ENA, Section 1.4, Mentioned, A

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%49.6%50.4%0%0%0%0
0%0%49.6%50.4%0%0%0%1
0%0%49.6%50.4%0%0%0%2
50%24.8%24.8%50.4%0%0%0%3
75%37.2%12.4%50.4%0%0%0%4
87.5%43.4%6.2%50.4%0%0%0%5
93.8%46.5%3.1%50.4%0%0%0%6
96.9%48.1%1.6%50.4%0%0%0%7
98.4%48.8%0.8%50.4%0%0%0%8
99.2%49.2%0.4%50.4%0%0%0%9
99.6%49.4%0.2%50.4%0%0%0%10
99.8%49.5%0.1%50.4%0%0%0%11
99.9%49.6%0%50.4%0%0%0%12
Compiler

Compiled 12 to 10 computations (16.7% saved)

sample2.8s (29.5%)

Memory
18.4MiB live, 2 721.5MiB allocated
Samples
1.9s5 757×2valid
357.0ms2 418×1valid
6.0ms81×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-cos: 1.1s (60% of total)
const: 343.0ms (18% of total)
adjust: 208.0ms (10.9% of total)
ival-sub: 138.0ms (7.3% of total)
ival-<=: 51.0ms (2.7% of total)
ival-and: 12.0ms (0.6% of total)
exact: 5.0ms (0.3% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain126.0ms (1.3%)

Memory
23.4MiB live, 218.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1510-0-(-.f64 #s(literal 1 binary64) (cos.f64 x))
00-0-#s(literal 1 binary64)
00-0-(cos.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 #s(literal 1 binary64) (cos.f64 x))cancellation1510
Confusion
Predicted +Predicted -
+1510
-0105
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+15100
-00105
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0105
1151
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
78.0ms332×2valid
16.0ms170×1valid
0.0ms10×0valid
Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-cos: 54.0ms (71% of total)
ival-sub: 11.0ms (14.5% of total)
adjust: 9.0ms (11.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess14.0ms (0.1%)

Memory
-8.6MiB live, 29.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1168
2358
3558
4878
51028
61098
044
064
1104
2144
3194
4254
5334
6434
7544
8574
0574
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Symmetry

(abs x)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶47.2%
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1108
2148
3198
4258
5338
6438
7548
8578
0578
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
Outputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x

localize55.0ms (0.6%)

Memory
-6.3MiB live, 111.4MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy33.78263770224545
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Samples
41.0ms166×2valid
9.0ms85×1valid
0.0ms5×0valid
Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-cos: 31.0ms (78.4% of total)
adjust: 5.0ms (12.6% of total)
ival-sub: 3.0ms (7.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
2 → 10
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- 1 (cos x))
(cos x)
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
((- 1 (cos x)) (cos x))
0.0ms
x
@inf
((- 1 (cos x)) (cos x))
0.0ms
x
@-inf
((- 1 (cos x)) (cos x))

simplify543.0ms (5.6%)

Memory
6.4MiB live, 245.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041102
1101102
2246102
3588102
41237102
51916102
62425102
73090102
84387102
95950102
106860102
117138102
127177102
137177102
147601102
157877102
167918102
177920102
187920102
197920102
207920102
217930102
227930102
237930102
0883590
Stop Event
1×iter limit
1×node limit
Counts
10 → 10
Calls
Call 1
Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(- 1 (cos x))
(cos x)
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)

rewrite191.0ms (2%)

Memory
-16.0MiB live, 190.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046
066
1236
21446
311816
089686
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 137
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 2 binary64))))
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(fma.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (/.f64 (sin.f64 x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64)))) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 4 binary64))) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (pow.f64 (sin.f64 x) #s(literal -2 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 (cos.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)))))
(+.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 x)))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (cos.f64 x)))

eval14.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Compiler

Compiled 3 373 to 445 computations (86.8% saved)

prune27.0ms (0.3%)

Memory
-24.3MiB live, 13.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1389147
Fresh000
Picked101
Done000
Total1399148
Accuracy
100.0%
Counts
148 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
▶47.2%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
▶46.8%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
▶45.4%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
100.0%
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
100.0%
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
▶100.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
99.8%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
99.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Compiler

Compiled 218 to 162 computations (25.7% saved)

simplify230.0ms (2.4%)

Memory
35.6MiB live, 72.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff0
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff128
(-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
cost-diff6848
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
#s(approx (cos x) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
cost-diff0
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032204
056204
198204
2170202
3345201
4636199
5987199
61455199
71539199
81556199
91584199
101653199
111859199
122163199
132573199
143473199
154181199
164387199
174420199
184424199
194424199
204588199
214656199
224656199
234656199
244656199
254664199
04664199
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(neg.f64 (cos.f64 x))
(cos.f64 x)
#s(literal 1 binary64)
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(literal 1 binary64)
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(literal 1 binary64)
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
#s(literal 1/24 binary64)
(*.f64 x x)
x
#s(literal -1/2 binary64)
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
x
#s(literal 2 binary64)
(-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (cos.f64 x))
(neg.f64 (cos.f64 x))
(cos.f64 x)
#s(literal 1 binary64)

localize364.0ms (3.8%)

Memory
-0.8MiB live, 313.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy0.015625
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy0.01953125
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
accuracy0.01953125
(-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
accuracy0.0
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
accuracy33.78263770224545
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.0
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.217826354486551
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy33.78263770224545
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy0.7416531001633926
#s(approx (cos x) #s(literal 1 binary64))
accuracy33.78263770224545
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
accuracy0.0
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
accuracy0.0078125
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy0.01171875
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
accuracy0.0234375
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
Samples
266.0ms164×2valid
37.0ms86×1valid
1.0ms6×0valid
Compiler

Compiled 363 to 64 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 270.0ms
adjust: 84.0ms (31.1% of total)
ival-cos: 65.0ms (24% of total)
const: 39.0ms (14.4% of total)
ival-mult: 30.0ms (11.1% of total)
ival-neg: 23.0ms (8.5% of total)
ival-add: 8.0ms (3% of total)
ival-sub: 7.0ms (2.6% of total)
ival-div: 5.0ms (1.8% of total)
ival-pow2: 5.0ms (1.8% of total)
ival-sin: 4.0ms (1.5% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.3%)

Memory
-20.0MiB live, 16.6MiB allocated
Counts
20 → 56
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(cos.f64 x)
Outputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(/ (pow (sin x) 2) (+ 1 (cos x)))
(* -1 (+ 1 (cos x)))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
Calls

3 calls:

TimeVariablePointExpression
21.0ms
x
@inf
((- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (cos x) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (- 1 (cos x)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (- (neg (cos x)) 1) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (* 1/720 (* x x)) -1/24) (cos x))
2.0ms
x
@-inf
((- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (cos x) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (- 1 (cos x)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (- (neg (cos x)) 1) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (* 1/720 (* x x)) -1/24) (cos x))
2.0ms
x
@0
((- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (cos x) (- 1 (cos x)) (cos x) (+ (* -1/2 (* x x)) 1) (* x x) (- 1 (cos x)) (cos x) (+ (* (+ (* 1/24 (* x x)) -1/2) (* x x)) 1) (+ (* 1/24 (* x x)) -1/2) (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (- (neg (cos x)) 1) (neg (pow (sin x) 2)) (pow (sin x) 2) (+ (* 1/720 (* x x)) -1/24) (cos x))

simplify175.0ms (1.8%)

Memory
17.3MiB live, 244.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131534
1338534
2914519
32560515
45631515
08425474
Stop Event
1×iter limit
1×node limit
Counts
56 → 56
Calls
Call 1
Inputs
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(pow x 2)
-1/2
(- (* 1/24 (pow x 2)) 1/2)
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(cos x)
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* 1/24 (pow x 4))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(* 1/24 (pow x 2))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(/ (pow (sin x) 2) (+ 1 (cos x)))
(* -1 (+ 1 (cos x)))
(* -1 (pow (sin x) 2))
(pow (sin x) 2)
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
Outputs
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/24 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* 1/2 (pow x 2)) 2)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)
(fma.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal -2 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 1/3 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -2/45 (pow x 2)))) 1))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2/45 binary64) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) x))
(* (pow x 2) (- (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* 1/315 (pow x 2)) 2/45)))) 1))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal 1/315 binary64) (*.f64 x x) #s(literal -2/45 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) (*.f64 (neg.f64 x) x))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
(* (pow x 2) (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) x) x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/720 binary64)) (pow.f64 x #s(literal 4 binary64))))
(cos x)
(cos.f64 x)
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(* 1/24 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/24 binary64))
(* (pow x 4) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (+ 1/24 (/ 1 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(* 1/24 (pow x 2))
(*.f64 #s(literal 1/24 binary64) (*.f64 x x))
(* (pow x 2) (- 1/24 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(/ (pow (sin x) 2) (+ 1 (cos x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(* -1 (+ 1 (cos x)))
(-.f64 #s(literal -1 binary64) (cos.f64 x))
(* -1 (pow (sin x) 2))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(* 1/720 (pow x 2))
(*.f64 #s(literal 1/720 binary64) (*.f64 x x))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))

rewrite337.0ms (3.5%)

Memory
-32.5MiB live, 431.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032178
056178
1226178
21558170
08628170
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 677
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (cos x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64))
(neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(cos.f64 x)
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) (*.f64 x x))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x)) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x)))
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(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (fma.f64 (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) #s(literal 1/331776 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 6 binary64)) #s(literal 1/191102976 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 4 binary64)) (+.f64 #s(literal 1/331776 binary64) (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/576 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 6 binary64)) #s(literal 1/191102976 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/51998697814228992000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/2641807540224 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/139314069504000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/191102976 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5159780352000 binary64)))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) #s(literal 1/576 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) (neg.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))) (-.f64 #s(literal 1/576 binary64) (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/576 binary64) (-.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))) (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) x) x #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))) (/.f64 #s(literal 1/576 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal -1/24 binary64))
(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

eval162.0ms (1.7%)

Memory
10.8MiB live, 199.9MiB allocated
Compiler

Compiled 21 586 to 2 914 computations (86.5% saved)

prune45.0ms (0.5%)

Memory
10.6MiB live, 49.8MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New7495754
Fresh404
Picked145
Done000
Total7549763
Accuracy
100.0%
Counts
763 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓47.2%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓46.8%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓45.4%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶100.0%
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
▶100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
▶100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
✓100.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶99.8%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
▶99.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
Compiler

Compiled 269 to 190 computations (29.4% saved)

simplify55.0ms (0.6%)

Memory
7.3MiB live, 42.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
cost-diff0
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
cost-diff0
(fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
cost-diff0
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
cost-diff0
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
cost-diff0
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
cost-diff0
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
cost-diff0
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
cost-diff320
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
043347
065328
1117328
2194327
3400326
4731324
51025324
61417324
71504324
81589324
91638324
101647324
111793324
121979324
131985324
01985324
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)
Outputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
(*.f64 x x)
x
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(*.f64 x x)
x
#s(literal 1/720 binary64)
#s(literal -1/24 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(*.f64 (sin.f64 x) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sin.f64 x)

localize269.0ms (2.8%)

Memory
-0.5MiB live, 251.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.0
(sin.f64 x)
accuracy0.0
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
accuracy0.015625
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
accuracy0.0234375
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
accuracy0.0234375
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
accuracy0.0
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
accuracy0.0078125
(*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
accuracy0.01171875
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
accuracy0.5885233258411642
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64))
accuracy0.0
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
accuracy0.0078125
(*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x)
accuracy0.01171875
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
accuracy0.6546684195881659
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
accuracy0.01171875
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
accuracy0.0234375
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
accuracy0.1015625
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
accuracy0.296875
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
Samples
189.0ms164×2valid
44.0ms86×1valid
2.0ms6×0valid
Compiler

Compiled 616 to 81 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-cos: 34.0ms (18.1% of total)
ival-mult: 34.0ms (18.1% of total)
ival-div: 32.0ms (17% of total)
const: 25.0ms (13.3% of total)
adjust: 23.0ms (12.2% of total)
ival-sub: 15.0ms (8% of total)
ival-add: 11.0ms (5.8% of total)
ival-pow2: 5.0ms (2.7% of total)
ival-sin: 4.0ms (2.1% of total)
ival-neg: 4.0ms (2.1% of total)
ival-tan: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-8.4MiB live, 27.7MiB allocated
Counts
24 → 45
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64))
(*.f64 x x)
(sin.f64 x)
Outputs
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(pow x 2)
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))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ (pow (sin x) 2) (+ 1 (cos x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/720 (pow x 3))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(sin x)
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@inf
((+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) (- 1 (cos x)) (* (+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* 1/720 (* x x)) -1/24) (* x x) (sin x))
3.0ms
x
@-inf
((+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) (- 1 (cos x)) (* (+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* 1/720 (* x x)) -1/24) (* x x) (sin x))
3.0ms
x
@0
((+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) (- 1 (cos x)) (* (+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (* (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) x) (* (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) x) (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) (- 1 (cos x)) (* (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (* x x)) (+ (* (+ (* (* x x) 1/720) -1/24) (* x x)) 1/2) (+ (* (* x x) 1/720) -1/24) (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (* (tan (* 1/2 x)) (sin x)) (tan (* 1/2 x)) (* 1/2 x) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* 1/720 (* x x)) -1/24) (* x x) (sin x))

simplify167.0ms (1.7%)

Memory
14.6MiB live, 206.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112432
1299426
2783424
32310424
45141424
57411424
08104392
Stop Event
1×iter limit
1×node limit
Counts
45 → 44
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
1/2
(+ 1/2 (* -1/24 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(pow x 2)
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))))
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(/ (pow (sin x) 2) (+ 1 (cos x)))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/720 (pow x 3))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(sin x)
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* -1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/24 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
(* (pow x 4) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/720 binary64)) (*.f64 (*.f64 x x) #s(literal -1/24 binary64)))
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(/ (pow (sin x) 2) (+ 1 (cos x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(/ (* (sin x) (sin (* 1/2 x))) (cos (* 1/2 x)))
(*.f64 (/.f64 (sin.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(sin x)
(sin.f64 x)
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/24 binary64) (*.f64 x x)) #s(literal 1/720 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)

rewrite207.0ms (2.2%)

Memory
5.1MiB live, 419.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
043317
065298
1234298
21223291
08573291
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 513
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x)
(*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x)
#s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64))
(*.f64 x x)
(sin.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) x) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64)) x) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (pow.f64 (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x))
(*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64))))) (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64)))))) (+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x #s(literal -1/2 binary64))))))
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(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))) (neg.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))) (neg.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) x) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64))) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)))
(/.f64 (*.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64))) (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))) (*.f64 (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/576 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/576 binary64) (*.f64 (*.f64 x x) #s(literal -1/17280 binary64)))) (*.f64 x (fma.f64 #s(literal 1/373248000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/13824 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
(fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x (*.f64 #s(literal -1/24 binary64) x))
(fma.f64 #s(literal -1/24 binary64) x (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x))
(fma.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/24 binary64)))
(fma.f64 x #s(literal -1/24 binary64) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
(+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x) (*.f64 #s(literal -1/24 binary64) x))
(+.f64 (*.f64 #s(literal -1/24 binary64) x) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) x))
(+.f64 (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))) (*.f64 x #s(literal -1/24 binary64)))
(+.f64 (*.f64 x #s(literal -1/24 binary64)) (*.f64 x (*.f64 #s(literal 1/720 binary64) (*.f64 x x))))
#s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))

eval146.0ms (1.5%)

Memory
-19.2MiB live, 137.5MiB allocated
Compiler

Compiled 21 703 to 2 517 computations (88.4% saved)

prune31.0ms (0.3%)

Memory
-4.5MiB live, 33.1MiB allocated
Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New5482550
Fresh000
Picked235
Done044
Total5509559
Accuracy
100.0%
Counts
559 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓47.2%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓46.8%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓45.4%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
▶100.0%
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
▶99.8%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
✓100.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓99.8%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓99.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
Compiler

Compiled 169 to 114 computations (32.5% saved)

simplify14.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
cost-diff0
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
cost-diff640
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x)
cost-diff0
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
cost-diff0
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
cost-diff320
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024181
038166
172166
2126166
3226166
4459166
5542166
6568166
7580166
8583166
0583161
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x)
(*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x)
#s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
x
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)
Outputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x)
(*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x)
#s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))
#s(literal -1/24 binary64)
x
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x))
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x #s(literal 1/2 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
#s(literal 1/720 binary64)
(*.f64 x x)
x
#s(literal -1/24 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize197.0ms (2%)

Memory
-13.1MiB live, 143.1MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
accuracy0.0234375
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
accuracy0.1015625
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
accuracy0.296875
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x)
accuracy0.01171875
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
accuracy0.1015625
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x)
accuracy0.296875
(*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x)
accuracy0.5885233258411642
#s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))
Samples
129.0ms166×2valid
42.0ms85×1valid
1.0ms5×0valid
Compiler

Compiled 320 to 51 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-cos: 42.0ms (28.3% of total)
ival-mult: 41.0ms (27.6% of total)
const: 37.0ms (24.9% of total)
adjust: 15.0ms (10.1% of total)
ival-add: 8.0ms (5.4% of total)
ival-sub: 4.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
12 → 29
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x)
#s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))
(*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
Outputs
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) (- 1 (cos x)) (* (+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (+ (* (* (* (+ (* 1/720 (* x x)) -1/24) x) x) (* x x)) (* 1/2 (* x x))) (- 1 (cos x)) (* (* (+ (* 1/720 (* x x)) -1/24) x) x) (* (+ (* 1/720 (* x x)) -1/24) x) (+ (* (* x x) 1/720) -1/24) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* 1/720 (* x x)) -1/24) (* 1/2 (* x x)))
2.0ms
x
@-inf
((+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) (- 1 (cos x)) (* (+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (+ (* (* (* (+ (* 1/720 (* x x)) -1/24) x) x) (* x x)) (* 1/2 (* x x))) (- 1 (cos x)) (* (* (+ (* 1/720 (* x x)) -1/24) x) x) (* (+ (* 1/720 (* x x)) -1/24) x) (+ (* (* x x) 1/720) -1/24) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* 1/720 (* x x)) -1/24) (* 1/2 (* x x)))
1.0ms
x
@0
((+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) (- 1 (cos x)) (* (+ (* (* (* (+ (* (* x x) 1/720) -1/24) x) x) x) (* 1/2 x)) x) (* (* (+ (* (* x x) 1/720) -1/24) x) x) (+ (* (* (* (+ (* 1/720 (* x x)) -1/24) x) x) (* x x)) (* 1/2 (* x x))) (- 1 (cos x)) (* (* (+ (* 1/720 (* x x)) -1/24) x) x) (* (+ (* 1/720 (* x x)) -1/24) x) (+ (* (* x x) 1/720) -1/24) (* (+ (* (* x x) 1/720) -1/24) x) (+ (* 1/720 (* x x)) -1/24) (* 1/2 (* x x)))

simplify236.0ms (2.5%)

Memory
26.1MiB live, 102.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066268
1168268
2449268
31191268
43320268
56316268
08093252
Stop Event
1×iter limit
1×node limit
Counts
29 → 29
Calls
Call 1
Inputs
(* 1/2 x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(* -1/24 (pow x 2))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(* -1/24 x)
(* x (- (* 1/720 (pow x 2)) 1/24))
-1/24
(- (* 1/720 (pow x 2)) 1/24)
(* 1/720 (pow x 5))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(- 1 (cos x))
(* 1/720 (pow x 6))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 4))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 3))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* 1/720 (pow x 2))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
Outputs
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64)) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/24 binary64)))
(* 1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/24 binary64) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) x) x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64) #s(literal 1/2 binary64))) (*.f64 x x))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* -1/24 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/24 binary64))
(* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x))
(* -1/24 x)
(*.f64 #s(literal -1/24 binary64) x)
(* x (- (* 1/720 (pow x 2)) 1/24))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
-1/24
#s(literal -1/24 binary64)
(- (* 1/720 (pow x 2)) 1/24)
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(* 1/720 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/720 binary64))
(* (pow x 5) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(* 1/720 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/720 binary64))
(* (pow x 6) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))))
(* (pow x 6) (- (+ 1/720 (/ 1/2 (pow x 4))) (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))
(* 1/720 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/720 binary64))
(* (pow x 4) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x))
(* 1/720 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/720 binary64))
(* (pow x 3) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)
(* 1/720 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/720 binary64))
(* (pow x 2) (- 1/720 (* 1/24 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(*.f64 (-.f64 #s(literal 1/720 binary64) (/.f64 #s(literal 1/24 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/24 (/ 1 (pow x 2))) (+ 1/720 (/ 1/2 (pow x 4))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 #s(literal -1/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/24 (/ 1 (pow x 2))) 1/720)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x)

rewrite278.0ms (2.9%)

Memory
-1.6MiB live, 270.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024168
038153
1138153
2835153
08342148
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 518
Calls
Call 1
Inputs
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
(*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x)
#s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))
(*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x)
(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x)))))
(*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x)
(*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (*.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x) (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 1/2 binary64)) x) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (*.f64 x x) #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) #s(literal -1 binary64)))
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(fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64))
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(fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))
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(fma.f64 x (*.f64 #s(literal 1/720 binary64) x) #s(literal -1/24 binary64))
(-.f64 (/.f64 #s(literal 1/576 binary64) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/518400 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 #s(literal -1/24 binary64) (*.f64 #s(literal -1/720 binary64) (*.f64 x x)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/518400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/24 binary64)))) (/.f64 #s(literal -1/576 binary64) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64))))
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(+.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) x) x) #s(literal -1/24 binary64))
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 1/2 binary64) x))

eval71.0ms (0.7%)

Memory
11.5MiB live, 172.0MiB allocated
Compiler

Compiled 24 323 to 2 333 computations (90.4% saved)

prune17.0ms (0.2%)

Memory
-35.3MiB live, 44.7MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New5391540
Fresh000
Picked112
Done077
Total5409549
Accuracy
100.0%
Counts
549 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓47.2%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
✓46.8%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
✓45.4%
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
99.8%
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
✓100.0%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
✓99.8%
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
✓100.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓99.8%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
✓99.0%
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
Compiler

Compiled 469 to 217 computations (53.7% saved)

regimes13.0ms (0.1%)

Memory
30.9MiB live, 30.9MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x)))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(approx (/ (neg (pow (sin x) 2)) (- (neg (cos x)) 1)) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (sin.f64 x) (tan.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (neg.f64 (cos.f64 x)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
Calls

3 calls:

5.0ms
x
4.0ms
(cos.f64 x)
4.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
100.0%1(cos.f64 x)
Compiler

Compiled 7 to 7 computations (0% saved)

regimes9.0ms (0.1%)

Memory
-18.8MiB live, 19.6MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 1 (cos x)) (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
Calls

3 calls:

4.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
3.0ms
x
2.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.8%1(cos.f64 x)
Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(approx (+ (* 1/720 (* x x)) -1/24) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
Calls

3 calls:

3.0ms
x
2.0ms
(cos.f64 x)
2.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.8%1(cos.f64 x)
Compiler

Compiled 7 to 7 computations (0% saved)

regimes6.0ms (0.1%)

Memory
-25.1MiB live, 13.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
Calls

3 calls:

3.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.0%1(cos.f64 x)
Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
99.0%1(cos.f64 x)
Compiler

Compiled 7 to 7 computations (0% saved)

regimes3.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 #s(literal 1 binary64) (cos.f64 x))
1.0ms
(cos.f64 x)
Results
AccuracySegmentsBranch
45.4%1x
45.4%1(-.f64 #s(literal 1 binary64) (cos.f64 x))
45.4%1(cos.f64 x)
Compiler

Compiled 7 to 7 computations (0% saved)

simplify76.0ms (0.8%)

Memory
-1.7MiB live, 40.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039100
156100
275100
3129100
4173100
5188100
6242100
7411100
84089100
96194100
107481100
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))
Outputs
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(approx (+ (* (* x x) 1/720) -1/24) #s(literal -1/24 binary64)) x) x) x (*.f64 #s(literal 1/2 binary64) x)) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 #s(approx (+ (* (+ (* 1/720 (* x x)) -1/24) (* x x)) 1/2) #s(literal 1/2 binary64)) x) x))
#s(approx (- 1 (cos x)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) #s(approx (cos x) #s(literal 1 binary64)))

soundness2.6s (27%)

Memory
-0.3MiB live, 582.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112432
1299426
2783424
32310424
45141424
57411424
08104392
0131534
1338534
2914519
32560515
45631515
08425474
032178
056178
1226178
21558170
08628170
041102
1101102
2246102
3588102
41237102
51916102
62425102
73090102
84387102
95950102
106860102
117138102
127177102
137177102
147601102
157877102
167918102
177920102
187920102
197920102
207920102
217930102
227930102
237930102
0883590
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 210 to 117 computations (44.3% saved)

preprocess49.0ms (0.5%)

Memory
-5.3MiB live, 43.0MiB allocated
Remove

(abs x)

Compiler

Compiled 268 to 134 computations (50% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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