Metrics for Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

start0.0ms (0%)

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

analyze1.0ms (0%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample834.0ms (31.5%)

Memory

40.9MiB live, 974.2MiB allocated; 196ms collecting garbage

Samples

550.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-sub: 100.0ms (48.2% of total)

ival-div: 93.0ms (44.9% of total)

ival-true: 5.0ms (2.4% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (1% of total)

Bogosity

explain119.0ms (4.5%)

Memory

-8.3MiB live, 103.0MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

17.0ms

512×

valid

Compiler

Compiled 29 to 16 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (52.6% of total)

ival-sub: 3.0ms (39.5% 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)

preprocess304.0ms (11.5%)

Memory

-4.0MiB live, 272.9MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	14	13
2	19	13
3	32	11
4	73	11
5	285	10
6	2365	10
7	5713	10
0	4	5
0	6	5
1	8	5
2	11	5
3	21	5
4	54	5
5	243	5
6	2067	5
7	5355	5
0	8498	5

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))

Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Compiler

Compiled 5 to 4 computations (20% saved)

series2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

4 → 14

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 (* -1 x))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (/ 1 x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ x (- 1 x)) x (- 1 x) 1)
1.0ms	x	@	inf	((/ x (- 1 x)) x (- 1 x) 1)
0.0ms	x	@	0	((/ x (- 1 x)) x (- 1 x) 1)

simplify140.0ms (5.3%)

Memory

-29.6MiB live, 259.8MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	98
1	100	93
2	381	91
3	1390	85
4	5505	85
0	8285	82

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 (* -1 x))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (* x (- 1 (/ 1 x))))

Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)

rewrite36.0ms (1.4%)

Memory

15.8MiB live, 61.9MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	25	10
0	155	10

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 16

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

Outputs
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
x
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

eval3.0ms (0.1%)

Memory: 8.4MiB live, 8.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 297 to 77 computations (74.1% saved)

prune2.0ms (0.1%)

Memory

7.0MiB live, 7.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	24	4	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	5	29

Accuracy

100.0%

Counts

29 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	61.6%	(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
▶	48.1%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
▶	46.9%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	53.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 49 to 32 computations (34.7% saved)

series5.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Counts

14 → 31

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(fma.f64 x x x)
x
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
(fma.f64 (fma.f64 x x x) x x)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))

Outputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* x (+ 1 (pow x 3)))
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))))
1
(+ 1 (* -1 (pow x 3)))
(pow x 3)
(+ 1 x)
(+ 1 (* x (+ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (- 1 x)) -1 (/ x (- 1 x)) (+ (* x x) x) x (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (/ x (- 1 (pow x 3))) (- 1 (pow x 3)) 1 (pow x 3) 3 (+ (+ (* x x) x) 1))
1.0ms	x	@	inf	((/ x (- 1 x)) -1 (/ x (- 1 x)) (+ (* x x) x) x (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (/ x (- 1 (pow x 3))) (- 1 (pow x 3)) 1 (pow x 3) 3 (+ (+ (* x x) x) 1))
1.0ms	x	@	0	((/ x (- 1 x)) -1 (/ x (- 1 x)) (+ (* x x) x) x (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (/ x (- 1 (pow x 3))) (- 1 (pow x 3)) 1 (pow x 3) 3 (+ (+ (* x x) x) 1))

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (- 1 x)) -1 (/ x (- 1 x)) (+ (* x x) x) x (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (/ x (- 1 (pow x 3))) (- 1 (pow x 3)) 1 (pow x 3) 3 (+ (+ (* x x) x) 1))

1.0ms

inf

((/ x (- 1 x)) -1 (/ x (- 1 x)) (+ (* x x) x) x (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (/ x (- 1 (pow x 3))) (- 1 (pow x 3)) 1 (pow x 3) 3 (+ (+ (* x x) x) 1))

1.0ms

((/ x (- 1 x)) -1 (/ x (- 1 x)) (+ (* x x) x) x (/ x (- 1 x)) (+ (* (+ (* x x) x) x) x) (* (/ x (- 1 (pow x 3))) (+ (+ (* x x) x) 1)) (/ x (- 1 (pow x 3))) (- 1 (pow x 3)) 1 (pow x 3) 3 (+ (+ (* x x) x) 1))

simplify218.0ms (8.3%)

Memory

-24.6MiB live, 187.1MiB allocated; 128ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	288
1	234	275
2	1063	263
3	5141	259
0	8260	247

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 30

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(* x (+ 1 (pow x 3)))
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))))
1
(+ 1 (* -1 (pow x 3)))
(pow x 3)
(+ 1 x)
(+ 1 (* x (+ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))

Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(fma.f64 (fma.f64 (fma.f64 x x x) x x) x x)
(* x (+ 1 (pow x 3)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) x)
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 7 binary64)) x))
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* x (+ 1 x)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x x) x x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 7 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x)) x)
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 (fma.f64 x x x) x x)
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 7 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) x)) x)
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64)))

rewrite59.0ms (2.2%)

Memory

9.6MiB live, 53.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	80
0	25	80
1	112	71
0	1002	71

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

14 → 189

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(fma.f64 x x x)
x
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
(fma.f64 (fma.f64 x x x) x x)
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))

Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 x x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.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)) x)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) x)
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (fabs.f64 x) (fabs.f64 x) x)
(fma.f64 x x x)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 x x) x)))
(-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 x (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 x (*.f64 (neg.f64 x) x))
(-.f64 x (*.f64 x (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))
x
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
(*.f64 (-.f64 (fma.f64 x x x) #s(literal -1 binary64)) x)
(*.f64 x (-.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 x x x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (*.f64 (fma.f64 x x x) x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (.f64 (fma.f64 x x x) x)) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (*.f64 (fma.f64 x x x) x) x))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 x x x) x) x))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (.f64 (fma.f64 x x x) x)) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x x))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x x))
(fma.f64 (*.f64 x (neg.f64 x)) (neg.f64 x) (fma.f64 x x x))
(fma.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x) (fma.f64 x x x))
(fma.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) x (fma.f64 x x x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x x))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 x x x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x) x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) x) (fma.f64 x x x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x) (fma.f64 x x x))
(fma.f64 (*.f64 x x) x (fma.f64 x x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 (fma.f64 x x x) x x)
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x))
(fma.f64 x (*.f64 x x) (fma.f64 x x x))
(fma.f64 x (fma.f64 x x x) x)
(-.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 x x x) x) x)) (/.f64 (.f64 x x) (-.f64 (.f64 (fma.f64 x x x) x) x)))
(-.f64 x (*.f64 (neg.f64 (fma.f64 x x x)) x))
(-.f64 x (*.f64 (neg.f64 x) (fma.f64 x x x)))
(+.f64 (/.f64 (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (fma.f64 x x x) x)) (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 (fma.f64 x x x) x)) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 (fma.f64 x x x) x) x)
(+.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x))
(+.f64 x (*.f64 (fma.f64 x x x) x))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x x) x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x x) x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (-.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 x (/.f64 (-.f64 (fma.f64 x x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 (*.f64 (neg.f64 x) (-.f64 (fma.f64 x x x) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (-.f64 (fma.f64 x x x) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x))) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 x)) (.f64 (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (.f64 (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (neg.f64 x)) (.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64)) x) (.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (.f64 x (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (fma.f64 x x x) x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 x #s(literal -1 binary64))) x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(fma.f64 (fma.f64 x x x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (.f64 (neg.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 (/.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (-.f64 (fma.f64 x x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 x x)) x))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (.f64 x x)))
#s(literal 1 binary64)
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
#s(literal 3 binary64)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 (.f64 x x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x x (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (fma.f64 x x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) x))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))

eval40.0ms (1.5%)

Memory: -14.5MiB live, 85.4MiB allocated; 23ms collecting garbage
Compiler: Compiled 5 602 to 770 computations (86.3% saved)

prune9.0ms (0.3%)

Memory

-23.0MiB live, 23.6MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	282	3	285
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	283	7	290

Accuracy

100.0%

Counts

290 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	61.6%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
✓	48.1%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	46.9%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	46.9%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
▶	3.1%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	53.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 77 to 49 computations (36.4% saved)

series5.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated; 0ms collecting garbage

Counts

15 → 29

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
x
#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
#s(literal 1 binary64)
(.f64 (.f64 x x) x)
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x x x)

Outputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(pow x 2)
1
(+ 1 x)
(* x (+ 1 (pow x 3)))
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))))
(+ 1 (* -1 (pow x 3)))
(pow x 3)
(+ 1 (* x (+ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ x (- 1 x)) (+ (* x x) x) (* x x) x (/ x (- 1 x)) (* (- x -1) x) (- x -1) -1 (* (/ x (- 1 (* (* x x) x))) (+ (+ (* x x) x) 1)) (/ x (- 1 (* (* x x) x))) (- 1 (* (* x x) x)) 1 (* (* x x) x) (+ (+ (* x x) x) 1) (+ (* x x) x))
1.0ms	x	@	inf	((/ x (- 1 x)) (+ (* x x) x) (* x x) x (/ x (- 1 x)) (* (- x -1) x) (- x -1) -1 (* (/ x (- 1 (* (* x x) x))) (+ (+ (* x x) x) 1)) (/ x (- 1 (* (* x x) x))) (- 1 (* (* x x) x)) 1 (* (* x x) x) (+ (+ (* x x) x) 1) (+ (* x x) x))
1.0ms	x	@	0	((/ x (- 1 x)) (+ (* x x) x) (* x x) x (/ x (- 1 x)) (* (- x -1) x) (- x -1) -1 (* (/ x (- 1 (* (* x x) x))) (+ (+ (* x x) x) 1)) (/ x (- 1 (* (* x x) x))) (- 1 (* (* x x) x)) 1 (* (* x x) x) (+ (+ (* x x) x) 1) (+ (* x x) x))

Time

Variable

Point

Expression

2.0ms

-inf

((/ x (- 1 x)) (+ (* x x) x) (* x x) x (/ x (- 1 x)) (* (- x -1) x) (- x -1) -1 (* (/ x (- 1 (* (* x x) x))) (+ (+ (* x x) x) 1)) (/ x (- 1 (* (* x x) x))) (- 1 (* (* x x) x)) 1 (* (* x x) x) (+ (+ (* x x) x) 1) (+ (* x x) x))

1.0ms

inf

((/ x (- 1 x)) (+ (* x x) x) (* x x) x (/ x (- 1 x)) (* (- x -1) x) (- x -1) -1 (* (/ x (- 1 (* (* x x) x))) (+ (+ (* x x) x) 1)) (/ x (- 1 (* (* x x) x))) (- 1 (* (* x x) x)) 1 (* (* x x) x) (+ (+ (* x x) x) 1) (+ (* x x) x))

1.0ms

((/ x (- 1 x)) (+ (* x x) x) (* x x) x (/ x (- 1 x)) (* (- x -1) x) (- x -1) -1 (* (/ x (- 1 (* (* x x) x))) (+ (+ (* x x) x) 1)) (/ x (- 1 (* (* x x) x))) (- 1 (* (* x x) x)) 1 (* (* x x) x) (+ (+ (* x x) x) 1) (+ (* x x) x))

simplify193.0ms (7.3%)

Memory

-5.9MiB live, 271.2MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	264
1	222	251
2	981	241
3	5319	237
0	8320	230

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 28

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(pow x 2)
1
(+ 1 x)
(* x (+ 1 (pow x 3)))
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))))
(+ 1 (* -1 (pow x 3)))
(pow x 3)
(+ 1 (* x (+ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2)))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2))
(* -1 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))

Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(fma.f64 (fma.f64 (fma.f64 x x x) x x) x x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (pow x 3)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) x)
(* x (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 7 binary64)) x))
(* x (+ 1 (* (pow x 3) (+ 1 (* (pow x 3) (+ 1 (pow x 3)))))))
(.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) x)
(+ 1 (* -1 (pow x 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ 1 (* x (+ 1 x)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 3))) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x) x)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow x 3))) (pow x 6))) (+ 1 (/ 1 (pow x 3)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 x x))
(* -1 (pow x 3))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(* (pow x 3) (- (/ 1 (pow x 3)) 1))
(*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/ (- (* -1 (/ (+ 1 (+ (/ 1 (pow x 3)) (/ 1 (pow x 6)))) (pow x 3))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (- 1 (/ 1 (pow x 3)))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))

rewrite62.0ms (2.4%)

Memory

8.5MiB live, 64.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	94
0	28	87
1	110	75
0	974	75

Stop Event

1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Counts

15 → 209

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
x
#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))
#s(literal 1 binary64)
(.f64 (.f64 x x) x)
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x x x)

Outputs
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (+ (* x x) x) (*.f64 x x))
(*.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)
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(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
#s(literal 1 binary64)
(.f64 (.f64 (neg.f64 x) x) (neg.f64 x))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) x)
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 (.f64 x x) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)))
(fma.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 x x (-.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (fma.f64 x x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (fma.f64 x x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) x))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 x x))
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(+.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(.f64 (.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) x))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 x x) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x)) (-.f64 (.f64 x x) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.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)) x)
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) x)
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) x)
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) x)
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (fabs.f64 x) (fabs.f64 x) x)
(fma.f64 x x x)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) x)) (/.f64 (.f64 x x) (-.f64 (*.f64 x x) x)))
(-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))

eval30.0ms (1.1%)

Memory: -0.6MiB live, 43.4MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 432 to 682 computations (84.6% saved)

prune6.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	226	1	227
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	227	7	234

Accuracy

100.0%

Counts

234 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	61.6%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
✓	48.1%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	46.9%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	46.9%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
▶	47.3%	#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
✓	53.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 75 to 50 computations (33.3% saved)

series1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Counts

5 → 14

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)
#s(approx (- x -1) #s(literal 1 binary64))
#s(literal 1 binary64)
x

Outputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 x)
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	((/ x (- 1 x)) (* (- x -1) x) (- x -1) 1 x)
0.0ms	x	@	inf	((/ x (- 1 x)) (* (- x -1) x) (- x -1) 1 x)
0.0ms	x	@	0	((/ x (- 1 x)) (* (- x -1) x) (- x -1) 1 x)

simplify204.0ms (7.7%)

Memory

10.1MiB live, 286.6MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	92
1	97	88
2	359	86
3	1674	80
4	6562	80
0	9019	76

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 13

Calls

Call 1

Inputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
1
(+ 1 x)
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)

Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 (fma.f64 x x x) x x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x x))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1 binary64)))

rewrite53.0ms (2%)

Memory

-22.7MiB live, 85.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
0	10	27
1	40	27
0	252	27

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 6

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)
#s(approx (- x -1) #s(literal 1 binary64))
#s(literal 1 binary64)
x

Outputs
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- x -1) #s(literal 1 binary64)))
#s(approx (- x -1) #s(literal 1 binary64))
#s(literal 1 binary64)
x

eval2.0ms (0.1%)

Memory: 7.6MiB live, 7.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 214 to 42 computations (80.4% saved)

prune5.0ms (0.2%)

Memory

-30.7MiB live, 16.9MiB allocated; 1ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	16	7	23

Accuracy

100.0%

Counts

23 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	61.6%	(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
✓	48.1%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	46.9%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	46.9%	#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
✓	47.3%	#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
✓	53.5%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 179 to 86 computations (52% saved)

regimes6.0ms (0.2%)

Memory

26.1MiB live, 26.1MiB allocated; 0ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) x))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))

Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))

Calls

2 calls:

3.0ms	x
2.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
100.0%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`
100.0%	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes6.0ms (0.2%)

Memory

-34.3MiB live, 12.9MiB allocated; 1ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))

Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))

Calls

2 calls:

2.0ms	x
2.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.4%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`
98.4%	3	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))

Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x))

Calls

1 calls:

2.0ms

(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0.1%)

Memory

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

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))

Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))

Calls

1 calls:

1.0ms

(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
98.1%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))

Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x))

Calls

1 calls:

1.0ms

(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
97.1%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Accuracy

Total -33.2b remaining (-111.5%)

Threshold costs -33.2b (-111.5%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))

Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
53.5%	1	`x`
53.5%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9984960314063995	-0.11545952525420301

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9984960314063995	-0.11545952525420301

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9984960314063995	-0.11545952525420301

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9984960314063995	-0.11545952525420301

Compiler

Compiled 8 to 8 computations (0% saved)

simplify53.0ms (2%)

Memory

-12.9MiB live, 36.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	119
1	31	119
2	40	119
3	52	119
4	78	119
5	269	119
6	2498	119
7	6329	119

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 x x x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)))
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (fma.f64 x x x)))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(approx (/ x (- 1 x)) #s(literal -1 binary64)) #s(approx (/ x (- 1 x)) (*.f64 #s(approx (- x -1) #s(literal 1 binary64)) x)))
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

derivations203.0ms (7.7%)

Memory

45.5MiB live, 174.1MiB allocated; 28ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 119 to 27 computations (77.3% saved)

preprocess40.0ms (1.5%)

Memory: -34.6MiB live, 63.5MiB allocated; 22ms collecting garbage
Compiler: Compiled 248 to 62 computations (75% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample834.0ms (31.5%)

explain119.0ms (4.5%)

preprocess304.0ms (11.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series2.0ms (0.1%)

simplify140.0ms (5.3%)

rewrite36.0ms (1.4%)

eval3.0ms (0.1%)

prune2.0ms (0.1%)

series5.0ms (0.2%)

simplify218.0ms (8.3%)

rewrite59.0ms (2.2%)

eval40.0ms (1.5%)

prune9.0ms (0.3%)

series5.0ms (0.2%)

simplify193.0ms (7.3%)

rewrite62.0ms (2.4%)

eval30.0ms (1.1%)

prune6.0ms (0.2%)

series1.0ms (0%)

simplify204.0ms (7.7%)

rewrite53.0ms (2%)

eval2.0ms (0.1%)

prune5.0ms (0.2%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify53.0ms (2%)

derivations203.0ms (7.7%)

preprocess40.0ms (1.5%)

end0.0ms (0%)

Profiling