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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample763.0ms (30.3%)

Memory

-9.9MiB live, 823.8MiB allocated

Samples

492.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-mult: 198.0ms (60.8% of total)

ival-sub: 110.0ms (33.8% of total)

exact: 9.0ms (2.8% of total)

ival-true: 6.0ms (1.8% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain68.0ms (2.7%)

Memory

19.2MiB live, 92.9MiB 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

30.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 11.0ms (74.4% of total)

ival-sub: 2.0ms (13.5% of total)

exact: 1.0ms (6.8% of total)

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

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

preprocess18.0ms (0.7%)

Memory

-10.5MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	25	15
2	72	14
3	179	14
4	264	14
5	291	14
6	295	14
0	6	7
0	9	7
1	17	7
2	21	7
0	21	6

Stop Event

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

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 #s(literal 2 binary64) (*.f64 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

0.9MiB live, 0.9MiB 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)

simplify3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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	128	(-.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	17	18
2	21	18
0	21	17

Stop Event

1×	iter limit
1×	saturated
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 #s(literal 2 binary64) (*.f64 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)

localize24.0ms (1%)

Memory

-26.4MiB live, 30.4MiB 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

18.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 11.0ms (85.5% of total)

ival-sub: 1.0ms (7.8% 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

3.3MiB live, 3.3MiB 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
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))
1.0ms	x	@	0	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))

simplify89.0ms (3.5%)

Memory

7.0MiB live, 119.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	19	23
2	40	23
3	85	23
4	201	23
5	341	23
6	853	23
7	2363	23
8	3295	23
9	5522	23
0	8310	21

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

rewrite228.0ms (9.1%)

Memory

19.7MiB live, 220.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	173	15
3	1565	15
0	8552	14

Stop Event

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

Counts

3 → 244

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

eval52.0ms (2.1%)

Memory: 8.5MiB live, 46.3MiB allocated
Compiler: Compiled 7 077 to 646 computations (90.9% saved)

prune6.0ms (0.2%)

Memory

-21.3MiB live, 14.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	2	249

Accuracy

100.0%

Counts

249 → 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))
▶	47.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify3.0ms (0.1%)

Memory

4.8MiB live, 4.8MiB 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: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
0	13	21
1	23	21
0	23	21

Stop Event

1×	iter limit
1×	saturated
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)

localize24.0ms (0.9%)

Memory

1.1MiB live, 37.6MiB 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	33.8452076719085	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Samples

18.0ms

256×

valid

Compiler

Compiled 45 to 23 computations (48.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (65.7% of total)

ival-sub: 1.0ms (10.9% of total)

ival-add: 1.0ms (10.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

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))

simplify105.0ms (4.2%)

Memory

0.4MiB live, 85.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	21	23
2	40	23
3	83	23
4	199	23
5	338	23
6	817	23
7	2318	23
8	3243	23
9	5521	23
0	8316	21

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

rewrite219.0ms (8.7%)

Memory

0.5MiB live, 245.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
0	13	17
1	54	17
2	265	17
3	2476	17
0	8964	17

Stop Event

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

Counts

3 → 247

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 (pow.f64 (/.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))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.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))) (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (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))) #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)) (-.f64 #s(literal 1 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)))
(.f64 (/.f64 (fma.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 (fma.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 (neg.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 (/.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 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #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 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.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 (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 -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 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 -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.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)) (/.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)) (.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))))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 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 -1 binary64)))
(.f64 #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 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (.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)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.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 (.f64 (neg.f64 (pow.f64 (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 -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 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)))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 (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 3 binary64)) (pow.f64 (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 -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(literal 8 binary64) (/.f64 (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 (.f64 (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 -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 -1 binary64)))) (.f64 (.f64 #s(literal 8 binary64) (/.f64 (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))))) (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 -1 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #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 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (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)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 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 -1 binary64)))) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1 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 -1 binary64)))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
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(-.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)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (/.f64 (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 (/.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)))) (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 (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)) (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 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (.f64 (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 #s(literal 1 binary64) (.f64 (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 #s(literal 512 binary64) (pow.f64 x #s(literal 18 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))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) (/.f64 #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))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #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))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #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))))))
(-.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 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))) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 #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))) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (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))))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.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 -2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #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 64 binary64) (pow.f64 x #s(literal 12 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 -2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 (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))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 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 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 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 512 binary64) (pow.f64 x #s(literal 18 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 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 (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 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 #s(literal 8 binary64) (/.f64 (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 1 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 -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 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 (/.f64 (.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))) (neg.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 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)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (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))) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (neg.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)))
(-.f64 (/.f64 (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 #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)))
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.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 #s(literal 8 binary64) (/.f64 (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 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.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 (.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 (.f64 #s(literal 8 binary64) (/.f64 (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))))) (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 -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(-.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (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 (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)))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal 8 binary64) (/.f64 (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))))) (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 -1 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #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 2 binary64) x)
(*.f64 x #s(literal 2 binary64))

eval32.0ms (1.3%)

Memory: -20.4MiB live, 61.7MiB allocated
Compiler: Compiled 6 341 to 624 computations (90.2% saved)

prune4.0ms (0.2%)

Memory

16.3MiB live, 16.3MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	249	1	250
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	249	3	252

Accuracy

100.0%

Counts

252 → 3

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))
▶	53.6%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	47.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	11	23
1	19	23
2	23	23
0	23	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.7%)

Memory

-1.7MiB live, 35.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	29.718243293009934	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))

Samples

12.0ms

256×

valid

Compiler

Compiled 42 to 18 computations (57.1% saved)

Precisions

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

ival-mult: 3.0ms (62.6% of total)

ival-sub: 1.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 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
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))
0.0ms	x	@	0	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))

simplify89.0ms (3.5%)

Memory

-14.8MiB live, 110.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	19	23
2	40	23
3	85	23
4	201	23
5	342	23
6	854	23
7	2377	23
8	3309	23
9	5599	23
0	8395	21

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

rewrite158.0ms (6.2%)

Memory

27.1MiB live, 216.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	33	21
2	175	21
3	1562	21
0	8551	20

Stop Event

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

Counts

3 → 31

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: -28.3MiB live, 10.4MiB allocated
Compiler: Compiled 527 to 105 computations (80.1% saved)

prune3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	35	3	38

Accuracy

100.0%

Counts

38 → 3

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))
✓	53.6%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	47.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 63 to 39 computations (38.1% saved)

regimes7.0ms (0.3%)

Memory

18.7MiB live, 18.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

Calls

4 calls:

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

regimes47.0ms (1.9%)

Memory

-6.0MiB live, 48.3MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	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
98.9%	2	`x`
98.9%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
98.9%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
98.9%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.3%)

Memory

-25.0MiB live, 13.0MiB 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:

3.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
47.1%	1	`x`
47.1%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
47.1%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
47.1%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch9.0ms (0.4%)

Memory

15.2MiB live, 15.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.11185879873746878	565.8187080665659

Samples

4.0ms

128×

valid

Compiler

Compiled 170 to 162 computations (4.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (63% of total)

ival-mult: 1.0ms (63% of total)

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

exact: 0.0ms (0% of total)

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

simplify63.0ms (2.5%)

Memory

0.5MiB live, 37.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	23	43
2	29	43
3	38	43
4	57	43
5	96	43
6	180	43
7	405	43
8	1016	43
9	2723	43
10	5715	43

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

soundness434.0ms (17.2%)

Memory

4.3MiB live, 238.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	21	23
2	40	23
3	83	23
4	199	23
5	338	23
6	817	23
7	2318	23
8	3243	23
9	5521	23
0	8316	21
0	10	23
1	19	23
2	40	23
3	85	23
4	201	23
5	341	23
6	853	23
7	2363	23
8	3295	23
9	5522	23
0	8310	21
0	6	15
0	9	15
1	31	15
2	173	15
3	1565	15
0	8552	14

Stop Event

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

Compiler

Compiled 64 to 36 computations (43.8% saved)

preprocess32.0ms (1.3%)

Memory: 7.5MiB live, 42.5MiB allocated
Remove: (abs x)
Compiler: Compiled 112 to 56 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample763.0ms (30.3%)

explain68.0ms (2.7%)

preprocess18.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize24.0ms (1%)

series2.0ms (0.1%)

simplify89.0ms (3.5%)

rewrite228.0ms (9.1%)

eval52.0ms (2.1%)

prune6.0ms (0.2%)

simplify3.0ms (0.1%)

localize24.0ms (0.9%)

series2.0ms (0.1%)

simplify105.0ms (4.2%)

rewrite219.0ms (8.7%)

eval32.0ms (1.3%)

prune4.0ms (0.2%)

simplify3.0ms (0.1%)

localize17.0ms (0.7%)

series2.0ms (0.1%)

simplify89.0ms (3.5%)

rewrite158.0ms (6.2%)

eval5.0ms (0.2%)

prune3.0ms (0.1%)

regimes7.0ms (0.3%)

regimes47.0ms (1.9%)

regimes7.0ms (0.3%)

bsearch9.0ms (0.4%)

simplify63.0ms (2.5%)

soundness434.0ms (17.2%)

preprocess32.0ms (1.3%)

end0.0ms (0%)

Profiling