ENA, Section 1.4, Exercise 4a

Time bar (total: 12.7s)

analyze2.0ms (0%)

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

Compiled 15 to 11 computations (26.7% saved)

sample3.6s (28.1%)

Memory
71.5MiB live, 5 030.3MiB allocated
Samples
2.7s5 631×2valid
344.0ms2 469×1valid
10.0ms156×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.8s
ival-sin: 1.9s (69.7% of total)
adjust: 239.0ms (8.7% of total)
ival-tan: 236.0ms (8.6% of total)
ival-div: 152.0ms (5.5% of total)
ival-sub: 135.0ms (4.9% of total)
ival-<=: 48.0ms (1.7% of total)
ival-and: 12.0ms (0.4% of total)
exact: 11.0ms (0.4% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess55.0ms (0.4%)

Memory
-1.3MiB live, 94.2MiB allocated
Algorithm
1×egg-herbie
Rules
272×lower-fma.f64
272×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
140×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
12617
27614
322914
457214
578414
681714
785514
888414
057
097
1147
2217
3337
4587
5887
61447
72347
84147
96737
106807
117187
127477
07477
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Symmetry

(abs x)

explain209.0ms (1.6%)

Memory
17.1MiB live, 485.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-256(3.142263402936496e-277)(sin.f64 x)
2560-210(3.142263402936496e-277)(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
2560-166(3.142263402936496e-277)(-.f64 x (sin.f64 x))
20-2(1.5661155664127413e-5)(tan.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 x (sin.f64 x))cancellation900
/.f64(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))u/n460
↳(-.f64 x (sin.f64 x))underflow166
Confusion
Predicted +Predicted -
+1340
-2120
Precision
0.9852941176470589
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13400
-20120
Precision?
0.9852941176470589
Recall?
1.0
Freqs
test
numberfreq
0120
1136
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
136.0ms346×2valid
19.0ms162×1valid
0.0ms4×0valid
Compiler

Compiled 69 to 29 computations (58% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-sin: 95.0ms (71.1% of total)
adjust: 13.0ms (9.7% of total)
ival-div: 12.0ms (9% of total)
ival-sub: 8.0ms (6% of total)
ival-tan: 5.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.7%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify50.0ms (0.4%)

Memory
-20.2MiB live, 18.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(tan.f64 x)
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(-.f64 x (sin.f64 x))
✓cost-diff0
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Rules
272×lower-fma.f64
272×lower-fma.f32
176×lower-*.f64
176×lower-*.f32
140×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0916
11416
22116
33316
45816
58816
614416
723416
841416
967316
1068016
1171816
1274716
074716
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)
Outputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
x
(sin.f64 x)
(tan.f64 x)

localize103.0ms (0.8%)

Memory
-53.5MiB live, 130.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(tan.f64 x)
✓accuracy6.7%
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
✓accuracy6.2%
(sin.f64 x)
✓accuracy5.4%
(-.f64 x (sin.f64 x))
Samples
84.0ms173×2valid
9.0ms81×1valid
0.0ms2×0valid
Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-sin: 66.0ms (79.1% of total)
adjust: 7.0ms (8.4% of total)
ival-div: 5.0ms (6% of total)
ival-sub: 4.0ms (4.8% of total)
ival-tan: 2.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series4.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))>
#<alt (-.f64 x (sin.f64 x))>
#<alt (sin.f64 x)>
#<alt (tan.f64 x)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))>
#<alt (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))>
#<alt (/ (* x (cos x)) (sin x))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))>
#<alt (* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt (* x (+ 1 (* -1 (/ (sin x) x))))>
#<alt x>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt (* -1 (* x (- (/ (sin x) x) 1)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt (sin x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (- x (sin x)) (tan x))
1.0ms
x
@-inf
(/ (- x (sin x)) (tan x))
0.0ms
x
@0
(/ (- x (sin x)) (tan x))
0.0ms
x
@inf
(tan x)
0.0ms
x
@-inf
(tan x)
Compiler

Compiled 88 to 58 computations (34.1% saved)

rewrite371.0ms (2.9%)

Memory
-2.5MiB live, 545.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 862×lower-*.f64
5 862×lower-*.f32
3 904×lower-/.f32
3 902×lower-/.f64
2 230×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0915
13715
226715
3309915
0902315
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 481
Calls
Call 1
Inputs
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(-.f64 x (sin.f64 x))
(sin.f64 x)
(tan.f64 x)
Outputs
(+.f64 (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(+.f64 (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))) (/.f64 x (tan.f64 x)))
(+.f64 (*.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (tan.f64 x)) (neg.f64 (neg.f64 (cos.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (tan.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (tan.f64 x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))) (tan.f64 x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 x x))) (*.f64 (+.f64 x (sin.f64 x)) #s(literal 2 binary64))) (tan.f64 x)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 x x)))) (*.f64 (tan.f64 x) (+.f64 x (sin.f64 x)))))
(-.f64 (/.f64 (*.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 (sin.f64 x) (tan.f64 x)) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))) (/.f64 (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (cos.f64 x) (/.f64 x (sin.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (tan.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) (/.f64 x (tan.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (cos.f64 x))) (/.f64 x (tan.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) x (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x)) (/.f64 x (tan.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x (sin.f64 x)) (cos.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (tan.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 x (neg.f64 (sin.f64 x))) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))
(fma.f64 (/.f64 (neg.f64 x) (sin.f64 x)) (neg.f64 (cos.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) (neg.f64 (sin.f64 x))))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 x) x) (tan.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x)))))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (tan.f64 x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (tan.f64 x) (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x))) (neg.f64 (tan.f64 x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 (tan.f64 x)) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 x) (-.f64 x (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (/.f64 (-.f64 x (sin.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (neg.f64 (cos.f64 x))) (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64)))) (+.f64 (pow.f64 (/.f64 (tan.f64 x) x) #s(literal -3 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 x) #s(literal 1 binary64) (/.f64 x (tan.f64 x))) (-.f64 (*.f64 (*.f64 x x) (pow.f64 (tan.f64 x) #s(literal -2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 x (sin.f64 x)) (*.f64 x x)) (/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (tan.f64 x))))
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(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(neg.f64 (neg.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (tan.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (neg.f64 (tan.f64 x)))
(tan.f64 x)
(neg.f64 (neg.f64 (tan.f64 x)))
(/.f64 (sin.f64 x) (cos.f64 x))
(/.f64 (sin.f64 x) (neg.f64 (neg.f64 (cos.f64 x))))
(/.f64 (tan.f64 x) #s(literal 1 binary64))
(/.f64 (neg.f64 (tan.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) (neg.f64 (cos.f64 x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x)))
(/.f64 (*.f64 (sin.f64 x) #s(literal 1 binary64)) (cos.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal -1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (neg.f64 (cos.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 (cos.f64 x) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (cos.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (neg.f64 (cos.f64 x)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (tan.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x))))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 3 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (tan.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (tan.f64 x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (tan.f64 x))) (*.f64 (neg.f64 (cos.f64 x)) (-.f64 #s(literal 0 binary64) (pow.f64 (tan.f64 x) #s(literal 2 binary64))))) (*.f64 (neg.f64 (cos.f64 x)) (+.f64 #s(literal 0 binary64) (tan.f64 x))))
(pow.f64 (tan.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (tan.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (sin.f64 x) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (tan.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (tan.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x))))

simplify733.0ms (5.8%)

Memory
28.0MiB live, 651.6MiB allocated
Algorithm
1×egg-herbie
Rules
18 358×lower-fma.f64
18 358×lower-fma.f32
5 180×lower-*.f64
5 180×lower-*.f32
3 422×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105408
1301384
2829384
32520348
45523342
08535318
Stop Event
1×iter limit
1×node limit
Counts
48 → 44
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(/ (* x (cos x)) (sin x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(/ (* x (cos x)) (sin x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(* 1/6 (pow x 3))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
(* x (+ 1 (* -1 (/ (sin x) x))))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
(* -1 (* x (- (/ (sin x) x) 1)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin x)
(sin 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))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/6 (* -23/360 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* -11/15120 (pow x 2)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -11/15120 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(* (pow x 2) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -143/604800 (pow x 2)) 11/15120)) 23/360))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -143/604800 binary64) #s(literal -11/15120 binary64))) #s(literal -23/360 binary64))) #s(literal 1/6 binary64))))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* x (+ (* -1 (/ (cos x) x)) (/ (cos x) (sin x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(/ (* x (cos x)) (sin x))
(/.f64 (*.f64 x (cos.f64 x)) (sin.f64 x))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* -1 (* x (+ (* -1 (/ (cos x) (sin x))) (/ (cos x) x))))
(*.f64 (cos.f64 x) (+.f64 (/.f64 x (sin.f64 x)) #s(literal -1 binary64)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (+ 1/6 (* -1/120 (pow x 2))))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* 1/5040 (pow x 2)) 1/120))))
(*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/5040 binary64)) #s(literal -1/120 binary64))) #s(literal 1/6 binary64)))
(* (pow x 3) (+ 1/6 (* (pow x 2) (- (* (pow x 2) (+ 1/5040 (* -1/362880 (pow x 2)))) 1/120))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/362880 binary64) #s(literal 1/5040 binary64)) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
x
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
(* x (+ 1 (* -1 (/ (sin x) x))))
(-.f64 x (sin.f64 x))
x
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
(* -1 (* x (- (/ (sin x) x) 1)))
(-.f64 x (sin.f64 x))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
(sin x)
(sin.f64 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 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 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal 17/315 binary64)) #s(literal 2/15 binary64)) #s(literal 1/3 binary64)) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))

eval194.0ms (1.5%)

Memory
-27.4MiB live, 109.6MiB allocated
Compiler

Compiled 12 233 to 1 550 computations (87.3% saved)

prune147.0ms (1.2%)

Memory
22.5MiB live, 143.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5214525
Fresh000
Picked101
Done000
Total5224526
Accuracy
99.9%
Counts
526 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.3%
(/.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
▶85.0%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
▶99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
▶99.5%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify86.0ms (0.7%)

Memory
-28.7MiB live, 49.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
✓cost-diff0
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
✓cost-diff0
(/.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff0
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓cost-diff0
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Rules
448×lower-*.f32
428×lower-*.f64
288×lower-fma.f32
284×lower-fma.f64
234×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019128
036122
173118
2164118
3258118
4324118
5399118
6495118
7516118
8538118
0538118
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(tan.f64 x)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
x
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)
Outputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
x
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
#s(literal 1/6 binary64)
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
(tan.f64 x)
(/.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
x
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -1/120 binary64))
#s(literal -1/120 binary64)
#s(literal 1/6 binary64)
(tan.f64 x)

localize118.0ms (0.9%)

Memory
31.7MiB live, 110.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy6.2%
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
✓accuracy5.4%
(tan.f64 x)
✓accuracy3.8%
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
✓accuracy2.3%
(*.f64 x #s(literal -1/120 binary64))
✓accuracy85.3%
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
✓accuracy53.3%
(*.f64 x (*.f64 x x))
✓accuracy5.4%
(tan.f64 x)
✓accuracy2.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.5%
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓accuracy5.4%
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓accuracy4.2%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy6.8%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Samples
73.0ms256×0valid
Compiler

Compiled 267 to 42 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
const: 37.0ms (60.4% of total)
ival-mult: 17.0ms (27.8% of total)
ival-div: 3.0ms (4.9% of total)
ival-tan: 2.0ms (3.3% of total)
ival-add: 2.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series57.0ms (0.5%)

Memory
-27.4MiB live, 47.8MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x x))>
#<alt (*.f64 x x)>
#<alt (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))>
#<alt (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))>
#<alt (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (/.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))>
#<alt (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))>
#<alt (tan.f64 x)>
#<alt (*.f64 x #s(literal -1/120 binary64))>
#<alt (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* -23/360 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* -23/360 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* -23/360 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* 23/360 (pow x 6))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/18 (pow x 2))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))>
#<alt (* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (/ (* (pow x 2) (cos x)) (sin x))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1/6>
#<alt (+ 1/6 (* -1/18 (pow x 2)))>
#<alt (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18)))>
#<alt (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/120 x) 1/270)) 1/18)))>
#<alt (* -1/120 (/ (* (pow x 13) (cos x)) (sin x)))>
#<alt (* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))>
#<alt (* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))>
#<alt (* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))>
#<alt (* -1/120 (/ (* (pow x 15) (cos x)) (sin x)))>
#<alt (* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))>
#<alt (* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))>
#<alt (* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 (pow x 5))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 5))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 5))))>
#<alt (* -1/120 (pow x 13))>
#<alt (* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* -1/120 (pow x 15))>
#<alt (* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))>
#<alt (* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))>
#<alt (* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 x)))>
#<alt (* x (+ 1/6 (* -1/120 x)))>
#<alt (* x (+ 1/6 (* -1/120 x)))>
#<alt (* -1/120 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* -1/120 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -1/120 (pow x 3))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 3))))>
#<alt (* x (+ 1/6 (* -1/120 (pow x 3))))>
#<alt (* -1/120 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* 1/120 (pow x 6))>
#<alt (* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 2/15 (* 17/315 (pow x 2))))))))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (/ (sin x) (cos x))>
#<alt (* -1/120 x)>
#<alt (* -1/120 x)>
#<alt (* -1/120 x)>
#<alt (* -1/120 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1/6>
#<alt (+ 1/6 (* -1/120 (pow x 3)))>
#<alt (+ 1/6 (* -1/120 (pow x 3)))>
#<alt (+ 1/6 (* -1/120 (pow x 3)))>
#<alt (* -1/120 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* -1/120 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))>
Calls

45 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(* x (+ (* x (* x -1/120)) 1/6))
2.0ms
x
@-inf
(/ (* 1/6 (* x (* x x))) (tan x))
2.0ms
x
@-inf
(/ (* x (* x (* x (+ (* x (* x -1/120)) 1/6)))) (tan x))
2.0ms
x
@inf
(/ (* x (* x (* x (+ (* x (* x -1/120)) 1/6)))) (tan x))
1.0ms
x
@-inf
(* x (* x (* x (+ (* x (* x -1/120)) 1/6))))
Compiler

Compiled 429 to 346 computations (19.3% saved)

rewrite471.0ms (3.7%)

Memory
23.6MiB live, 391.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 098×lower-fma.f32
6 094×lower-fma.f64
5 548×lower-*.f32
5 528×lower-*.f64
2 554×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019110
036104
1115100
2665100
35351100
08247100
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 697
Calls
Call 1
Inputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(tan.f64 x)
(*.f64 x #s(literal -1/120 binary64))
(fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
Outputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -23/360 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) x (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -23/360 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64)))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -12167/46656000 binary64) #s(literal 1/216 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))))) (neg.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (fma.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (*.f64 (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1/5159780352000000000 binary64) #s(literal 1/10077696 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2985984000000 binary64)) #s(literal 1/46656 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/373248000 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal -1/216 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2985984000000 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/207360000 binary64) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/518400 binary64) #s(literal 1/1296 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/207360000 binary64) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal 1/36 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)))))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/120 binary64) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)))
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/2985984000000 binary64))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1/207360000 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64)) #s(literal 1/216 binary64)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/14400 binary64)) #s(literal -1/720 binary64)) #s(literal 1/36 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x #s(literal -1/720 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) #s(literal -1/36 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728000 binary64))) #s(literal -1/216 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/14400 binary64))) (fma.f64 x (*.f64 x #s(literal -1/720 binary64)) #s(literal 1/36 binary64))))

simplify782.0ms (6.2%)

Memory
-8.4MiB live, 548.0MiB allocated
Algorithm
1×egg-herbie
Rules
15 648×lower-fma.f64
15 648×lower-fma.f32
5 616×lower-*.f64
5 616×lower-*.f32
3 112×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01381292
13641286
28301250
320951196
437571184
567241172
087851109
Stop Event
1×iter limit
1×node limit
Counts
180 → 167
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* -23/360 x)))
(* -23/360 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* -23/360 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* -23/360 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* 23/360 (pow x 6))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
1/6
(+ 1/6 (* -23/360 (pow x 3)))
(+ 1/6 (* -23/360 (pow x 3)))
(+ 1/6 (* -23/360 (pow x 3)))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* 1/6 x)
(* x (+ 1/6 (* -1/18 (pow x 2))))
(* x (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(/ (* (pow x 2) (cos x)) (sin x))
(/ (* (pow x 2) (cos x)) (sin x))
(/ (* (pow x 2) (cos x)) (sin x))
(/ (* (pow x 2) (cos x)) (sin x))
(/ (* (pow x 2) (cos x)) (sin x))
(/ (* (pow x 2) (cos x)) (sin x))
(/ (* (pow x 2) (cos x)) (sin x))
(/ (* (pow x 2) (cos x)) (sin x))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/6
(+ 1/6 (* -1/18 (pow x 2)))
(+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18)))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/120 x) 1/270)) 1/18)))
(* -1/120 (/ (* (pow x 13) (cos x)) (sin x)))
(* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))
(* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))
(* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))
(* -1/120 (/ (* (pow x 15) (cos x)) (sin x)))
(* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))
(* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))
(* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 5))))
(* x (+ 1/6 (* -1/120 (pow x 5))))
(* x (+ 1/6 (* -1/120 (pow x 5))))
(* -1/120 (pow x 13))
(* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* -1/120 (pow x 15))
(* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))
(* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))
(* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 x)))
(* x (+ 1/6 (* -1/120 x)))
(* x (+ 1/6 (* -1/120 x)))
(* -1/120 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* -1/120 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* 1/6 x)
(* x (+ 1/6 (* -1/120 (pow x 3))))
(* x (+ 1/6 (* -1/120 (pow x 3))))
(* x (+ 1/6 (* -1/120 (pow x 3))))
(* -1/120 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* 1/120 (pow x 6))
(* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))
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))))))))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(/ (sin x) (cos x))
(* -1/120 x)
(* -1/120 x)
(* -1/120 x)
(* -1/120 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
1/6
(+ 1/6 (* -1/120 (pow x 3)))
(+ 1/6 (* -1/120 (pow x 3)))
(+ 1/6 (* -1/120 (pow x 3)))
(* -1/120 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* -1/120 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* -23/360 (pow x 8))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -23/360 (pow x 8))
(*.f64 #s(literal -23/360 binary64) (pow.f64 x #s(literal 8 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 5))
(*.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) x))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) x))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (*.f64 #s(literal 1/6 binary64) x))
(* 23/360 (pow x 6))
(*.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) x))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) x))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) x))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 4))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/18 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/270 binary64) #s(literal -1/18 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/2835 (pow x 2)) 1/270)) 1/18))))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/2835 binary64) #s(literal -1/270 binary64))) #s(literal -1/18 binary64)) #s(literal 1/6 binary64)))
(/ (* (pow x 2) (cos x)) (sin x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (sin.f64 x))
(/ (* (pow x 2) (cos x)) (sin x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (sin.f64 x))
(/ (* (pow x 2) (cos x)) (sin x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (sin.f64 x))
(/ (* (pow x 2) (cos x)) (sin x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (sin.f64 x))
(/ (* (pow x 2) (cos x)) (sin x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (sin.f64 x))
(/ (* (pow x 2) (cos x)) (sin x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (sin.f64 x))
(/ (* (pow x 2) (cos x)) (sin x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (sin.f64 x))
(/ (* (pow x 2) (cos x)) (sin x))
(/.f64 (*.f64 x (*.f64 x (cos.f64 x))) (sin.f64 x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/18 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/18 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* -1/270 (pow x 2)) 1/18)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/270 binary64) #s(literal -1/18 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* (pow x 2) (- (* (pow x 2) (- (* -1/120 x) 1/270)) 1/18)))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x #s(literal -1/120 binary64) #s(literal -1/270 binary64))) #s(literal -1/18 binary64)) #s(literal 1/6 binary64))
(* -1/120 (/ (* (pow x 13) (cos x)) (sin x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 13 binary64)) (*.f64 (cos.f64 x) #s(literal -1/120 binary64))) (sin.f64 x))
(* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal 13 binary64))) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal 13 binary64))) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* (pow x 13) (+ (* -1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 4) (sin x))))))
(*.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 x #s(literal 13 binary64))) (sin.f64 x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* -1/120 (/ (* (pow x 15) (cos x)) (sin x)))
(*.f64 (cos.f64 x) (/.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 15 binary64))) (sin.f64 x)))
(* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))
(/.f64 (*.f64 (pow.f64 x #s(literal 15 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (sin.f64 x))
(* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))
(/.f64 (*.f64 (pow.f64 x #s(literal 15 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (sin.f64 x))
(* -1 (* (pow x 15) (+ (* 1/120 (/ (cos x) (sin x))) (* 1/6 (/ (cos x) (* (pow x 5) (sin x)))))))
(/.f64 (*.f64 (pow.f64 x #s(literal 15 binary64)) (*.f64 (cos.f64 x) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))) (sin.f64 x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/120 (pow x 5))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -1/120 (pow x 5))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -1/120 (pow x 5))))
(*.f64 x (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* -1/120 (pow x 13))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 13 binary64)))
(* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* (pow x 13) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 13 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* -1/120 (pow x 15))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 15 binary64)))
(* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(* -1 (* (pow x 15) (+ 1/120 (* 1/6 (/ 1 (pow x 5))))))
(*.f64 (pow.f64 x #s(literal 15 binary64)) (+.f64 #s(literal -1/120 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/120 x)))
(*.f64 x (fma.f64 x #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -1/120 x)))
(*.f64 x (fma.f64 x #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -1/120 x)))
(*.f64 x (fma.f64 x #s(literal -1/120 binary64) #s(literal 1/6 binary64)))
(* -1/120 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/120 binary64))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* -1/120 (pow x 8))
(*.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/120 binary64))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(*.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/120 binary64)))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -1/120 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -1/120 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -1/120 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64)))
(* -1/120 (pow x 5))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -1/120 binary64))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -1/120 binary64) (*.f64 #s(literal 1/6 binary64) x))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -1/120 binary64) (*.f64 #s(literal 1/6 binary64) x))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) #s(literal -1/120 binary64) (*.f64 #s(literal 1/6 binary64) x))
(* 1/120 (pow x 6))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64))
(* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) x))
(* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) x))
(* (pow x 6) (+ 1/120 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/120 binary64) (*.f64 #s(literal 1/6 binary64) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 2/15 (pow x 2))))))
(fma.f64 (*.f64 x x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 2/15 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 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 17/315 binary64) #s(literal 2/15 binary64))) #s(literal 1/3 binary64))) x)
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(/ (sin x) (cos x))
(/.f64 (sin.f64 x) (cos.f64 x))
(* -1/120 x)
(*.f64 x #s(literal -1/120 binary64))
(* -1/120 x)
(*.f64 x #s(literal -1/120 binary64))
(* -1/120 x)
(*.f64 x #s(literal -1/120 binary64))
(* -1/120 x)
(*.f64 x #s(literal -1/120 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -1/120 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -1/120 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -1/120 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(* -1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(* -1/120 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/120 binary64))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 1/120))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/120 binary64)) #s(literal 1/6 binary64))

eval281.0ms (2.2%)

Memory
11.6MiB live, 246.4MiB allocated
Compiler

Compiled 21 178 to 2 519 computations (88.1% saved)

prune91.0ms (0.7%)

Memory
8.0MiB live, 285.1MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New9266932
Fresh000
Picked224
Done000
Total9288936
Accuracy
100.0%
Counts
936 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
▶99.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
▶99.5%
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
▶99.8%
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
✓99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
▶57.7%
(*.f64 x x)
✓99.5%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
▶4.2%
#s(literal 1/6 binary64)
Compiler

Compiled 137 to 87 computations (36.5% saved)

simplify12.0ms (0.1%)

Memory
-39.1MiB live, 11.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff1088
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓cost-diff0
(*.f64 #s(literal 1/6 binary64) x)
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓cost-diff0
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
✓cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
Rules
80×lower-*.f32
72×lower-*.f64
48×lower-fma.f32
46×lower-fma.f64
36×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01291
02191
13585
26385
310285
411585
511985
011985
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
Outputs
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
#s(literal 1/6 binary64)
(*.f64 x x)
x
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
x
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)

localize53.0ms (0.4%)

Memory
-2.8MiB live, 114.6MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
✓accuracy6.9%
(*.f64 x x)
✓accuracy6.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓accuracy4.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓accuracy57.7%
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
✓accuracy5.3%
(*.f64 #s(literal 1/6 binary64) x)
✓accuracy6.9%
(*.f64 x x)
✓accuracy6.9%
(*.f64 x x)
✓accuracy4.2%
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
✓accuracy4.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
✓accuracy2.3%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
Samples
33.0ms256×0valid
Compiler

Compiled 192 to 27 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 7.0ms (33.2% of total)
ival-div: 6.0ms (28.4% of total)
const: 6.0ms (28.4% of total)
ival-add: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
8 → 96
Calls
Call 1
Inputs
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))>
#<alt (*.f64 x x)>
#<alt (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)>
#<alt (*.f64 #s(literal 1/6 binary64) x)>
#<alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))>
Outputs
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* -23/360 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* 23/360 (pow x 6))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* -23/360 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* -23/360 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt 6>
#<alt (+ 6 (* 23/10 (pow x 4)))>
#<alt (+ 6 (* (pow x 4) (+ 23/10 (* 529/600 (pow x 4)))))>
#<alt (+ 6 (* (pow x 4) (+ 23/10 (* (pow x 4) (+ 529/600 (* 12167/36000 (pow x 4)))))))>
#<alt (/ -360/23 (pow x 4))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 4))>
#<alt (/ -360/23 (pow x 4))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 4))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* -23/360 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* -23/360 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ x (/ 1 (+ (* (* x x) -23/360) 1/6)))
1.0ms
x
@inf
(* x (/ x (/ 1 (+ (* (* x x) -23/360) 1/6))))
1.0ms
x
@-inf
(/ (* x x) (/ 1 (+ (* (* x x) -23/360) 1/6)))
1.0ms
x
@inf
(/ (* x x) (/ 1 (+ (* (* x x) -23/360) 1/6)))
1.0ms
x
@-inf
(* x (/ x (/ 1 (+ (* (* x x) -23/360) 1/6))))
Compiler

Compiled 224 to 177 computations (21% saved)

rewrite420.0ms (3.3%)

Memory
22.9MiB live, 734.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 916×lower-*.f32
4 908×lower-*.f64
4 006×lower-fma.f32
4 004×lower-fma.f64
3 988×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01259
02159
17253
237453
3339353
0932553
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 968
Calls
Call 1
Inputs
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))
(*.f64 x x)
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
Outputs
(+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64))))
(+.f64 (*.f64 (neg.f64 x) #s(literal -1/6 binary64)) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))))
(+.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 23/360 binary64))) (*.f64 (neg.f64 x) #s(literal -1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 23/360 binary64)) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) (neg.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(exp.f64 (+.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(fma.f64 x #s(literal 1/6 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12167/46656000 binary64) #s(literal -1/216 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 12167/46656000 binary64) #s(literal -1/216 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x (neg.f64 x)) (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (/.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64)) (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) #s(literal -1/2 binary64))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) x)
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)) (*.f64 x (neg.f64 x)))
(*.f64 (neg.f64 x) (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64))) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) (fma.f64 (*.f64 x x) #s(literal 23/360 binary64) #s(literal -1/6 binary64)))
(*.f64 (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (/.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (/.f64 x (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (/.f64 (*.f64 x x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))
(*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 23/2160 binary64) #s(literal 1/36 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 279841/16796160000 binary64))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal 1/216 binary64)))) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -23/2160 binary64)) #s(literal 1/36 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x #s(literal -23/2160 binary64)))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)) (*.f64 x (*.f64 x #s(literal -23/2160 binary64)))))
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64))) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) #s(literal -1/36 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -12167/46656000 binary64)) #s(literal -1/216 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))) (fma.f64 x (*.f64 x #s(literal -23/2160 binary64)) #s(literal 1/36 binary64))))

simplify300.0ms (2.4%)

Memory
-11.0MiB live, 789.6MiB allocated
Algorithm
1×egg-herbie
Rules
10 986×lower-fma.f64
10 986×lower-fma.f32
4 668×lower-*.f64
4 668×lower-*.f32
2 686×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078658
1186658
2355652
3616628
41558628
56527616
08627574
Stop Event
1×iter limit
1×node limit
Counts
96 → 88
Calls
Call 1
Inputs
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* -23/360 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* 23/360 (pow x 6))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* -23/360 x)))
(* -23/360 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* -23/360 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
6
(+ 6 (* 23/10 (pow x 4)))
(+ 6 (* (pow x 4) (+ 23/10 (* 529/600 (pow x 4)))))
(+ 6 (* (pow x 4) (+ 23/10 (* (pow x 4) (+ 529/600 (* 12167/36000 (pow x 4)))))))
(/ -360/23 (pow x 4))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 4))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 4))
(/ -360/23 (pow x 4))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 4))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 4))
1/6
(+ 1/6 (* -23/360 (pow x 3)))
(+ 1/6 (* -23/360 (pow x 3)))
(+ 1/6 (* -23/360 (pow x 3)))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* -23/360 x)))
(* -23/360 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* -23/360 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64)))
(* -23/360 (pow x 5))
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* 23/360 (pow x 6))
(*.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(fma.f64 #s(literal 1/6 binary64) x (*.f64 #s(literal 23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* -23/360 (pow x 8))
(*.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* -23/360 (pow x 8))
(*.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
6
#s(literal 6 binary64)
(+ 6 (* 23/10 (pow x 4)))
(fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 23/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 4) (+ 23/10 (* 529/600 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/600 binary64)) #s(literal 23/10 binary64)) #s(literal 6 binary64))
(+ 6 (* (pow x 4) (+ 23/10 (* (pow x 4) (+ 529/600 (* 12167/36000 (pow x 4)))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 12167/36000 binary64)) #s(literal 529/600 binary64))) #s(literal 23/10 binary64)) #s(literal 6 binary64))
(/ -360/23 (pow x 4))
(/.f64 #s(literal -360/23 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 4))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (+.f64 #s(literal 1296000/12167 binary64) (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 21600/529 binary64)) #s(literal -360/23 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -360/23 (pow x 4))
(/.f64 #s(literal -360/23 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 4))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal -21600/529 binary64) (/.f64 #s(literal -1296000/12167 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 4))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (+.f64 #s(literal 1296000/12167 binary64) (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 21600/529 binary64)) #s(literal -360/23 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal 1/6 binary64))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* -23/360 (pow x 8))
(*.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* -23/360 (pow x 8))
(*.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))))

eval173.0ms (1.4%)

Memory
-22.0MiB live, 414.0MiB allocated
Compiler

Compiled 36 556 to 2 775 computations (92.4% saved)

prune119.0ms (0.9%)

Memory
16.4MiB live, 374.7MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1 39831 401
Fresh011
Picked235
Done022
Total1 40091 409
Accuracy
100.0%
Counts
1 409 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
▶99.6%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
▶99.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓99.5%
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
▶99.6%
(*.f64 x (/.f64 x #s(literal 6 binary64)))
✓99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓57.7%
(*.f64 x x)
✓99.5%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓4.2%
#s(literal 1/6 binary64)
Compiler

Compiled 76 to 49 computations (35.5% saved)

simplify184.0ms (1.4%)

Memory
-11.7MiB live, 317.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
✓cost-diff0
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
✓cost-diff0
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)
✓cost-diff128
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff384
(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓cost-diff0
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
✓cost-diff0
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
✓cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓cost-diff0
(*.f64 x (/.f64 x #s(literal 6 binary64)))
✓cost-diff384
(/.f64 x #s(literal 6 binary64))
Rules
4 698×lower-*.f32
4 684×lower-*.f64
2 438×lower-/.f32
2 428×lower-/.f64
1 938×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023142
040142
179140
2161136
3291128
4414128
5681128
6940128
71176125
81549125
92067125
102734125
113639125
125691125
135912125
146210125
08349121
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 x (/.f64 x #s(literal 6 binary64)))
x
(/.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
x
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
x
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)
Outputs
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
x
(/.f64 x #s(literal 6 binary64))
(*.f64 x #s(literal 1/6 binary64))
#s(literal 6 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)) (*.f64 x x))
x
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
#s(literal 1 binary64)
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)
(*.f64 x (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
x
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(*.f64 x (*.f64 x #s(literal 529/129600 binary64)))
#s(literal 529/129600 binary64)
#s(literal -1/36 binary64)
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64))
(fma.f64 #s(literal -23/360 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x #s(literal -23/360 binary64))
#s(literal -23/360 binary64)
#s(literal -1/6 binary64)

localize95.0ms (0.7%)

Memory
22.4MiB live, 142.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy6.8%
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
✓accuracy4.2%
(*.f64 x x)
✓accuracy2.7%
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
✓accuracy1.6%
(*.f64 x #s(literal -23/360 binary64))
✓accuracy99.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
✓accuracy4.2%
(*.f64 x x)
✓accuracy5.3%
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
✓accuracy2.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
✓accuracy1.6%
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
✓accuracy1.6%
(*.f64 x #s(literal -23/360 binary64))
✓accuracy100.0%
(/.f64 x #s(literal 6 binary64))
✓accuracy4.2%
(*.f64 x (/.f64 x #s(literal 6 binary64)))
Samples
69.0ms256×0valid
Compiler

Compiled 297 to 50 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 28.0ms (50.3% of total)
const: 15.0ms (27% of total)
ival-div: 9.0ms (16.2% of total)
ival-add: 3.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series141.0ms (1.1%)

Memory
-9.0MiB live, 29.3MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/.f64 x #s(literal 6 binary64))>
#<alt (*.f64 x (/.f64 x #s(literal 6 binary64)))>
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))>
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))>
#<alt (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))>
#<alt (/.f64 (*.f64 x x) #s(literal 6 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))>
#<alt (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)>
#<alt (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))>
#<alt (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))>
#<alt (*.f64 x #s(literal -23/360 binary64))>
#<alt (*.f64 (*.f64 x x) #s(literal 529/129600 binary64))>
Outputs
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* -23/360 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* -23/360 (pow x 8))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (/ 6 x)>
#<alt (/ (+ 6 (* 23/10 (pow x 4))) x)>
#<alt (/ (+ 6 (* (pow x 4) (+ 23/10 (* 529/600 (pow x 4))))) x)>
#<alt (/ (+ 6 (* (pow x 4) (+ 23/10 (* (pow x 4) (+ 529/600 (* 12167/36000 (pow x 4))))))) x)>
#<alt (/ -360/23 (pow x 5))>
#<alt (* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 5)))>
#<alt (/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 5))>
#<alt (/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 5))>
#<alt (/ 360/23 (pow x 6))>
#<alt (/ (- 360/23 (* 21600/529 (/ 1 (pow x 5)))) (pow x 6))>
#<alt (/ (+ 360/23 (* -1 (/ (- 21600/529 (* 1296000/12167 (/ 1 (pow x 5)))) (pow x 5)))) (pow x 6))>
#<alt (/ (+ 360/23 (* -1 (/ (+ 21600/529 (* -1 (/ (- 1296000/12167 (* 77760000/279841 (/ 1 (pow x 5)))) (pow x 5)))) (pow x 5)))) (pow x 6))>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* x (+ 1/6 (* -23/360 (pow x 3))))>
#<alt (* -23/360 (pow x 5))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* 23/360 (pow x 6))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt (* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))>
#<alt 1/6>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (+ 1/6 (* -23/360 (pow x 3)))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 x)>
#<alt (* x (+ 1/6 (* -23/360 x)))>
#<alt (* x (+ 1/6 (* x (- (* 529/21600 x) 23/360))))>
#<alt (* x (+ 1/6 (* x (- (* x (+ 529/21600 (* -12167/1296000 x))) 23/360))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 10/23 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) 23/360))>
#<alt (* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) (+ 23/360 (* 600/529 (/ 1 (pow x 14))))))>
#<alt (* -23/360 (pow x 4))>
#<alt (* (pow x 4) (- (* 10/23 (/ 1 (pow x 4))) 23/360))>
#<alt (* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) 23/360))>
#<alt (* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) (+ 23/360 (* 600/529 (/ 1 (pow x 14))))))>
#<alt (* -1/36 x)>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* x (- (* 529/129600 (pow x 4)) 1/36))>
#<alt (* 529/129600 (pow x 12))>
#<alt (* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* 529/129600 (pow x 12))>
#<alt (* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* -1/36 x)>
#<alt (* x (- (* 529/129600 (pow x 2)) 1/36))>
#<alt (* x (- (* 529/129600 (pow x 2)) 1/36))>
#<alt (* x (- (* 529/129600 (pow x 2)) 1/36))>
#<alt (* 529/129600 (pow x 4))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* 529/129600 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt (* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))>
#<alt -1/36>
#<alt (- (* 529/129600 (pow x 2)) 1/36)>
#<alt (- (* 529/129600 (pow x 2)) 1/36)>
#<alt (- (* 529/129600 (pow x 2)) 1/36)>
#<alt (* 529/129600 (pow x 3))>
#<alt (* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))>
#<alt (* -529/129600 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))>
#<alt (* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt (* -23/360 x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (* 529/129600 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

42 calls:

TimeVariablePointExpression
118.0ms
x
@0
(/ 1 (* x (+ (* x (* x -23/360)) 1/6)))
3.0ms
x
@0
(* (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) x)
2.0ms
x
@inf
(/ (* (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) x) (+ (* x (* x -23/360)) -1/6))
1.0ms
x
@-inf
(/ (* (* x (+ (* (* x x) (* (* x x) 529/129600)) -1/36)) x) (+ (* x (* x -23/360)) -1/6))
1.0ms
x
@-inf
(/ 1 (* x (+ (* x (* x -23/360)) 1/6)))
Compiler

Compiled 412 to 335 computations (18.7% saved)

rewrite1.1s (8.7%)

Memory
15.8MiB live, 449.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 122×lower-fma.f32
8 116×lower-fma.f64
5 764×lower-*.f32
5 750×lower-*.f64
4 012×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023117
040108
115395
291795
0844392
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 424
Calls
Call 1
Inputs
(/.f64 x #s(literal 6 binary64))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(*.f64 x #s(literal -23/360 binary64))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(/.f64 x #s(literal 6 binary64))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))
(neg.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -6 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (neg.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) x)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -6 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) #s(literal -6 binary64))
(/.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1 binary64))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)))) (*.f64 (/.f64 #s(literal -1/1296 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))) (/.f64 #s(literal -1/1296 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal -1/1296 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)))) #s(literal 9 binary64)) #s(literal -1/101559956668416 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 21914624432020321/4738381338321616896000000000000 binary64) #s(literal 1/2176782336 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -148035889/101559956668416000000 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 21914624432020321/4738381338321616896000000000000 binary64) #s(literal -1/2176782336 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal 1/46656 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 21914624432020321/4738381338321616896000000000000 binary64) #s(literal -1/2176782336 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)))) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 78310985281/282110990745600000000 binary64) #s(literal 1/1679616 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 279841/21767823360000 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 78310985281/282110990745600000000 binary64) #s(literal -1/1679616 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64)))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal -1/46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64)) #s(literal -529/4665600 binary64))))))
(*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal -1/46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))))))
(*.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64) #s(literal -1/36 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64)))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal -1/46656 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1/36 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)))
(*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -529/129600 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal -1/46656 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 21914624432020321/4738381338321616896000000000000 binary64) (*.f64 (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))) (*.f64 (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))))))) (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 78310985281/282110990745600000000 binary64) (*.f64 (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))) (-.f64 (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal -1/46656 binary64)) (*.f64 (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 529/4665600 binary64))) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -529/4665600 binary64))))))) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -529/4665600 binary64))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal -1/1296 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 148035889/2176782336000000 binary64)) #s(literal 1/46656 binary64))) (+.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 279841/16796160000 binary64))) #s(literal 1/1296 binary64)) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -529/4665600 binary64))))))
(/.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -23/360 binary64) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal -23/360 binary64)) #s(literal -1 binary64))
(*.f64 x #s(literal -23/360 binary64))
(*.f64 #s(literal -23/360 binary64) x)
(*.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 x #s(literal 529/129600 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 529/129600 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (*.f64 x #s(literal 529/129600 binary64)) (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 x) (*.f64 x #s(literal 529/129600 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x #s(literal 529/129600 binary64)))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x #s(literal -23/360 binary64))))
(*.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 529/129600 binary64))))
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x #s(literal -23/360 binary64))))
(*.f64 (*.f64 x #s(literal -23/360 binary64)) (*.f64 x #s(literal -23/360 binary64)))
(*.f64 (*.f64 x x) #s(literal 529/129600 binary64))
(*.f64 #s(literal 529/129600 binary64) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal -23/360 binary64))) #s(literal -23/360 binary64))
(*.f64 (*.f64 x #s(literal 529/129600 binary64)) x)
(*.f64 (*.f64 (*.f64 x #s(literal -23/360 binary64)) #s(literal -23/360 binary64)) x)
(*.f64 (*.f64 #s(literal -23/360 binary64) (*.f64 x #s(literal -23/360 binary64))) x)

simplify694.0ms (5.5%)

Memory
-2.8MiB live, 346.5MiB allocated
Algorithm
1×egg-herbie
Rules
9 184×lower-fma.f64
9 184×lower-fma.f32
4 280×lower-*.f64
4 280×lower-*.f32
2 954×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01641142
14131139
29181109
321901052
455851052
08572995
Stop Event
1×iter limit
1×node limit
Counts
168 → 156
Calls
Call 1
Inputs
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* -23/360 x)))
(* -23/360 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* -23/360 (pow x 8))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(/ 6 x)
(/ (+ 6 (* 23/10 (pow x 4))) x)
(/ (+ 6 (* (pow x 4) (+ 23/10 (* 529/600 (pow x 4))))) x)
(/ (+ 6 (* (pow x 4) (+ 23/10 (* (pow x 4) (+ 529/600 (* 12167/36000 (pow x 4))))))) x)
(/ -360/23 (pow x 5))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 5)))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 5))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 5))
(/ 360/23 (pow x 6))
(/ (- 360/23 (* 21600/529 (/ 1 (pow x 5)))) (pow x 6))
(/ (+ 360/23 (* -1 (/ (- 21600/529 (* 1296000/12167 (/ 1 (pow x 5)))) (pow x 5)))) (pow x 6))
(/ (+ 360/23 (* -1 (/ (+ 21600/529 (* -1 (/ (- 1296000/12167 (* 77760000/279841 (/ 1 (pow x 5)))) (pow x 5)))) (pow x 5)))) (pow x 6))
(* 1/6 x)
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(* -23/360 (pow x 5))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* 23/360 (pow x 6))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
1/6
(+ 1/6 (* -23/360 (pow x 3)))
(+ 1/6 (* -23/360 (pow x 3)))
(+ 1/6 (* -23/360 (pow x 3)))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
x
x
x
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 x)
(* x (+ 1/6 (* -23/360 x)))
(* x (+ 1/6 (* x (- (* 529/21600 x) 23/360))))
(* x (+ 1/6 (* x (- (* x (+ 529/21600 (* -12167/1296000 x))) 23/360))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 10/23 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) 23/360))
(* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) (+ 23/360 (* 600/529 (/ 1 (pow x 14))))))
(* -23/360 (pow x 4))
(* (pow x 4) (- (* 10/23 (/ 1 (pow x 4))) 23/360))
(* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) 23/360))
(* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) (+ 23/360 (* 600/529 (/ 1 (pow x 14))))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(* 529/129600 (pow x 12))
(* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* 529/129600 (pow x 12))
(* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* -1/36 x)
(* x (- (* 529/129600 (pow x 2)) 1/36))
(* x (- (* 529/129600 (pow x 2)) 1/36))
(* x (- (* 529/129600 (pow x 2)) 1/36))
(* 529/129600 (pow x 4))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* 529/129600 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
-1/36
(- (* 529/129600 (pow x 2)) 1/36)
(- (* 529/129600 (pow x 2)) 1/36)
(- (* 529/129600 (pow x 2)) 1/36)
(* 529/129600 (pow x 3))
(* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(* -529/129600 (pow x 3))
(* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))
(* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
(* -23/360 x)
x
x
x
x
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(* 529/129600 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* -23/360 (pow x 8))
(*.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(* -23/360 (pow x 8))
(*.f64 #s(literal -23/360 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(* (pow x 8) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64)))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (+ 6 (* 23/10 (pow x 4))) x)
(/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 23/10 binary64)) #s(literal 6 binary64)) x)
(/ (+ 6 (* (pow x 4) (+ 23/10 (* 529/600 (pow x 4))))) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/600 binary64)) #s(literal 23/10 binary64)) #s(literal 6 binary64)) x)
(/ (+ 6 (* (pow x 4) (+ 23/10 (* (pow x 4) (+ 529/600 (* 12167/36000 (pow x 4))))))) x)
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 12167/36000 binary64)) #s(literal 529/600 binary64)) #s(literal 23/10 binary64)) #s(literal 6 binary64)) x)
(/ -360/23 (pow x 5))
(/.f64 #s(literal -360/23 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* -1 (/ (+ 360/23 (* 21600/529 (/ 1 (pow x 4)))) (pow x 5)))
(/.f64 (+.f64 #s(literal -360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (* -1 (/ (+ 21600/529 (* 1296000/12167 (/ 1 (pow x 4)))) (pow x 4))) 360/23) (pow x 5))
(/.f64 (-.f64 #s(literal -360/23 binary64) (/.f64 (+.f64 #s(literal 21600/529 binary64) (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- (* -1 (/ (+ 1296000/12167 (* 77760000/279841 (/ 1 (pow x 4)))) (pow x 8))) (+ 360/23 (* 21600/529 (/ 1 (pow x 4))))) (pow x 5))
(/.f64 (+.f64 #s(literal -360/23 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1296000/12167 binary64) (/.f64 #s(literal -77760000/279841 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal -21600/529 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(/ 360/23 (pow x 6))
(/.f64 #s(literal 360/23 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (- 360/23 (* 21600/529 (/ 1 (pow x 5)))) (pow x 6))
(/.f64 (+.f64 #s(literal 360/23 binary64) (/.f64 #s(literal -21600/529 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 360/23 (* -1 (/ (- 21600/529 (* 1296000/12167 (/ 1 (pow x 5)))) (pow x 5)))) (pow x 6))
(/.f64 (+.f64 #s(literal 360/23 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1296000/12167 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -21600/529 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(/ (+ 360/23 (* -1 (/ (+ 21600/529 (* -1 (/ (- 1296000/12167 (* 77760000/279841 (/ 1 (pow x 5)))) (pow x 5)))) (pow x 5)))) (pow x 6))
(/.f64 (-.f64 #s(literal 360/23 binary64) (/.f64 (+.f64 #s(literal 21600/529 binary64) (/.f64 (+.f64 (/.f64 #s(literal 77760000/279841 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1296000/12167 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* -23/360 (pow x 3))))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 5))
(*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 5) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(*.f64 (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 23/360 (pow x 6))
(*.f64 #s(literal 23/360 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 6) (+ 23/360 (* 1/6 (/ 1 (pow x 5)))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(+ 1/6 (* -23/360 (pow x 3)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -23/360 binary64)) #s(literal 1/6 binary64))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* (pow x 4) (- (* 1/6 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
x
x
x
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* x (+ 1/6 (* -23/360 x)))
(*.f64 x (fma.f64 x #s(literal -23/360 binary64) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* x (- (* 529/21600 x) 23/360))))
(*.f64 x (fma.f64 x (fma.f64 x #s(literal 529/21600 binary64) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* x (+ 1/6 (* x (- (* x (+ 529/21600 (* -12167/1296000 x))) 23/360))))
(*.f64 x (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -12167/1296000 binary64) #s(literal 529/21600 binary64)) #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 10/23 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 10/23 binary64))
(* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) 23/360))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 10/23 binary64))
(* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) (+ 23/360 (* 600/529 (/ 1 (pow x 14))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -600/529 binary64) (pow.f64 x #s(literal 14 binary64))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal 10/23 binary64))
(* -23/360 (pow x 4))
(*.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 10/23 (/ 1 (pow x 4))) 23/360))
(fma.f64 x (*.f64 #s(literal -23/360 binary64) (*.f64 x (*.f64 x x))) #s(literal 10/23 binary64))
(* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) 23/360))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 10/23 binary64))
(* (pow x 4) (- (+ (/ 1/6 (pow x 10)) (* 10/23 (/ 1 (pow x 4)))) (+ 23/360 (* 600/529 (/ 1 (pow x 14))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal -600/529 binary64) (pow.f64 x #s(literal 14 binary64))) (+.f64 #s(literal -23/360 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal 10/23 binary64))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 4)) 1/36))
(*.f64 x (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* 529/129600 (pow x 12))
(*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 12) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x x)))))
(* 529/129600 (pow x 12))
(*.f64 #s(literal 529/129600 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))))
(* (pow x 12) (+ 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x)))))
(* -1/36 x)
(*.f64 x #s(literal -1/36 binary64))
(* x (- (* 529/129600 (pow x 2)) 1/36))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 2)) 1/36))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* x (- (* 529/129600 (pow x 2)) 1/36))
(*.f64 x (fma.f64 x (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* 529/129600 (pow x 4))
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64)))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* (pow x 4) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(*.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64)))
(* 529/129600 (pow x 5))
(*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/36 (/ 1 (pow x 4))) 529/129600)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 529/129600 binary64) (/.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
-1/36
#s(literal -1/36 binary64)
(- (* 529/129600 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(- (* 529/129600 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(- (* 529/129600 (pow x 2)) 1/36)
(fma.f64 x (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* 529/129600 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 529/129600 binary64))
(* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* (pow x 3) (- 529/129600 (* 1/36 (/ 1 (pow x 3)))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))
(* -529/129600 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -529/129600 binary64))
(* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -529/129600 binary64)) #s(literal -1/36 binary64))
(* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -529/129600 binary64)) #s(literal -1/36 binary64))
(* -1 (* (pow x 3) (+ 529/129600 (* 1/36 (/ 1 (pow x 3))))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -529/129600 binary64)) #s(literal -1/36 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
(* -23/360 x)
(*.f64 x #s(literal -23/360 binary64))
x
x
x
x
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 529/129600 (pow x 2))
(*.f64 x (*.f64 x #s(literal 529/129600 binary64)))
(* 529/129600 (pow x 2))
(*.f64 x (*.f64 x #s(literal 529/129600 binary64)))
(* 529/129600 (pow x 2))
(*.f64 x (*.f64 x #s(literal 529/129600 binary64)))
(* 529/129600 (pow x 2))
(*.f64 x (*.f64 x #s(literal 529/129600 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval851.0ms (6.7%)

Memory
16.4MiB live, 250.4MiB allocated
Compiler

Compiled 57 358 to 3 991 computations (93% saved)

prune303.0ms (2.4%)

Memory
3.9MiB live, 245.4MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New1 64721 649
Fresh000
Picked224
Done055
Total1 64991 658
Accuracy
100.0%
Counts
1 658 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
✓99.6%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
99.6%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
✓99.5%
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
✓99.6%
(*.f64 x (/.f64 x #s(literal 6 binary64)))
✓99.7%
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
✓57.7%
(*.f64 x x)
✓99.5%
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
✓4.2%
#s(literal 1/6 binary64)
Compiler

Compiled 201 to 92 computations (54.2% saved)

regimes24.0ms (0.2%)

Memory
-22.2MiB live, 17.1MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 529/129600 binary64)) #s(literal -1/36 binary64))) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (tan.f64 x))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -1/120 binary64)) #s(literal 1/6 binary64))))) (tan.f64 x))
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Outputs
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
Calls

2 calls:

18.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 (*.f64 x #s(literal -1/36 binary64)) x) (fma.f64 x (*.f64 x #s(literal -23/360 binary64)) #s(literal -1/6 binary64)))
Outputs
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
Calls

2 calls:

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

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
Outputs
(*.f64 x (/.f64 x #s(literal 6 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes5.0ms (0%)

Memory
-28.7MiB live, 9.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
Outputs
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
Calls

2 calls:

3.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
2.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1/6 binary64)
(*.f64 x x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Outputs
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
Calls

2 calls:

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

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1/6 binary64)
(*.f64 x x)
Outputs
(*.f64 x x)
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
57.7%1x
57.7%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes3.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/6 binary64)
Outputs
#s(literal 1/6 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Results
AccuracySegmentsBranch
4.2%1x
4.2%1(/.f64 (-.f64 x (sin.f64 x)) (tan.f64 x))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify7.0ms (0.1%)

Memory
-27.1MiB live, 13.3MiB allocated
Algorithm
1×egg-herbie
Rules
14×*-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01741
12741
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 1/6 binary64)
Outputs
(*.f64 x (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64)))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -23/360 binary64) #s(literal 1/6 binary64))))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)

soundness798.0ms (6.3%)

Memory
4.3MiB live, 653.2MiB allocated
Rules
18 358×lower-fma.f64
18 358×lower-fma.f32
15 648×lower-fma.f64
15 648×lower-fma.f32
10 986×lower-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105408
1301384
2829384
32520348
45523342
08535318
01381292
13641286
28301250
320951196
437571184
567241172
087851109
078658
1186658
2355652
3616628
41558628
56527616
08627574
019110
036104
1115100
2665100
35351100
08247100
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
1×iter limit
1×node limit
Compiler

Compiled 153 to 90 computations (41.2% saved)

preprocess63.0ms (0.5%)

Memory
24.9MiB live, 103.0MiB allocated
Remove

(abs x)

Compiler

Compiled 190 to 106 computations (44.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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