Expression 3, p15

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 17 to 10 computations (41.2% saved)

sample972.0ms (17.7%)

Memory
-12.3MiB live, 1 034.6MiB allocated
Samples
694.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 442.0ms
ival-mult: 194.0ms (43.9% of total)
ival-add: 123.0ms (27.8% of total)
ival-<=: 102.0ms (23.1% of total)
ival-and: 10.0ms (2.3% of total)
exact: 10.0ms (2.3% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain78.0ms (1.4%)

Memory
-1.4MiB live, 81.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 x (*.f64 x x))
00-0-(*.f64 x x)
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
20.0ms512×0valid
Compiler

Compiled 85 to 24 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (73.5% of total)
ival-add: 2.0ms (21% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.3%)

Memory
22.0MiB live, 22.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
13114
211314
330914
441814
542214
049
077
1167
2247
3337
4417
5517
6547
0546
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Outputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
Compiler

Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify4.0ms (0.1%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-5824
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0418
0714
11614
22414
33314
44114
55114
65414
05413
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
Outputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
x
(*.f64 x x)

localize34.0ms (0.6%)

Memory
-15.0MiB live, 20.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.0234375
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
accuracy0.09375
(*.f64 x (*.f64 x x))
Samples
30.0ms256×0valid
Compiler

Compiled 38 to 10 computations (73.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 23.0ms (95.3% of total)
ival-add: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
3 → 4
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x x)
(*.f64 x (*.f64 x x))
Outputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
Calls

3 calls:

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

simplify169.0ms (3.1%)

Memory
6.5MiB live, 162.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01120
13020
26420
310320
428620
5132620
6233520
7318320
8390420
9473120
10507420
11533720
12554920
13576920
14585220
15664220
16774420
0803218
Stop Event
iter limit
node limit
Counts
4 → 4
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)

rewrite221.0ms (4%)

Memory
-12.6MiB live, 237.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0417
0713
13013
219913
3176813
0845012
Stop Event
iter limit
node limit
iter limit
Counts
3 → 243
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x x)
(*.f64 x (*.f64 x x))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))))
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (*.f64 x x) x)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (-.f64 x (*.f64 x x))))))
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 x x) x) x))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 (*.f64 x x) x) x))))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (-.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 x x x) x)
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (*.f64 (-.f64 (*.f64 x x) x) x)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))
(*.f64 x (fma.f64 x x x))
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(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.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))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(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 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 4 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval46.0ms (0.8%)

Memory
1.1MiB live, 47.9MiB allocated
Compiler

Compiled 6 119 to 690 computations (88.7% saved)

prune6.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2536259
Fresh000
Picked101
Done000
Total2546260
Accuracy
100.0%
Counts
260 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 x x) x (*.f64 x x))
100.0%
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
100.0%
(*.f64 (fma.f64 x x x) x)
100.0%
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
96.9%
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Compiler

Compiled 120 to 68 computations (43.3% saved)

simplify615.0ms (11.2%)

Memory
-25.5MiB live, 86.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff1024
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
cost-diff-6016
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff-6144
(*.f64 (fma.f64 x x x) x)
cost-diff0
(fma.f64 x x x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
cost-diff-5824
(fma.f64 (*.f64 x x) x (*.f64 x x))
cost-diff0
(*.f64 x x)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01788
02976
15276
29176
321775
462575
5303975
6727075
0826275
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) x (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
x
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 x x)
x
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x x x)
x
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(*.f64 x x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)

localize146.0ms (2.6%)

Memory
27.1MiB live, 111.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 x x)
accuracy0.01171875
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
accuracy0.01953125
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0
(*.f64 x x)
accuracy0.03125
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
accuracy0
(fma.f64 x x x)
accuracy0.03125
(*.f64 (fma.f64 x x x) x)
accuracy0
(*.f64 x x)
accuracy1.9923682241749963
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy0.0234375
(fma.f64 (*.f64 x x) x (*.f64 x x))
Samples
135.0ms256×0valid
Compiler

Compiled 180 to 35 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 55.0ms (86% of total)
ival-add: 5.0ms (7.8% of total)
ival-div: 2.0ms (3.1% of total)
ival-sub: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.4%)

Memory
-26.5MiB live, 12.5MiB allocated
Counts
11 → 20
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 (*.f64 x x) x (*.f64 x x))
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(fma.f64 x x x)
(*.f64 (fma.f64 x x x) x)
(+.f64 #s(literal 1 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
Outputs
(pow x 2)
(* (pow x 2) (+ 1 x))
x
(* x (+ 1 x))
1
(+ 1 x)
-1
(- (pow x 2) 1)
(- x 1)
(* -1 (pow x 2))
(* (pow x 2) (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
((* x x) (+ (* (* x x) x) (* x x)) (+ (* x (* x x)) (* x x)) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))
2.0ms
x
@inf
((* x x) (+ (* (* x x) x) (* x x)) (+ (* x (* x x)) (* x x)) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))
1.0ms
x
@0
((* x x) (+ (* (* x x) x) (* x x)) (+ (* x (* x x)) (* x x)) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x)))

simplify193.0ms (3.5%)

Memory
4.3MiB live, 160.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03083
18383
216479
361579
4234579
5630679
0827873
Stop Event
iter limit
node limit
Counts
20 → 19
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
x
(* x (+ 1 x))
1
(+ 1 x)
-1
(- (pow x 2) 1)
(- x 1)
(* -1 (pow x 2))
(* (pow x 2) (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* x (- 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 x))
(fma.f64 x x x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (pow x 2) 1))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite260.0ms (4.7%)

Memory
12.7MiB live, 324.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01771
02959
110759
272958
0890158
Stop Event
iter limit
node limit
iter limit
Counts
11 → 2 211
Calls
Call 1
Inputs
(*.f64 x x)
(fma.f64 (*.f64 x x) x (*.f64 x x))
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(fma.f64 x x x)
(*.f64 (fma.f64 x x x) x)
(+.f64 #s(literal 1 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
Outputs
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (neg.f64 (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 x x x))
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(/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 (fma.f64 x x x) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 x x x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) x)) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x x)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 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 6 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 x x x) (*.f64 x x) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(fma.f64 (fma.f64 x x x) (*.f64 x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x)))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (fma.f64 x x x) (*.f64 (neg.f64 x) (fma.f64 x x x)))
(fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(+.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 (neg.f64 x) (fma.f64 x x x)))
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x)))
(+.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))

eval135.0ms (2.5%)

Memory
36.8MiB live, 269.6MiB allocated
Compiler

Compiled 26 867 to 3 332 computations (87.6% saved)

prune21.0ms (0.4%)

Memory
2.8MiB live, 77.8MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 22311 224
Fresh011
Picked145
Done000
Total1 22461 230
Accuracy
100.0%
Counts
1 230 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 x x) x (*.f64 x x))
98.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
100.0%
(*.f64 (fma.f64 x x x) x)
100.0%
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
100.0%
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
96.9%
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Compiler

Compiled 60 to 34 computations (43.3% saved)

simplify160.0ms (2.9%)

Memory
-33.0MiB live, 251.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff1792
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
cost-diff6080
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
cost-diff0
(/.f64 x (-.f64 x #s(literal 1 binary64)))
cost-diff0
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff1216
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01281
02179
14279
212079
350866
4198865
5502465
0827862
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 x #s(literal 1 binary64))
x
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
Outputs
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)
(/.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
(*.f64 (fma.f64 x x x) x)
#s(literal 1 binary64)
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) x)
(-.f64 x #s(literal 1 binary64))
x
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)

localize34.0ms (0.6%)

Memory
13.3MiB live, 50.0MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.01171875
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
accuracy0.12109375
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
accuracy1.1875565771482448
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.01953125
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
accuracy0.0234375
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
Samples
25.0ms256×0valid
Compiler

Compiled 170 to 26 computations (84.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (43.8% of total)
ival-div: 5.0ms (36.5% of total)
ival-sub: 1.0ms (7.3% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
9 → 43
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(*.f64 x x)
Outputs
(pow x 2)
(* (pow x 2) (+ 1 x))
-1
(- (pow x 2) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(* -1 x)
(* x (- (* -1 x) 1))
(* x (- (* x (- (* -1 x) 1)) 1))
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(- x 1)
(* (pow x 2) (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(/ 1 (pow x 3))
(/ (- 1 (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))
(* x (- 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))
(* -1 (/ (- (/ 1 x) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

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

simplify143.0ms (2.6%)

Memory
0.5MiB live, 150.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088393
1242371
2659343
32693319
47451319
08138311
Stop Event
iter limit
node limit
Counts
43 → 42
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
-1
(- (pow x 2) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(* -1 x)
(* x (- (* -1 x) 1))
(* x (- (* x (- (* -1 x) 1)) 1))
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(- x 1)
(* (pow x 2) (- (pow x 2) 1))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(/ 1 (pow x 3))
(/ (- 1 (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))
(* x (- 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))
(* -1 (/ (- (/ 1 x) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 x) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 x) 1))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(* x (- (* x (- (* -1 x) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x)
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* (pow x 2) (- (pow x 2) 1))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(/.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) x)
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x))
(/ 1 (pow x 3))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/ (- 1 (/ 1 x)) (pow x 3))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x))
(* -1 (/ (- (/ 1 x) 1) (pow x 3)))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite423.0ms (7.7%)

Memory
-14.4MiB live, 323.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01268
02166
18453
258651
3762351
0891048
Stop Event
iter limit
node limit
iter limit
Counts
9 → 1 636
Calls
Call 1
Inputs
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))
(*.f64 x x)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (-.f64 x #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 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (-.f64 x #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 #s(literal 1 binary64) x)) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64))) x)
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -3 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) x)
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 x (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
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(fma.f64 (*.f64 x x) (fma.f64 x x x) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (neg.f64 x) x))
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (neg.f64 x)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (neg.f64 x)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 (fma.f64 x x x)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 x (neg.f64 (fma.f64 x x x)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(fma.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))
(fma.f64 x (neg.f64 x) (pow.f64 x #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(+.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (neg.f64 x)))
(+.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (*.f64 (fma.f64 x x x) (neg.f64 x)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 (fma.f64 x x x) (neg.f64 x)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval233.0ms (4.2%)

Memory
19.2MiB live, 401.1MiB allocated
Compiler

Compiled 38 368 to 4 729 computations (87.7% saved)

prune24.0ms (0.4%)

Memory
21.0MiB live, 97.4MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New1 64521 647
Fresh000
Picked112
Done044
Total1 64671 653
Accuracy
100.0%
Counts
1 653 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 x x) x (*.f64 x x))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
100.0%
(*.f64 (fma.f64 x x x) x)
100.0%
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
100.0%
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
98.7%
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
96.9%
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Compiler

Compiled 78 to 48 computations (38.5% saved)

simplify282.0ms (5.1%)

Memory
-25.4MiB live, 100.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
cost-diff0
(/.f64 x (-.f64 x #s(literal 1 binary64)))
cost-diff0
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff0
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01499
02297
14397
29497
319897
437497
573097
6164797
7417297
8764297
0825591
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
x
(/.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))
(-.f64 x #s(literal 1 binary64))
x
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
Outputs
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x)
x
(/.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))
#s(literal 1 binary64)
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x))
(-.f64 x #s(literal 1 binary64))
x
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)

localize34.0ms (0.6%)

Memory
23.2MiB live, 59.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))
accuracy0.12109375
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))
accuracy0.83571298175814
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
accuracy1.1875565771482448
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
accuracy0.0078125
(/.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.01953125
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
accuracy0.0234375
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy0.83571298175814
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
Samples
23.0ms256×0valid
Compiler

Compiled 188 to 29 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (43.7% of total)
ival-div: 5.0ms (36.4% of total)
ival-sub: 1.0ms (7.3% of total)
ival-add: 1.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-32.2MiB live, 5.5MiB allocated
Counts
8 → 43
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
(-.f64 x #s(literal 1 binary64))
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))
Outputs
(pow x 2)
(* (pow x 2) (+ 1 x))
-1
(- (pow x 2) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(* -1 x)
(* x (- (* -1 x) 1))
(* x (- (* x (- (* -1 x) 1)) 1))
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(- x 1)
(* (pow x 2) (- (pow x 2) 1))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(* x (- 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(/ 1 (pow x 3))
(/ (- 1 (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (/ 1 x) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (/ (- x 1) (* (+ (* x x) -1) (* x x))))
1.0ms
x
@inf
((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (/ (- x 1) (* (+ (* x x) -1) (* x x))))
0.0ms
x
@0
((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (/ (- x 1) (* (+ (* x x) -1) (* x x))))

simplify160.0ms (2.9%)

Memory
10.8MiB live, 160.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088393
1242371
2660343
32682319
47419319
08100311
Stop Event
iter limit
node limit
Counts
43 → 42
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
-1
(- (pow x 2) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* -1 x) 1))
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(* -1 x)
(* x (- (* -1 x) 1))
(* x (- (* x (- (* -1 x) 1)) 1))
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(- x 1)
(* (pow x 2) (- (pow x 2) 1))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
1
(+ 1 (/ 1 x))
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(* x (- 1 (/ 1 x)))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(/ 1 (pow x 3))
(/ (- 1 (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (/ 1 x) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* -1 x) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1))
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 x) 1))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(* x (- (* x (- (* -1 x) 1)) 1))
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x)
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* (pow x 2) (- (pow x 2) 1))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 x)) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x)
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))
1
#s(literal 1 binary64)
(+ 1 (/ 1 x))
(/.f64 (-.f64 x #s(literal -1 binary64)) x)
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))
(/.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) x)
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 2))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/ 1 (pow x 3))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(/ (- 1 (/ 1 x)) (pow x 3))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (/ (- (/ 1 x) 1) (pow x 3)))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite339.0ms (6.2%)

Memory
32.3MiB live, 234.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01480
02278
18578
252978
3708778
0805573
Stop Event
iter limit
node limit
iter limit
Counts
8 → 959
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
(-.f64 x #s(literal 1 binary64))
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))
Outputs
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64))) x)
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal 1 binary64)) x)
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))) x)) x)
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)) (neg.f64 x))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x x)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))))
(*.f64 (/.f64 (*.f64 (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))) x) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 x (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (/.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) x)
(*.f64 (*.f64 (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))) x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
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(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))
(*.f64 (/.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) #s(literal 1 binary64)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))
(-.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(+.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)))

eval169.0ms (3.1%)

Memory
5.0MiB live, 196.2MiB allocated
Compiler

Compiled 25 528 to 2 808 computations (89% saved)

prune20.0ms (0.4%)

Memory
-18.2MiB live, 54.3MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New9360936
Fresh000
Picked022
Done055
Total9367943
Accuracy
100.0%
Counts
943 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 x x) x (*.f64 x x))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
100.0%
(*.f64 (fma.f64 x x x) x)
100.0%
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
100.0%
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
98.7%
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
96.9%
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Compiler

Compiled 191 to 79 computations (58.6% saved)

regimes7.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))
Outputs
(fma.f64 (*.f64 x x) x (*.f64 x x))
Calls

2 calls:

3.0ms
x
3.0ms
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 10 to 5 computations (50% saved)

regimes4.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
Outputs
(*.f64 (fma.f64 x x x) x)
Calls

2 calls:

2.0ms
x
1.0ms
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 10 to 5 computations (50% saved)

regimes3.0ms (0%)

Memory
7.3MiB live, 7.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
x
1.0ms
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Results
AccuracySegmentsBranch
96.9%1x
96.9%1(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 10 to 5 computations (50% saved)

simplify30.0ms (0.5%)

Memory
-30.2MiB live, 59.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
11027
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) x (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Outputs
(fma.f64 (*.f64 x x) x (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

soundness453.0ms (8.2%)

Memory
-3.3MiB live, 190.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0417
0713
13013
219913
3176813
0845012
01120
13020
26420
310320
428620
5132620
6233520
7318320
8390420
9473120
10507420
11533720
12554920
13576920
14585220
15664220
16774420
0803218
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 62 to 22 computations (64.5% saved)

preprocess35.0ms (0.6%)

Memory
8.5MiB live, 47.0MiB allocated
Compiler

Compiled 86 to 36 computations (58.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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