Metrics for Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample726.0ms (15.4%)

Memory

69.0MiB live, 898.8MiB allocated

Samples

417.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-mult: 160.0ms (60.7% of total)

ival-sub: 86.0ms (32.6% of total)

exact: 9.0ms (3.4% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain148.0ms (3.2%)

Memory

-53.3MiB live, 111.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 (.f64 x x) #s(literal 2 binary64))`
-	-	`(*.f64 x x)`
-	-	`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

63.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (62.9% of total)

ival-sub: 3.0ms (27% of total)

exact: 1.0ms (9% of total)

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

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

preprocess380.0ms (8.1%)

Memory

-1.1MiB live, 331.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	23	15
2	61	15
3	108	15
4	207	15
5	270	15
6	379	14
7	808	14
8	1398	14
9	2548	14
10	4546	14
0	6	7
0	9	7
1	19	7
2	44	7
3	110	7
4	185	7
5	246	7
6	344	7
7	703	7
8	1174	7
9	2258	7
10	4189	7
0	8110	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify241.0ms (5.1%)

Memory

22.2MiB live, 162.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	1	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	44	18
3	110	18
4	185	18
5	246	18
6	344	18
7	703	18
8	1174	18
9	2258	18
10	4189	18
0	8110	17

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1 binary64)

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

localize15.0ms (0.3%)

Memory

25.6MiB live, 25.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 2 binary64))

Samples

10.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (59.3% of total)

ival-sub: 1.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

series44.0ms (0.9%)

Memory

-39.4MiB live, 5.8MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)

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

Calls

3 calls:

Time	Variable		Point	Expression
42.0ms	x	@	0	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
1.0ms	x	@	inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
1.0ms	x	@	-inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))

simplify305.0ms (6.5%)

Memory

33.2MiB live, 363.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	17	27
2	37	27
3	100	27
4	224	27
5	403	27
6	740	27
7	1228	27
8	2174	27
9	3772	27
0	8327	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

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

rewrite183.0ms (3.9%)

Memory

-6.1MiB live, 276.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	189	15
3	1925	15
0	9377	14

Stop Event

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

Counts

3 → 256

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 x x) #s(literal 1 binary64)))) (-.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (.f64 x x) #s(literal 1 binary64))) (.f64 (.f64 x x) (-.f64 (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -2 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 18 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) (.f64 (/.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (-.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
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(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))) (.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (/.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #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)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))

eval34.0ms (0.7%)

Memory: 7.2MiB live, 110.0MiB allocated
Compiler: Compiled 5 762 to 653 computations (88.7% saved)

prune6.0ms (0.1%)

Memory

-25.5MiB live, 21.6MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	259	2	261
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	260	2	262

Accuracy

100.0%

Counts

262 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
▶	54.9%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify278.0ms (5.9%)

Memory

-6.9MiB live, 362.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
cost-diff	0	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	22
0	13	22
1	27	22
2	61	22
3	161	21
4	280	21
5	332	21
6	430	21
7	798	21
8	1265	21
9	2349	21
10	4289	21
0	8224	21

Stop Event

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

Calls

Call 1

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

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

localize47.0ms (1%)

Memory

-10.9MiB live, 34.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	28.87862101429012	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Samples

40.0ms

256×

valid

Compiler

Compiled 23 to 12 computations (47.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 31.0ms (90.4% of total)

ival-sub: 1.0ms (2.9% of total)

ival-add: 1.0ms (2.9% 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%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 5

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* (* x x) 2) 1) (+ (* (* 2 x) x) -1) (* 2 x))
0.0ms	x	@	inf	((- (* (* x x) 2) 1) (+ (* (* 2 x) x) -1) (* 2 x))
0.0ms	x	@	0	((- (* (* x x) 2) 1) (+ (* (* 2 x) x) -1) (* 2 x))

simplify319.0ms (6.8%)

Memory

37.3MiB live, 355.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	20	27
2	36	27
3	97	27
4	224	27
5	403	27
6	740	27
7	1221	27
8	2183	27
9	3782	27
0	8352	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

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

rewrite188.0ms (4%)

Memory

-28.1MiB live, 262.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
0	13	18
1	59	18
2	300	15
0	3973	13

Stop Event

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

Counts

3 → 1 065

Calls

Call 1

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

Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) x (fma.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal -2 binary64) x (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) x (-.f64 (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))) (.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))))))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 x)) (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 16 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 64 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 64 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 64 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) #s(literal 4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))) (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 #s(literal 512 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 #s(literal 512 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 512 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 512 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 512 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 512 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64)))
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1 binary64)) (.f64 x x))
(fma.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (neg.f64 x) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 x) x (*.f64 (neg.f64 x) x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 x x))
(fma.f64 #s(literal 1 binary64) x x)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) x)) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) x)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) x)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 #s(literal 2 binary64) (-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -1 binary64) (.f64 x x))) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) x (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x)) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x)) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) #s(literal -2 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 x x))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x))
(fma.f64 (.f64 x x) (.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (*.f64 x x)))
(fma.f64 x #s(literal -2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 x #s(literal -2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 x (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(fma.f64 x (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 x (neg.f64 x) (*.f64 (neg.f64 x) x))
(fma.f64 x #s(literal 1 binary64) x)
(fma.f64 x #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(fma.f64 x #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
(fma.f64 x (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x x (*.f64 x x))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x x))
(-.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(-.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x))
(hypot.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) x))
(hypot.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)))
(hypot.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)) (.f64 #s(literal -2 binary64) x))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(hypot.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(hypot.f64 (exp.f64 (log.f64 x)) (neg.f64 x))
(hypot.f64 (exp.f64 (log.f64 x)) x)
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(hypot.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))
(hypot.f64 (.f64 (neg.f64 x) x) (.f64 x x))
(hypot.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(hypot.f64 (.f64 #s(literal -2 binary64) x) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3/4 binary64)))
(hypot.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(hypot.f64 (neg.f64 x) (exp.f64 (log.f64 x)))
(hypot.f64 (neg.f64 x) (neg.f64 x))
(hypot.f64 (neg.f64 x) x)
(hypot.f64 (.f64 x x) (.f64 (neg.f64 x) x))
(hypot.f64 (.f64 x x) (.f64 x x))
(hypot.f64 x (exp.f64 (log.f64 x)))
(hypot.f64 x (neg.f64 x))
(hypot.f64 x x)
(exp.f64 (fma.f64 (log.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64) (.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 (.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 x x)) (.f64 #s(literal -1 binary64) (.f64 x x)))
(+.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) (.f64 #s(literal -1 binary64) (.f64 x x))))
(+.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 x x)

eval234.0ms (5%)

Memory: 19.9MiB live, 352.1MiB allocated
Compiler: Compiled 13 581 to 1 845 computations (86.4% saved)

prune32.0ms (0.7%)

Memory

14.9MiB live, 58.2MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	1 067	2	1 069
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1 068	3	1 071

Accuracy

100.0%

Counts

1 071 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
▶	57.6%	(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
✓	54.9%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 19 to 16 computations (15.8% saved)

simplify273.0ms (5.8%)

Memory

-8.1MiB live, 331.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x x)
cost-diff	0	(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	11	18
1	19	18
2	41	18
3	76	18
4	161	18
5	253	18
6	437	18
7	742	18
8	1206	18
9	2144	18
10	3787	18
0	8289	18

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
x
#s(literal 2 binary64)
#s(literal -1 binary64)
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(+.f64 x x)
x
#s(literal -1 binary64)

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

localize22.0ms (0.5%)

Memory

-6.2MiB live, 40.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

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

ival-mult: 3.0ms (39.4% 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%)

Memory

3.7MiB live, 3.7MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(+.f64 x x)

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ (* x 2) -1) (+ (* (+ x x) x) -1) (+ x x))
1.0ms	x	@	inf	((+ (* x 2) -1) (+ (* (+ x x) x) -1) (+ x x))
0.0ms	x	@	0	((+ (* x 2) -1) (+ (* (+ x x) x) -1) (+ x x))

simplify186.0ms (4%)

Memory

-5.0MiB live, 174.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	47
1	33	47
2	61	47
3	135	47
4	366	47
5	836	47
6	1390	47
7	2083	47
8	3053	47
9	5495	47
0	8174	45

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

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

rewrite65.0ms (1.4%)

Memory

3.7MiB live, 49.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	11	11
1	50	11
0	476	11

Stop Event

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

Counts

3 → 157

Calls

Call 1

Inputs
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(+.f64 x x)

Outputs
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) x)) (fabs.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x)))
(+.f64 (+.f64 #s(literal -1 binary64) x) x)
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) x)) (fabs.f64 (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -1 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x)))
(+.f64 (+.f64 #s(literal -1 binary64) x) x)
(+.f64 (/.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 x (+.f64 x #s(literal -1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(.f64 (fabs.f64 (.f64 #s(literal 2 binary64) x)) (fabs.f64 (*.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(literal 4 binary64))
(.f64 (.f64 x x) (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (*.f64 x x))
(.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 x #s(literal -1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(.f64 x (.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 #s(literal 4 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 (.f64 #s(literal 2 binary64) x)) (fabs.f64 (.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x x) #s(literal 4 binary64) (.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 x #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 x x) (.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 x (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))
(fma.f64 x #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x))
(+.f64 x x)

eval14.0ms (0.3%)

Memory: 29.2MiB live, 29.2MiB allocated
Compiler: Compiled 1 272 to 276 computations (78.3% saved)

prune45.0ms (1%)

Memory

-50.1MiB live, 59.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	124	3	127

Accuracy

100.0%

Counts

127 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
✓	57.6%	(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
✓	54.9%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 51 to 34 computations (33.3% saved)

regimes9.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

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

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
100.0%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (0.2%)

Memory

-29.9MiB live, 15.9MiB allocated

Counts

2 → 1

Calls

Call 1

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

Outputs
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))

Calls

4 calls:

4.0ms	x
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
57.6%	1	`x`
57.6%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
57.6%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
57.6%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

13.5MiB live, 13.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
54.9%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
54.9%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
54.9%	1	`(*.f64 x x)`
54.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify63.0ms (1.3%)

Memory

21.6MiB live, 67.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	21	19
2	46	19
3	112	19
4	185	19
5	250	19
6	364	19
7	751	19
8	1282	19
9	2651	19
10	6001	19
11	7835	19

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

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

soundness780.0ms (16.6%)

Memory

-14.1MiB live, 510.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
0	13	18
1	59	18
2	300	15
0	3973	13
0	10	27
1	17	27
2	37	27
3	100	27
4	224	27
5	403	27
6	740	27
7	1228	27
8	2174	27
9	3772	27
0	8327	26
0	6	15
0	9	15
1	34	15
2	189	15
3	1925	15
0	9377	14

Stop Event

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

preprocess49.0ms (1%)

Memory: -6.6MiB live, 39.6MiB allocated
Remove: (abs x)
Compiler: Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample726.0ms (15.4%)

explain148.0ms (3.2%)

preprocess380.0ms (8.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify241.0ms (5.1%)

localize15.0ms (0.3%)

series44.0ms (0.9%)

simplify305.0ms (6.5%)

rewrite183.0ms (3.9%)

eval34.0ms (0.7%)

prune6.0ms (0.1%)

simplify278.0ms (5.9%)

localize47.0ms (1%)

series2.0ms (0%)

simplify319.0ms (6.8%)

rewrite188.0ms (4%)

eval234.0ms (5%)

prune32.0ms (0.7%)

simplify273.0ms (5.8%)

localize22.0ms (0.5%)

series2.0ms (0%)

simplify186.0ms (4%)

rewrite65.0ms (1.4%)

eval14.0ms (0.3%)

prune45.0ms (1%)

regimes9.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

simplify63.0ms (1.3%)

soundness780.0ms (16.6%)

preprocess49.0ms (1%)

end0.0ms (0%)

Profiling