Data.Random.Dice:roll from dice-0.1

Time bar (total: 3.5s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample722.0ms (20.7%)

Memory
22.9MiB live, 771.3MiB allocated; 233ms collecting garbage
Samples
446.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 267.0ms
ival-sub: 159.0ms (59.5% of total)
ival-mult: 92.0ms (34.4% of total)
ival-true: 6.0ms (2.2% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain120.0ms (3.5%)

Memory
-28.3MiB live, 86.5MiB allocated; 43ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 1 binary64)
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
79.0ms512×0valid
Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54% of total)
ival-sub: 2.0ms (27% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess261.0ms (7.5%)

Memory
23.1MiB live, 207.2MiB allocated; 59ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611
12011
25611
39511
418510
534310
669210
7111510
8158610
9223210
10521010
11645010
12749910
13799510
045
065
1155
2395
3785
41385
52265
64415
77095
810705
917425
1047665
1161865
1269255
1377125
080304
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Outputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval5.0ms (0.1%)

Memory
-46.9MiB live, 0.2MiB allocated; 6ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Compiler

Compiled 5 to 4 computations (20% saved)

simplify180.0ms (5.2%)

Memory
38.3MiB live, 183.9MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11510
23910
37810
413810
522610
644110
770910
8107010
9174210
10476610
11618610
12692510
13771210
080309
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)
Outputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 1 binary64)

localize27.0ms (0.8%)

Memory
-15.7MiB live, 29.1MiB allocated; 6ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
Samples
23.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (52.2% of total)
ival-sub: 1.0ms (26.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.3MiB live, 3.4MiB allocated; 0ms collecting garbage
Counts
2 → 4
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
Outputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* x x) 1) (* x x))
0.0ms
x
@-inf
((- (* x x) 1) (* x x))
0.0ms
x
@0
((- (* x x) 1) (* x x))

simplify135.0ms (3.9%)

Memory
-7.0MiB live, 182.9MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11420
22720
36420
412920
521720
633720
756420
886120
9127020
10191820
11565520
12653220
13735120
0800919
Stop Event
iter limit
node limit
Counts
4 → 4
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)

rewrite313.0ms (9%)

Memory
1.8MiB live, 292.8MiB allocated; 195ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1318
22028
323008
092827
Stop Event
iter limit
node limit
iter limit
Counts
2 → 208
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #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 6 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 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)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #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 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (tanh.f64 (log.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))) (-.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (+.f64 #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 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.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)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.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)))) (neg.f64 (+.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 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (-.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))) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.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))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (fma.f64 x x #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 -2 binary64)) (fma.f64 x x #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))) (+.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 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -3 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 (/.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #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 -3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (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)) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (*.f64 (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 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (*.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) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 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 (/.f64 (pow.f64 x #s(literal 12 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 #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 (pow.f64 x #s(literal 12 binary64)) (*.f64 (-.f64 #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 #s(literal 1 binary64) (*.f64 (-.f64 #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 (pow.f64 x #s(literal 18 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 #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 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.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 (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)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 #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 (pow.f64 (-.f64 #s(literal 1 binary64) (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)) (+.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 (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)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (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)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) #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 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x x #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))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (tanh.f64 (log.f64 x)))
(+.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fma.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 #s(literal -1 binary64)))))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #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 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.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)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval45.0ms (1.3%)

Memory
-20.9MiB live, 38.5MiB allocated; 18ms collecting garbage
Compiler

Compiled 4 283 to 538 computations (87.4% saved)

prune3.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2102212
Fresh000
Picked101
Done000
Total2112213
Accuracy
100.0%
Counts
213 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x #s(literal -1 binary64))
54.3%
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify153.0ms (4.4%)

Memory
7.9MiB live, 239.5MiB allocated; 34ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
0813
11813
24613
39213
414913
523713
645213
772213
8108413
9173713
10476513
11619013
12692413
13771213
0803413
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
Outputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)

localize17.0ms (0.5%)

Memory
4.9MiB live, 51.6MiB allocated; 2ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy29.24381050353472
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Samples
12.0ms256×0valid
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (41.9% of total)
ival-sub: 1.0ms (21% of total)
ival-add: 1.0ms (21% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Counts
2 → 4
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Outputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@inf
((- (* x x) 1) (+ (* x x) -1))
0.0ms
x
@-inf
((- (* x x) 1) (+ (* x x) -1))
0.0ms
x
@0
((- (* x x) 1) (+ (* x x) -1))

simplify144.0ms (4.1%)

Memory
-23.6MiB live, 166.2MiB allocated; 19ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11420
22720
36420
412920
521720
633720
756420
886120
9127020
10191720
11565320
12654420
13737320
0805219
Stop Event
iter limit
node limit
Counts
4 → 4
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)

rewrite170.0ms (4.9%)

Memory
11.4MiB live, 160.1MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
0810
14310
227910
3331010
0933310
Stop Event
iter limit
node limit
iter limit
Counts
2 → 225
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Outputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
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(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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)) #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (tanh.f64 (log.f64 x)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #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)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 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 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #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 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x x))

eval24.0ms (0.7%)

Memory
11.3MiB live, 57.2MiB allocated; 3ms collecting garbage
Compiler

Compiled 5 273 to 552 computations (89.5% saved)

prune3.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2271228
Fresh000
Picked022
Done000
Total2273230
Accuracy
100.0%
Counts
230 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x #s(literal -1 binary64))
46.7%
#s(approx (- (* x x) 1) (*.f64 x x))
54.3%
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Compiler

Compiled 20 to 15 computations (25% saved)

simplify207.0ms (5.9%)

Memory
8.4MiB live, 198.7MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (* x x) 1) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0713
11613
24013
37913
413913
522713
644213
771213
8107613
9174513
10476913
11619613
12692313
13772213
0807612
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 x x)
x

localize38.0ms (1.1%)

Memory
-38.8MiB live, 103.6MiB allocated; 21ms collecting garbage
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy34.094413998052346
#s(approx (- (* x x) 1) (*.f64 x x))
Samples
10.0ms256×0valid
Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (58% of total)
ival-sub: 1.0ms (29% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Counts
2 → 4
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 x x)
Outputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Calls

3 calls:

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

simplify145.0ms (4.2%)

Memory
6.1MiB live, 196.1MiB allocated; 25ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11420
22720
36420
412920
521720
633720
756420
886120
9127020
10191720
11565320
12654420
13737320
0805219
Stop Event
iter limit
node limit
Counts
4 → 4
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)

rewrite194.0ms (5.6%)

Memory
-19.4MiB live, 179.9MiB allocated; 33ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0612
0712
13212
220312
3230112
0928011
Stop Event
iter limit
node limit
iter limit
Counts
2 → 21
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (- (* x x) 1) (*.f64 x x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.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)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval3.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Compiler

Compiled 358 to 82 computations (77.1% saved)

prune2.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New25025
Fresh000
Picked011
Done022
Total25328
Accuracy
100.0%
Counts
28 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 x x #s(literal -1 binary64))
46.7%
#s(approx (- (* x x) 1) (*.f64 x x))
54.3%
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Compiler

Compiled 45 to 26 computations (42.2% saved)

regimes5.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (*.f64 x x))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Outputs
(fma.f64 x x #s(literal -1 binary64))
Calls

3 calls:

2.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
100.0%1(*.f64 x x)
100.0%1(-.f64 (*.f64 x x) #s(literal 1 binary64))
100.0%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes6.0ms (0.2%)

Memory
-29.1MiB live, 14.8MiB allocated; 5ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (*.f64 x x))
Outputs
#s(approx (- (* x x) 1) #s(literal -1 binary64))
#s(approx (- (* x x) 1) (*.f64 x x))
Calls

3 calls:

1.0ms
x
1.0ms
(-.f64 (*.f64 x x) #s(literal 1 binary64))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
99.2%2(*.f64 x x)
99.2%2(-.f64 (*.f64 x x) #s(literal 1 binary64))
99.2%2x
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) #s(literal 1 binary64))
Results
AccuracySegmentsBranch
54.3%1(*.f64 x x)
54.3%1(-.f64 (*.f64 x x) #s(literal 1 binary64))
54.3%1x
Compiler

Compiled 9 to 7 computations (22.2% saved)

bsearch14.0ms (0.4%)

Memory
-5.0MiB live, 40.1MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
2.993839301979434e-11
16.08042219332681
Samples
5.0ms160×0valid
Compiler

Compiled 168 to 148 computations (11.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (46% of total)
ival-mult: 1.0ms (46% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify87.0ms (2.5%)

Memory
3.6MiB live, 64.6MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01131
12031
24431
38931
415731
525831
648231
779631
8117631
9197931
10400731
11482331
12559931
13711631
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 x x #s(literal -1 binary64))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- (* x x) 1) (*.f64 x x)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))
Outputs
(fma.f64 x x #s(literal -1 binary64))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (* x x) 1) #s(literal -1 binary64)) #s(approx (- (* x x) 1) (*.f64 x x)))
#s(approx (- (* x x) 1) #s(literal -1 binary64))

derivations382.0ms (11%)

Memory
28.4MiB live, 345.9MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
11420
22720
36420
412920
521720
633720
756420
886120
9127020
10191720
11565320
12654420
13737320
0805219
048
068
1318
22028
323008
092827
0920
11420
22720
36420
412920
521720
633720
756420
886120
9127020
10191820
11565520
12653220
13735120
0800919
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 31 to 12 computations (61.3% saved)

preprocess73.0ms (2.1%)

Memory
-14.3MiB live, 79.6MiB allocated; 28ms collecting garbage
Remove

(abs x)

Compiler

Compiled 80 to 38 computations (52.5% saved)

end0.0ms (0%)

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

Profiling

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