sqrt C (should all be same)

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample751.0ms (40.9%)

Memory
-7.3MiB live, 742.0MiB allocated; 166ms collecting garbage
Samples
478.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 263.0ms
ival-mult: 175.0ms (66.7% of total)
ival-sqrt: 73.0ms (27.8% of total)
ival-true: 5.0ms (1.9% of total)
exact: 4.0ms (1.5% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain61.0ms (3.3%)

Memory
23.7MiB live, 69.6MiB allocated; 6ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1260-6(-3.047330573007542e-158)(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
00-0-#s(literal 2 binary64)
00-0-(*.f64 x x)
00-0-(*.f64 #s(literal 2 binary64) (*.f64 x x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))uflow-rescue630
↳(*.f64 #s(literal 2 binary64) (*.f64 x x))underflow63
↳(*.f64 x x)underflow63
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))oflow-rescue570
↳(*.f64 #s(literal 2 binary64) (*.f64 x x))overflow58
↳(*.f64 x x)overflow58
↳(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))overflow1
Confusion
Predicted +Predicted -
+1207
-0129
Precision
1.0
Recall
0.9448818897637795
Confusion?
Predicted +Predicted MaybePredicted -
+12007
-00129
Precision?
1.0
Recall?
0.9448818897637795
Freqs
test
numberfreq
0136
1120
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
22.0ms512×0valid
Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (62.8% of total)
ival-sqrt: 3.0ms (26.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess26.0ms (1.4%)

Memory
-14.9MiB live, 32.0MiB allocated; 4ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
12213
28313
313113
422313
524913
626913
056
086
1186
2566
31226
41876
52236
62466
72666
02663
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(hypot.f64 x x)
Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify6.0ms (0.4%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff3
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0516
0816
11816
25616
312216
418716
522316
624616
726616
026613
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(hypot.f64 x x)
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x

localize24.0ms (1.3%)

Memory
-25.8MiB live, 25.0MiB allocated; 12ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.015625
(*.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy28.53527523920021
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Samples
19.0ms256×0valid
Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (59.2% of total)
ival-sqrt: 2.0ms (29.6% of total)
adjust: 1.0ms (14.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
3 → 4
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(* -1 (* x (sqrt 2)))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x))
1.0ms
x
@0
((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x))
1.0ms
x
@-inf
((sqrt (* 2 (* x x))) (* 2 (* x x)) (* x x))

simplify8.0ms (0.5%)

Memory
8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
11817
24317
39217
422817
543717
648517
048517
Stop Event
1×iter limit
1×saturated
Counts
4 → 4
Calls
Call 1
Inputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(* -1 (* x (sqrt 2)))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))

rewrite36.0ms (2%)

Memory
-10.0MiB live, 35.2MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0514
0813
12413
21025
07775
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
3 → 15
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
Outputs
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))

eval2.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 155 to 71 computations (54.2% saved)

prune1.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New15318
Fresh000
Picked011
Done000
Total15419
Accuracy
99.7%
Counts
19 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
✓55.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
▶99.3%
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
▶4.0%
#s(literal 0 binary64)
Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify12.0ms (0.6%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (sqrt.f64 x))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
cost-diff3
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
cost-diff4
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
cost-diff0
(sqrt.f64 #s(literal 2 binary64))
cost-diff0
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff0
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01454
02154
14042
210442
324842
442242
550442
654442
757842
057836
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
#s(literal 2 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x (sqrt.f64 x))
x
(sqrt.f64 x)
Outputs
#s(literal 0 binary64)
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
(hypot.f64 x x)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 x x)
(*.f64 x (sqrt.f64 x))
(*.f64 (sqrt.f64 x) x)
x
(sqrt.f64 x)

localize31.0ms (1.7%)

Memory
21.6MiB live, 21.6MiB allocated; 0ms collecting garbage
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
accuracy0.171875
(*.f64 x (sqrt.f64 x))
accuracy0.17578125
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy28.53527523920021
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy0.42578125
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
Samples
23.0ms256×0valid
Compiler

Compiled 51 to 15 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 9.0ms (59.9% of total)
ival-sqrt: 6.0ms (39.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.3%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
7 → 9
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
Outputs
(* x (sqrt 2))
(pow x 2)
(* 2 (pow x 2))
(sqrt (pow x 3))
(* -1 (* x (sqrt 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((sqrt (* 2 (* x x))) (* (sqrt 2) x) (sqrt 2) (* (* x (sqrt x)) (sqrt x)) (sqrt (* 2 (* (* x (sqrt x)) (sqrt x)))) (* 2 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)))
1.0ms
x
@inf
((sqrt (* 2 (* x x))) (* (sqrt 2) x) (sqrt 2) (* (* x (sqrt x)) (sqrt x)) (sqrt (* 2 (* (* x (sqrt x)) (sqrt x)))) (* 2 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)))
1.0ms
x
@0
((sqrt (* 2 (* x x))) (* (sqrt 2) x) (sqrt 2) (* (* x (sqrt x)) (sqrt x)) (sqrt (* 2 (* (* x (sqrt x)) (sqrt x)))) (* 2 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)))

simplify142.0ms (7.7%)

Memory
-8.7MiB live, 80.6MiB allocated; 13ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02341
15641
217141
344341
4123941
5264233
6359833
7403033
8438233
9442533
10442533
11442533
12532733
13543133
14543133
15544333
16544333
17593233
18674333
0674333
Stop Event
1×iter limit
1×saturated
Counts
9 → 9
Calls
Call 1
Inputs
(* x (sqrt 2))
(pow x 2)
(* 2 (pow x 2))
(sqrt (pow x 3))
(* -1 (* x (sqrt 2)))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* 2 (pow x 2))
#s(literal 0 binary64)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(*.f64 x x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
#s(literal 0 binary64)
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))

rewrite79.0ms (4.3%)

Memory
-13.8MiB live, 85.6MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01347
02036
14929
218814
099814
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
7 → 64
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
Outputs
#s(approx (sqrt (* 2 (* x x))) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) x))
(*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(literal 0 binary64)
#s(literal 0 binary64)
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) x))
(*.f64 (neg.f64 (sqrt.f64 x)) x)
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 x) x)
(*.f64 x (neg.f64 (sqrt.f64 x)))
(*.f64 x (sqrt.f64 x))
(pow.f64 (*.f64 x (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(neg.f64 (pow.f64 x #s(literal 3/2 binary64)))
(sqrt.f64 (*.f64 x (*.f64 x x)))
(sqrt.f64 (*.f64 (*.f64 x x) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))

eval8.0ms (0.4%)

Memory
18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 826 to 280 computations (66.1% saved)

prune5.0ms (0.3%)

Memory
-37.0MiB live, 9.0MiB allocated; 4ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New66268
Fresh000
Picked033
Done011
Total66672
Accuracy
99.9%
Counts
72 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶55.2%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))))
✓55.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
✓55.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
▶99.1%
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x))
✓99.3%
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓4.0%
#s(literal 0 binary64)
Compiler

Compiled 51 to 42 computations (17.6% saved)

simplify15.0ms (0.8%)

Memory
30.9MiB live, 30.9MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3/2 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))))
cost-diff0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
cost-diff0
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x))
cost-diff3
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01663
02463
14157
210754
321554
435254
545954
655354
759754
861754
962754
062751
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)
Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
#s(literal 2 binary64)
#s(literal 1/4 binary64)
x
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))))
(sqrt.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(sqrt.f64 x)

localize72.0ms (3.9%)

Memory
-9.4MiB live, 88.2MiB allocated; 41ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.015625
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
accuracy0.17578125
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
accuracy28.53527523920021
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))))
accuracy0.0
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
accuracy0.0
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x))
accuracy0.42578125
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
accuracy1.0
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
Samples
62.0ms256×0valid
Compiler

Compiled 57 to 17 computations (70.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 8.0ms (25.8% of total)
ival-sqrt: 7.0ms (22.5% of total)
ival-pow: 6.0ms (19.3% of total)
ival-pow2: 6.0ms (19.3% of total)
ival-exp2: 4.0ms (12.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.3%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Counts
9 → 11
Calls
Call 1
Inputs
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)
Outputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(sqrt (pow x 3))
(sqrt x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((pow (pow 2 1/4) 2) (sqrt (* 2 (* x x))) (* (pow (pow 2 1/4) 2) x) (pow 2 1/4) (sqrt (* 2 (* (pow x 3/2) (sqrt x)))) (* 2 (* (pow x 3/2) (sqrt x))) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))
2.0ms
x
@inf
((pow (pow 2 1/4) 2) (sqrt (* 2 (* x x))) (* (pow (pow 2 1/4) 2) x) (pow 2 1/4) (sqrt (* 2 (* (pow x 3/2) (sqrt x)))) (* 2 (* (pow x 3/2) (sqrt x))) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))
1.0ms
x
@0
((pow (pow 2 1/4) 2) (sqrt (* 2 (* x x))) (* (pow (pow 2 1/4) 2) x) (pow 2 1/4) (sqrt (* 2 (* (pow x 3/2) (sqrt x)))) (* 2 (* (pow x 3/2) (sqrt x))) (* (pow x 3/2) (sqrt x)) (pow x 3/2) (sqrt x))

simplify115.0ms (6.3%)

Memory
-18.3MiB live, 74.5MiB allocated; 9ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
02250
15247
216846
338646
4120746
5281238
6404338
7456538
8511938
9541838
10573838
11666138
12768638
0801438
Stop Event
1×iter limit
1×node limit
Counts
11 → 11
Calls
Call 1
Inputs
(* x (sqrt 2))
(* 2 (pow x 2))
(pow x 2)
(sqrt (pow x 3))
(sqrt x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
(* (pow x 2) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
#s(literal 0 binary64)
(pow x 2)
(*.f64 x x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt x)
(sqrt.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (* (sqrt -1) (sqrt 2))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(* 2 (* (pow x 2) (pow (sqrt -1) 2)))
#s(literal 0 binary64)
(* (pow x 2) (pow (sqrt -1) 2))
(*.f64 x x)
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite146.0ms (7.9%)

Memory
7.3MiB live, 144.5MiB allocated; 27ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01657
02444
17335
227719
3176519
0864119
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 391
Calls
Call 1
Inputs
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 x)
Outputs
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64))) #s(literal 4 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 7/16 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/4 binary64)) (exp.f64 #s(literal 1/4 binary64))) (log.f64 #s(literal 2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) (log.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/8 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 #s(literal 4 binary64)))
(pow.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/32 binary64)) #s(literal 8 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))))) (-.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (*.f64 (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)) (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (-.f64 (*.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))) (*.f64 (*.f64 (cosh.f64 (*.f64 #s(literal -1/4 binary64) (log.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64))) (*.f64 (sinh.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 #s(literal 16 binary64) #s(literal 1/16 binary64)))))))
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(/.f64 (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))) (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))))))
(/.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))) (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(neg.f64 (pow.f64 x #s(literal 3/2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x))) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)))))
(fma.f64 x (cosh.f64 (log.f64 (sqrt.f64 x))) (*.f64 x (sinh.f64 (log.f64 (sqrt.f64 x)))))
(fma.f64 (sqrt.f64 x) (cosh.f64 (log.f64 x)) (*.f64 (sqrt.f64 x) (sinh.f64 (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64)))))
(fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (sqrt.f64 x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3/2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) (cosh.f64 (log.f64 x))) (*.f64 (sqrt.f64 x) (sinh.f64 (log.f64 x))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (cosh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)))) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (sinh.f64 (*.f64 #s(literal 3/4 binary64) (log.f64 x)))))
(+.f64 (*.f64 x (cosh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 x (sinh.f64 (log.f64 (sqrt.f64 x)))))
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))))) (neg.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))))))
(+.f64 (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))))
(+.f64 (neg.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x)))) (sinh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))))
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))) (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (*.f64 #s(literal -3/2 binary64) (log.f64 x))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5/8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 7/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 5/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 13/8 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 5/4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (neg.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (cosh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (cosh.f64 (log.f64 (sqrt.f64 x))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x)))))))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (+.f64 (/.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (/.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (/.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (+.f64 (/.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64) (/.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (/.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 x)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 x))) (sinh.f64 (log.f64 (sqrt.f64 x))))

eval52.0ms (2.8%)

Memory
-7.5MiB live, 81.9MiB allocated; 8ms collecting garbage
Compiler

Compiled 8 437 to 1 872 computations (77.8% saved)

prune6.0ms (0.3%)

Memory
20.8MiB live, 20.8MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3961397
Fresh000
Picked202
Done044
Total3985403
Accuracy
99.9%
Counts
403 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
✓55.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
▶99.1%
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
✓99.3%
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓4.0%
#s(literal 0 binary64)
Compiler

Compiled 42 to 34 computations (19% saved)

simplify8.0ms (0.4%)

Memory
9.1MiB live, 9.1MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
cost-diff0
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
cost-diff3
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
01430
12624
27424
315824
426024
530624
632924
734924
034921
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize30.0ms (1.6%)

Memory
-16.0MiB live, 41.2MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 #s(literal 2 binary64))
accuracy0.0
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
accuracy0.42578125
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)
accuracy1.0
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
Samples
19.0ms256×0valid
Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (39.3% of total)
ival-sqrt: 4.0ms (31.4% of total)
ival-pow2: 3.0ms (23.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
Calls

3 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
((pow (sqrt (sqrt 2)) 2) (sqrt (* 2 (* x x))) (* (pow (sqrt (sqrt 2)) 2) x) (sqrt (sqrt 2)) (sqrt 2))
0.0ms
x
@0
((pow (sqrt (sqrt 2)) 2) (sqrt (* 2 (* x x))) (* (pow (sqrt (sqrt 2)) 2) x) (sqrt (sqrt 2)) (sqrt 2))
0.0ms
x
@inf
((pow (sqrt (sqrt 2)) 2) (sqrt (* 2 (* x x))) (* (pow (sqrt (sqrt 2)) 2) x) (sqrt (sqrt 2)) (sqrt 2))

simplify3.0ms (0.2%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
1139
2279
3289
0289
Stop Event
1×iter limit
1×saturated
Counts
2 → 2
Calls
Call 1
Inputs
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))

rewrite46.0ms (2.5%)

Memory
-1.1MiB live, 44.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01031
01426
14021
216011
0112511
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
5 → 66
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x)
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
#s(approx (sqrt (* 2 (* x x))) #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(fabs.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (sinh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(neg.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64)))) (cosh.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(literal 2 binary64))))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))) (sinh.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64)))))

eval5.0ms (0.3%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 794 to 191 computations (75.9% saved)

prune3.0ms (0.2%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done044
Total45550
Accuracy
99.9%
Counts
50 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓55.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
✓55.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
✓99.1%
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
✓99.3%
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓4.0%
#s(literal 0 binary64)
Compiler

Compiled 107 to 66 computations (38.3% saved)

regimes16.0ms (0.9%)

Memory
-31.2MiB live, 14.5MiB allocated; 4ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))))
#s(approx (sqrt (* 2 (* x x))) (*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) x))
Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
Calls

4 calls:

9.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
2.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
Results
AccuracySegmentsBranch
99.3%1(*.f64 x x)
99.3%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
99.3%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
99.3%1x
Compiler

Compiled 15 to 12 computations (20% saved)

regimes4.0ms (0.2%)

Memory
7.6MiB live, 7.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

4 calls:

1.0ms
x
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
1.0ms
(*.f64 x x)
1.0ms
(*.f64 #s(literal 2 binary64) (*.f64 x x))
Results
AccuracySegmentsBranch
4.0%1(*.f64 x x)
4.0%1(*.f64 #s(literal 2 binary64) (*.f64 x x))
4.0%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)))
4.0%1x
Compiler

Compiled 15 to 12 computations (20% saved)

simplify35.0ms (1.9%)

Memory
31.8MiB live, 31.8MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11912
25612
312812
419812
526012
645012
7212012
8330012
Stop Event
1×node limit
Calls
Call 1
Inputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(literal 0 binary64)
Outputs
#s(approx (sqrt (* 2 (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(literal 0 binary64)

derivations43.0ms (2.3%)

Memory
-4.9MiB live, 40.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0817
11817
24317
39217
422817
543717
648517
048517
0514
0813
12413
21025
07775
Stop Event
1×done
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
1×iter limit
1×saturated
Compiler

Compiled 12 to 10 computations (16.7% saved)

preprocess25.0ms (1.4%)

Memory
-11.8MiB live, 36.4MiB allocated; 10ms collecting garbage
Compiler

Compiled 58 to 48 computations (17.2% saved)

end0.0ms (0%)

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

Profiling

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