Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

Time bar (total: 1.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample701.0ms (38.2%)

Memory
-13.0MiB live, 1 163.4MiB allocated; 272ms collecting garbage
Samples
474.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-sub: 120.0ms (42.4% of total)
ival-div: 74.0ms (26.2% of total)
ival-mult: 69.0ms (24.4% of total)
exact: 8.0ms (2.8% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.7% of total)
Bogosity

explain66.0ms (3.6%)

Memory
16.6MiB live, 107.7MiB allocated; 10ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 6 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (35.8% of total)
ival-div: 3.0ms (26.8% of total)
ival-sub: 2.0ms (17.9% 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)

preprocess17.0ms (0.9%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
12614
25514
38714
413214
514214
614614
714914
067
097
1177
2367
3657
4947
51097
61177
71257
81317
91357
01357
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB 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
▶99.9%
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Compiler

Compiled 7 to 6 computations (14.3% saved)

series2.0ms (0.1%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
6 → 9
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)
Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
x
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6)
1.0ms
x
@-inf
((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6)
1.0ms
x
@0
((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) x 3 6)

simplify110.0ms (6%)

Memory
-33.8MiB live, 104.2MiB allocated; 30ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01935
13835
210935
345835
4381135
0839931
Stop Event
1×iter limit
1×node limit
Counts
9 → 8
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
x
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
x
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))

rewrite47.0ms (2.5%)

Memory
9.1MiB live, 53.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
13718
024418
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
6 → 35
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 3 binary64)
#s(literal 6 binary64)

eval5.0ms (0.2%)

Memory
10.5MiB live, 10.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 472 to 141 computations (70.1% saved)

prune4.0ms (0.2%)

Memory
10.0MiB live, 10.0MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New35742
Fresh000
Picked101
Done000
Total36743
Accuracy
100.0%
Counts
43 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
60.6%
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
64.7%
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
▶99.8%
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
▶99.9%
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
▶99.8%
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
▶49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
▶50.3%
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Compiler

Compiled 172 to 136 computations (20.9% saved)

series5.0ms (0.3%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
19 → 13
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(*.f64 (*.f64 x x) #s(literal 6 binary64))
#s(literal 18 binary64)
#s(literal 36 binary64)
Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
x
(* 1/6 (pow x 2))
(pow x 2)
-18
(- (* 6 (pow x 2)) 18)
(* 6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) x -3 6 (/ (- (* x x) 3) 6) -1/2 (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36)
1.0ms
x
@-inf
((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) x -3 6 (/ (- (* x x) 3) 6) -1/2 (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36)
1.0ms
x
@0
((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) x -3 6 (/ (- (* x x) 3) 6) -1/2 (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) 18 36)

simplify130.0ms (7.1%)

Memory
-36.5MiB live, 162.5MiB allocated; 54ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02755
15455
215355
363255
4367355
0814049
Stop Event
1×iter limit
1×node limit
Counts
13 → 12
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
x
(* 1/6 (pow x 2))
(pow x 2)
-18
(- (* 6 (pow x 2)) 18)
(* 6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
x
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(pow x 2)
(*.f64 x x)
-18
#s(literal -18 binary64)
(- (* 6 (pow x 2)) 18)
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))
(* 6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))

rewrite44.0ms (2.4%)

Memory
18.8MiB live, 65.1MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023104
031104
1114102
0750102
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
19 → 124
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(*.f64 (*.f64 x x) #s(literal 6 binary64))
#s(literal 18 binary64)
#s(literal 36 binary64)
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -3 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -3 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 x x) #s(literal -3 binary64))))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
(*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal -36 binary64))
(/.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/6 binary64)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)))) #s(literal 36 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)) #s(literal 216 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64)) #s(literal 648 binary64)) #s(literal 1296 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 6 binary64)) #s(literal 108 binary64)) #s(literal 216 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) #s(literal 36 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5832 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64))) #s(literal 36 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -36 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal 36 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal -36 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5832 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5832 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))) (/.f64 #s(literal 324 binary64) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)))) (/.f64 #s(literal 5832 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64)))))
(-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(*.f64 (*.f64 #s(literal 6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 6 binary64) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 6 binary64)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 6 binary64)))
(*.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (*.f64 x x))
(*.f64 x (*.f64 #s(literal 6 binary64) x))
#s(literal 18 binary64)
#s(literal 36 binary64)

eval20.0ms (1.1%)

Memory
-9.3MiB live, 42.7MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 553 to 488 computations (80.9% saved)

prune6.0ms (0.3%)

Memory
25.1MiB live, 25.1MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1674171
Fresh202
Picked235
Done000
Total1717178
Accuracy
100.0%
Counts
178 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
▶99.9%
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
▶49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
▶49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
▶49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))))
✓50.3%
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Compiler

Compiled 91 to 72 computations (20.9% saved)

series7.0ms (0.4%)

Memory
-31.6MiB live, 15.1MiB allocated; 3ms collecting garbage
Counts
18 → 9
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))))
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
#s(literal 6 binary64)
(/.f64 (*.f64 x x) #s(literal 36 binary64))
(*.f64 x x)
x
#s(literal 36 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
(*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))
(*.f64 #s(literal 6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/36 (pow x 2))
(pow x 2)
x
(* 1/6 x)
(* 6 x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((/ (- (* x x) 3) 6) (* 6 (/ (* x x) 36)) 6 (/ (* x x) 36) (* x x) x 36 (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (/ (* 6 x) 36) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) -1/2)
2.0ms
x
@-inf
((/ (- (* x x) 3) 6) (* 6 (/ (* x x) 36)) 6 (/ (* x x) 36) (* x x) x 36 (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (/ (* 6 x) 36) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) -1/2)
2.0ms
x
@inf
((/ (- (* x x) 3) 6) (* 6 (/ (* x x) 36)) 6 (/ (* x x) 36) (* x x) x 36 (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (/ (* 6 x) 36) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) 1/6 (/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) -1/2)

simplify130.0ms (7.1%)

Memory
30.0MiB live, 264.1MiB allocated; 20ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01835
13335
28035
328135
4172635
0965033
Stop Event
1×iter limit
1×node limit
Counts
9 → 8
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/36 (pow x 2))
(pow x 2)
x
(* 1/6 x)
(* 6 x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x)
(pow x 2)
(*.f64 x x)
x
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))

rewrite53.0ms (2.9%)

Memory
-34.3MiB live, 65.8MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
022106
031112
19396
049396
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
18 → 117
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))))
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
#s(literal 6 binary64)
(/.f64 (*.f64 x x) #s(literal 36 binary64))
(*.f64 x x)
x
#s(literal 36 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
(*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))
(*.f64 #s(literal 6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
Outputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 x #s(literal 36 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 6 binary64)) #s(literal -36 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (neg.f64 x) x)) #s(literal -36 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal -6 binary64) x)) #s(literal -36 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x)) #s(literal -36 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 36 binary64))
#s(literal 6 binary64)
(*.f64 (/.f64 x #s(literal 36 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 36 binary64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 36 binary64)))
(*.f64 x (/.f64 x #s(literal 36 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -36 binary64))
(/.f64 (*.f64 x x) #s(literal 36 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 36 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal -36 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 36 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 x #s(literal 36 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 6 binary64)) #s(literal -36 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (neg.f64 x) x)) #s(literal -36 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal -6 binary64) x)) #s(literal -36 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x)) #s(literal -36 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 36 binary64))
(*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 6 binary64) (/.f64 x #s(literal 36 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) x)) #s(literal 36 binary64))
(/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal -36 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 36 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -36 binary64)))
(*.f64 #s(literal 6 binary64) x)
(*.f64 x #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 x #s(literal 36 binary64)))
(*.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 6 binary64))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 6 binary64)) #s(literal -36 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) (*.f64 (neg.f64 x) x)) #s(literal -36 binary64))
(/.f64 (*.f64 x (*.f64 #s(literal -6 binary64) x)) #s(literal -36 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x)) #s(literal -36 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 6 binary64) x) x) #s(literal 36 binary64))
(*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 6 binary64) (/.f64 x #s(literal 36 binary64)))
(*.f64 x #s(literal 1/6 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) x)) #s(literal 36 binary64))
(/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal -36 binary64))
(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 36 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal -36 binary64)))
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) x) (/.f64 x #s(literal 36 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal 6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/6 binary64) x)) x))
(-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
(-.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x)))
(+.f64 (/.f64 (*.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)

eval9.0ms (0.5%)

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

Compiled 1 546 to 272 computations (82.4% saved)

prune6.0ms (0.3%)

Memory
12.1MiB live, 12.1MiB allocated; 0ms collecting garbage
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New92193
Fresh000
Picked044
Done033
Total928100
Accuracy
100.0%
Counts
100 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓99.9%
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))))
▶49.2%
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))))
✓50.3%
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Compiler

Compiled 112 to 87 computations (22.3% saved)

series3.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
8 → 7
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))))
(*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x)))
#s(literal 6 binary64)
#s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x)
(*.f64 #s(literal 1/36 binary64) x)
#s(literal 1/36 binary64)
x
Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 x)
x
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (- (* x x) 3) 6) (* 6 (/ (* x x) 36)) 6 (/ (* x x) 36) (* (* 1/36 x) x) (* 1/36 x) 1/36 x)
1.0ms
x
@inf
((/ (- (* x x) 3) 6) (* 6 (/ (* x x) 36)) 6 (/ (* x x) 36) (* (* 1/36 x) x) (* 1/36 x) 1/36 x)
1.0ms
x
@0
((/ (- (* x x) 3) 6) (* 6 (/ (* x x) 36)) 6 (/ (* x x) 36) (* (* 1/36 x) x) (* 1/36 x) 1/36 x)

simplify83.0ms (4.5%)

Memory
0.0MiB live, 92.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
13029
27729
328029
4173329
0968127
Stop Event
1×iter limit
1×node limit
Counts
7 → 6
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 x)
x
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x)
(* 1/36 x)
(*.f64 #s(literal 1/36 binary64) x)
x
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))

rewrite31.0ms (1.7%)

Memory
-13.2MiB live, 33.3MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
01756
15556
028056
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
8 → 15
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))))
(*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x)))
#s(literal 6 binary64)
#s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x)
(*.f64 #s(literal 1/36 binary64) x)
#s(literal 1/36 binary64)
x
Outputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x)) #s(literal 6 binary64)))
(*.f64 #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x)) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x)))
#s(literal 6 binary64)
#s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))
(*.f64 (*.f64 #s(literal 1/36 binary64) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1/36 binary64) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1/36 binary64) x) x)
(*.f64 #s(literal 1/36 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(*.f64 x (*.f64 #s(literal 1/36 binary64) x))
(*.f64 #s(literal 1/36 binary64) x)
(*.f64 x #s(literal 1/36 binary64))
#s(literal 1/36 binary64)
x

eval2.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 409 to 63 computations (84.6% saved)

prune5.0ms (0.3%)

Memory
10.4MiB live, 10.4MiB allocated; 0ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New19120
Fresh000
Picked011
Done077
Total19928
Accuracy
100.0%
Counts
28 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓99.9%
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
✓49.3%
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))))
49.2%
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
✓49.2%
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))))
✓50.3%
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Compiler

Compiled 325 to 166 computations (48.9% saved)

regimes114.0ms (6.2%)

Memory
-21.6MiB live, 38.6MiB allocated; 103ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
Calls

4 calls:

103.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1(*.f64 x x)
99.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.9%1x
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes21.0ms (1.1%)

Memory
-33.5MiB live, 18.7MiB allocated; 11ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 #s(literal 1/36 binary64) x) x))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 6 binary64) #s(approx (/ (* x x) 36) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
Calls

4 calls:

14.0ms
(*.f64 x x)
3.0ms
x
2.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1(*.f64 x x)
99.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.9%1x
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
Calls

4 calls:

2.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
1.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Results
AccuracySegmentsBranch
97.9%2(*.f64 x x)
97.9%2(-.f64 (*.f64 x x) #s(literal 3 binary64))
97.9%2(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
97.9%2x
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.3%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))
Calls

4 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.9%2(*.f64 x x)
97.9%2(-.f64 (*.f64 x x) #s(literal 3 binary64))
97.9%2(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
97.9%2x
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.2%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Calls

4 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
50.3%1(*.f64 x x)
50.3%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
50.3%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
50.3%1x
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch10.0ms (0.5%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
0.7062043373524043
20.04293246132413
Samples
4.0ms112×0valid
Compiler

Compiled 164 to 150 computations (8.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (44.5% of total)
ival-mult: 1.0ms (44.5% of total)
ival-sub: 0.0ms (0% 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)

bsearch1.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
0.7062043373524043
20.04293246132413
Compiler

Compiled 164 to 150 computations (8.5% saved)

simplify16.0ms (0.8%)

Memory
-25.6MiB live, 21.4MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02587
13287
25187
38087
410887
512587
613687
714087
814787
915587
1016387
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(if (<=.f64 x #s(literal 7656119366529843/4503599627370496 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

derivations144.0ms (7.8%)

Memory
-10.1MiB live, 126.8MiB allocated; 22ms collecting garbage
Stop Event
1×fuel
Compiler

Compiled 87 to 26 computations (70.1% saved)

preprocess27.0ms (1.5%)

Memory
10.0MiB live, 54.7MiB allocated; 6ms collecting garbage
Remove

(abs x)

Compiler

Compiled 212 to 82 computations (61.3% saved)

end0.0ms (0%)

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

Profiling

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