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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

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)

sample731.0ms (20.5%)

Memory

-26.1MiB live, 656.2MiB allocated

Samples

499.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 289.0ms

ival-div: 180.0ms (62.2% of total)

ival-sub: 96.0ms (33.2% of total)

ival-true: 5.0ms (1.7% of total)

exact: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain127.0ms (3.6%)

Memory

1.4MiB live, 40.0MiB allocated

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 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (54.4% of total)

ival-sub: 3.0ms (40.8% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.5%)

Memory

9.1MiB live, 9.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	196	10
5	285	10
6	296	10
7	310	10
8	323	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

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)

simplify5.0ms (0.1%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize13.0ms (0.4%)

Memory

7.2MiB live, 7.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(-.f64 #s(literal 1 binary64) x)
accuracy	0.00390625	(/.f64 x (-.f64 #s(literal 1 binary64) x))

Samples

8.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (56.9% of total)

ival-sub: 1.0ms (28.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Counts

2 → 14

Calls

Call 1

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

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
0.0ms	x	@	-inf	((/ x (- 1 x)) (- 1 x))
0.0ms	x	@	inf	((/ x (- 1 x)) (- 1 x))
0.0ms	x	@	0	((/ x (- 1 x)) (- 1 x))

simplify164.0ms (4.6%)

Memory

-28.1MiB live, 28.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	92
1	93	85
2	220	79
3	554	77
4	1071	77
5	1985	77
6	3580	77
7	4781	77
8	4898	77
9	4898	77
10	5060	77
11	5135	77
12	5135	77
0	5135	74

Stop Event

1×	iter limit
1×	saturated

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 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64)))
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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite220.0ms (6.2%)

Memory

-7.4MiB live, 153.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	29	8
2	183	8
3	1611	8
0	9270	8

Stop Event

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

Counts

2 → 419

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x x))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) x x))
(.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) (.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #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))) (pow.f64 (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(.f64 (.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (fma.f64 x x x) x x) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x x x) x x))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 x (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (/.f64 (-.f64 #s(literal -1 binary64) x) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (.f64 (.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
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(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval50.0ms (1.4%)

Memory: 0.4MiB live, 111.4MiB allocated
Compiler: Compiled 10 119 to 1 282 computations (87.3% saved)

prune6.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	426	3	429
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	426	4	430

Accuracy

100.0%

Counts

430 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
▶	50.6%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
▶	49.7%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	50.2%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify38.0ms (1.1%)

Memory

-22.6MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(fma.f64 (fma.f64 x x x) x x)
cost-diff	0	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
cost-diff	0	(fma.f64 x x x)
cost-diff	0	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
cost-diff	0	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	48
0	14	48
1	25	48
2	43	48
3	81	48
4	96	48
5	140	48
6	170	48
7	281	48
8	498	48
9	648	48
10	826	48
11	1073	48
12	1164	48
13	1225	48
14	1230	48
0	1230	48

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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)
(fma.f64 x x x)
x

Outputs
#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)
(fma.f64 x x x)
x

localize57.0ms (1.6%)

Memory

5.0MiB live, 44.0MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x x)
accuracy	0.0546875	(fma.f64 (fma.f64 x x x) x x)
accuracy	31.628700252631543	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
accuracy	0.0	(fma.f64 x x x)
accuracy	32.187290973169375	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
accuracy	31.86906573071175	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 87 to 21 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (27.6% of total)

ival-mult: 3.0ms (27.6% of total)

ival-sub: 2.0ms (18.4% of total)

ival-add: 2.0ms (18.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

5 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

-inf

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

1.0ms

inf

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

0.0ms

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

simplify227.0ms (6.4%)

Memory

-15.8MiB live, 137.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	115
1	108	111
2	297	103
3	955	101
4	3356	101
5	7213	101
0	8174	92

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 14

Calls

Call 1

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

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 (+.f64 (pow.f64 x #s(literal 3 binary64)) 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 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x x) x x)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 (fma.f64 x x x) x x)

rewrite413.0ms (11.6%)

Memory

27.2MiB live, 145.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
0	14	41
1	65	41
2	456	41
3	5162	41
0	9723	41

Stop Event

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

Counts

5 → 361

Calls

Call 1

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

Outputs
#s(approx (/ x (- 1 x)) #s(literal -1 binary64))
#s(approx (/ x (- 1 x)) (fma.f64 x x x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (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 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (fma.f64 x x x)))
(.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (pow.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) (fma.f64 x x x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 x x x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -3 binary64))) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 x x x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x x))
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(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x x)) x)
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) x) (neg.f64 x))
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) x) x)
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x))) (neg.f64 (.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x)))))
(fma.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) x) (neg.f64 x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) x) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 (fma.f64 x x x) x x)) (neg.f64 (.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x)))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) x)
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (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 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (*.f64 x x) (fma.f64 x x x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (fma.f64 x x x) x))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x x) x x)) (neg.f64 (.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x)))))
(fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x) (neg.f64 x))
(fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 x x) (neg.f64 x) (fma.f64 x x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) x (fma.f64 x x x))
(fma.f64 (.f64 (fma.f64 x x x) x) (/.f64 (.f64 (fma.f64 x x x) x) (fma.f64 (fma.f64 x x x) x x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x)))))
(fma.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 x x x) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) x x)) (neg.f64 (.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x)))))
(fma.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (fma.f64 x x x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (fma.f64 x x x) x (neg.f64 x))
(fma.f64 (fma.f64 x x x) x x)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x) (.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (fma.f64 (neg.f64 x) x x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (fma.f64 x x x) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 (fma.f64 x x x) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (fma.f64 x x x) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) x) x)
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 (neg.f64 x) x x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (fma.f64 x x x) x))
(fma.f64 x (exp.f64 (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 x))
(fma.f64 x (exp.f64 (+.f64 (log1p.f64 x) (log.f64 x))) x)
(fma.f64 x (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) x x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x)))))
(fma.f64 x (*.f64 (neg.f64 x) x) (fma.f64 x x x))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 x x) (fma.f64 x x x))
(fma.f64 x (fma.f64 x x x) (neg.f64 x))
(fma.f64 x (fma.f64 x x x) x)
(fma.f64 x #s(literal -1 binary64) (*.f64 (fma.f64 x x x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 x) x x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (fma.f64 x x x) x))
(fma.f64 x x (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(fma.f64 x x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 x x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 x x (*.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(fma.f64 x x (*.f64 x (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (fma.f64 (fma.f64 x x x) x #s(literal 0 binary64)) x)
(-.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 x x x) x x) x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (*.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x x) x x)))
(-.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x x) x x)) (*.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x))))
(-.f64 (*.f64 (fma.f64 x x x) x) x)
(-.f64 (fma.f64 x x x) (pow.f64 x #s(literal 3 binary64)))
(-.f64 x (*.f64 (fma.f64 x x x) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (+.f64 x (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(+.f64 (.f64 (fma.f64 x x #s(literal 1 binary64)) x) (.f64 x x))
(+.f64 (.f64 x (fma.f64 x x #s(literal 1 binary64))) (.f64 x x))
(+.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x x) x x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (fma.f64 x x x) x x)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x))
(+.f64 (neg.f64 x) (*.f64 (fma.f64 x x x) x))
(+.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))
(+.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(+.f64 (.f64 x x) (.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(+.f64 (.f64 x x) (.f64 x (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 x x x) x) (neg.f64 x))
(+.f64 (*.f64 (fma.f64 x x x) x) x)
(+.f64 (fma.f64 x x x) (pow.f64 x #s(literal 3 binary64)))
(+.f64 x (*.f64 (fma.f64 (neg.f64 x) x x) x))
(+.f64 x (*.f64 (fma.f64 x x x) x))

eval54.0ms (1.5%)

Memory: 0.5MiB live, 112.2MiB allocated
Compiler: Compiled 11 526 to 1 269 computations (89% saved)

prune10.0ms (0.3%)

Memory

-8.4MiB live, 37.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	489	2	491
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	489	6	495

Accuracy

100.0%

Counts

495 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.6%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	49.7%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
▶	4.1%	#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x)))
▶	3.3%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	50.2%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 72 to 44 computations (38.9% saved)

simplify38.0ms (1.1%)

Memory

-3.1MiB live, 36.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x x x)
cost-diff	0	(*.f64 (fma.f64 x x x) x)
cost-diff	0	#s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x))
cost-diff	0	#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) x) (*.f64 x x))
cost-diff	0	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	73
0	19	73
1	30	73
2	49	73
3	87	73
4	102	73
5	144	73
6	174	73
7	285	73
8	475	73
9	627	73
10	804	73
11	1049	73
12	1138	73
13	1199	73
14	1204	73
0	1204	71

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize25.0ms (0.7%)

Memory

19.8MiB live, 58.7MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x x)
accuracy	0.0546875	(*.f64 (fma.f64 x x x) x)
accuracy	30.800357095552823	#s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x))
accuracy	31.628700252631543	#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x)))
accuracy	0.0	(*.f64 x x)
accuracy	31.330112344010335	#s(approx (+ (* x x) x) (*.f64 x x))
accuracy	32.187290973169375	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))

Samples

17.0ms

256×

valid

Compiler

Compiled 120 to 25 computations (79.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (40.1% of total)

ival-sub: 2.0ms (20.1% of total)

ival-div: 2.0ms (20.1% of total)

ival-add: 2.0ms (20.1% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

-32.6MiB live, 5.4MiB allocated

Counts

7 → 16

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)
#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x)))
#s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
(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)
(* (pow x 2) (+ 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)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 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)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify147.0ms (4.1%)

Memory

26.4MiB live, 176.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	120
1	112	116
2	303	110
3	959	108
4	3378	108
5	6783	108
0	8265	98

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) 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 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 x x x) x x)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 (fma.f64 x x x) x x)

rewrite259.0ms (7.3%)

Memory

-7.3MiB live, 207.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	71
0	19	71
1	70	71
2	463	71
3	5161	71
0	9724	69

Stop Event

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

Counts

7 → 221

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)
#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x)))
#s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x))
(*.f64 (fma.f64 x x x) x)
(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 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x)))
#s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x))
(.f64 (exp.f64 (log1p.f64 x)) (.f64 x x))
(*.f64 (exp.f64 (+.f64 (log1p.f64 x) (log.f64 x))) x)
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 x (pow.f64 x #s(literal 3/2 binary64))) (-.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x x)))
(.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) x))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 (fma.f64 x x x) x) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 x x x) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x x) x)
(.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x x) x))
(*.f64 x (exp.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(*.f64 x (fma.f64 x x x))
(pow.f64 (/.f64 (fma.f64 x x x) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (+.f64 (log1p.f64 x) (log.f64 x))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (log.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) x) (fma.f64 x x x))
(/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 x x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 x) x x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 x (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x x))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (neg.f64 x) x x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 x x x) x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x x) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 x (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (.f64 (neg.f64 x) x) x (.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (.f64 x x) (.f64 x x))
(fma.f64 (.f64 x x) (neg.f64 x) (.f64 x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (.f64 x x) x (.f64 x x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (.f64 (neg.f64 x) x) (.f64 x x))
(fma.f64 x (.f64 x x) (.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x x) x)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 x x x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log1p.f64 x)) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log1p.f64 x)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 7 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (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 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 x x x) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 x x x) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (.f64 (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (fma.f64 x x x)))
(.f64 (fma.f64 x x x) (.f64 (fma.f64 x x x) (pow.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) (fma.f64 x x x))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (fma.f64 x x x))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -3 binary64))) (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 x x x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x x)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) x x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 x x x) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 (neg.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 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x x) #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 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x x) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(neg.f64 (fma.f64 (neg.f64 x) x x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x (neg.f64 x))
(fma.f64 x x x)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) x)
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (*.f64 x x) x)
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)))
(-.f64 x (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(+.f64 (neg.f64 x) (*.f64 x x))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 (neg.f64 x) x))
(+.f64 x (*.f64 x x))

eval24.0ms (0.7%)

Memory: 12.1MiB live, 49.5MiB allocated
Compiler: Compiled 6 877 to 1 005 computations (85.4% saved)

prune18.0ms (0.5%)

Memory

-23.9MiB live, 14.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	233	6	239

Accuracy

100.0%

Counts

239 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 x (-.f64 #s(literal 1 binary64) x))
✓	50.6%	#s(approx (/ x (- 1 x)) (fma.f64 (fma.f64 x x x) x x))
✓	49.7%	#s(approx (/ x (- 1 x)) (fma.f64 x x x))
✓	4.1%	#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) x)))
✓	3.3%	#s(approx (/ x (- 1 x)) #s(approx (+ (* x x) x) (*.f64 x x)))
✓	50.2%	#s(approx (/ x (- 1 x)) #s(literal -1 binary64))

Compiler

Compiled 144 to 67 computations (53.5% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

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)) (fma.f64 x x x))
#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x x x) 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
97.6%	3	`x`
97.6%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes2.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

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)) (fma.f64 x x x))
#s(approx (/ x (- 1 x)) #s(approx (+ (* (+ (* x x) x) x) x) (*.f64 (fma.f64 x 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:

2.0ms

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

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated

Accuracy

Total -30.9b remaining (-97.1%)

Threshold costs -30.9b (-97.1%)

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
50.2%	1	`x`
50.2%	1	`(/.f64 x (-.f64 #s(literal 1 binary64) x))`

Compiler

Compiled 6 to 5 computations (16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.5615396101083471	-0.2899380382527143

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.5615396101083471	-0.2899380382527143

Compiler

Compiled 8 to 8 computations (0% saved)

simplify96.0ms (2.7%)

Memory

-17.9MiB live, 61.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	65
1	22	65
2	28	65
3	35	65
4	46	65
5	60	65
6	114	65
7	247	65
8	3908	65
9	6151	65

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

soundness776.0ms (21.8%)

Memory

-4.7MiB live, 155.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	92
1	93	85
2	220	79
3	554	77
4	1071	77
5	1985	77
6	3580	77
7	4781	77
8	4898	77
9	4898	77
10	5060	77
11	5135	77
12	5135	77
0	5135	74

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 79 to 28 computations (64.6% saved)

preprocess24.0ms (0.7%)

Memory: -3.0MiB live, 34.4MiB allocated
Compiler: Compiled 140 to 42 computations (70% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	196	10
5	285	10
6	296	10
7	310	10
8	323	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	196	10
5	285	10
6	296	10
7	310	10
8	323	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10

start0.0ms (0%)

analyze1.0ms (0%)

sample731.0ms (20.5%)

explain127.0ms (3.6%)

preprocess18.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.1%)

localize13.0ms (0.4%)

series1.0ms (0%)

simplify164.0ms (4.6%)

rewrite220.0ms (6.2%)

eval50.0ms (1.4%)

prune6.0ms (0.2%)

simplify38.0ms (1.1%)

localize57.0ms (1.6%)

series2.0ms (0.1%)

simplify227.0ms (6.4%)

rewrite413.0ms (11.6%)

eval54.0ms (1.5%)

prune10.0ms (0.3%)

simplify38.0ms (1.1%)

localize25.0ms (0.7%)

series5.0ms (0.1%)

simplify147.0ms (4.1%)

rewrite259.0ms (7.3%)

eval24.0ms (0.7%)

prune18.0ms (0.5%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes2.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify96.0ms (2.7%)

soundness776.0ms (21.8%)

preprocess24.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	15
1	20	11
2	47	10
3	100	10
4	196	10
5	285	10
6	296	10
7	310	10
8	323	10
0	4	5
0	6	5
1	10	5
2	14	5
3	19	5
4	26	5
5	36	5
6	51	5
7	74	5
8	96	5
9	104	5
10	106	5
0	106	5

Iter	Nodes	Cost
0	4	10
0	6	10
1	10	10
2	14	10
3	19	10
4	26	10
5	36	10
6	51	10
7	74	10
8	96	10
9	104	10
10	106	10
0	106	10