal -4 binary64)) (pow.f64 (*.f64 x (tan.f64 x)) #s(literal -2 binary64))))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal -6 binary64)))) (fma.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x)) (-.f64 (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (tan.f64 x) x)) (*.f64 x (tan.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (neg.f64 (cos.f64 x)))
(*.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (sin.f64 x)) (cos.f64 x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64)) (*.f64 (tan.f64 x) (/.f64 x (-.f64 (tan.f64 x) x))))
(*.f64 (*.f64 (-.f64 (tan.f64 x) x) (pow.f64 (tan.f64 x) #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) (-.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 (tan.f64 x) x)) (-.f64 (tan.f64 x) x))
(*.f64 (*.f64 (-.f64 (tan.f64 x) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(*.f64 (-.f64 (tan.f64 x) x) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))))
(*.f64 (*.f64 (tan.f64 x) (/.f64 x (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (*.f64 (tan.f64 x) (/.f64 x (-.f64 (tan.f64 x) x))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) (/.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) x) (-.f64 (tan.f64 x) x))
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 (tan.f64 x) (/.f64 (-.f64 (tan.f64 x) x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (tan.f64 x) (/.f64 x (-.f64 (tan.f64 x) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (tan.f64 x) (/.f64 x (-.f64 (tan.f64 x) x))) #s(literal -1 binary64))
(/.f64 (/.f64 (-.f64 (tan.f64 x) x) (tan.f64 x)) x)
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (*.f64 (tan.f64 x) (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (tan.f64 x) #s(literal -3 binary64)))) (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (-.f64 x (tan.f64 x)) (*.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (-.f64 (tan.f64 x) x)) (/.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) x))
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(*.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 x) #s(literal 2 binary64)))
(*.f64 (tan.f64 x) #s(literal -1 binary64))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(pow.f64 (*.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) (tan.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (tan.f64 x) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (tan.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (pow.f64 (tan.f64 x) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (tan.f64 x))
(/.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (tan.f64 x) (tan.f64 x) (*.f64 #s(literal 0 binary64) (tan.f64 x)))))
(/.f64 #s(literal -1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(/.f64 (sin.f64 x) (neg.f64 (cos.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (tan.f64 x) #s(literal -1 binary64))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 x) #s(literal -1 binary64)))
(neg.f64 (tan.f64 x))
(tan.f64 x)
(-.f64 #s(literal 0 binary64) (tan.f64 x))
(+.f64 #s(literal 0 binary64) (tan.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (tan.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (tan.f64 x)))

eval44.0ms (0.3%)

Memory
-15.9MiB live, 62.5MiB allocated
Compiler

Compiled 5 199 to 765 computations (85.3% saved)

prune5.0ms (0%)

Memory
15.3MiB live, 15.3MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2884292
Fresh000
Picked101
Done000
Total2894293
Accuracy
99.6%
Counts
293 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
▶99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
▶99.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 78 to 51 computations (34.6% saved)

simplify293.0ms (1.8%)

Memory
9.8MiB live, 83.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
cost-diff0
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/3 binary64) x)
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025199
042199
174199
2136199
3286199
4624199
5929199
6986199
71023199
81517199
94714199
106534199
116939199
126964199
136964199
147188199
157208199
167208199
177226199
187226199
197232199
07232199
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(literal 2/945 binary64)
(*.f64 x x)
x
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
#s(literal 1/4725 binary64)
(*.f64 x x)
x
#s(literal 2/945 binary64)
#s(literal 1/45 binary64)
#s(literal 1/3 binary64)

localize470.0ms (2.8%)

Memory
7.4MiB live, 442.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
accuracy0.0078125
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
accuracy0.265625
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy0.00390625
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.00390625
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
accuracy0.010097509768442016
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
accuracy0.265625
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
accuracy0.07393738976096671
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
accuracy0.265625
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
accuracy0.2451274809797113
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
accuracy0.26953125
(*.f64 #s(literal 1/3 binary64) x)
Samples
332.0ms130×2valid
115.0ms125×1valid
0.0ms1×0valid
Compiler

Compiled 171 to 29 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 368.0ms
ival-tan: 259.0ms (70.3% of total)
ival-mult: 30.0ms (8.1% of total)
const: 23.0ms (6.2% of total)
adjust: 21.0ms (5.7% of total)
ival-add: 17.0ms (4.6% of total)
ival-div: 15.0ms (4.1% of total)
ival-sub: 3.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-24.2MiB live, 12.1MiB allocated
Counts
15 → 44
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
2/945
(+ 2/945 (* 1/4725 (pow x 2)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* 1/4725 (pow x 2))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))
3.0ms
x
@inf
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))
2.0ms
x
@0
((- (/ 1 x) (/ 1 (tan x))) (* 1/3 x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (* x x) 1/45) 1/3) x) (+ (* (* x x) 1/45) 1/3) (* x x) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* 2/945 (* x x)) 1/45) (* x x)) 1/3) (+ (* 2/945 (* x x)) 1/45) (- (/ 1 x) (/ 1 (tan x))) (* (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) x) (+ (* (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (* x x)) 1/3) (+ (* (+ (* 1/4725 (* x x)) 2/945) (* x x)) 1/45) (+ (* 1/4725 (* x x)) 2/945))

simplify129.0ms (0.8%)

Memory
19.8MiB live, 139.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096439
1316439
2841437
32229437
44838437
08048400
Stop Event
1×iter limit
1×node limit
Counts
44 → 44
Calls
Call 1
Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(pow x 2)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
1/45
(+ 1/45 (* 2/945 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
2/945
(+ 2/945 (* 1/4725 (pow x 2)))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/45 (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 2/945 (pow x 5))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 4))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(* 2/945 (pow x 2))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(* 1/4725 (pow x 7))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 6))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(* 1/4725 (pow x 4))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(* 1/4725 (pow x 2))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(pow x 2)
(*.f64 x x)
(+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
1/45
#s(literal 1/45 binary64)
(+ 1/45 (* 2/945 (pow x 2)))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
2/945
#s(literal 2/945 binary64)
(+ 2/945 (* 1/4725 (pow x 2)))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* 1/45 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* 2/945 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 2/945 binary64))
(* (pow x 5) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)))
(* (pow x 5) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* 2/945 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2/945 binary64))
(* (pow x 4) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(* (pow x 4) (+ 2/945 (+ (/ 1/3 (pow x 4)) (* 1/45 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* 2/945 (pow x 2))
(*.f64 #s(literal 2/945 binary64) (*.f64 x x))
(* (pow x 2) (+ 2/945 (* 1/45 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
(* 1/4725 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/4725 binary64))
(* (pow x 7) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 2/945 binary64) (*.f64 x x)) #s(literal -1/4725 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64)) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64)) (-.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2/945 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 1/4725 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4725 binary64))
(* (pow x 6) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)))
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) x) x)
(* (pow x 6) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (+ (* 2/945 (/ 1 (pow x 2))) (* 1/3 (/ 1 (pow x 6)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(* 1/4725 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4725 binary64))
(* (pow x 4) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) x) x)
(* (pow x 4) (+ 1/4725 (+ (/ 1/45 (pow x 4)) (* 2/945 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(* 1/4725 (pow x 2))
(*.f64 #s(literal 1/4725 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 2/945)))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 2/945 (* 1/45 (/ 1 (pow x 2)))) (pow x 2))) 1/4725)))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/45 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4725 binary64)) (/.f64 #s(literal -2/945 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/45 (* 1/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4725 (* 2/945 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1/45 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/4725 binary64) (/.f64 #s(literal 2/945 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite214.0ms (1.3%)

Memory
3.3MiB live, 191.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025179
042179
1183179
21397179
08319179
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 358
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(*.f64 x x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))
(/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))) (pow.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/135 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 x (*.f64 #s(literal 1/45 binary64) (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 #s(literal 1/3 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (*.f64 #s(literal 1/45 binary64) (*.f64 x x)) x)))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/893025 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/843908625 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 x x) #s(literal 2/4465125 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64))) (*.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64)) #s(literal 4/893025 binary64))) (*.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64)) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64))))
(/.f64 (-.f64 #s(literal 4/893025 binary64) (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/893025 binary64))) (neg.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/843908625 binary64))) (neg.f64 (+.f64 #s(literal 4/893025 binary64) (-.f64 (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 2/4465125 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/843908625 binary64))) (neg.f64 (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 x x) #s(literal 2/4465125 binary64))))))
(/.f64 (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -4/893025 binary64)) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64)))
(/.f64 (fma.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/843908625 binary64)) (+.f64 #s(literal 4/893025 binary64) (-.f64 (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 2/4465125 binary64)))))
(/.f64 (fma.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/843908625 binary64)) (fma.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 4/893025 binary64) (*.f64 (*.f64 x x) #s(literal 2/4465125 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (*.f64 x x))) (-.f64 #s(literal 4/893025 binary64) (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/893025 binary64) (-.f64 (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 2/4465125 binary64)))) (fma.f64 #s(literal 1/105488578125 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 8/843908625 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))))
(fma.f64 (*.f64 #s(literal 1/4725 binary64) x) x #s(literal 2/945 binary64))
(fma.f64 (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 4/893025 binary64) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64)))))
(fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/4725 binary64) #s(literal 2/945 binary64))
(fma.f64 x (*.f64 #s(literal 1/4725 binary64) x) #s(literal 2/945 binary64))
(-.f64 (/.f64 #s(literal 4/893025 binary64) (-.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64))) (/.f64 #s(literal 4/893025 binary64) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/22325625 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64))) (neg.f64 (/.f64 #s(literal 4/893025 binary64) (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal -2/945 binary64)))))
(+.f64 (*.f64 #s(literal 1/4725 binary64) (*.f64 x x)) #s(literal 2/945 binary64))
(+.f64 #s(literal 2/945 binary64) (*.f64 #s(literal 1/4725 binary64) (*.f64 x x)))

eval78.0ms (0.5%)

Memory
0.4MiB live, 118.6MiB allocated
Compiler

Compiled 17 451 to 1 918 computations (89% saved)

prune9.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4392441
Fresh000
Picked044
Done000
Total4396445
Accuracy
100.0%
Counts
445 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
▶99.4%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))))
✓99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓99.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 123 to 85 computations (30.9% saved)

simplify79.0ms (0.5%)

Memory
-4.6MiB live, 34.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
cost-diff2
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
cost-diff0
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))))
cost-diff2
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024141
036141
154137
296133
3219133
4464133
5637133
6733133
71070133
82940130
95606130
107702130
08003127
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)))
(/.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)))
#s(literal 1 binary64)
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/45 binary64) x (/.f64 #s(literal 1/3 binary64) x)) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
x
#s(literal -1/3 binary64)
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64))
(fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(literal 1/2025 binary64)
#s(literal -1/9 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
#s(literal 1/45 binary64)
(*.f64 x x)
#s(literal 1/3 binary64)

localize605.0ms (3.7%)

Memory
-53.4MiB live, 412.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
accuracy0.0078125
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
accuracy0.07393738976096671
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
accuracy0.07393738976096671
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))))
accuracy0.25
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)))
accuracy0.375
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
accuracy0.41015625
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
Samples
512.0ms130×2valid
71.0ms125×1valid
0.0ms1×0valid
Compiler

Compiled 124 to 26 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 552.0ms
ival-div: 279.0ms (50.5% of total)
ival-tan: 208.0ms (37.7% of total)
const: 26.0ms (4.7% of total)
adjust: 16.0ms (2.9% of total)
ival-add: 9.0ms (1.6% of total)
ival-mult: 8.0ms (1.4% of total)
ival-sub: 3.0ms (0.5% of total)
ival-pow: 3.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
9 → 39
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)))
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
Outputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(/ 3 x)
(/ (+ 3 (* -1/5 (pow x 2))) x)
(/ (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5))) x)
(/ (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5))) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
-1/3
(- (* 1/45 (pow x 2)) 1/3)
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 3))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 3))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 2))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) 45) (pow x 3)))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(* -1 (/ (- (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6)))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ 1 (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))) (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* 1/45 (* x x)) -1/3) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (- (/ 1 x) (/ 1 (tan x))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* 1/45 (* x x)) 1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))
2.0ms
x
@-inf
((/ 1 (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))) (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* 1/45 (* x x)) -1/3) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (- (/ 1 x) (/ 1 (tan x))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* 1/45 (* x x)) 1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))
2.0ms
x
@0
((/ 1 (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))) (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (- (/ 1 x) (/ 1 (tan x))) (+ (* 1/45 (* x x)) -1/3) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (- (/ 1 x) (/ 1 (tan x))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* 1/45 (* x x)) 1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))

simplify152.0ms (0.9%)

Memory
13.7MiB live, 131.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114402
1295402
2796402
32063402
44923402
08283378
Stop Event
1×iter limit
1×node limit
Counts
39 → 39
Calls
Call 1
Inputs
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(/ 3 x)
(/ (+ 3 (* -1/5 (pow x 2))) x)
(/ (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5))) x)
(/ (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5))) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
-1/3
(- (* 1/45 (pow x 2)) 1/3)
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
1/3
(+ 1/3 (* 1/45 (pow x 2)))
(* -1/9 x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 3))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 3))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 2))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(* 1/2025 (pow x 5))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) 45) (pow x 3)))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(* -1 (/ (- (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6)))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
Outputs
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* -1/5 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)
(/ (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/75 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64)) x)
(/ (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1125 binary64) (*.f64 x x) #s(literal 1/75 binary64)) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
-1/3
#s(literal -1/3 binary64)
(- (* 1/45 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(fma.f64 (fma.f64 #s(literal 1/75 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1125 binary64) (*.f64 x x) #s(literal 1/75 binary64)) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/45 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* -1/9 x)
(*.f64 #s(literal -1/9 binary64) x)
(* x (- (* 1/2025 (pow x 4)) 1/9))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64) (*.f64 #s(literal -1/9 binary64) x))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(/ 45 (pow x 3))
(/.f64 #s(literal 45 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/45 binary64))
(* (pow x 2) (- 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64))
(/ 45 (pow x 2))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) x)
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(* (pow x 2) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64))
(* 1/2025 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/2025 binary64))
(* (pow x 5) (- 1/2025 (* 1/9 (/ 1 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) 45) (pow x 3)))
(/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6)))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 5) (- (* 1/9 (/ 1 (pow x 4))) 1/2025)))
(*.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2025 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite263.0ms (1.6%)

Memory
11.9MiB live, 131.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024115
036129
115888
2118588
0901788
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 844
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)))
(/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x)
Outputs
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) x)
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x))
(*.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) x) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/91125 binary64) #s(literal 1/27 binary64))) (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/135 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64))) (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal -1/3 binary64)) #s(literal -1 binary64)) x) (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64))) (pow.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) x) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) (-.f64 (*.f64 (*.f64 #s(literal -1/9 binary64) x) (*.f64 #s(literal -1/9 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 #s(literal -1/9 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/9 binary64) x) (*.f64 #s(literal -1/9 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x)) (*.f64 (*.f64 #s(literal -1/9 binary64) x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/9 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x #s(literal -1/9 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal -1/9 binary64)) (*.f64 x #s(literal -1/9 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x #s(literal -1/9 binary64)) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) x)) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)))) (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/18225 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) x) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64)) x) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64))) (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64))) (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) x) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/.f64 x (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 x (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) #s(literal -1/81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4100625 binary64) (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal -1/18225 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x (fma.f64 #s(literal 1/8303765625 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1/729 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)) x))
(neg.f64 (*.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) x))
(fma.f64 (*.f64 x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) #s(literal 1/45 binary64))) x (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64))) #s(literal 1/45 binary64) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (*.f64 x x))) (*.f64 x x) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 x #s(literal 1/2025 binary64)) (pow.f64 x #s(literal 4 binary64)) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2025 binary64) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) x))
(fma.f64 (*.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 1/2025 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 x #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/45 binary64)) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x (*.f64 #s(literal -1/9 binary64) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64)) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 #s(literal -1/9 binary64) x (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x))
(fma.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x #s(literal -1/9 binary64)))
(fma.f64 x #s(literal -1/9 binary64) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/9 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/9 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/9 binary64)) x))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/9 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x) (*.f64 #s(literal -1/9 binary64) x))
(+.f64 (*.f64 #s(literal -1/9 binary64) x) (*.f64 (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64))) x))
(+.f64 (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x #s(literal -1/9 binary64)))
(+.f64 (*.f64 x #s(literal -1/9 binary64)) (*.f64 x (*.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2025 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/9 binary64)) #s(literal -1 binary64)) x)) #s(literal -1 binary64)))

eval343.0ms (2.1%)

Memory
-0.7MiB live, 111.1MiB allocated
Compiler

Compiled 24 839 to 2 967 computations (88.1% saved)

prune114.0ms (0.7%)

Memory
-10.3MiB live, 31.4MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New7023705
Fresh000
Picked202
Done044
Total7047711
Accuracy
100.0%
Counts
711 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
▶99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
▶99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))))
✓99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
✓99.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 164 to 114 computations (30.5% saved)

simplify174.0ms (1.1%)

Memory
12.6MiB live, 51.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
cost-diff0
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
cost-diff0
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
cost-diff0
#s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)))
cost-diff0
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))))
cost-diff2
(/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036233
043233
161233
285233
3104233
4122233
5142233
6181233
7216233
8407233
91033233
101632233
113123223
125803223
136631223
147286223
157814223
08035207
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)))
#s(literal 1 binary64)
#s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
#s(literal -1/5 binary64)
(*.f64 x x)
x
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
x
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
x
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
#s(literal -1/5 binary64)
(*.f64 x x)
#s(literal 3 binary64)
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (fma.f64 #s(literal -1/5 binary64) x (/.f64 #s(literal 3 binary64) x)))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (fma.f64 #s(literal -1/5 binary64) x (/.f64 #s(literal 3 binary64) x))))
#s(literal 1 binary64)
#s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))
#s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (fma.f64 #s(literal -1/5 binary64) x (/.f64 #s(literal 3 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)
(fma.f64 #s(literal -1/5 binary64) x (/.f64 #s(literal 3 binary64) x))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
#s(literal -1/5 binary64)
(*.f64 x x)
x
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
x
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))
x
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
#s(literal -1/5 binary64)
(*.f64 x x)
#s(literal 3 binary64)

localize853.0ms (5.2%)

Memory
-3.9MiB live, 311.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
accuracy0.0711752900173945
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
accuracy0.07393738976096671
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
accuracy0.0078125
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
accuracy0.07393738976096671
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
accuracy0.24673399826052236
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
accuracy0.00390625
(/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)
accuracy0.06975958825463825
#s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))
accuracy0.07393738976096671
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))))
accuracy0.25
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)))
Samples
693.0ms130×2valid
139.0ms125×1valid
0.0ms1×0valid
Compiler

Compiled 140 to 31 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 808.0ms
ival-tan: 516.0ms (63.8% of total)
ival-div: 140.0ms (17.3% of total)
adjust: 95.0ms (11.8% of total)
const: 33.0ms (4.1% of total)
ival-mult: 9.0ms (1.1% of total)
ival-add: 8.0ms (1% of total)
ival-sub: 3.0ms (0.4% of total)
ival-pow: 3.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
12 → 33
Calls
Call 1
Inputs
(/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)))
#s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
Outputs
(/ 3 x)
(/ (+ 3 (* -1/5 (pow x 2))) x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(/ (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5))) x)
(/ (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5))) x)
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(pow x 2)
(* -1/5 x)
(* x (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 3))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 3))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1 (* x (- 1/5 (* 3 (/ 1 (pow x 2))))))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) 45) (pow x 3)))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(* -1 (/ (- (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6)))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ (+ (* -1/5 (* x x)) 3) x) (- (/ 1 x) (/ 1 (tan x))) (/ 1 (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))) (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* -1/5 (* x x)) 3) (* x x))
2.0ms
x
@inf
((/ (+ (* -1/5 (* x x)) 3) x) (- (/ 1 x) (/ 1 (tan x))) (/ 1 (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))) (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* -1/5 (* x x)) 3) (* x x))
1.0ms
x
@0
((/ (+ (* -1/5 (* x x)) 3) x) (- (/ 1 x) (/ 1 (tan x))) (/ 1 (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x))) (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (- (/ 1 x) (/ 1 (tan x))) (/ x (/ 1 (+ (* 1/45 (* x x)) 1/3))) (/ 1 (+ (* 1/45 (* x x)) 1/3)) (+ (* -1/5 (* x x)) 3) (* x x))

simplify164.0ms (1%)

Memory
-10.0MiB live, 106.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100364
1264364
2731364
31927364
44744360
08330338
Stop Event
1×iter limit
1×node limit
Counts
33 → 33
Calls
Call 1
Inputs
(/ 3 x)
(/ (+ 3 (* -1/5 (pow x 2))) x)
(* 1/3 x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(/ (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5))) x)
(/ (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5))) x)
3
(+ 3 (* -1/5 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(pow x 2)
(* -1/5 x)
(* x (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1 (/ (cos x) (sin x)))
(- (/ 1 x) (/ (cos x) (sin x)))
(* 1/45 (pow x 3))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(/ 45 (pow x 3))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 3))
(/ 45 (pow x 2))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(* -1/5 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(* -1 (* x (- 1/5 (* 3 (/ 1 (pow x 2))))))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) 45) (pow x 3)))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(* -1 (/ (- (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6)))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
Outputs
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* -1/5 (pow x 2))) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* 1/45 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* 2/945 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (+ 1/45 (* (pow x 2) (+ 2/945 (* 1/4725 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(/ (+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/75 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64)) x)
(/ (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1125 binary64) (*.f64 x x) #s(literal 1/75 binary64)) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* -1/5 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* 1/75 (pow x 2)) 1/5)))
(fma.f64 (fma.f64 #s(literal 1/75 binary64) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/75 (* -1/1125 (pow x 2)))) 1/5)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/1125 binary64) (*.f64 x x) #s(literal 1/75 binary64)) (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 x x) #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* -1/5 x)
(*.f64 #s(literal -1/5 binary64) x)
(* x (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 #s(literal -1/5 binary64) x (/.f64 #s(literal 3 binary64) x))
(* -1 (/ (cos x) (sin x)))
(/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))
(- (/ 1 x) (/ (cos x) (sin x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (cos.f64 x) (sin.f64 x)))
(* 1/45 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/45 binary64))
(* (pow x 3) (+ 1/45 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x)
(/ 45 (pow x 3))
(/.f64 #s(literal 45 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/ 45 (pow x 2))
(/.f64 #s(literal 45 binary64) (*.f64 x x))
(/ (- 45 (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) x) x)
(/ (- (+ 45 (/ 10125 (pow x 4))) (* 675 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 x x))
(/ (- (+ 45 (/ 10125 (pow x 4))) (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(* -1/5 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/5 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1/5))
(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
(* -1 (* x (- 1/5 (* 3 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/5 binary64) x (/.f64 #s(literal 3 binary64) x))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) 45) (pow x 3)))
(/.f64 (-.f64 #s(literal 45 binary64) (/.f64 #s(literal 675 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* 675 (/ 1 (pow x 2))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (+ (* 675 (/ 1 (pow x 2))) (* 151875 (/ 1 (pow x 6)))) (+ 45 (/ 10125 (pow x 4)))) (pow x 3)))
(/.f64 (-.f64 (/.f64 #s(literal -151875 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 675 binary64) (*.f64 x x)) #s(literal 45 binary64)) (/.f64 #s(literal 10125 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64)))

rewrite180.0ms (1.1%)

Memory
5.9MiB live, 162.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036215
043215
1190197
21372197
08452188
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 202
Calls
Call 1
Inputs
(/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))))
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x)))
#s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64)))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
(/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))))
#s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
Outputs
(*.f64 (pow.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) x) (/.f64 (pow.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) (neg.f64 x))))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) (neg.f64 x))))
(*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) x)))
(*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))))))
(*.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) (neg.f64 x))))
(/.f64 (/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)))
(/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) x) (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (neg.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64))) (neg.f64 (*.f64 x (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))))
(/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) x))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) (*.f64 x (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) x) (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) (neg.f64 x)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) x) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)
(neg.f64 (/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))) x) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) x))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (pow.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x))))
(*.f64 (pow.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) x))))
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(/.f64 (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64)) (fma.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -3/5 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/125 binary64) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))
(fma.f64 (*.f64 x #s(literal -1/5 binary64)) x #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))
(fma.f64 x (*.f64 x #s(literal -1/5 binary64)) #s(literal 3 binary64))
(fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))) (/.f64 (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/25 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal -3 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/5 binary64)) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -1/5 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 x (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval57.0ms (0.3%)

Memory
-7.6MiB live, 67.5MiB allocated
Compiler

Compiled 11 147 to 1 195 computations (89.3% saved)

prune8.0ms (0%)

Memory
25.0MiB live, 25.0MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2801281
Fresh000
Picked123
Done044
Total2817288
Accuracy
100.0%
Counts
288 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
✓99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
✓99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.6%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
✓99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
99.5%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))))
✓99.2%
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Compiler

Compiled 404 to 189 computations (53.2% saved)

regimes9.0ms (0.1%)

Memory
-22.2MiB live, 15.7MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 #s(literal 2/945 binary64) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 (*.f64 x x) #s(literal -1/5 binary64) #s(literal 3 binary64))))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/45 (* x x)) -1/3) (* (+ (* (pow x 4) 1/2025) -1/9) x)) (/.f64 (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)) x))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/4725 binary64) (*.f64 x x) #s(literal 2/945 binary64)) (*.f64 x x) #s(literal 1/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2025 binary64) #s(literal -1/9 binary64)) x))))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
Calls

2 calls:

6.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory
7.5MiB live, 7.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/45 binary64) #s(literal 1/3 binary64)) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify92.0ms (0.6%)

Memory
6.0MiB live, 49.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02461
13261
24361
35361
47561
513561
625961
7121961
8345661
9786961
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))
Outputs
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) (fma.f64 #s(literal -1/5 binary64) (*.f64 x x) #s(literal 3 binary64)))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (/.f64 x #s(approx (/ 1 (+ (* 1/45 (* x x)) 1/3)) #s(literal 3 binary64))))
#s(approx (- (/ 1 x) (/ 1 (tan x))) (*.f64 #s(literal 1/3 binary64) x))

soundness530.0ms (3.2%)

Memory
-15.5MiB live, 377.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114402
1295402
2796402
32063402
44923402
08283378
067167
1179167
2458161
31335161
42099161
53100161
63691161
73955161
85095161
97281161
08214143
025179
042179
1183179
21397179
08319179
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 126 to 74 computations (41.3% saved)

preprocess34.0ms (0.2%)

Memory
29.0MiB live, 67.5MiB allocated
Remove

(negabs x)

Compiler

Compiled 240 to 134 computations (44.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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