Falkner and Boettcher, Appendix B, 1

Time bar (total: 13.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze557.0ms (4.2%)

Memory
-25.0MiB live, 702.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%100%0%0%0%0%3
0%0%100%0%0%0%0%4
0%0%100%0%0%0%0%5
0%0%100%0%0%0%0%6
0%0%100%0%0%0%0%7
0%0%100%0%0%0%0%8
0%0%100%0%0%0%0%9
0%0%100%0%0%0%0%10
0%0%100%0%0%0%0%11
0%0%100%0%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample5.5s (41.2%)

Memory
7.7MiB live, 6 032.2MiB allocated
Samples
1.6s3 755×3valid
1.2s2 108×1valid
958.0ms8 223×0invalid
850.0ms2 081×2valid
60.0ms312×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.0s
ival-acos: 839.0ms (28.4% of total)
ival-mult: 651.0ms (22% of total)
ival-sub: 554.0ms (18.7% of total)
adjust: 522.0ms (17.6% of total)
ival-div: 355.0ms (12% of total)
exact: 17.0ms (0.6% of total)
ival-true: 14.0ms (0.5% of total)
ival-assert: 7.0ms (0.2% of total)
Bogosity

explain270.0ms (2%)

Memory
15.4MiB live, 343.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10244(3.4199669319411192e-267)0-(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
00-0-(*.f64 #s(literal 5 binary64) (*.f64 v v))
00-0-#s(literal 1 binary64)
00-0-(*.f64 v v)
00-0-#s(literal 5 binary64)
00-0-(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
00-0-v
00-0-(-.f64 (*.f64 v v) #s(literal 1 binary64))
00-0-(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
acos.f64(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))sensitivity2541
Confusion
Predicted +Predicted -
+101
-2441
Precision
0.03937007874015748
Recall
0.9090909090909091
Confusion?
Predicted +Predicted MaybePredicted -
+1010
-24401
Precision?
0.043137254901960784
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
91.0ms246×3valid
35.0ms116×2valid
27.0ms134×1valid
1.0ms16×0valid
Compiler

Compiled 118 to 31 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 123.0ms
adjust: 30.0ms (24.5% of total)
ival-sub: 28.0ms (22.8% of total)
ival-acos: 27.0ms (22% of total)
ival-div: 19.0ms (15.5% of total)
ival-mult: 17.0ms (13.9% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess132.0ms (1%)

Memory
-30.9MiB live, 106.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01129
13529
213229
350629
4207529
5490229
6652829
7763729
0914
01514
13414
210714
353214
4205914
5499314
6684414
0800512
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Symmetry

(abs v)

Compiler

Compiled 14 to 9 computations (35.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify107.0ms (0.8%)

Memory
22.0MiB live, 120.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
cost-diff1
(-.f64 (*.f64 v v) #s(literal 1 binary64))
cost-diff1
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0950
01550
13450
210750
353250
4205950
5499350
6684450
0800544
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
Outputs
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
#s(literal 5 binary64)
(*.f64 v v)
v
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(fma.f64 v v #s(literal -1 binary64))

localize122.0ms (0.9%)

Memory
-1.8MiB live, 146.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 v v)
accuracy0.00390625
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
accuracy0.13738251953688402
(*.f64 #s(literal 5 binary64) (*.f64 v v))
accuracy0.4177986515029256
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Samples
80.0ms123×3valid
13.0ms58×2valid
10.0ms67×1valid
1.0ms0valid
Compiler

Compiled 52 to 11 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 39.0ms (44.2% of total)
ival-acos: 14.0ms (15.8% of total)
ival-div: 13.0ms (14.7% of total)
adjust: 11.0ms (12.5% of total)
ival-sub: 11.0ms (12.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
6 → 17
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 v v)
Outputs
1
(+ 1 (* -5 (pow v 2)))
-1
(- (pow v 2) 1)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 5 (pow v 2))
(pow v 2)
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
v
@inf
((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms
v
@0
((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))
1.0ms
v
@-inf
((- 1 (* 5 (* v v))) (- (* v v) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (* 5 (* v v)) (* v v))

simplify168.0ms (1.3%)

Memory
-10.4MiB live, 120.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039145
1106142
2324138
31271138
45712136
08293130
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
1
(+ 1 (* -5 (pow v 2)))
-1
(- (pow v 2) 1)
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 5 (pow v 2))
(pow v 2)
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (pow v 2) 1)
(fma.f64 v v #s(literal -1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(- (* 4 (pow v 2)) 1)
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(-.f64 (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 v (+.f64 v (pow.f64 v #s(literal 3 binary64))) (pow.f64 v #s(literal 6 binary64)))) #s(literal 1 binary64))
(* 5 (pow v 2))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(pow v 2)
(*.f64 v v)
(* -5 (pow v 2))
(*.f64 (*.f64 v v) #s(literal -5 binary64))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) v) v)
(* (pow v 2) (- 1 (/ 1 (pow v 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (pow.f64 v #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)))

rewrite171.0ms (1.3%)

Memory
13.6MiB live, 203.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0947
01547
16747
250047
3652447
0813241
Stop Event
iter limit
node limit
iter limit
Counts
6 → 530
Calls
Call 1
Inputs
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v)))
(-.f64 (*.f64 v v) #s(literal 1 binary64))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 v v)
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 625 binary64) (pow.f64 v #s(literal 8 binary64)) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64) v)) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (fma.f64 #s(literal 625 binary64) (pow.f64 v #s(literal 8 binary64)) (*.f64 #s(literal -25 binary64) (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 v #s(literal 5 binary64)) (fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal 5 binary64) v))))
(*.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 #s(literal 25 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 #s(literal 25 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))))) (+.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 #s(literal 25 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))))) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 5 binary64) (*.f64 v (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -3 binary64)) (fma.f64 (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)))) (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -2 binary64)))))
(-.f64 (/.f64 (fma.f64 v v #s(literal -1 binary64)) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 v v #s(literal -1 binary64)) v) (*.f64 v #s(literal 5 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal 2 binary64))))
(-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 #s(literal 25 binary64) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))))) (fma.f64 v v #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))))) (fma.f64 v v (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 v (/.f64 #s(literal 5 binary64) (+.f64 v #s(literal 1 binary64))))) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 v (/.f64 v (+.f64 v #s(literal 1 binary64))))) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64)))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 5 binary64) (+.f64 v #s(literal 1 binary64)))) (*.f64 v (/.f64 v (-.f64 v #s(literal 1 binary64))))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))))
(+.f64 (*.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 v v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 v #s(literal 4 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 v v #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 v v)) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 v v)))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 v v)))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 v #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 v #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64))))
(+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))) (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))))) (fma.f64 v v #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 (*.f64 v #s(literal 5 binary64)) (/.f64 v (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))))) (fma.f64 v v (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 4 binary64))))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 v (/.f64 #s(literal 5 binary64) (+.f64 v #s(literal 1 binary64))))) (/.f64 v (-.f64 v #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 v (/.f64 v (+.f64 v #s(literal 1 binary64))))) (/.f64 #s(literal 5 binary64) (-.f64 v #s(literal 1 binary64)))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 (/.f64 #s(literal 5 binary64) (+.f64 v #s(literal 1 binary64)))) (*.f64 v (/.f64 v (-.f64 v #s(literal 1 binary64))))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 v) v) (/.f64 #s(literal 5 binary64) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (pow.f64 (fma.f64 v v #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 v (fma.f64 v v #s(literal -1 binary64))) (*.f64 v #s(literal 5 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -5 binary64) v)) (neg.f64 v))
(*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) (neg.f64 v))) (neg.f64 v))
(*.f64 (fabs.f64 (*.f64 #s(literal -5 binary64) v)) v)
(*.f64 (fabs.f64 (*.f64 v #s(literal 5 binary64))) v)
(*.f64 (*.f64 #s(literal -5 binary64) (neg.f64 v)) v)
(*.f64 (*.f64 #s(literal -5 binary64) v) (neg.f64 v))
(*.f64 (*.f64 (neg.f64 v) v) #s(literal -5 binary64))
(*.f64 (*.f64 v #s(literal 5 binary64)) v)
(*.f64 #s(literal -5 binary64) (*.f64 (neg.f64 v) v))
(*.f64 (neg.f64 v) (*.f64 (*.f64 #s(literal -5 binary64) v) #s(literal 1 binary64)))
(*.f64 (neg.f64 v) (*.f64 #s(literal -5 binary64) v))
(*.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 v v) #s(literal 5 binary64))
(*.f64 v (fabs.f64 (*.f64 #s(literal -5 binary64) v)))
(*.f64 v (fabs.f64 (*.f64 v #s(literal 5 binary64))))
(*.f64 v (*.f64 v #s(literal 5 binary64)))
(*.f64 #s(literal 5 binary64) (*.f64 v v))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(neg.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)))
(sqrt.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))))
(fabs.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)))
(fabs.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)))
(*.f64 (exp.f64 (log.f64 v)) (exp.f64 (log.f64 v)))
(*.f64 (neg.f64 v) (neg.f64 v))
(*.f64 (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 #s(literal 1 binary64) (*.f64 v v))
(pow.f64 (exp.f64 (log.f64 v)) #s(literal 2 binary64))
(pow.f64 (neg.f64 v) #s(literal 2 binary64))
(pow.f64 (*.f64 v v) #s(literal 1 binary64))
(pow.f64 v #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 v) v))
(sqrt.f64 (pow.f64 v #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 v) v))
(fabs.f64 (*.f64 v v))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 v))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 v) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 v)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 v) #s(literal 2 binary64))))

eval147.0ms (1.1%)

Memory
2.7MiB live, 148.6MiB allocated
Compiler

Compiled 14 273 to 1 943 computations (86.4% saved)

prune30.0ms (0.2%)

Memory
-14.0MiB live, 31.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5616567
Fresh000
Picked101
Done000
Total5626568
Accuracy
99.4%
Counts
568 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
99.3%
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.3%
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
99.3%
(acos.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
98.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
0.0%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
Compiler

Compiled 242 to 148 computations (38.8% saved)

simplify159.0ms (1.2%)

Memory
32.5MiB live, 171.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
cost-diff0
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
cost-diff0
(acos.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
cost-diff8
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
cost-diff0
(*.f64 v v)
cost-diff0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff0
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 v v))
cost-diff0
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
cost-diff0
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
cost-diff0
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
cost-diff0
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
cost-diff0
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033271
056247
1108247
2297247
31553247
08603247
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(literal -5 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(+.f64 v #s(literal 1 binary64))
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(fma.f64 (*.f64 v v) #s(literal 5 binary64) #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
#s(literal -5 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
#s(literal -5 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(+.f64 v #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) v)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)

localize431.0ms (3.2%)

Memory
-57.7MiB live, 450.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
accuracy0.0234375
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
accuracy0.0234375
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
accuracy0.4177986515029256
(acos.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
accuracy0.0
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
accuracy0.0
(*.f64 v v)
accuracy0.00390625
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy0.4177986515029256
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.0
(*.f64 v v)
accuracy0.014003759768442016
(*.f64 #s(literal 4 binary64) (*.f64 v v))
accuracy0.28542155993307083
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
accuracy0.4177986515029256
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
accuracy0.4177986515029256
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
accuracy53.16997208583395
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
accuracy0.0
(PI.f64)
accuracy0.00390625
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
accuracy0.0078125
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy59.251247658807976
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Samples
270.0ms123×3valid
52.0ms58×2valid
37.0ms68×1valid
2.0ms0valid
Compiler

Compiled 276 to 33 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 310.0ms
adjust: 107.0ms (34.6% of total)
ival-acos: 86.0ms (27.8% of total)
ival-div: 46.0ms (14.9% of total)
ival-sub: 36.0ms (11.6% of total)
ival-mult: 17.0ms (5.5% of total)
ival-add: 13.0ms (4.2% of total)
ival-pi: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
18 → 46
Calls
Call 1
Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
(acos.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
Outputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 4 (pow v 2))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(+ 1 (* -5 (pow v 2)))
(pow v 2)
(- v 1)
(- (* v (+ 1 (* 3 v))) 1)
(- (* v (+ 1 (* v (+ 3 (* -3 v))))) 1)
(+ 1 (* -1 v))
(+ 1 (* v (- (* -4 v) 1)))
(+ 1 (* v (- (* v (- (* 4 v) 4)) 1)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(/ -5 v)
(/ (- (* 5 (/ 1 v)) 5) v)
(/ (- (* 5 (/ 1 v)) (+ 5 (/ 9 (pow v 2)))) v)
(/ (- (+ (* 5 (/ 1 v)) (* 9 (/ 1 (pow v 3)))) (+ 5 (/ 9 (pow v 2)))) v)
(* -5 v)
(* v (- (* 5 (/ 1 v)) 5))
(* v (- (* 5 (/ 1 v)) (+ 5 (/ 4 (pow v 2)))))
(* v (- (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3)))) (+ 5 (/ 4 (pow v 2)))))
(* -1 (/ (- 5 (* 5 (/ 1 v))) v))
(* -1 (/ (+ 5 (* -1 (/ (- 5 (* 9 (/ 1 v))) v))) v))
(* -1 (/ (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 9 (* 9 (/ 1 v))) v))) v))) v))
(* -1 (* v (- 5 (* 5 (/ 1 v)))))
(* -1 (* v (+ 5 (* -1 (/ (- 5 (* 4 (/ 1 v))) v)))))
(* -1 (* v (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 4 (* 4 (/ 1 v))) v))) v)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
v
@inf
((- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1)) (acos (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1))) (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (/ (+ (* -5 (* v v)) 1) (+ v 1)))
2.0ms
v
@-inf
((- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1)) (acos (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1))) (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (/ (+ (* -5 (* v v)) 1) (+ v 1)))
1.0ms
v
@0
((- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (* 4 (* v v)) 1) (* 4 (* v v)) (acos (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1))) (/ (+ (* -5 (* v v)) 1) (+ (* v v) -1)) (+ (* -5 (* v v)) 1) (* v v) (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1)) (acos (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1))) (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (/ (+ (* -5 (* v v)) 1) (+ v 1)))

simplify156.0ms (1.2%)

Memory
-6.9MiB live, 187.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0153476
1445457
21270450
34645444
08156426
Stop Event
iter limit
node limit
Counts
46 → 46
Calls
Call 1
Inputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(* 4 (pow v 2))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(+ 1 (* -5 (pow v 2)))
(pow v 2)
(- v 1)
(- (* v (+ 1 (* 3 v))) 1)
(- (* v (+ 1 (* v (+ 3 (* -3 v))))) 1)
(+ 1 (* -1 v))
(+ 1 (* v (- (* -4 v) 1)))
(+ 1 (* v (- (* v (- (* 4 v) 4)) 1)))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(/ -5 v)
(/ (- (* 5 (/ 1 v)) 5) v)
(/ (- (* 5 (/ 1 v)) (+ 5 (/ 9 (pow v 2)))) v)
(/ (- (+ (* 5 (/ 1 v)) (* 9 (/ 1 (pow v 3)))) (+ 5 (/ 9 (pow v 2)))) v)
(* -5 v)
(* v (- (* 5 (/ 1 v)) 5))
(* v (- (* 5 (/ 1 v)) (+ 5 (/ 4 (pow v 2)))))
(* v (- (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3)))) (+ 5 (/ 4 (pow v 2)))))
(* -1 (/ (- 5 (* 5 (/ 1 v))) v))
(* -1 (/ (+ 5 (* -1 (/ (- 5 (* 9 (/ 1 v))) v))) v))
(* -1 (/ (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 9 (* 9 (/ 1 v))) v))) v))) v))
(* -1 (* v (- 5 (* 5 (/ 1 v)))))
(* -1 (* v (+ 5 (* -1 (/ (- 5 (* 4 (/ 1 v))) v)))))
(* -1 (* v (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 4 (* 4 (/ 1 v))) v))) v)))))
Outputs
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))
(* 4 (pow v 2))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ 1 (* -5 (pow v 2)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(pow v 2)
(*.f64 v v)
(- v 1)
(-.f64 v #s(literal 1 binary64))
(- (* v (+ 1 (* 3 v))) 1)
(fma.f64 (*.f64 #s(literal 3 binary64) v) v (-.f64 v #s(literal 1 binary64)))
(- (* v (+ 1 (* v (+ 3 (* -3 v))))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) v #s(literal 3 binary64)) v) v (-.f64 v #s(literal 1 binary64)))
(+ 1 (* -1 v))
(-.f64 #s(literal 1 binary64) v)
(+ 1 (* v (- (* -4 v) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal -4 binary64) v) #s(literal 1 binary64)) v #s(literal 1 binary64))
(+ 1 (* v (- (* v (- (* 4 v) 4)) 1)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) v) #s(literal 4 binary64)) v) #s(literal 1 binary64)) v #s(literal 1 binary64))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(-.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) v) v))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (pow.f64 v #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)))
(* (pow v 2) (- 4 (/ 1 (pow v 2))))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 v v))) v) v)
(* -5 (pow v 2))
(*.f64 #s(literal -5 binary64) (*.f64 v v))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) v) v)
(/ -5 v)
(/.f64 #s(literal -5 binary64) v)
(/ (- (* 5 (/ 1 v)) 5) v)
(/.f64 (-.f64 (/.f64 #s(literal 5 binary64) v) #s(literal 5 binary64)) v)
(/ (- (* 5 (/ 1 v)) (+ 5 (/ 9 (pow v 2)))) v)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 9 binary64) v)) v) #s(literal -5 binary64)) v)
(/ (- (+ (* 5 (/ 1 v)) (* 9 (/ 1 (pow v 3)))) (+ 5 (/ 9 (pow v 2)))) v)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 9 binary64) v)) v)) v) #s(literal -5 binary64)) v)
(* -5 v)
(*.f64 #s(literal -5 binary64) v)
(* v (- (* 5 (/ 1 v)) 5))
(*.f64 (-.f64 (/.f64 #s(literal 5 binary64) v) #s(literal 5 binary64)) v)
(* v (- (* 5 (/ 1 v)) (+ 5 (/ 4 (pow v 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) v)) v) #s(literal 5 binary64)) v)
(* v (- (+ (* 5 (/ 1 v)) (* 4 (/ 1 (pow v 3)))) (+ 5 (/ 4 (pow v 2)))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) v)) v)) v) #s(literal 5 binary64)) v)
(* -1 (/ (- 5 (* 5 (/ 1 v))) v))
(/.f64 (-.f64 (/.f64 #s(literal 5 binary64) v) #s(literal 5 binary64)) v)
(* -1 (/ (+ 5 (* -1 (/ (- 5 (* 9 (/ 1 v))) v))) v))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 9 binary64) v)) v) #s(literal -5 binary64)) v)
(* -1 (/ (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 9 (* 9 (/ 1 v))) v))) v))) v))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 9 binary64) v)) v)) v) #s(literal -5 binary64)) v)
(* -1 (* v (- 5 (* 5 (/ 1 v)))))
(*.f64 (-.f64 #s(literal -5 binary64) (/.f64 #s(literal -5 binary64) v)) v)
(* -1 (* v (+ 5 (* -1 (/ (- 5 (* 4 (/ 1 v))) v)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) v)) v) #s(literal -5 binary64)) v)
(* -1 (* v (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 4 (* 4 (/ 1 v))) v))) v)))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) v)) v)) v) #s(literal -5 binary64)) v)

rewrite236.0ms (1.8%)

Memory
6.1MiB live, 294.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033220
056211
1236211
21773211
08850211
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 088
Calls
Call 1
Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(*.f64 #s(literal 4 binary64) (*.f64 v v))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64)))
(acos.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64)))
Outputs
(/.f64 (+.f64 (pow.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (-.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (*.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (*.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(/.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)))
(/.f64 (-.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))
(-.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))))
(-.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) (/.f64 (pow.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 3 binary64)) (fma.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) #s(literal 2 binary64))) (asin.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))) (/.f64 (*.f64 (neg.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))) (+.f64 (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (PI.f64))))
(acos.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))) (cbrt.f64 (PI.f64)))
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(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (/.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) v)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 5 binary64) v)) v) (+.f64 #s(literal 1 binary64) v)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 v) (*.f64 #s(literal 5 binary64) v)) (+.f64 #s(literal 1 binary64) v)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))))
(fma.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 v #s(literal 1 binary64)) (-.f64 v #s(literal 1 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) (/.f64 #s(literal -5 binary64) (+.f64 #s(literal 1 binary64) v)) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(fma.f64 #s(literal -5 binary64) (/.f64 (*.f64 v v) (+.f64 #s(literal 1 binary64) v)) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (/.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)))
(-.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)) (/.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 v v) #s(literal -5 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -5 binary64) v)) v) (+.f64 #s(literal 1 binary64) v)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 v v)) #s(literal -5 binary64)) (+.f64 #s(literal 1 binary64) v)))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) v)))
(+.f64 (/.f64 (*.f64 (pow.f64 v #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -5 binary64) (+.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 v v) #s(literal -5 binary64)) (+.f64 #s(literal 1 binary64) v)) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal 2 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v))) (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (*.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) v))))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 125 binary64) (pow.f64 v #s(literal 6 binary64))) (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) v)) (/.f64 (pow.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (*.f64 v v) #s(literal 5 binary64))) (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 v v)) #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) v)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 5 binary64) v)) v) (+.f64 #s(literal 1 binary64) v)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 v) (*.f64 #s(literal 5 binary64) v)) (+.f64 #s(literal 1 binary64) v)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))))
(+.f64 (*.f64 (*.f64 #s(literal -5 binary64) v) (/.f64 v (+.f64 #s(literal 1 binary64) v))) (pow.f64 (+.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))

eval287.0ms (2.2%)

Memory
25.4MiB live, 346.4MiB allocated
Compiler

Compiled 43 515 to 4 969 computations (88.6% saved)

prune53.0ms (0.4%)

Memory
8.6MiB live, 99.4MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1 256121 268
Fresh101
Picked235
Done000
Total1 259151 274
Accuracy
99.4%
Counts
1 274 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
95.2%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.0%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.9%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
96.4%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.8%
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.3%
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.2%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
99.2%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
98.9%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
99.3%
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
99.3%
(acos.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))))
98.0%
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
98.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
97.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 622 to 402 computations (35.4% saved)

simplify141.0ms (1.1%)

Memory
-26.0MiB live, 161.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(PI.f64)
cost-diff0
(pow.f64 (PI.f64) #s(literal 3 binary64))
cost-diff0
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff3
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
cost-diff0
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff0
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
cost-diff0
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
cost-diff0
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
cost-diff0
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))
cost-diff0
(acos.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff8
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048401
081391
1151391
2429375
31999375
08981375
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(acos.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) v)
(*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -4 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v))
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
#s(literal -4 binary64)
(*.f64 v v)
v
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
Outputs
(acos.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))
(*.f64 (-.f64 #s(literal -1 binary64) v) (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) v)
(*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (fma.f64 v v #s(literal -1 binary64)) (-.f64 v #s(literal -1 binary64)))
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
#s(literal -4 binary64)
(*.f64 v v)
v
#s(literal 1 binary64)
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v)
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
#s(literal -4 binary64)
(*.f64 v v)
v
#s(literal 4 binary64)
#s(literal 1 binary64)
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(PI.f64)
(pow.f64 (PI.f64) #s(literal 3 binary64))
(PI.f64)
#s(literal 3 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(fma.f64 #s(literal 5 binary64) (*.f64 v v) #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))

localize392.0ms (2.9%)

Memory
23.4MiB live, 418.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy1.0
(pow.f64 (PI.f64) #s(literal 3 binary64))
accuracy1.0
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
accuracy59.251247658807976
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.014003759768442016
(*.f64 #s(literal -4 binary64) (*.f64 v v))
accuracy0.033535009768442016
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v))
accuracy0.07841207210749261
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
accuracy59.251247658807976
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
accuracy0.0
(PI.f64)
accuracy0.0078125
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
accuracy0.28542155993307083
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
accuracy59.251247658807976
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
accuracy0.4177986515029256
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
accuracy0.8275491510148079
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
accuracy0.01171875
(*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))
accuracy0.015625
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))
accuracy0.024101269536884032
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.4177986515029256
(acos.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))))
Samples
156.0ms123×3valid
127.0ms68×1valid
67.0ms58×2valid
2.0ms0valid
Compiler

Compiled 351 to 41 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 277.0ms
ival-acos: 135.0ms (48.6% of total)
adjust: 50.0ms (18% of total)
ival-mult: 30.0ms (10.8% of total)
ival-div: 19.0ms (6.8% of total)
ival-sub: 17.0ms (6.1% of total)
ival-add: 16.0ms (5.8% of total)
ival-pow: 5.0ms (1.8% of total)
ival-cbrt: 3.0ms (1.1% of total)
ival-pi: 2.0ms (0.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
-41.5MiB live, 12.8MiB allocated
Counts
20 → 45
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Outputs
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
1
(+ 1 v)
(+ 1 (* v (+ 1 (* -5 v))))
(+ 1 (* v (+ 1 (* v (- (* -5 v) 5)))))
(+ 1 (* -5 (pow v 2)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(- (* -1 v) 1)
(- (* v (- v 1)) 1)
(- (* v (- (* v (+ 1 v)) 1)) 1)
(* -4 (pow v 2))
(* (pow v 2) (- (* -4 (pow v 2)) 4))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* -5 (pow v 3))
(* -1 (* (pow v 3) (+ 5 (* 5 (/ 1 v)))))
(* (pow v 3) (- (/ 1 (pow v 2)) (+ 5 (* 5 (/ 1 v)))))
(* (pow v 3) (- (+ (/ 1 (pow v 2)) (/ 1 (pow v 3))) (+ 5 (* 5 (/ 1 v)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(pow v 3)
(* (pow v 3) (+ 1 (/ 1 v)))
(* (pow v 3) (- (+ 1 (/ 1 v)) (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 v)) (pow v 2))) (/ 1 v))))
(* -4 (pow v 4))
(* -1 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* -1 (* (pow v 3) (+ 5 (* -1 (/ (- (/ 1 v) 5) v)))))
(* -1 (* (pow v 3) (+ 5 (* -1 (/ (- (+ (/ 1 v) (/ 1 (pow v 2))) 5) v)))))
(* -1 (* (pow v 3) (- (* -1 (/ (- 1 (/ 1 v)) v)) 1)))
(* -1 (* (pow v 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 v)) v))) v)) 1)))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
v
@-inf
((/ (* (+ (* (* v v) -5) 1) (+ 1 v)) (* (+ 1 v) (+ (* v v) -1))) (acos (/ (* (+ (* (* v v) -5) 1) (+ 1 v)) (* (+ 1 v) (+ (* v v) -1)))) (* (+ (* (* v v) -5) 1) (+ 1 v)) (+ (* (* v v) -5) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (pow (PI) 3) (* (+ 1 v) (+ (* v v) -1)) (* (- (* -4 (* v v)) 4) (* v v)) (* -4 (* v v)) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))))
2.0ms
v
@inf
((/ (* (+ (* (* v v) -5) 1) (+ 1 v)) (* (+ 1 v) (+ (* v v) -1))) (acos (/ (* (+ (* (* v v) -5) 1) (+ 1 v)) (* (+ 1 v) (+ (* v v) -1)))) (* (+ (* (* v v) -5) 1) (+ 1 v)) (+ (* (* v v) -5) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (pow (PI) 3) (* (+ 1 v) (+ (* v v) -1)) (* (- (* -4 (* v v)) 4) (* v v)) (* -4 (* v v)) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))))
1.0ms
v
@0
((/ (* (+ (* (* v v) -5) 1) (+ 1 v)) (* (+ 1 v) (+ (* v v) -1))) (acos (/ (* (+ (* (* v v) -5) 1) (+ 1 v)) (* (+ 1 v) (+ (* v v) -1)))) (* (+ (* (* v v) -5) 1) (+ 1 v)) (+ (* (* v v) -5) 1) (acos (/ (- 1 (* 5 (* v v))) (- (* v v) 1))) (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (- (PI) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (cbrt (pow (PI) 3)) (- (cbrt (pow (PI) 3)) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (pow (PI) 3) (* (+ 1 v) (+ (* v v) -1)) (* (- (* -4 (* v v)) 4) (* v v)) (* -4 (* v v)) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))))

simplify167.0ms (1.3%)

Memory
4.1MiB live, 143.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135493
1390473
21385463
35573463
08316440
Stop Event
iter limit
node limit
Counts
45 → 45
Calls
Call 1
Inputs
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
1
(+ 1 v)
(+ 1 (* v (+ 1 (* -5 v))))
(+ 1 (* v (+ 1 (* v (- (* -5 v) 5)))))
(+ 1 (* -5 (pow v 2)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(- (* -1 v) 1)
(- (* v (- v 1)) 1)
(- (* v (- (* v (+ 1 v)) 1)) 1)
(* -4 (pow v 2))
(* (pow v 2) (- (* -4 (pow v 2)) 4))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(* -5 (pow v 3))
(* -1 (* (pow v 3) (+ 5 (* 5 (/ 1 v)))))
(* (pow v 3) (- (/ 1 (pow v 2)) (+ 5 (* 5 (/ 1 v)))))
(* (pow v 3) (- (+ (/ 1 (pow v 2)) (/ 1 (pow v 3))) (+ 5 (* 5 (/ 1 v)))))
(* -5 (pow v 2))
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(pow v 3)
(* (pow v 3) (+ 1 (/ 1 v)))
(* (pow v 3) (- (+ 1 (/ 1 v)) (/ 1 (pow v 2))))
(* (pow v 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 v)) (pow v 2))) (/ 1 v))))
(* -4 (pow v 4))
(* -1 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* -1 (* (pow v 3) (+ 5 (* -1 (/ (- (/ 1 v) 5) v)))))
(* -1 (* (pow v 3) (+ 5 (* -1 (/ (- (+ (/ 1 v) (/ 1 (pow v 2))) 5) v)))))
(* -1 (* (pow v 3) (- (* -1 (/ (- 1 (/ 1 v)) v)) 1)))
(* -1 (* (pow v 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 v)) v))) v)) 1)))
Outputs
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(-.f64 (*.f64 (*.f64 v v) #s(literal 4 binary64)) #s(literal 1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(-.f64 (*.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64)))) #s(literal 1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 v)
(+.f64 #s(literal 1 binary64) v)
(+ 1 (* v (+ 1 (* -5 v))))
(fma.f64 (fma.f64 #s(literal -5 binary64) v #s(literal 1 binary64)) v #s(literal 1 binary64))
(+ 1 (* v (+ 1 (* v (- (* -5 v) 5)))))
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -5 binary64) v) #s(literal 5 binary64)) v #s(literal 1 binary64)) v #s(literal 1 binary64))
(+ 1 (* -5 (pow v 2)))
(fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal -5 binary64) v) v #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) v) v) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(- (* -1 v) 1)
(-.f64 (neg.f64 v) #s(literal 1 binary64))
(- (* v (- v 1)) 1)
(-.f64 (*.f64 (-.f64 v #s(literal 1 binary64)) v) #s(literal 1 binary64))
(- (* v (- (* v (+ 1 v)) 1)) 1)
(-.f64 (*.f64 (fma.f64 v v (-.f64 v #s(literal 1 binary64))) v) #s(literal 1 binary64))
(* -4 (pow v 2))
(*.f64 (*.f64 #s(literal -4 binary64) v) v)
(* (pow v 2) (- (* -4 (pow v 2)) 4))
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) v) v) #s(literal 4 binary64)) (*.f64 v v))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (pow.f64 v #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)))
(* -5 (pow v 3))
(*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -5 binary64))
(* -1 (* (pow v 3) (+ 5 (* 5 (/ 1 v)))))
(*.f64 (*.f64 (fma.f64 v v v) v) #s(literal -5 binary64))
(* (pow v 3) (- (/ 1 (pow v 2)) (+ 5 (* 5 (/ 1 v)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 5 binary64)) v) #s(literal 5 binary64)) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (- (+ (/ 1 (pow v 2)) (/ 1 (pow v 3))) (+ 5 (* 5 (/ 1 v)))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64))) #s(literal 5 binary64)) (/.f64 #s(literal 5 binary64) v)) (pow.f64 v #s(literal 3 binary64)) v)
(* -5 (pow v 2))
(*.f64 (*.f64 #s(literal -5 binary64) v) v)
(* (pow v 2) (- (/ 1 (pow v 2)) 5))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 v v)) #s(literal 5 binary64)) v) v)
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 5 binary64)))
(pow v 3)
(pow.f64 v #s(literal 3 binary64))
(* (pow v 3) (+ 1 (/ 1 v)))
(*.f64 (fma.f64 v v v) v)
(* (pow v 3) (- (+ 1 (/ 1 v)) (/ 1 (pow v 2))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) v) #s(literal 1 binary64)) (pow.f64 v #s(literal 3 binary64)))
(* (pow v 3) (+ 1 (+ (* -1 (/ (+ 1 (/ 1 v)) (pow v 2))) (/ 1 v))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) v)) v) #s(literal 1 binary64)) (pow.f64 v #s(literal 3 binary64)))
(* -4 (pow v 4))
(*.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal -4 binary64))
(* -1 (* (pow v 4) (+ 4 (* 4 (/ 1 (pow v 2))))))
(*.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (pow.f64 v #s(literal 4 binary64)))
(* -1 (* (pow v 3) (+ 5 (* -1 (/ (- (/ 1 v) 5) v)))))
(fma.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -5 binary64) (*.f64 (fma.f64 #s(literal -5 binary64) v #s(literal 1 binary64)) v))
(* -1 (* (pow v 3) (+ 5 (* -1 (/ (- (+ (/ 1 v) (/ 1 (pow v 2))) 5) v)))))
(*.f64 (+.f64 (/.f64 (+.f64 #s(literal -5 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) v)) v) #s(literal -5 binary64)) (pow.f64 v #s(literal 3 binary64)))
(* -1 (* (pow v 3) (- (* -1 (/ (- 1 (/ 1 v)) v)) 1)))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) (neg.f64 v)) #s(literal 1 binary64)))
(* -1 (* (pow v 3) (- (* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 v)) v))) v)) 1)))
(*.f64 (pow.f64 (neg.f64 v) #s(literal 3 binary64)) (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) v) #s(literal -1 binary64)) v) #s(literal 1 binary64)))

rewrite215.0ms (1.6%)

Memory
29.6MiB live, 367.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048299
081287
1335286
22596286
08640286
Stop Event
iter limit
node limit
iter limit
Counts
20 → 809
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
#s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(PI.f64)
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (-.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 v v #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (-.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 v v #s(literal 1 binary64)) (pow.f64 v #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (+.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 v #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 v v))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) v) (+.f64 #s(literal 1 binary64) v)))
(*.f64 (+.f64 #s(literal 1 binary64) v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v))))
(*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (+.f64 #s(literal 1 binary64) v))) (neg.f64 (-.f64 v #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) v #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))))) (fma.f64 #s(literal -1 binary64) v #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))) (neg.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))) (neg.f64 (+.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 5 binary64) v) v)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -125 binary64) (pow.f64 v #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) v)))) (neg.f64 (fma.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 1 binary64) v))) (neg.f64 (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) v) (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))))) (neg.f64 (neg.f64 (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) v #s(literal -1 binary64)) (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) v))) (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal 1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 25 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -5 binary64) (*.f64 v v)) #s(literal 1 binary64)) (*.f64 (fma.f64 v v #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) v)))))
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eval188.0ms (1.4%)

Memory
11.5MiB live, 196.5MiB allocated
Compiler

Compiled 41 090 to 3 791 computations (90.8% saved)

prune34.0ms (0.3%)

Memory
13.4MiB live, 58.0MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New89510905
Fresh257
Picked325
Done033
Total90020920
Accuracy
99.4%
Counts
920 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
96.2%
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
95.9%
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
94.7%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
97.0%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.9%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.4%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
96.4%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
96.2%
(-.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
95.9%
(-.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
97.8%
(-.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.0%
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.3%
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.2%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
98.9%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
99.3%
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.0%
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
99.2%
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
98.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
97.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Compiler

Compiled 947 to 630 computations (33.5% saved)

simplify229.0ms (1.7%)

Memory
-50.3MiB live, 102.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (PI.f64) #s(literal 2 binary64))
cost-diff0
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
cost-diff0
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
cost-diff0
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
cost-diff0
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
cost-diff0
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff2
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
cost-diff3
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
cost-diff0
(PI.f64)
cost-diff0
(sqrt.f64 (PI.f64))
cost-diff0
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
cost-diff4
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
cost-diff0
(-.f64 v #s(literal 1 binary64))
cost-diff0
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64)))
cost-diff0
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
cost-diff0
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
cost-diff0
(neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
cost-diff0
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058519
099496
1171496
2410496
31585496
46652496
08209496
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v)
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v)
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
#s(literal -4 binary64)
(*.f64 v v)
v
#s(literal 4 binary64)
#s(literal 1 binary64)
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64)))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))
(-.f64 v #s(literal 1 binary64))
v
#s(literal 1 binary64)
(+.f64 v #s(literal 1 binary64))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(sqrt.f64 (PI.f64))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
(log.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
Outputs
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
(neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v)
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v) v)
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v)
(*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v)
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64))
(-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
(*.f64 (*.f64 v v) #s(literal -4 binary64))
#s(literal -4 binary64)
(*.f64 v v)
v
#s(literal 4 binary64)
#s(literal 1 binary64)
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 (*.f64 (-.f64 v #s(literal -1 binary64)) #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64)))
(*.f64 (-.f64 v #s(literal -1 binary64)) #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))
(-.f64 v #s(literal 1 binary64))
v
#s(literal 1 binary64)
(+.f64 v #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) v)
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(PI.f64)
(sqrt.f64 (PI.f64))
(PI.f64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(PI.f64)
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (log.f64 (PI.f64)))
(log.f64 (PI.f64))
(PI.f64)
#s(literal 3 binary64)
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 5 binary64) v) v #s(literal -1 binary64))
(*.f64 v #s(literal 5 binary64))
(*.f64 #s(literal 5 binary64) v)
v
#s(literal 5 binary64)
#s(literal -1 binary64)
(fma.f64 v v #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (-.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(PI.f64)
#s(literal 2 binary64)
(pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))
(fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64))
(*.f64 v v)
v
#s(literal -5 binary64)
#s(literal 1 binary64)
(fma.f64 v v #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64)))

localize621.0ms (4.7%)

Memory
22.0MiB live, 457.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.40234375
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
accuracy0.46054902941913717
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy58.55024863171355
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
accuracy58.56758164533949
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy0.0078125
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy1.0
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
accuracy1.58496250072115
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
accuracy59.251247658807976
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.0078125
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
accuracy1.0
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
accuracy1.0
(sqrt.f64 (PI.f64))
accuracy59.251247658807976
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
accuracy0.0
(+.f64 v #s(literal 1 binary64))
accuracy0.0234375
(*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64)))
accuracy0.4177986515029256
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
accuracy0.814668183792325
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))
accuracy0.014003759768442016
(*.f64 #s(literal -4 binary64) (*.f64 v v))
accuracy0.0234375
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v)
accuracy0.07841207210749261
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
accuracy0.4177986515029256
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
Samples
307.0ms122×3valid
118.0ms59×2valid
73.0ms68×1valid
3.0ms0valid
Compiler

Compiled 494 to 54 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 350.0ms
adjust: 84.0ms (24% of total)
ival-div: 60.0ms (17.1% of total)
ival-mult: 55.0ms (15.7% of total)
ival-acos: 50.0ms (14.3% of total)
ival-add: 21.0ms (6% of total)
ival-asin: 20.0ms (5.7% of total)
ival-pow2: 15.0ms (4.3% of total)
ival-sub: 15.0ms (4.3% of total)
ival-log: 8.0ms (2.3% of total)
ival-exp: 7.0ms (2% of total)
ival-neg: 4.0ms (1.1% of total)
ival-sqrt: 4.0ms (1.1% of total)
ival-cbrt: 4.0ms (1.1% of total)
ival-pi: 2.0ms (0.6% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
26 → 53
Calls
Call 1
Inputs
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64)))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))
(-.f64 v #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(sqrt.f64 (PI.f64))
(PI.f64)
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v)
(*.f64 #s(literal -4 binary64) (*.f64 v v))
(+.f64 v #s(literal 1 binary64))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Outputs
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(- v 1)
(- (* v (+ 1 (* 3 v))) 1)
(- (* v (+ 1 (* v (+ 3 (* -3 v))))) 1)
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(* -4 v)
(* v (- (* -4 (pow v 2)) 4))
(* -4 (pow v 2))
(+ 1 v)
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(* -4 (pow v 6))
(* -1 (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(/ -5 v)
(/ (- (* 5 (/ 1 v)) 5) v)
(/ (- (* 5 (/ 1 v)) (+ 5 (/ 9 (pow v 2)))) v)
(/ (- (+ (* 5 (/ 1 v)) (* 9 (/ 1 (pow v 3)))) (+ 5 (/ 9 (pow v 2)))) v)
v
(* v (- 1 (/ 1 v)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(* -4 (pow v 3))
(* -1 (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* v (+ 1 (/ 1 v)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(* -1 (/ (- 5 (* 5 (/ 1 v))) v))
(* -1 (/ (+ 5 (* -1 (/ (- 5 (* 9 (/ 1 v))) v))) v))
(* -1 (/ (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 9 (* 9 (/ 1 v))) v))) v))) v))
(* -1 (* v (- (/ 1 v) 1)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
v
@0
((acos (neg (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (neg (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (+ (* (- (* (* (- (* -4 (* v v)) 4) v) v) 4) (* v v)) 1) (acos (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1))) (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1)) (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (- v 1) (* (sqrt (PI)) (sqrt (PI))) (- (* (sqrt (PI)) (sqrt (PI))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (sqrt (PI)) (PI) (cbrt (exp (* (log (PI)) 3))) (exp (* (log (PI)) 3)) (- (cbrt (exp (* (log (PI)) 3))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (* (log (PI)) 3) (/ (- (pow (/ (PI) 2) 2) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (- (pow (/ (PI) 2) 2) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (pow (/ (PI) 2) 2) (/ (PI) 2) (* (- (* -4 (* v v)) 4) v) (* -4 (* v v)) (+ v 1) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))
3.0ms
v
@inf
((acos (neg (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (neg (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (+ (* (- (* (* (- (* -4 (* v v)) 4) v) v) 4) (* v v)) 1) (acos (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1))) (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1)) (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (- v 1) (* (sqrt (PI)) (sqrt (PI))) (- (* (sqrt (PI)) (sqrt (PI))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (sqrt (PI)) (PI) (cbrt (exp (* (log (PI)) 3))) (exp (* (log (PI)) 3)) (- (cbrt (exp (* (log (PI)) 3))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (* (log (PI)) 3) (/ (- (pow (/ (PI) 2) 2) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (- (pow (/ (PI) 2) 2) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (pow (/ (PI) 2) 2) (/ (PI) 2) (* (- (* -4 (* v v)) 4) v) (* -4 (* v v)) (+ v 1) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))
2.0ms
v
@-inf
((acos (neg (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (neg (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (+ (* (- (* (* (- (* -4 (* v v)) 4) v) v) 4) (* v v)) 1) (acos (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1))) (* (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (+ v 1)) (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (- v 1) (* (sqrt (PI)) (sqrt (PI))) (- (* (sqrt (PI)) (sqrt (PI))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (sqrt (PI)) (PI) (cbrt (exp (* (log (PI)) 3))) (exp (* (log (PI)) 3)) (- (cbrt (exp (* (log (PI)) 3))) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)))) (* (log (PI)) 3) (/ (- (pow (/ (PI) 2) 2) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (- (pow (/ (PI) 2) 2) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (pow (/ (PI) 2) 2) (/ (PI) 2) (* (- (* -4 (* v v)) 4) v) (* -4 (* v v)) (+ v 1) (acos (/ (+ (* (* v 5) v) -1) (+ (* v v) -1))) (+ (/ (PI) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1)))) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))

simplify241.0ms (1.8%)

Memory
-15.2MiB live, 125.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0150645
1419631
21182627
34224623
08443582
Stop Event
iter limit
node limit
Counts
53 → 52
Calls
Call 1
Inputs
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
-1
(- (* 4 (pow v 2)) 1)
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
1
(+ 1 (* -4 (pow v 2)))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(- v 1)
(- (* v (+ 1 (* 3 v))) 1)
(- (* v (+ 1 (* v (+ 3 (* -3 v))))) 1)
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(* -4 v)
(* v (- (* -4 (pow v 2)) 4))
(* -4 (pow v 2))
(+ 1 v)
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
-5
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
5
(+ 5 (* 4 (/ 1 (pow v 2))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(* -4 (pow v 6))
(* -1 (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* (pow v 6) (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(/ -5 v)
(/ (- (* 5 (/ 1 v)) 5) v)
(/ (- (* 5 (/ 1 v)) (+ 5 (/ 9 (pow v 2)))) v)
(/ (- (+ (* 5 (/ 1 v)) (* 9 (/ 1 (pow v 3)))) (+ 5 (/ 9 (pow v 2)))) v)
v
(* v (- 1 (/ 1 v)))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(* -4 (pow v 3))
(* -1 (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2))))))
(* v (+ 1 (/ 1 v)))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(* -1 (/ (- 5 (* 5 (/ 1 v))) v))
(* -1 (/ (+ 5 (* -1 (/ (- 5 (* 9 (/ 1 v))) v))) v))
(* -1 (/ (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 9 (* 9 (/ 1 v))) v))) v))) v))
(* -1 (* v (- (/ 1 v) 1)))
Outputs
(acos (- (/ 1 (- (pow v 2) 1)) (* 5 (/ (pow v 2) (- (pow v 2) 1)))))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* 4 (pow v 2)) 1)
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))
(- (* (pow v 2) (+ 4 (* 4 (pow v 2)))) 1)
(-.f64 (*.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64)) #s(literal 1 binary64))
(- (* (pow v 2) (+ 4 (* (pow v 2) (+ 4 (* 4 (pow v 2)))))) 1)
(-.f64 (*.f64 (fma.f64 (fma.f64 v v (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -4 (pow v 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* -4 (pow v 2)) 4)))
(fma.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(+ 1 (* (pow v 2) (- (* (pow v 2) (- (* -4 (pow v 2)) 4)) 4)))
(fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(acos (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(- v 1)
(-.f64 v #s(literal 1 binary64))
(- (* v (+ 1 (* 3 v))) 1)
(fma.f64 (*.f64 #s(literal 3 binary64) v) v (-.f64 v #s(literal 1 binary64)))
(- (* v (+ 1 (* v (+ 3 (* -3 v))))) 1)
(fma.f64 (*.f64 (fma.f64 #s(literal -3 binary64) v #s(literal 3 binary64)) v) v (-.f64 v #s(literal 1 binary64)))
(- (PI) (acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(* -4 v)
(*.f64 #s(literal -4 binary64) v)
(* v (- (* -4 (pow v 2)) 4))
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v)
(* -4 (pow v 2))
(*.f64 #s(literal -4 binary64) (*.f64 v v))
(+ 1 v)
(-.f64 v #s(literal -1 binary64))
(acos (/ (- (* 5 (pow v 2)) 1) (- (pow v 2) 1)))
(acos.f64 (/.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal 5 binary64)) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+ (asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin (/ (+ 1 (* -5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
-5
#s(literal -5 binary64)
(* -1 (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 #s(literal -5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 5)
(+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 5 binary64)))
(- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 4))) (+ 5 (* 4 (/ 1 (pow v 2)))))
(-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (pow.f64 v #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64)))
5
#s(literal 5 binary64)
(+ 5 (* 4 (/ 1 (pow v 2))))
(+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 5 binary64))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))
(-.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 v v)))
(+ 5 (+ (* 4 (/ 1 (pow v 2))) (+ (* 4 (/ 1 (pow v 6))) (/ 4 (pow v 4)))))
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 v #s(literal 6 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 5 binary64)))
(* -4 (pow v 6))
(*.f64 (pow.f64 v #s(literal 6 binary64)) #s(literal -4 binary64))
(* -1 (* (pow v 6) (+ 4 (* 4 (/ 1 (pow v 2))))))
(*.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (* -1 (/ (+ 4 (* 4 (/ 1 (pow v 2)))) (pow v 2))) 4))
(*.f64 (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 v v)) (-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 v #s(literal 4 binary64))) #s(literal 4 binary64))) (pow.f64 v #s(literal 6 binary64)))
(* (pow v 6) (- (/ 1 (pow v 6)) (+ 4 (+ (* 4 (/ 1 (pow v 2))) (/ 4 (pow v 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 6 binary64))) #s(literal 4 binary64)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v)) (pow.f64 v #s(literal 6 binary64)))
(acos (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(acos.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(/ -5 v)
(/.f64 #s(literal -5 binary64) v)
(/ (- (* 5 (/ 1 v)) 5) v)
(/.f64 (-.f64 (/.f64 #s(literal 5 binary64) v) #s(literal 5 binary64)) v)
(/ (- (* 5 (/ 1 v)) (+ 5 (/ 9 (pow v 2)))) v)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 9 binary64) v)) v) #s(literal -5 binary64)) v)
(/ (- (+ (* 5 (/ 1 v)) (* 9 (/ 1 (pow v 3)))) (+ 5 (/ 9 (pow v 2)))) v)
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 9 binary64) v)) v)) v) #s(literal -5 binary64)) v)
v
(* v (- 1 (/ 1 v)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) v)) v)
(/ (- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2)) (+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(- (* 1/4 (pow (PI) 2)) (pow (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) 2))
(-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(* -4 (pow v 3))
(*.f64 (pow.f64 v #s(literal 3 binary64)) #s(literal -4 binary64))
(* -1 (* (pow v 3) (+ 4 (* 4 (/ 1 (pow v 2))))))
(*.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) (*.f64 v v))) (pow.f64 v #s(literal 3 binary64)))
(* v (+ 1 (/ 1 v)))
(-.f64 v #s(literal -1 binary64))
(+ (asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1))) (* 1/2 (PI)))
(fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin (/ (- 1 (* 5 (pow v 2))) (- (pow v 2) 1)))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(* -1 (/ (- 5 (* 5 (/ 1 v))) v))
(/.f64 (-.f64 (/.f64 #s(literal 5 binary64) v) #s(literal 5 binary64)) v)
(* -1 (/ (+ 5 (* -1 (/ (- 5 (* 9 (/ 1 v))) v))) v))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 #s(literal 9 binary64) v)) v) #s(literal -5 binary64)) v)
(* -1 (/ (+ 5 (* -1 (/ (+ 5 (* -1 (/ (- 9 (* 9 (/ 1 v))) v))) v))) v))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 5 binary64) (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 9 binary64) v)) v)) v) #s(literal -5 binary64)) v)
(* -1 (* v (- (/ 1 v) 1)))
(*.f64 (neg.f64 v) (-.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)))

rewrite405.0ms (3%)

Memory
-3.6MiB live, 192.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058365
099342
1362315
22435315
08467315
Stop Event
iter limit
node limit
iter limit
Counts
26 → 613
Calls
Call 1
Inputs
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))))
#s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64)))
#s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))
(-.f64 v #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(sqrt.f64 (PI.f64))
(PI.f64)
(cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (PI.f64) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v)
(*.f64 #s(literal -4 binary64) (*.f64 v v))
(+.f64 v #s(literal 1 binary64))
(acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Outputs
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(/.f64 (neg.f64 (-.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 v v) #s(literal -4 binary64)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))))
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(+.f64 (cosh.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))) (sinh.f64 (log.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))

eval287.0ms (2.2%)

Memory
17.2MiB live, 156.3MiB allocated
Compiler

Compiled 30 514 to 2 522 computations (91.7% saved)

prune59.0ms (0.4%)

Memory
-33.3MiB live, 59.2MiB allocated
Pruning

22 alts after pruning (13 fresh and 9 done)

PrunedKeptTotal
New6336639
Fresh3710
Picked145
Done055
Total63722659
Accuracy
99.4%
Counts
659 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
2.6%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.7%
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
2.6%
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
95.9%
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
94.7%
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
97.9%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.4%
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
96.4%
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
96.2%
(-.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
95.9%
(-.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
97.8%
(-.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
97.0%
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
99.3%
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
98.9%
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
98.0%
(acos.f64 (fma.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) v #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))))
99.3%
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
98.0%
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
99.2%
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
99.2%
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(approx (* (- (* -4 (* v v)) 4) v) (*.f64 #s(literal -4 binary64) v)) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
98.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
97.9%
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
2.6%
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
Compiler

Compiled 1 862 to 638 computations (65.7% saved)

regimes40.0ms (0.3%)

Memory
-9.5MiB live, 47.2MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 (fma.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) v #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(approx (* (- (* -4 (* v v)) 4) v) (*.f64 #s(literal -4 binary64) v)) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (/.f64 (*.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) v)) (*.f64 (+.f64 #s(literal 1 binary64) v) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (+.f64 v #s(literal 1 binary64))) (fma.f64 v v #s(literal -1 binary64))) (+.f64 v #s(literal 1 binary64))))
(-.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
#s(approx (/ (- (pow (/ (PI) 2) 2) (pow (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))) 2)) (+ (/ (PI) 2) (asin (/ (+ (* (* v v) -5) 1) (+ (* v v) -1))))) (/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (PI.f64) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (cbrt.f64 (exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(-.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) (cbrt.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 6 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (pow.f64 (*.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) (/.f64 (PI.f64) #s(literal -2 binary64))) #s(literal 2 binary64)))) (+.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 (*.f64 v v) #s(literal -5 binary64) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (asin.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 2 binary64))) (acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))))
Outputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
Calls

4 calls:

15.0ms
(*.f64 v v)
8.0ms
v
6.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
6.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.3%1(*.f64 v v)
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.3%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.3%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes11.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 (fma.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) v #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(approx (* (- (* -4 (* v v)) 4) v) (*.f64 #s(literal -4 binary64) v)) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Outputs
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
Calls

4 calls:

3.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.3%1(*.f64 v v)
99.3%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.3%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.3%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes10.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 (fma.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) v #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(approx (* (- (* -4 (* v v)) 4) v) (*.f64 #s(literal -4 binary64) v)) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 v v)) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) v) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
Outputs
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(approx (* (- (* -4 (* v v)) 4) v) (*.f64 #s(literal -4 binary64) v)) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
Calls

4 calls:

3.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.2%1(*.f64 v v)
99.2%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
99.2%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
99.2%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes8.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 (fma.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) v #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
Outputs
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
Calls

4 calls:

2.0ms
v
2.0ms
(*.f64 v v)
2.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.9%1(*.f64 v v)
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.9%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.9%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes11.0ms (0.1%)

Memory
-32.5MiB live, 14.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 (fma.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) v #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
Calls

4 calls:

6.0ms
v
2.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.9%1(*.f64 v v)
98.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.9%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.9%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes6.0ms (0%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 (fma.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) v #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64)))))
Outputs
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
Calls

4 calls:

2.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.0%1(*.f64 v v)
98.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
98.0%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
98.0%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes5.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
Calls

4 calls:

1.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
97.9%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
97.9%1(*.f64 v v)
97.9%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
97.9%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

regimes4.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
Outputs
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
Calls

4 calls:

1.0ms
v
1.0ms
(*.f64 v v)
1.0ms
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
1.0ms
(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
0.0%1(acos.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64))))
0.0%1(*.f64 v v)
0.0%1(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 5 binary64) (*.f64 v v))) (-.f64 (*.f64 v v) #s(literal 1 binary64)))
0.0%1v
Compiler

Compiled 31 to 20 computations (35.5% saved)

simplify63.0ms (0.5%)

Memory
-10.0MiB live, 83.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061167
1114167
2274167
31131167
45469167
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(approx (* (- (* -4 (* v v)) 4) v) (*.f64 #s(literal -4 binary64) v)) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))
Outputs
(-.f64 (PI.f64) (acos.f64 (/.f64 (fma.f64 (*.f64 v #s(literal 5 binary64)) v #s(literal -1 binary64)) (fma.f64 v v #s(literal -1 binary64)))))
(acos.f64 (/.f64 (fma.f64 #s(literal -5 binary64) (*.f64 v v) #s(literal 1 binary64)) (fma.f64 v v #s(literal -1 binary64))))
(acos.f64 (neg.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 (-.f64 (*.f64 #s(approx (* (- (* -4 (* v v)) 4) v) (*.f64 #s(literal -4 binary64) v)) v) #s(literal 4 binary64)) (*.f64 v v) #s(literal 1 binary64)))))
(-.f64 (PI.f64) (acos.f64 #s(approx (/ (+ (* (* v 5) v) -1) (+ (* v v) -1)) (fma.f64 #s(literal -4 binary64) (*.f64 v v) #s(literal 1 binary64)))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 v v)) #s(literal 1 binary64))))
(acos.f64 (*.f64 #s(approx (/ (/ (+ (* -5 (* v v)) 1) (+ v 1)) (+ (* v v) -1)) (-.f64 v #s(literal 1 binary64))) (+.f64 v #s(literal 1 binary64))))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -1 binary64)))
(acos.f64 #s(approx (/ (- 1 (* 5 (* v v))) (- (* v v) 1)) #s(literal -5 binary64)))

soundness1.6s (11.9%)

Memory
58.2MiB live, 1 002.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0947
01547
16747
250047
3652447
0813241
0150645
1419631
21182627
34224623
08443582
048299
081287
1335286
22596286
08640286
0153476
1445457
21270450
34645444
08156426
039145
1106142
2324138
31271138
45712136
08293130
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 272 to 138 computations (49.3% saved)

preprocess39.0ms (0.3%)

Memory
31.8MiB live, 78.0MiB allocated
Remove

(abs v)

Compiler

Compiled 390 to 172 computations (55.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...