x / (x^2 + 1)

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample703.0ms (10.3%)

Memory
13.7MiB live, 629.3MiB allocated
Samples
327.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 194.0ms
ival-mult: 82.0ms (42.3% of total)
ival-div: 56.0ms (28.9% of total)
ival-add: 42.0ms (21.7% of total)
ival-true: 6.0ms (3.1% of total)
exact: 6.0ms (3.1% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain65.0ms (0.9%)

Memory
17.2MiB live, 94.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
500-0-(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))n/o500
(*.f64 x x)overflow50
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow50
Confusion
Predicted +Predicted -
+500
-0206
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5000
-00206
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0206
150
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
21.0ms512×0valid
Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.5% of total)
ival-mult: 4.0ms (36.5% of total)
ival-add: 2.0ms (18.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess57.0ms (0.8%)

Memory
-16.4MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
12615
26214
312814
423214
533114
634414
734614
835014
057
087
1117
0116
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Symmetry

(negabs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
cost-diff1
(+.f64 (*.f64 x x) #s(literal 1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
0817
11117
01115
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)

localize14.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy11.644661990377287
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Samples
10.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (38.2% of total)
ival-mult: 2.0ms (38.2% of total)
ival-add: 1.0ms (19.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.5MiB live, 3.4MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((+ (* x x) 1) (/ x (+ (* x x) 1)) (* x x))
1.0ms
x
@0
((+ (* x x) 1) (/ x (+ (* x x) 1)) (* x x))
1.0ms
x
@-inf
((+ (* x x) 1) (/ x (+ (* x x) 1)) (* x x))

simplify170.0ms (2.5%)

Memory
-15.4MiB live, 185.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045149
1131147
2314139
3887135
42406133
55739133
67796133
08040127
Stop Event
iter limit
node limit
Counts
15 → 14
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x)

rewrite190.0ms (2.8%)

Memory
-5.1MiB live, 184.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
13315
220215
3176815
0862813
Stop Event
iter limit
node limit
iter limit
Counts
3 → 327
Calls
Call 1
Inputs
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 x x)
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
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(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))))
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) x)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x))
(/.f64 (neg.f64 x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (*.f64 x (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval48.0ms (0.7%)

Memory
-0.3MiB live, 72.8MiB allocated
Compiler

Compiled 7 652 to 1 078 computations (85.9% saved)

prune8.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3316337
Fresh000
Picked101
Done000
Total3326338
Accuracy
100.0%
Counts
338 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
81.8%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
53.9%
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
81.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
53.7%
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
49.1%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 154 to 94 computations (39% saved)

simplify415.0ms (6.1%)

Memory
2.4MiB live, 164.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff1
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x)))
cost-diff3
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
cost-diff5
(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff11
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
cost-diff0
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
cost-diff0
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
022143
036111
176108
2184106
3685104
42427104
55109104
08161104
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
x
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
#s(literal 1 binary64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(fma.f64 x x #s(literal 1 binary64))
x
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 0 binary64)
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
#s(literal -1 binary64)
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
x
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
x
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(literal 1 binary64)
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(fma.f64 x x #s(literal 1 binary64))
x
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x)))
(neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
#s(literal -1 binary64)
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))

localize75.0ms (1.1%)

Memory
3.6MiB live, 130.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.05078125
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
accuracy0.08822250976844201
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy12.304618698540708
(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy21.320055795501116
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.078125
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy11.595406314210576
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
accuracy11.644661990377287
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
accuracy29.340725000986343
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy32.56643785927406
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy11.644661990377287
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Samples
40.0ms256×0valid
Compiler

Compiled 157 to 20 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 13.0ms (45.9% of total)
ival-div: 8.0ms (28.3% of total)
ival-add: 5.0ms (17.7% of total)
ival-sub: 1.0ms (3.5% of total)
ival-neg: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-21.7MiB live, 13.3MiB allocated
Counts
13 → 31
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
1
(+ 1 (pow x 2))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
0
(* x (+ 1 (pow x 2)))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 2)) 1)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 1))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@0
((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)))
2.0ms
x
@-inf
((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)))
1.0ms
x
@inf
((/ x (+ (* x x) 1)) (+ (* x x) 1) (/ x (+ (* x x) 1)) (/ 1 x) (/ x (+ (* x x) 1)) (+ (* x x) 1) (/ 1 (/ (+ (* x x) 1) x)) (/ (+ (* x x) 1) x) (/ (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x)) (- (* 0 (+ (* x x) 1)) (* (+ (* (neg x) x) -1) (neg x))) (* (+ (* (neg x) x) -1) (+ (* x x) 1)))

simplify494.0ms (7.2%)

Memory
20.0MiB live, 246.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073257
1213240
2531234
32233224
47330224
08066214
Stop Event
iter limit
node limit
Counts
31 → 30
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
1
(+ 1 (pow x 2))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
0
(* x (+ 1 (pow x 2)))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 2)) 1)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 1))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (pow x 2)) x)
(-.f64 x (/.f64 #s(literal -1 binary64) x))
0
#s(literal 0 binary64)
(* x (+ 1 (pow x 2)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (pow x 2)) 1))
(neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -1 (pow x 2)) 2)) 1)
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal -2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* x (+ 1 (/ 1 (pow x 2))))
(-.f64 x (/.f64 #s(literal -1 binary64) x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (/ 1 (pow x 2)))))
(neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -2 binary64)) x) x)
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))

rewrite424.0ms (6.2%)

Memory
4.1MiB live, 318.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022116
03684
114981
2107975
0934775
Stop Event
iter limit
node limit
iter limit
Counts
13 → 2 425
Calls
Call 1
Inputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64)))) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) x)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 2 binary64))) (neg.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)) (neg.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)) (neg.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 3 binary64)) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (neg.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) (neg.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))
(+.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(+.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x))
(+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x))
(+.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(+.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(+.f64 (neg.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (neg.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))

eval547.0ms (8%)

Memory
30.3MiB live, 372.1MiB allocated
Compiler

Compiled 58 631 to 4 876 computations (91.7% saved)

prune186.0ms (2.7%)

Memory
-15.1MiB live, 83.8MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 95421 956
Fresh101
Picked145
Done000
Total1 95661 962
Accuracy
100.0%
Counts
1 962 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.1%
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
66.1%
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
81.8%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
53.9%
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
81.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
49.1%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 71 to 43 computations (39.4% saved)

simplify341.0ms (5%)

Memory
-18.1MiB live, 170.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
cost-diff2
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
cost-diff11
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
cost-diff1
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
cost-diff11
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
012106
023104
15284
214680
345078
4209078
5536178
0827878
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
x
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
Outputs
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
(neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
x
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)

localize59.0ms (0.9%)

Memory
30.6MiB live, 66.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0546875
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
accuracy0.08822250976844201
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy0.24166358619792008
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy21.320055795501116
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy0.0
(neg.f64 x)
accuracy0.05078125
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
accuracy0.08822250976844201
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy21.320055795501116
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
Samples
26.0ms256×0valid
Compiler

Compiled 125 to 16 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 6.0ms (35.9% of total)
ival-mult: 6.0ms (35.9% of total)
ival-add: 2.0ms (12% of total)
ival-neg: 2.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
9 → 35
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
-1
(- (* -1 (pow x 2)) 1)
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
1
(+ 1 (pow x 2))
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 2)) 1)
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 1))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@0
((/ (* (+ (* (neg x) x) -1) x) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* (+ (* (neg x) x) -1) x) (+ (* (neg x) x) -1) (neg x) (/ (/ x (/ -1 (+ (* x x) 1))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (/ x (/ -1 (+ (* x x) 1))) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg x) x) -1) (+ (* x x) 1)))
1.0ms
x
@inf
((/ (* (+ (* (neg x) x) -1) x) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* (+ (* (neg x) x) -1) x) (+ (* (neg x) x) -1) (neg x) (/ (/ x (/ -1 (+ (* x x) 1))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (/ x (/ -1 (+ (* x x) 1))) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg x) x) -1) (+ (* x x) 1)))
1.0ms
x
@-inf
((/ (* (+ (* (neg x) x) -1) x) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (* (+ (* (neg x) x) -1) x) (+ (* (neg x) x) -1) (neg x) (/ (/ x (/ -1 (+ (* x x) 1))) (* (+ (* (neg x) x) -1) (+ (* x x) 1))) (/ x (/ -1 (+ (* x x) 1))) (/ -1 (+ (* x x) 1)) (+ (* x x) 1) (* (+ (* (neg x) x) -1) (+ (* x x) 1)))

simplify229.0ms (3.3%)

Memory
-19.2MiB live, 137.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076331
1224314
2591305
32535295
47186295
08318281
Stop Event
iter limit
node limit
Counts
35 → 34
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(* -1 x)
(* x (- (* -1 (pow x 2)) 1))
-1
(- (* -1 (pow x 2)) 1)
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
1
(+ 1 (pow x 2))
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -1 (pow x 2)) 2)) 1)
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -1 (pow x 4))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 1))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 (pow x 2)) 1))
(neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
-1
#s(literal -1 binary64)
(- (* -1 (pow x 2)) 1)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -1 (pow x 2)) 2)) 1)
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal -2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (pow x 3))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (+ 1 (/ 1 (pow x 2)))))
(neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) x)
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64))) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1 (* 2 (/ 1 (pow x 2))))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -2 binary64)) x) x)
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (fma.f64 x x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))

rewrite320.0ms (4.7%)

Memory
-18.6MiB live, 330.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01279
02377
110457
288649
0919849
Stop Event
iter limit
node limit
iter limit
Counts
9 → 1 409
Calls
Call 1
Inputs
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 x) x #s(literal -1 binary64))
(neg.f64 x)
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) x)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (neg.f64 x)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (pow.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (pow.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) #s(literal 2 binary64))))
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eval472.0ms (6.9%)

Memory
33.7MiB live, 452.2MiB allocated
Compiler

Compiled 62 446 to 4 671 computations (92.5% saved)

prune41.0ms (0.6%)

Memory
-31.5MiB live, 101.2MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 99011 991
Fresh000
Picked112
Done044
Total1 99161 997
Accuracy
100.0%
Counts
1 997 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.1%
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
81.8%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
53.9%
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
81.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
80.3%
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
49.1%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 71 to 44 computations (38% saved)

simplify131.0ms (1.9%)

Memory
23.5MiB live, 173.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
cost-diff2
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
cost-diff11
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01161
02148
14148
29048
329248
4103146
5344846
6789046
0824346
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
Outputs
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
x
#s(literal 1 binary64)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))

localize36.0ms (0.5%)

Memory
-3.7MiB live, 67.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.22994483619792008
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
accuracy11.430345388759035
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
accuracy11.630562564210576
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
accuracy11.644661990377287
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
Samples
28.0ms256×0valid
Compiler

Compiled 73 to 15 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 9.0ms (50.5% of total)
ival-add: 4.0ms (22.5% of total)
ival-div: 3.0ms (16.8% of total)
ival-neg: 1.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
6 → 32
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(* x (+ 1 (* -2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2 (pow x 2)) 2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 2))))
1
(+ 1 (* -1 (pow x 2)))
(* -1 x)
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* x (- (* 2 (/ 1 (pow x 2))) 1))
(* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 2 (pow x 4)))))
(* x (- (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))) (+ 1 (/ 2 (pow x 4)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 2 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((* (* (+ (* (neg x) x) 1) (/ x (+ (* x x) 1))) (/ -1 (+ (* x x) -1))) (* (+ (* (neg x) x) 1) (/ x (+ (* x x) 1))) (+ (* (neg x) x) 1) (neg x) (/ x (+ (* x x) 1)) (/ -1 (+ (* x x) -1)))
1.0ms
x
@-inf
((* (* (+ (* (neg x) x) 1) (/ x (+ (* x x) 1))) (/ -1 (+ (* x x) -1))) (* (+ (* (neg x) x) 1) (/ x (+ (* x x) 1))) (+ (* (neg x) x) 1) (neg x) (/ x (+ (* x x) 1)) (/ -1 (+ (* x x) -1)))
1.0ms
x
@0
((* (* (+ (* (neg x) x) 1) (/ x (+ (* x x) 1))) (/ -1 (+ (* x x) -1))) (* (+ (* (neg x) x) 1) (/ x (+ (* x x) 1))) (+ (* (neg x) x) 1) (neg x) (/ x (+ (* x x) 1)) (/ -1 (+ (* x x) -1)))

simplify132.0ms (1.9%)

Memory
-1.9MiB live, 190.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094381
1282368
2802352
32710344
47431344
08353335
Stop Event
iter limit
node limit
Counts
32 → 31
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(* x (+ 1 (* -2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2 (pow x 2)) 2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 2))))
1
(+ 1 (* -1 (pow x 2)))
(* -1 x)
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(* x (- (* 2 (/ 1 (pow x 2))) 1))
(* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 2 (pow x 4)))))
(* x (- (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))) (+ 1 (/ 2 (pow x 4)))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (/ 2 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(* x (+ 1 (* -2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 2 (pow x 2)) 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2 (* -2 (pow x 2)))) 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal -2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* -1 x)
(neg.f64 x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1 (pow x 2))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(* x (- (* 2 (/ 1 (pow x 2))) 1))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 2 (pow x 4)))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x)
(* x (- (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))) (+ 1 (/ 2 (pow x 4)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 2))) 1) (pow x 2))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 2))) (pow x 4))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)) x) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)
(* -1 (* x (- 1 (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ 1 (/ 2 (pow x 4))) (* 2 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x)
(* -1 (* x (- (+ 1 (/ 2 (pow x 4))) (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)

rewrite213.0ms (3.1%)

Memory
-9.0MiB live, 309.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01150
02137
18837
273025
0820325
Stop Event
iter limit
node limit
iter limit
Counts
6 → 2 616
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(neg.f64 x)
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(*.f64 (/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
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(-.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))

eval215.0ms (3.1%)

Memory
52.2MiB live, 433.0MiB allocated
Compiler

Compiled 51 045 to 3 862 computations (92.4% saved)

prune347.0ms (5.1%)

Memory
-43.5MiB live, 93.9MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1 75411 755
Fresh000
Picked011
Done145
Total1 75561 761
Accuracy
100.0%
Counts
1 761 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
53.9%
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
81.8%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
80.3%
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
52.7%
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ -1 (+ (* x x) -1)) (fma.f64 x x #s(literal 1 binary64))))
49.1%
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 243 to 93 computations (61.7% saved)

regimes8.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ -1 (+ (* x x) -1)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (neg.f64 x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) x))
Outputs
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

4.0ms
x
4.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%2x
99.9%2(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ -1 (+ (* x x) -1)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
Outputs
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ -1 (+ (* x x) -1)) (fma.f64 x x #s(literal 1 binary64))))
Outputs
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
100.0%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
Outputs
(/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
82.4%4(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
99.5%2x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory
-32.2MiB live, 5.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

3.0ms
x
1.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
49.1%1(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
49.1%1x
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch8.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
7.0ms
0.11948140331621533
213499522482.11688
Samples
4.0ms96×0valid
Compiler

Compiled 190 to 135 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (52.1% of total)
ival-mult: 1.0ms (52.1% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
0.11948140331621533
213499522482.11688
Samples
1.0ms16×0valid
Compiler

Compiled 213 to 142 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
0.11948140331621533
213499522482.11688
Compiler

Compiled 44 to 37 computations (15.9% saved)

bsearch15.0ms (0.2%)

Memory
-13.5MiB live, 22.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.11948140331621533
213499522482.11688
Samples
8.0ms144×0valid
Compiler

Compiled 210 to 179 computations (14.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (53% of total)
ival-div: 1.0ms (17.7% of total)
ival-mult: 1.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify57.0ms (0.8%)

Memory
11.9MiB live, 48.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031123
138123
241123
343123
447123
551123
666123
7166123
83616123
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 100000000 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 200000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
Outputs
(if (<=.f64 x #s(literal 100000000 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 100000000 binary64)) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) x) (*.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 200000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 200000 binary64)) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 x #s(approx (+ (* x x) 1) #s(literal 1 binary64))) #s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64))))
#s(approx (/ x (+ (* x x) 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* x x) 1)) (pow.f64 x #s(literal -1 binary64)))

soundness674.0ms (9.8%)

Memory
55.4MiB live, 465.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045149
1131147
2314139
3887135
42406133
55739133
67796133
08040127
022116
03684
114981
2107975
0934775
0515
0815
13315
220215
3176815
0862813
01279
02377
110457
288649
0919849
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 274 to 104 computations (62% saved)

preprocess124.0ms (1.8%)

Memory
-30.2MiB live, 176.3MiB allocated
Compiler

Compiled 410 to 164 computations (60% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...