bug500 (missed optimization)

Time bar (total: 5.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
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)

sample1.1s (20.7%)

Memory
41.2MiB live, 1 350.6MiB allocated; 223ms collecting garbage
Samples
668.0ms7 114×1valid
140.0ms818×2valid
15.0ms324×0valid
Precisions
Click to see histograms. Total time spent on operations: 600.0ms
ival-sin: 260.0ms (43.3% of total)
adjust: 167.0ms (27.8% of total)
ival-sub: 99.0ms (16.5% of total)
ival-<: 48.0ms (8% of total)
ival-and: 12.0ms (2% of total)
exact: 10.0ms (1.7% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain75.0ms (1.4%)

Memory
-30.1MiB live, 108.8MiB allocated; 9ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
820-0-(-.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)cancellation820
Confusion
Predicted +Predicted -
+820
-0174
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+8200
-00174
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0174
182
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
39.0ms452×1valid
6.0ms40×2valid
1.0ms20×0valid
Compiler

Compiled 22 to 13 computations (40.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-sin: 12.0ms (43.6% of total)
adjust: 9.0ms (32.7% of total)
ival-sub: 5.0ms (18.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess41.0ms (0.8%)

Memory
37.0MiB live, 37.0MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
1713
21413
32213
43413
55613
67813
713113
820913
935913
1096413
11423213
034
054
054
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
Outputs
(-.f64 (sin.f64 x) x)
Compiler

Compiled 4 to 3 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(-.f64 (sin.f64 x) x)
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
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
057
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

localize37.0ms (0.7%)

Memory
-16.7MiB live, 31.3MiB allocated; 14ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy18.315703171849194
(-.f64 (sin.f64 x) x)
Samples
21.0ms226×1valid
3.0ms20×2valid
0.0ms10×0valid
Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sin: 6.0ms (45.2% of total)
adjust: 5.0ms (37.6% of total)
ival-sub: 3.0ms (22.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
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
23.5MiB live, 159.8MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047122
1130116
2373116
31349108
43167108
56680108
08587102
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 (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #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 (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #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)

rewrite150.0ms (2.8%)

Memory
-2.8MiB live, 143.0MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
056
1186
21286
313106
099276
Stop Event
iter limit
node limit
iter limit
Counts
2 → 282
Calls
Call 1
Inputs
(-.f64 (sin.f64 x) x)
(sin.f64 x)
Outputs
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.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 (-.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.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))))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (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 (+.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) 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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64)))) (/.f64 (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 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 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 6 binary64)))) (-.f64 (sin.f64 x) x))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 (sin.f64 x) (neg.f64 x)) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (sin.f64 x) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.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 (-.f64 (neg.f64 (sin.f64 x)) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.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 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.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 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.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))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (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 (-.f64 (sin.f64 x) x) (/.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))))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (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 (-.f64 (sin.f64 x) x) (/.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))))) (/.f64 (-.f64 (sin.f64 x) x) (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 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64)))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x)) (/.f64 (-.f64 (sin.f64 x) x) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (neg.f64 x)) (/.f64 (-.f64 (sin.f64 x) x) (fma.f64 x (-.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
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(-.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 (sin.f64 x) x)) (/.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 (sin.f64 x) 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)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (sin.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 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (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 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 9 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 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 (pow.f64 x #s(literal 9 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 4 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64))) (-.f64 (sin.f64 x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 2 binary64))) (-.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) 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)) (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) 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 (-.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 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 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 x #s(literal 6 binary64)) (pow.f64 (*.f64 (sin.f64 x) x) #s(literal 3 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 -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 (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) x) (-.f64 (sin.f64 x) 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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 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)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (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)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (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)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (neg.f64 (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)) (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)
(+.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 4 binary64))) (-.f64 (sin.f64 x) x))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 x) x) 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 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (sin.f64 x) x)))) (/.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 (sin.f64 x) 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 (sin.f64 x) x)))) (/.f64 (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 4 binary64)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (pow.f64 (-.f64 (sin.f64 x) x) #s(literal 3 binary64))))
(+.f64 (/.f64 (pow.f64 (sin.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 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))) (/.f64 (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 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64))))))
(+.f64 (*.f64 x (/.f64 x (-.f64 (sin.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 2 binary64)) (-.f64 (sin.f64 x) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (sin.f64 x) 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 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 (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 (/.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 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 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)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (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)))) (/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 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)) (fma.f64 (-.f64 (sin.f64 x) x) x (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (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)) (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 x) (neg.f64 (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (neg.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 (sin.f64 x) x)
(+.f64 x (sin.f64 x))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))) (sqrt.f64 (neg.f64 (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x))))) (sqrt.f64 #s(literal -2 binary64)))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) x)))) (sqrt.f64 #s(literal 2 binary64)))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 x))))
(fabs.f64 (neg.f64 (sin.f64 x)))
(fabs.f64 (sin.f64 x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 x))) (sinh.f64 (log.f64 (sin.f64 x))))

eval40.0ms (0.7%)

Memory
-27.1MiB live, 69.1MiB allocated; 11ms collecting garbage
Compiler

Compiled 10 106 to 710 computations (93% saved)

prune6.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2884292
Fresh000
Picked011
Done000
Total2885293
Accuracy
99.8%
Counts
293 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(-.f64 (sin.f64 x) x)
99.5%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
98.9%
#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 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
6.6%
#s(approx (- (sin x) x) (neg.f64 x))
Compiler

Compiled 58 to 44 computations (24.1% saved)

simplify199.0ms (3.7%)

Memory
-3.5MiB live, 189.3MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 4 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
cost-diff1
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (-.f64 (*.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 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- (sin x) x) (neg.f64 x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023156
034156
149156
2128156
3469156
41431156
52727156
63546156
73919156
84202156
95293156
08028154
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 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) (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/5040 binary64)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(*.f64 (-.f64 (*.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 (*.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 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.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) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/5040 binary64)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)

localize122.0ms (2.3%)

Memory
-19.9MiB live, 170.3MiB allocated; 19ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy0.11328125
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy0.13671875
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
accuracy0.1766671871434566
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.12890625
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
accuracy0.548326890940968
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy0.11328125
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy0.13671875
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.2510759153522566
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
accuracy0.0
(neg.f64 x)
accuracy59.806268888759135
#s(approx (- (sin x) x) (neg.f64 x))
Samples
90.0ms226×1valid
10.0ms20×2valid
2.0ms10×0valid
Compiler

Compiled 122 to 22 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
const: 21.0ms (26.6% of total)
ival-mult: 18.0ms (22.8% of total)
adjust: 16.0ms (20.2% of total)
ival-pow: 8.0ms (10.1% of total)
ival-sin: 7.0ms (8.9% of total)
ival-sub: 5.0ms (6.3% of total)
ival-add: 2.0ms (2.5% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
28.3MiB live, 28.3MiB allocated; 0ms collecting garbage
Counts
13 → 25
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#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))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 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))
(* -1 x)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(pow x 3)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(pow x 4)
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (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)))))
(* -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 (* 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
@-inf
((- (sin x) x) (neg x) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow x 3)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 3)) (- (sin x) x) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 4))
3.0ms
x
@inf
((- (sin x) x) (neg x) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow x 3)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 3)) (- (sin x) x) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 4))
2.0ms
x
@0
((- (sin x) x) (neg x) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow x 3)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (- (sin x) x) (* (pow x 3) -1/6) (pow x 3) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 3)) (- (sin x) x) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (pow x 4))

simplify107.0ms (2%)

Memory
-25.9MiB live, 164.9MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070236
1166236
2463236
31588227
44728227
08270218
Stop Event
iter limit
node limit
Counts
25 → 25
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 x)
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(pow x 3)
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(pow x 4)
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (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)))))
(* -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 (* 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 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 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6)
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* 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)))
(* (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))
(* -1/5040 (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 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))
(* -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 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.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 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))

rewrite134.0ms (2.5%)

Memory
29.3MiB live, 164.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023118
034118
198118
2660118
08499118
Stop Event
iter limit
node limit
iter limit
Counts
13 → 403
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
#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))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
Outputs
#s(approx (- (sin x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
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(-.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/1728000 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 #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 (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 #s(literal -1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/36 binary64)))) (/.f64 #s(literal 1/216 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/14400 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 1/36 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (+.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/14400 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (-.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/1728000 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 #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 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/1728000 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 #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 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(-.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x))) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(-.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (neg.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))) #s(literal -1/6 binary64))
(+.f64 (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal -1/128024064000 binary64) (pow.f64 x #s(literal 12 binary64))) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64)) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/25401600 binary64) (pow.f64 x #s(literal 8 binary64))) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))) (/.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(+.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(+.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 4 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))
(fma.f64 x (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 x (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) x))
(+.f64 (*.f64 x (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 x (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))))
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))

eval422.0ms (7.8%)

Memory
-121.1MiB live, 101.8MiB allocated; 741ms collecting garbage
Compiler

Compiled 18 116 to 1 905 computations (89.5% saved)

prune25.0ms (0.5%)

Memory
-0.9MiB live, 43.6MiB allocated; 6ms collecting garbage
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New52416540
Fresh000
Picked224
Done011
Total52619545
Accuracy
100.0%
Counts
545 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(-.f64 (sin.f64 x) x)
99.4%
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
99.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.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 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
99.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))
99.5%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
45.7%
#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)))
98.9%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
45.6%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
99.3%
#s(approx (- (sin x) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2985984000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64)) (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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))))) (pow.f64 x #s(literal 3 binary64))))
80.5%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
99.4%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
45.1%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
99.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
6.6%
#s(approx (- (sin x) x) (neg.f64 x))
36.0%
#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 645 to 462 computations (28.4% saved)

simplify143.0ms (2.6%)

Memory
-28.3MiB live, 111.1MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)
cost-diff0
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff6
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
(pow.f64 x #s(literal 3/2 binary64))
cost-diff0
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
cost-diff0
#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)))
cost-diff2
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
cost-diff2
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 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-diff2
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
cost-diff0
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
cost-diff0
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
cost-diff2
(*.f64 (*.f64 x x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037309
060277
1105277
2260277
3956277
42503277
54228277
66462277
08117277
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/5040 binary64)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.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 #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 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#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)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/5040 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal -1/5040 binary64)
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 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 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
#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)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64)))))
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/120 binary64) x) x (-.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
#s(literal 1/120 binary64)
(*.f64 x x)
x
#s(literal 1/6 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/5040 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

localize161.0ms (3%)

Memory
13.2MiB live, 205.2MiB allocated; 22ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
accuracy0.05078125
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
accuracy0.06640625
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
accuracy0.1640625
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy0.0
(pow.f64 x #s(literal 3/2 binary64))
accuracy0.03515625
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
accuracy0.0546875
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
accuracy0.21754740346907725
#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)))
accuracy0.006191259768442017
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
accuracy0.0390625
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
accuracy0.05078125
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
accuracy0.1640625
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
accuracy0.0
(*.f64 x x)
accuracy0.046875
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x)
accuracy0.06640625
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
accuracy0.21754740346907725
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
accuracy0.00390625
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
accuracy0.02734375
(*.f64 (*.f64 x x) x)
accuracy0.0390625
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))
accuracy0.05078125
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
Samples
71.0ms104×1valid
41.0ms138×0invalid
8.0ms11×2valid
1.0ms0valid
Compiler

Compiled 242 to 36 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 28.0ms (31.1% of total)
ival-pow: 14.0ms (15.6% of total)
const: 13.0ms (14.4% of total)
adjust: 12.0ms (13.3% of total)
ival-sub: 9.0ms (10% of total)
ival-sin: 5.0ms (5.6% of total)
ival-pow2: 4.0ms (4.4% of total)
ival-add: 3.0ms (3.3% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-10.0MiB live, 35.6MiB allocated; 3ms collecting garbage
Counts
23 → 39
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #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))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
#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)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
Outputs
(pow x 3)
(* -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)
(* -1/6 (pow x 2))
(pow x 2)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(sqrt (pow x 3))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 2))
(* -1/5040 (pow x 3))
(* -1 x)
(* 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)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -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 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
((* (* x x) x) (- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* -1/6 (* x x)) x) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (- (* 1/120 (* x x)) 1/6) (pow (pow x 3/2) 2) (- (sin x) x) (* (pow (pow x 3/2) 2) -1/6) (pow x 3/2) (+ (* (* (* (- (* 1/120 (* x x)) 1/6) x) x) x) (* (* (pow x 3) -1/5040) (pow x 4))) (- (sin x) x) (* (* (- (* 1/120 (* x x)) 1/6) x) x) (* (* x x) 1/120) (- (* (* x x) 1/120) 1/6) (* 1/120 (* x x)) (* (pow x 3) -1/5040))
4.0ms
x
@inf
((* (* x x) x) (- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* -1/6 (* x x)) x) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (- (* 1/120 (* x x)) 1/6) (pow (pow x 3/2) 2) (- (sin x) x) (* (pow (pow x 3/2) 2) -1/6) (pow x 3/2) (+ (* (* (* (- (* 1/120 (* x x)) 1/6) x) x) x) (* (* (pow x 3) -1/5040) (pow x 4))) (- (sin x) x) (* (* (- (* 1/120 (* x x)) 1/6) x) x) (* (* x x) 1/120) (- (* (* x x) 1/120) 1/6) (* 1/120 (* x x)) (* (pow x 3) -1/5040))
3.0ms
x
@0
((* (* x x) x) (- (sin x) x) (* (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* x x) x)) (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (* (* -1/6 (* x x)) x) (- (sin x) x) (* -1/6 (* x x)) (* x x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (- (* 1/120 (* x x)) 1/6) (pow (pow x 3/2) 2) (- (sin x) x) (* (pow (pow x 3/2) 2) -1/6) (pow x 3/2) (+ (* (* (* (- (* 1/120 (* x x)) 1/6) x) x) x) (* (* (pow x 3) -1/5040) (pow x 4))) (- (sin x) x) (* (* (- (* 1/120 (* x x)) 1/6) x) x) (* (* x x) 1/120) (- (* (* x x) 1/120) 1/6) (* 1/120 (* x x)) (* (pow x 3) -1/5040))

simplify122.0ms (2.3%)

Memory
13.4MiB live, 200.8MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088333
1207330
2583329
31957319
46338319
08264307
Stop Event
iter limit
node limit
Counts
39 → 39
Calls
Call 1
Inputs
(pow x 3)
(* -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)
(* -1/6 (pow x 2))
(pow x 2)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(sqrt (pow x 3))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* 1/120 (pow x 2))
(* -1/5040 (pow x 3))
(* -1 x)
(* 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)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -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 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
Outputs
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/6 (pow x 3))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
(* -1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
(pow x 2)
(*.f64 x x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 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)
(* 1/120 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(* -1/5040 (pow x 3))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3 binary64)))
(* -1 x)
(neg.f64 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 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)))
(* (pow x 4) (- (* 1/120 (/ 1 (pow x 2))) (+ 1/5040 (/ 1/6 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 4 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 3))
(*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* (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 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 (* 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 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (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 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #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 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)))
(* -1 (* (pow x 3) (pow (sqrt -1) 2)))
(pow.f64 x #s(literal 3 binary64))
(* 1/6 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))

rewrite166.0ms (3.1%)

Memory
2.6MiB live, 188.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037241
060209
1192209
21080209
08611209
Stop Event
iter limit
node limit
iter limit
Counts
23 → 747
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) x)
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #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))
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
(*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x)
(-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
#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)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x)
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
Outputs
(*.f64 (neg.f64 (pow.f64 x #s(literal 9/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (neg.f64 (pow.f64 x #s(literal 3/4 binary64))))
(*.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (neg.f64 (pow.f64 x #s(literal 9/4 binary64))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (pow.f64 x #s(literal 9/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 x (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(*.f64 x (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))) (*.f64 x x)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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 #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 #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 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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 #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 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #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 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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)))) (fma.f64 (/.f64 #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 #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 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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 #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 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)))) (neg.f64 (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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 (-.f64 (*.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 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)) #s(literal 1/36 binary64))) (pow.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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 1/14400 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 1/216 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 2 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (fma.f64 #s(literal -1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 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 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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))))
(neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #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 (/.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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 #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 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (fabs.f64 (*.f64 #s(literal -1/120 binary64) x)) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)) x)
(*.f64 (*.f64 #s(literal -1/120 binary64) x) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/120 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 #s(literal -1/120 binary64) x))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x (fabs.f64 (*.f64 #s(literal -1/120 binary64) x)))
(*.f64 x (fabs.f64 (*.f64 #s(literal 1/120 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/120 binary64) x))
(neg.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (*.f64 #s(literal -1/120 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) x)) (*.f64 x x))
(*.f64 (neg.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -1/5040 binary64) x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 #s(literal -1/5040 binary64) x) (*.f64 x x))
(*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)) x)
(*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -1/5040 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/5040 binary64)))
(*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/5040 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/5040 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/5040 binary64)))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (neg.f64 (*.f64 x #s(literal -1/5040 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/5040 binary64)))
(*.f64 x (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/5040 binary64))))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)))
(neg.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(fma.f64 #s(literal 1/5040 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/5040 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1/5040 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1/5040 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 1/5040 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/5040 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3/2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/5040 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))

eval89.0ms (1.6%)

Memory
6.4MiB live, 109.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 20 772 to 2 232 computations (89.3% saved)

prune29.0ms (0.5%)

Memory
6.4MiB live, 52.1MiB allocated; 6ms collecting garbage
Pruning

20 alts after pruning (16 fresh and 4 done)

PrunedKeptTotal
New6199628
Fresh4711
Picked415
Done033
Total62720647
Accuracy
100.0%
Counts
647 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(-.f64 (sin.f64 x) x)
99.5%
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
99.4%
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 4 binary64)))))
99.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.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 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
99.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
99.5%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
98.9%
#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 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x)))
80.5%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
99.4%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
45.1%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
99.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
92.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) x))
99.4%
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)))
6.6%
#s(approx (- (sin x) x) (neg.f64 x))
36.0%
#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 739 to 504 computations (31.8% saved)

simplify133.0ms (2.4%)

Memory
0.9MiB live, 144.0MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
cost-diff2
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
cost-diff0
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
cost-diff0
#s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
cost-diff0
(*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
cost-diff2
(*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x))
cost-diff0
(*.f64 #s(literal -1/6 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
cost-diff2
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
cost-diff0
(*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
cost-diff0
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
cost-diff6
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045371
071361
1125355
2320355
31312347
46495347
08335345
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
(-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 1/14400 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
(*.f64 x x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/5040 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
(*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x))
(*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
#s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 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)
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
#s(literal 3 binary64)
Outputs
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) x))
(*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) x) x)
(-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))
(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))
(*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64))
#s(literal 1/14400 binary64)
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 1/36 binary64)
(*.f64 x x)
(fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/5040 binary64) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal -1/5040 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(*.f64 x x)
x
(*.f64 #s(literal -1/6 binary64) x)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)))))
(*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))))
(*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
(*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64))) x)
#s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (- (* 1/120 (* x x)) 1/6) (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 x x) #s(literal -1/6 binary64))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal -1/6 binary64)
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) (-.f64 (*.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 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.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 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(*.f64 #s(literal 1/120 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(log.f64 x)
#s(literal 3 binary64)

localize206.0ms (3.8%)

Memory
-11.4MiB live, 417.2MiB allocated; 56ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0390625
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
accuracy0.05078125
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy0.11328125
(*.f64 (log.f64 x) #s(literal 3 binary64))
accuracy0.610405180524301
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
accuracy0.006191259768442017
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
accuracy0.0390625
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
accuracy0.04296875
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
accuracy0.05078125
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
accuracy0.00390625
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
accuracy0.006191259768442017
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
accuracy0.0390625
(*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x))
accuracy0.1640625
(*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
accuracy0.0
(*.f64 x x)
accuracy0.05078125
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
accuracy0.171875
(*.f64 #s(literal -1/6 binary64) x)
accuracy0.21754740346907725
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
accuracy0.05078125
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
accuracy0.0625
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
accuracy0.0625
(*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
accuracy0.06640625
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
Samples
92.0ms104×1valid
60.0ms138×0invalid
15.0ms11×2valid
1.0ms0valid
Compiler

Compiled 270 to 41 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 33.0ms (25.4% of total)
const: 31.0ms (23.9% of total)
adjust: 20.0ms (15.4% of total)
ival-pow: 18.0ms (13.9% of total)
ival-add: 8.0ms (6.2% of total)
ival-sub: 7.0ms (5.4% of total)
ival-sin: 4.0ms (3.1% of total)
ival-exp: 3.0ms (2.3% of total)
ival-log: 3.0ms (2.3% of total)
ival-div: 2.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (1.2%)

Memory
5.6MiB live, 97.7MiB allocated; 8ms collecting garbage
Counts
23 → 41
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
(*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
#s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(*.f64 (log.f64 x) #s(literal 3 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))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))
(pow x 2)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(pow x 3)
(* -1/5040 (pow x 3))
(* 3 (log x))
(* -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 x)
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 6))
(* (pow x 6) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -3 (log (/ 1 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 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1/120 (pow x 5))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (pow x 3))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
Calls

3 calls:

TimeVariablePointExpression
31.0ms
x
@0
((+ (* (/ (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (+ (* 1/120 (* x x)) 1/6)) x) (* (* (pow x 3) -1/5040) (pow x 4))) (- (sin x) x) (/ (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (+ (* 1/120 (* x x)) 1/6)) (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (* (* x x) (* -1/6 x)) (- (sin x) x) (* x x) (* -1/6 x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (- (* 1/120 (* x x)) 1/6) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow (* x x) 3/2)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (exp (* (log x) 3)) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (exp (* (log x) 3))) (* (pow x 3) -1/5040) (+ (* (* x x) 1/120) -1/6) (pow (* x x) 3/2) (* (log x) 3))
24.0ms
x
@-inf
((+ (* (/ (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (+ (* 1/120 (* x x)) 1/6)) x) (* (* (pow x 3) -1/5040) (pow x 4))) (- (sin x) x) (/ (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (+ (* 1/120 (* x x)) 1/6)) (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (* (* x x) (* -1/6 x)) (- (sin x) x) (* x x) (* -1/6 x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (- (* 1/120 (* x x)) 1/6) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow (* x x) 3/2)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (exp (* (log x) 3)) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (exp (* (log x) 3))) (* (pow x 3) -1/5040) (+ (* (* x x) 1/120) -1/6) (pow (* x x) 3/2) (* (log x) 3))
11.0ms
x
@inf
((+ (* (/ (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (+ (* 1/120 (* x x)) 1/6)) x) (* (* (pow x 3) -1/5040) (pow x 4))) (- (sin x) x) (/ (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (+ (* 1/120 (* x x)) 1/6)) (* (- (* 1/14400 (pow x 4)) 1/36) (* x x)) (* (* x x) (* -1/6 x)) (- (sin x) x) (* x x) (* -1/6 x) (* (* (- (* 1/120 (* x x)) 1/6) x) (* x x)) (- (sin x) x) (* (- (* 1/120 (* x x)) 1/6) x) (- (* 1/120 (* x x)) 1/6) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (pow (* x x) 3/2)) (- (* (* x x) 1/120) 1/6) (* (* x x) 1/120) (exp (* (log x) 3)) (- (sin x) x) (* (- (* (* x x) 1/120) 1/6) (exp (* (log x) 3))) (* (pow x 3) -1/5040) (+ (* (* x x) 1/120) -1/6) (pow (* x x) 3/2) (* (log x) 3))

simplify124.0ms (2.3%)

Memory
3.6MiB live, 109.6MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108337
1245336
2646336
32071325
46358325
08089315
Stop Event
iter limit
node limit
Counts
41 → 41
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))
(* -1/36 (pow x 2))
(* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))
(pow x 2)
(* -1/6 x)
(* x (- (* 1/120 (pow x 2)) 1/6))
-1/6
(- (* 1/120 (pow x 2)) 1/6)
(* 1/120 (pow x 2))
(pow x 3)
(* -1/5040 (pow x 3))
(* 3 (log x))
(* -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 x)
(* x (- (/ (sin x) x) 1))
(* 1/120 (pow x 4))
(* (pow x 4) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/14400 (pow x 6))
(* (pow x 6) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(* 1/120 (pow x 5))
(* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* 1/120 (pow x 3))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(* -3 (log (/ 1 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 (* x (+ 1 (* -1 (/ (sin x) x)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(* -1/120 (pow x 5))
(* -1 (* (pow x 5) (- 1/120 (* 1/6 (/ 1 (pow x 2))))))
(* -1 (pow x 3))
(* 3 (+ (log -1) (* -1 (log (/ -1 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (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 (* (pow x 2) (- (* 1/362880 (pow x 2)) 1/5040)))) 1/6))
(*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/362880 binary64) (*.f64 x x)) #s(literal 1/5040 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #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)
(* -1/36 (pow x 2))
(*.f64 #s(literal -1/36 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/14400 (pow x 4)) 1/36))
(*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/120 (pow x 2)) 1/6))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) 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 2))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1/5040 (pow x 3))
(*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 3 binary64)))
(* 3 (log x))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(* -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 1/120 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/5040 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ (sin x) x) 1))
(-.f64 (sin.f64 x) x)
(* 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)))
(* 1/14400 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/14400 binary64))
(* (pow x 6) (- 1/14400 (* 1/36 (/ 1 (pow x 4)))))
(*.f64 (-.f64 #s(literal 1/14400 binary64) (/.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 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 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/120 binary64))
(* (pow x 3) (- 1/120 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) x)
(* (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))
(* -3 (log (/ 1 x)))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(* -1 (* (pow x 7) (- 1/5040 (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.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 7) (- (+ 1/5040 (/ 1/6 (pow x 4))) (* 1/120 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/5040 binary64)) (/.f64 #s(literal -1/120 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* -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 (neg.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 1/120)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/120 binary64)))
(* -1/120 (pow x 5))
(*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (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 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* 3 (+ (log -1) (* -1 (log (/ -1 x)))))
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))

rewrite202.0ms (3.7%)

Memory
-9.0MiB live, 174.5MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045291
071275
1221248
21256240
08563238
Stop Event
iter limit
node limit
iter limit
Counts
23 → 635
Calls
Call 1
Inputs
(fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
(*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x)
#s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/120 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(*.f64 (log.f64 x) #s(literal 3 binary64))
Outputs
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(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))))
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))))))
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(*.f64 #s(literal 3/4 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))
(*.f64 (log.f64 x) (log.f64 (exp.f64 #s(literal 3 binary64))))
(*.f64 (log.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal 3/2 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(*.f64 #s(literal 3 binary64) (log.f64 x))
(fma.f64 #s(literal 2 binary64) (log.f64 (neg.f64 x)) (log.f64 x))
(fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 x))
(fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 x))
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))))))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
(+.f64 (log.f64 (*.f64 x (neg.f64 x))) (log.f64 (neg.f64 x)))
(+.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (log.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(+.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) (log.f64 (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 (log.f64 (neg.f64 x)) (log.f64 (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 x))
(+.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(log.f64 (pow.f64 x #s(literal 3 binary64)))

eval82.0ms (1.5%)

Memory
30.9MiB live, 119.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 27 060 to 2 848 computations (89.5% saved)

prune31.0ms (0.6%)

Memory
-23.9MiB live, 80.1MiB allocated; 8ms collecting garbage
Pruning

19 alts after pruning (11 fresh and 8 done)

PrunedKeptTotal
New7234727
Fresh4711
Picked145
Done044
Total72819747
Accuracy
100.0%
Counts
747 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.4%
(-.f64 (sin.f64 x) x)
99.5%
#s(approx (- (sin x) x) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) x (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))
99.4%
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) x) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
99.5%
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)))
80.5%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64))))
99.4%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
45.1%
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
99.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) x) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
99.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
99.4%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
98.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
92.9%
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) x))
99.4%
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)))
6.6%
#s(approx (- (sin x) x) (neg.f64 x))
36.0%
#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 1 041 to 415 computations (60.1% saved)

regimes16.0ms (0.3%)

Memory
27.2MiB live, 27.2MiB allocated; 0ms collecting garbage
Counts
34 → 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 #s(literal -1/6 binary64) x)))
#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 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
(-.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 (-.f64 (*.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 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) x (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) x) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) x) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 4 binary64)))))
#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)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (*.f64 (-.f64 (*.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 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2985984000000 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1/46656 binary64)) (*.f64 (fma.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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))))) (pow.f64 x #s(literal 3 binary64))))
Outputs
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.5%1(-.f64 (sin.f64 x) x)
99.5%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes17.0ms (0.3%)

Memory
-14.8MiB live, 32.1MiB allocated; 1ms collecting garbage
Counts
32 → 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 #s(literal -1/6 binary64) x)))
#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 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
(-.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 (-.f64 (*.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 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) x (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) x) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) x) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 4 binary64)))))
#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)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (*.f64 (-.f64 (*.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 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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)) (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal 1/36 binary64)))))
#s(approx (- (sin x) x) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/1728000 binary64) (pow.f64 x #s(literal 6 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)) (fma.f64 (*.f64 x x) #s(literal 1/720 binary64) #s(literal 1/36 binary64)))))
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64))))
Calls

2 calls:

9.0ms
x
6.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.5%1(-.f64 (sin.f64 x) x)
99.5%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes13.0ms (0.2%)

Memory
13.9MiB live, 13.9MiB allocated; 0ms collecting garbage
Counts
27 → 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 #s(literal -1/6 binary64) x)))
#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 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.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 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
(-.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 (-.f64 (*.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 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))) x))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) x (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64)) x) (*.f64 x (/.f64 x (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))))))
#s(approx (- (sin x) x) (*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) x) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 x x)))
#s(approx (- (sin x) x) (/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/14400 binary64)) #s(literal 1/36 binary64))) x) (neg.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64)))))
#s(approx (- (sin x) x) (fma.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) x) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal -1/5040 binary64))) (pow.f64 x #s(literal 4 binary64)))))
#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)))
#s(approx (- (sin x) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/6 binary64))))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
Outputs
#s(approx (- (sin x) x) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
Calls

2 calls:

7.0ms
x
5.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.5%1(-.f64 (sin.f64 x) x)
99.5%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes6.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Counts
10 → 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 #s(literal -1/6 binary64) x)))
#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 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 x x) x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
99.4%1(-.f64 (sin.f64 x) x)
99.4%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated; 0ms collecting garbage
Counts
7 → 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 #s(literal -1/6 binary64) x)))
#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 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x)))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)))
Outputs
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (*.f64 (*.f64 x x) x)))
Calls

2 calls:

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

Compiled 5 to 4 computations (20% saved)

regimes5.0ms (0.1%)

Memory
-42.2MiB live, 5.1MiB allocated; 1ms collecting garbage
Counts
6 → 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 #s(literal -1/6 binary64) x)))
#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 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x)) (neg.f64 x)))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)))
Calls

2 calls:

3.0ms
x
2.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.9%1(-.f64 (sin.f64 x) x)
98.9%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
4 → 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 #s(literal -1/6 binary64) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) x) x) x))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) x)))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.9%1(-.f64 (sin.f64 x) x)
98.9%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Counts
2 → 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))
Outputs
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) x))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (sin.f64 x) x)
Results
AccuracySegmentsBranch
98.9%1(-.f64 (sin.f64 x) x)
98.9%1x
Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
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
6.6%1(-.f64 (sin.f64 x) x)
6.6%1x
Compiler

Compiled 5 to 4 computations (20% saved)

simplify44.0ms (0.8%)

Memory
26.8MiB live, 26.8MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061181
183181
2134181
3232181
4321181
5345181
6368181
7438181
8661181
91322181
103739181
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (- (sin x) x) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) 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) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/14400 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 x x)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal 1/6 binary64))) x (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/5040 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (- (sin x) x) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/5040 binary64) (-.f64 (*.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 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -1/5040 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) x)))
#s(approx (- (sin x) x) (*.f64 (*.f64 #s(approx (- (* 1/120 (* x x)) 1/6) (fma.f64 (*.f64 x x) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) x) (*.f64 x x)))
#s(approx (- (sin x) x) (*.f64 #s(approx (+ (* (pow x 4) -1/5040) (- (* (* x x) 1/120) 1/6)) (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 (*.f64 x x) x) #s(literal -1/6 binary64)))
#s(approx (- (sin x) x) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/6 binary64) 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))

derivations1.1s (19.5%)

Memory
-34.1MiB live, 344.4MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088333
1207330
2583329
31957319
46338319
08264307
037241
060209
1192209
21080209
08611209
047122
1130116
2373116
31349108
43167108
56680108
08587102
023118
034118
198118
2660118
08499118
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 181 to 65 computations (64.1% saved)

preprocess76.0ms (1.4%)

Memory
30.2MiB live, 77.9MiB allocated; 7ms collecting garbage
Compiler

Compiled 424 to 180 computations (57.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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