bug500 (missed optimization)

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
100%50.4%0%49.6%0%0%0%1
Compiler

Compiled 12 to 9 computations (25% saved)

sample1.2s (23.3%)

Memory
-110.5MiB live, 731.3MiB allocated
Samples
870.0ms7 232×1valid
84.0ms513×2valid
23.0ms511×0valid
Precisions
Click to see histograms. Total time spent on operations: 772.0ms
ival-sin: 506.0ms (65.5% of total)
adjust: 106.0ms (13.7% of total)
ival-sub: 91.0ms (11.8% of total)
ival-<: 42.0ms (5.4% of total)
ival-and: 12.0ms (1.6% of total)
exact: 12.0ms (1.6% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain61.0ms (1.2%)

Memory
-18.3MiB live, 59.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
84171(8.264617553324738e-127)0-(-.f64 (sin.f64 x) x)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sin.f64 x) x)cancellation2550
Confusion
Predicted +Predicted -
+840
-1711
Precision
0.32941176470588235
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8400
-17101
Precision?
0.32941176470588235
Recall?
1.0
Freqs
test
numberfreq
01
1255
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
7.98291015625
Average Time
0.031183242797851563
Samples
17.0ms235×1valid
2.0ms13×2valid
0.0ms0valid
Compiler

Compiled 27 to 14 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 6.0ms (51.2% of total)
adjust: 3.0ms (25.6% of total)
ival-sub: 3.0ms (25.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess17.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
11511
2468
31038
41358
51378
034
054
174
2124
3184
4264
5414
6744
71004
81434
91604
101724
01724
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
Outputs
(-.f64 (sin.f64 x) x)
Symmetry

(negabs x)

Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(-.f64 (sin.f64 x) x)
Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
037
057
177
2127
3187
4267
5417
6747
71007
81437
91607
101727
01727
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
x
Outputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
x

localize30.0ms (0.6%)

Memory
-18.0MiB live, 20.3MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy18.959144952507557
(-.f64 (sin.f64 x) x)
Samples
23.0ms235×1valid
2.0ms13×2valid
0.0ms0valid
Compiler

Compiled 16 to 8 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 12.0ms (66.2% of total)
adjust: 3.0ms (16.6% of total)
ival-sub: 3.0ms (16.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Counts
2 → 12
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
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 x)
(* x (- (/ (sin x) x) 1))
(sin x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@0
((- (sin x) x) (sin x))
0.0ms
x
@inf
((- (sin x) x) (sin x))
0.0ms
x
@-inf
((- (sin x) x) (sin x))

simplify113.0ms (2.1%)

Memory
1.6MiB live, 83.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047122
1121116
2313116
3939112
42033108
53881108
0801996
Stop Event
iter limit
node limit
Counts
12 → 11
Calls
Call 1
Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
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 x)
(* x (- (/ (sin x) x) 1))
(sin x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(sin x)
(sin.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)

rewrite133.0ms (2.5%)

Memory
-12.9MiB live, 105.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
056
1206
21486
314946
083226
Stop Event
iter limit
node limit
iter limit
Counts
2 → 174
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (+.f64 (sin.f64 x) x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (sin.f64 x) x) x) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (-.f64 (*.f64 (+.f64 (sin.f64 x) x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (sin.f64 x) x)))
(*.f64 (+.f64 (sin.f64 x) x) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (sin.f64 x) x) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) (+.f64 (sin.f64 x) #s(literal 0 binary64)) (fma.f64 x x (*.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 x (sin.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 x (sin.f64 x)) (-.f64 x (sin.f64 x)) (*.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))))))
(/.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 x) (sin.f64 x))))
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(fma.f64 x #s(literal -1 binary64) (sin.f64 x))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))) (/.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (fma.f64 (sin.f64 x) (/.f64 (sin.f64 x) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 (neg.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (neg.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (sin.f64 x) x) (*.f64 x x)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (sin.f64 x) x) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (sin.f64 x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sin.f64 x) x))) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (+.f64 (sin.f64 x) x))))
(-.f64 (+.f64 (sin.f64 x) #s(literal 0 binary64)) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 x) x)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (sin.f64 x) x)) (/.f64 (-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 x) x)) (+.f64 (sin.f64 x) x)))
(-.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(-.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.f64 (sin.f64 x) x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(+.f64 (neg.f64 x) (sin.f64 x))
(+.f64 (sin.f64 x) (neg.f64 x))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))

eval42.0ms (0.8%)

Memory
35.3MiB live, 35.3MiB allocated
Compiler

Compiled 6 064 to 591 computations (90.3% saved)

prune7.0ms (0.1%)

Memory
-26.7MiB live, 12.0MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1786184
Fresh000
Picked011
Done000
Total1787185
Accuracy
99.8%
Counts
185 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
7.4%
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))
56.7%
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
70.4%
(-.f64 (sin.f64 x) x)
99.4%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
99.3%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
98.8%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
6.4%
#s(approx (- (sin x) x) (neg.f64 x))
Compiler

Compiled 174 to 115 computations (33.9% saved)

simplify141.0ms (2.7%)

Memory
16.9MiB live, 92.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
cost-diff14080
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (sin x) x) (neg.f64 x))
cost-diff0
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
cost-diff0
(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))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
026170
044170
171170
2131170
3281170
4609170
5936163
61430161
72281161
83903161
96424161
08915161
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(neg.f64 x)
x
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(+.f64 (sin.f64 x) x)
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 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))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(literal -1/5040 binary64)
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(-.f64 (sin.f64 x) x)
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(neg.f64 x)
x
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(sin.f64 x)
#s(literal 2 binary64)
(+.f64 (sin.f64 x) x)

localize160.0ms (3%)

Memory
-9.1MiB live, 121.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(+.f64 (sin.f64 x) x)
accuracy0.01953125
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
accuracy5.531512448282423
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
accuracy26.150802607750403
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
accuracy0
(*.f64 x x)
accuracy0.0078125
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy0.12890625
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.3396988944565987
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0.125
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy0.6686173430478419
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
accuracy0
(neg.f64 x)
accuracy59.92104898552032
#s(approx (- (sin x) x) (neg.f64 x))
accuracy0
(*.f64 x x)
accuracy0.0078125
(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))
accuracy0.1171875
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.24268960598465722
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
Samples
119.0ms235×1valid
14.0ms10×2valid
2.0ms11×0valid
Compiler

Compiled 315 to 53 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
const: 32.0ms (31.8% of total)
ival-mult: 22.0ms (21.9% of total)
adjust: 13.0ms (12.9% of total)
ival-add: 11.0ms (10.9% of total)
ival-sin: 6.0ms (6% of total)
ival-pow2: 5.0ms (5% of total)
ival-div: 3.0ms (3% of total)
ival-sub: 3.0ms (3% of total)
ival-pow: 3.0ms (3% of total)
ival-neg: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-14.8MiB live, 20.6MiB allocated
Counts
17 → 46
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+.f64 (sin.f64 x) x)
Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1 x)
(pow x 3)
(pow x 2)
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(* (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))))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (- (/ (sin x) x) 1))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(pow (sin x) 2)
x
(* x (+ 1 (/ (sin x) x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (+ (sin x) x))
4.0ms
x
@inf
((- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (+ (sin x) x))
2.0ms
x
@0
((- (sin x) x) (* (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (pow x 3)) (+ (* (+ (* -1/5040 (* x x)) 1/120) (* x x)) -1/6) (+ (* -1/5040 (* x x)) 1/120) (- (sin x) x) (neg x) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (+ (* (* x x) 1/120) -1/6) (* x x) (/ (+ (* (neg x) x) (pow (sin x) 2)) (+ (sin x) x)) (+ (* (neg x) x) (pow (sin x) 2)) (pow (sin x) 2) (+ (sin x) x))

simplify157.0ms (3%)

Memory
10.0MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0122448
1317448
2842442
32721420
46712420
08046388
Stop Event
iter limit
node limit
Counts
46 → 45
Calls
Call 1
Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(* -1 x)
(pow x 3)
(pow x 2)
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(* (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))))
(* 2 x)
(* x (+ 2 (* -1/6 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* x (- (/ (sin x) x) 1))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(pow (sin x) 2)
x
(* x (+ 1 (/ (sin x) x)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* -1 x)
(neg.f64 x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* -1/3 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64))
(* (pow x 4) (- (* 2/45 (pow x 2)) 1/3))
(*.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* -1/315 (pow x 2)))) 1/3))
(*.f64 (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)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 2/14175 (pow x 2)) 1/315)))) 1/3))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2/14175 binary64) (*.f64 x x) #s(literal -1/315 binary64)) (*.f64 x x) #s(literal 2/45 binary64)) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 2) (+ 1 (* -1/3 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (* (pow x 2) (- (* 2/45 (pow x 2)) 1/3))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 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 (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)) (pow.f64 x #s(literal 3 binary64)) x) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -1/6 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 2 binary64))) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (*.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -1/5040 (pow x 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ (pow (sin x) 2) (pow x 2)) 1))
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow (sin x) 2)
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
x
(* x (+ 1 (/ (sin x) x)))
(+.f64 (sin.f64 x) x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- (* -1 (/ (sin x) x)) 1)))
(+.f64 (sin.f64 x) x)

rewrite178.0ms (3.4%)

Memory
20.0MiB live, 178.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026142
044142
1156133
21044133
08604133
Stop Event
iter limit
node limit
iter limit
Counts
17 → 699
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(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))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(*.f64 x x)
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
(fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(pow.f64 (sin.f64 x) #s(literal 2 binary64))
(+.f64 (sin.f64 x) x)
Outputs
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (pow.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64))) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) x))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) x) (*.f64 x #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64)))
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(/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (sin.f64 x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 x (sin.f64 x)))
(/.f64 (+.f64 (sin.f64 x) x) (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (sin.f64 x) x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (+.f64 (sin.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 (/.f64 (sin.f64 x) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (sin.f64 x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))))
(fma.f64 (/.f64 (sin.f64 x) #s(literal 1 binary64)) (/.f64 (sin.f64 x) (-.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))))
(fma.f64 (/.f64 (sin.f64 x) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) (/.f64 (sin.f64 x) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 x (+.f64 (sin.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))))
(fma.f64 (/.f64 (sin.f64 x) (-.f64 (*.f64 x x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))))
(fma.f64 (/.f64 (sin.f64 x) (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) x)
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x (sin.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 x) x) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 (sin.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x (sin.f64 x))) (neg.f64 (+.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 x (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (sin.f64 x) x)))
(-.f64 (sin.f64 x) (neg.f64 x))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (sin.f64 x) x))))
(+.f64 (sin.f64 x) (*.f64 #s(literal 1 binary64) x))
(+.f64 (sin.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (sin.f64 x) (neg.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))

eval87.0ms (1.7%)

Memory
-7.5MiB live, 113.9MiB allocated
Compiler

Compiled 24 937 to 2 834 computations (88.6% saved)

prune26.0ms (0.5%)

Memory
13.6MiB live, 52.1MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New80215817
Fresh101
Picked235
Done011
Total80519824
Accuracy
100.0%
Counts
824 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.6%
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
3.1%
(fma.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x))))
9.5%
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
70.4%
(-.f64 (sin.f64 x) x)
99.3%
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
99.3%
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
99.3%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
99.2%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
98.6%
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
98.7%
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
98.8%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
99.1%
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
99.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
99.3%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
6.4%
#s(approx (- (sin x) x) (neg.f64 x))
34.9%
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
Compiler

Compiled 608 to 417 computations (31.4% saved)

simplify98.0ms (1.9%)

Memory
-18.1MiB live, 70.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
cost-diff64
(fma.f64 x x #s(literal 0 binary64))
cost-diff7808
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
cost-diff0
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
cost-diff0
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
cost-diff0
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
cost-diff0
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
cost-diff-5824
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
cost-diff0
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041277
065260
1121259
2281252
31180252
45096252
08072252
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 0 binary64))
#s(literal 0 binary64)
(sin.f64 x)
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.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))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.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)))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 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))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
#s(literal -1/6 binary64)
(*.f64 x x)
x
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
#s(literal 1/120 binary64)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
#s(literal 1/6 binary64)
(*.f64 x x)
x
(pow.f64 x #s(literal 5 binary64))
#s(literal 5 binary64)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 x)
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(fma.f64 x x #s(literal 0 binary64))
(*.f64 x x)
#s(literal 0 binary64)
(sin.f64 x)

localize203.0ms (3.9%)

Memory
-6.2MiB live, 185.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0
(neg.f64 x)
accuracy0.15625
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
accuracy61.09101272865324
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
accuracy0.00390625
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
accuracy0.18359375
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
accuracy0.3396988944565987
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
accuracy40.758963104873246
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
accuracy0.0078125
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.08203125
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
accuracy0.1640625
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
accuracy0.3396988944565987
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
accuracy0
(*.f64 x x)
accuracy0.0703125
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
accuracy0.15625
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
accuracy0.6686173430478419
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
accuracy0.0078125
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.078125
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
accuracy0.15625
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
accuracy0.24268960598465722
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
Samples
153.0ms235×1valid
12.0ms13×2valid
2.0ms0valid
Compiler

Compiled 495 to 84 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-mult: 40.0ms (29.6% of total)
const: 24.0ms (17.8% of total)
adjust: 19.0ms (14.1% of total)
ival-pow: 17.0ms (12.6% of total)
ival-add: 13.0ms (9.6% of total)
ival-div: 7.0ms (5.2% of total)
ival-sin: 7.0ms (5.2% of total)
ival-sub: 5.0ms (3.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
24 → 47
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
(fma.f64 x x #s(literal 0 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(sin.f64 x)
Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(pow x 2)
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(* -1 (pow x 3))
(* -1 x)
(/ 1/6 (pow x 2))
(/ 1 (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))))
(* x (- (/ (sin x) x) 1))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(sin x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((- (sin x) x) (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (+ (* (* x x) -1/5040) 1/120) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* -1/6 (* x x)) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (+ (* (pow (neg x) 3) (/ 1 (+ (* x x) 0))) (sin x)) (+ (* x x) 0) (pow (neg x) 3) (neg x) (* (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (/ 1/6 (* x x)) (/ 1 (+ (* x x) 0)) (sin x))
3.0ms
x
@-inf
((- (sin x) x) (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (+ (* (* x x) -1/5040) 1/120) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* -1/6 (* x x)) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (+ (* (pow (neg x) 3) (/ 1 (+ (* x x) 0))) (sin x)) (+ (* x x) 0) (pow (neg x) 3) (neg x) (* (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (/ 1/6 (* x x)) (/ 1 (+ (* x x) 0)) (sin x))
3.0ms
x
@inf
((- (sin x) x) (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (+ (* (* x x) -1/5040) 1/120) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* -1/6 (* x x)) x) (- (sin x) x) (* (+ (* 1/120 (* x x)) -1/6) (* x x)) (+ (* 1/120 (* x x)) -1/6) (- (sin x) x) (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (* (- 1/120 (/ 1/6 (* x x))) (pow x 5)) (- 1/120 (/ 1/6 (* x x))) (+ (* (pow (neg x) 3) (/ 1 (+ (* x x) 0))) (sin x)) (+ (* x x) 0) (pow (neg x) 3) (neg x) (* (* (+ (* (+ (* (* x x) -1/5040) 1/120) (* x x)) -1/6) (* x x)) x) (* (* (+ (* 1/120 (* x x)) -1/6) (* x x)) x) (/ 1/6 (* x x)) (/ 1 (+ (* x x) 0)) (sin x))

simplify151.0ms (2.9%)

Memory
4.7MiB live, 121.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091422
1224416
2611408
31893404
44633400
57666400
08071377
Stop Event
iter limit
node limit
Counts
47 → 46
Calls
Call 1
Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
1/120
(+ 1/120 (* -1/5040 (pow x 2)))
(pow x 2)
(/ -1/6 (pow x 2))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(* -1 (pow x 3))
(* -1 x)
(/ 1/6 (pow x 2))
(/ 1 (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))))
(* x (- (/ (sin x) x) 1))
(* -1/5040 (pow x 6))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 4))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(* -1/5040 (pow x 2))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(* -1/5040 (pow x 7))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(sin x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(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))
1/120
#s(literal 1/120 binary64)
(+ 1/120 (* -1/5040 (pow x 2)))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(pow x 2)
(*.f64 x x)
(/ -1/6 (pow x 2))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(/ (- (* 1/120 (pow x 2)) 1/6) (pow x 2))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* -1 x)
(neg.f64 x)
(/ 1/6 (pow x 2))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.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 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* -1/5040 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5040 binary64))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 6 binary64)))
(* -1/5040 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (*.f64 (-.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
(* -1/5040 (pow x 2))
(*.f64 #s(literal -1/5040 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64))
(* 1/120 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(- 1/120 (* 1/6 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(* -1/5040 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) 1/5040))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)))
(* (pow x 7) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))
(sin x)
(sin.f64 x)
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)))
(* -1 (* (pow x 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (-.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (*.f64 x x)))))

rewrite164.0ms (3.1%)

Memory
24.1MiB live, 179.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041248
065230
1253225
21882219
08712215
Stop Event
iter limit
node limit
iter limit
Counts
24 → 878
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
(*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
(fma.f64 x x #s(literal 0 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 x)
(*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x)
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(sin.f64 x)
Outputs
#s(approx (- (sin x) x) (*.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))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (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)))
(*.f64 x (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 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))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 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))) (*.f64 #s(literal 0 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))) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (*.f64 (*.f64 #s(literal 0 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))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 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))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (-.f64 (*.f64 (*.f64 #s(literal 0 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))) (*.f64 #s(literal 0 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)))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 #s(literal 0 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)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/216 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/36 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) x) (*.f64 #s(literal -1/6 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 4 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)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 6 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)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
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(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/36 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/6 binary64) x)) x)
(/.f64 (/.f64 #s(literal 1/6 binary64) x) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/.f64 #s(literal -1/6 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -6 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 x x) (pow.f64 x #s(literal -4 binary64)))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 6 binary64))))
(-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(sin.f64 x)

eval425.0ms (8.1%)

Memory
-0.1MiB live, 238.0MiB allocated
Compiler

Compiled 35 584 to 5 109 computations (85.6% saved)

prune42.0ms (0.8%)

Memory
-31.8MiB live, 93.1MiB allocated
Pruning

20 alts after pruning (12 fresh and 8 done)

PrunedKeptTotal
New1 30441 308
Fresh2810
Picked145
Done044
Total1 307201 327
Accuracy
100.0%
Counts
1 327 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(fma.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x))))
3.7%
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
9.5%
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
70.4%
(-.f64 (sin.f64 x) x)
99.3%
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
99.3%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
99.2%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
98.6%
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
98.7%
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
98.8%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
99.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
99.3%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
98.7%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
6.4%
#s(approx (- (sin x) x) (neg.f64 x))
34.9%
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
34.4%
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
Compiler

Compiled 521 to 348 computations (33.2% saved)

simplify241.0ms (4.6%)

Memory
4.2MiB live, 42.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
cost-diff0
(*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x)
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
cost-diff320
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
cost-diff0
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
cost-diff-5824
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
cost-diff-5824
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
cost-diff0
(*.f64 x #s(literal -1/6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
cost-diff1088
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029182
045166
170162
2112162
3178162
4332162
5371162
6406162
7497162
8619162
9703162
101555162
112178162
122461162
132471162
142483162
152488162
162488162
172488162
182492162
02492162
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(*.f64 x x)
x
#s(literal 3/2 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
Outputs
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
#s(literal 1/120 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x x)
x
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(*.f64 x x)
x
#s(literal 3/2 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (- (sin x) x) (*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x)
(*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64))) x)
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal -1/6 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)

localize277.0ms (5.3%)

Memory
14.2MiB live, 126.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0703125
(*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x)
accuracy0.15625
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
accuracy0.6686173430478419
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
accuracy1.0457416314192332
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy0
(*.f64 x x)
accuracy0.125
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
accuracy0.15072250976844204
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
accuracy0.6686173430478419
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
accuracy0
(*.f64 x x)
accuracy0.08984375
(*.f64 (*.f64 x x) x)
accuracy0.125
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
accuracy0.6686173430478419
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
accuracy0
(*.f64 x x)
accuracy0.12109375
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
accuracy0.328125
(*.f64 x #s(literal -1/6 binary64))
accuracy0.6686173430478419
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
accuracy0
(*.f64 x x)
accuracy0.0078125
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy0.08203125
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
accuracy0.3396988944565987
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
Samples
182.0ms235×1valid
7.0ms13×2valid
2.0ms0valid
Compiler

Compiled 322 to 56 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 161.0ms
ival-mult: 79.0ms (49.2% of total)
ival-add: 27.0ms (16.8% of total)
ival-pow: 15.0ms (9.3% of total)
adjust: 10.0ms (6.2% of total)
const: 10.0ms (6.2% of total)
ival-div: 8.0ms (5% of total)
ival-sin: 7.0ms (4.4% of total)
ival-sub: 3.0ms (1.9% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Counts
19 → 28
Calls
Call 1
Inputs
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 x x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
Outputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 3)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
(pow x 2)
(* -1/6 x)
(* -1/6 (pow x 2))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(/ 120 (pow x 2))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/6 (pow x 3))
(* -1 (pow x 3))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (- (sin x) x) (* x x) (* x -1/6) (* (* x x) (* x -1/6)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (pow (* x x) 3/2) -1/6) (pow (* x x) 3/2) (* -1/6 (/ 1 (pow x -2))) (- (sin x) x) (* (* -1/6 (/ 1 (pow x -2))) x) (/ 1 (pow x -2)) (+ (* 1/120 (* x x)) -1/6))
2.0ms
x
@inf
((/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (- (sin x) x) (* x x) (* x -1/6) (* (* x x) (* x -1/6)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (pow (* x x) 3/2) -1/6) (pow (* x x) 3/2) (* -1/6 (/ 1 (pow x -2))) (- (sin x) x) (* (* -1/6 (/ 1 (pow x -2))) x) (/ 1 (pow x -2)) (+ (* 1/120 (* x x)) -1/6))
2.0ms
x
@0
((/ (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6))) (- (sin x) x) (pow x 3) (/ 1 (+ (* 1/120 (* x x)) -1/6)) (- (sin x) x) (* x x) (* x -1/6) (* (* x x) (* x -1/6)) (- (sin x) x) (* (* (* x x) x) -1/6) (* (* x x) x) (- (sin x) x) (* (pow (* x x) 3/2) -1/6) (pow (* x x) 3/2) (* -1/6 (/ 1 (pow x -2))) (- (sin x) x) (* (* -1/6 (/ 1 (pow x -2))) x) (/ 1 (pow x -2)) (+ (* 1/120 (* x x)) -1/6))

simplify155.0ms (2.9%)

Memory
-12.8MiB live, 105.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093240
1200240
2516240
31451236
43138232
55390232
08248218
Stop Event
iter limit
node limit
Counts
28 → 28
Calls
Call 1
Inputs
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(pow x 3)
-6
(- (* -3/10 (pow x 2)) 6)
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
(pow x 2)
(* -1/6 x)
(* -1/6 (pow x 2))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 x)
(* x (- (/ (sin x) x) 1))
(/ 120 (pow x 2))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(* 1/120 (pow x 2))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* 1/6 (pow x 3))
(* -1 (pow x 3))
Outputs
(* -1/6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow x 3) (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* (pow x 2) (+ 1/120 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/362880 binary64) (*.f64 x x) #s(literal -1/5040 binary64)) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-6
#s(literal -6 binary64)
(- (* -3/10 (pow x 2)) 6)
(fma.f64 #s(literal -3/10 binary64) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* -3/200 (pow x 2)) 3/10)) 6)
(fma.f64 (fma.f64 #s(literal -3/200 binary64) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -3/4000 (pow x 2)) 3/200)) 3/10)) 6)
(fma.f64 (fma.f64 (fma.f64 #s(literal -3/4000 binary64) (*.f64 x x) #s(literal -3/200 binary64)) (*.f64 x x) #s(literal -3/10 binary64)) (*.f64 x x) #s(literal -6 binary64))
(pow x 2)
(*.f64 x x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* -1/6 (pow x 2))
(*.f64 (*.f64 #s(literal -1/6 binary64) x) x)
-1/6
#s(literal -1/6 binary64)
(- (* 1/120 (pow x 2)) 1/6)
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* 1/120 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(/ 120 (pow x 2))
(/.f64 #s(literal 120 binary64) (*.f64 x x))
(/ (+ 120 (* 2400 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 x x)) #s(literal 120 binary64)) x) x)
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (/ 48000 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2400 binary64) (*.f64 x x)) #s(literal 120 binary64))) (*.f64 x x))
(/ (+ 120 (+ (* 2400 (/ 1 (pow x 2))) (+ (* 960000 (/ 1 (pow x 6))) (/ 48000 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 960000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 120 binary64)) (+.f64 (/.f64 #s(literal 48000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2400 binary64) (*.f64 x x)))) (*.f64 x x))
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (sin x) x)))))
(-.f64 (sin.f64 x) x)
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))

rewrite204.0ms (3.9%)

Memory
-23.2MiB live, 145.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029154
045126
1136122
2672122
36671122
08052122
Stop Event
iter limit
node limit
iter limit
Counts
19 → 827
Calls
Call 1
Inputs
(/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64))
(*.f64 (*.f64 x x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
(*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/720 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/2985984000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)) (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
(*.f64 (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) #s(literal -1 binary64))) (/.f64 x (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64))))
(/.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/120 binary64) x)) x #s(literal -1/6 binary64))
(fma.f64 #s(literal -1/120 binary64) (*.f64 (neg.f64 x) x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (/.f64 #s(literal 1/120 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/14400 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x #s(literal -1/6 binary64))
(fma.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/120 binary64) (*.f64 x x)) #s(literal -1/6 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1 binary64) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 1/14400 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/120 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(fma.f64 x (*.f64 #s(literal 1/120 binary64) x) #s(literal -1/6 binary64))
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))) (neg.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))
(+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64)))

eval92.0ms (1.7%)

Memory
37.0MiB live, 74.7MiB allocated
Compiler

Compiled 15 478 to 2 428 computations (84.3% saved)

prune30.0ms (0.6%)

Memory
-1.4MiB live, 70.9MiB allocated
Pruning

20 alts after pruning (11 fresh and 9 done)

PrunedKeptTotal
New6685673
Fresh167
Picked325
Done178
Total67320693
Accuracy
100.0%
Counts
693 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
3.1%
(fma.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x))))
3.7%
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
9.5%
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
70.4%
(-.f64 (sin.f64 x) x)
99.0%
#s(approx (- (sin x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
99.3%
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
98.8%
#s(approx (- (sin x) x) (/.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -6 binary64))))
99.3%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
99.2%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
98.6%
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
98.8%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
98.7%
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x))
99.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
99.3%
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
98.7%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
98.7%
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x))))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
98.8%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
6.4%
#s(approx (- (sin x) x) (neg.f64 x))
Compiler

Compiled 812 to 352 computations (56.7% saved)

regimes19.0ms (0.4%)

Memory
-16.2MiB live, 32.2MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (- (sin x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (neg.f64 x))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 x) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal -1/216 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64))))))
(fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (+.f64 (sin.f64 x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 (sin.f64 x) x)))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/2985984000000 binary64) #s(literal -1/46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/1728000 binary64) #s(literal 1/216 binary64)) (fma.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/720 binary64)))))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (sin.f64 x) x))))
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
Calls

2 calls:

9.0ms
(-.f64 (sin.f64 x) x)
8.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.2%)

Memory
-12.6MiB live, 25.5MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (sin.f64 x) x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (/.f64 x (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -6 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 #s(approx (- 1/120 (/ 1/6 (* x x))) (/.f64 #s(literal -1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))) x))
#s(approx (- (sin x) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (- (sin x) x) #s(approx (* (+ (* (* x x) 1/120) -1/6) (pow x 3)) (*.f64 (-.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
Calls

2 calls:

7.0ms
x
4.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)) x))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(-.f64 (sin.f64 x) x)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes4.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.8%1(-.f64 (sin.f64 x) x)
98.8%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory
7.0MiB live, 7.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
Outputs
#s(approx (- (sin x) x) (neg.f64 x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
6.4%1(-.f64 (sin.f64 x) x)
6.4%1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify63.0ms (1.2%)

Memory
-17.4MiB live, 58.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02778
13878
24078
34178
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (neg.f64 x))
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.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))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x)) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
#s(approx (- (sin x) x) (neg.f64 x))

soundness565.0ms (10.7%)

Memory
-4.5MiB live, 272.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047122
1121116
2313116
3939112
42033108
53881108
0801996
026142
044142
1156133
21044133
08604133
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 170 to 94 computations (44.7% saved)

preprocess94.0ms (1.8%)

Memory
-20.0MiB live, 85.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 298 to 156 computations (47.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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