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

0.4MiB live, 0.4MiB 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)

sample915.0ms (17.3%)

Memory

13.8MiB live, 636.8MiB allocated

Samples

559.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 389.0ms

ival-mult: 336.0ms (86.4% of total)

ival-sub: 37.0ms (9.5% of total)

exact: 8.0ms (2.1% of total)

ival-true: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain97.0ms (1.8%)

Memory

-0.8MiB live, 87.7MiB 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

38.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 23.0ms (85.5% of total)

ival-sub: 2.0ms (7.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess243.0ms (4.6%)

Memory

-12.1MiB live, 382.5MiB 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

0.9MiB 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)

simplify158.0ms (3%)

Memory

-1.5MiB live, 230.0MiB 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

31.1MiB live, 31.1MiB allocated

Localize:

Found 3 expressions of interest:

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

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 (58.8% of total)

ival-sub: 1.0ms (19.6% 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

5.0MiB live, 5.0MiB 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))

simplify278.0ms (5.2%)

Memory

-30.9MiB live, 345.3MiB 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)

rewrite279.0ms (5.3%)

Memory

46.6MiB live, 415.3MiB 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))))

eval41.0ms (0.8%)

Memory: -10.9MiB live, 96.0MiB allocated
Compiler: Compiled 5 762 to 653 computations (88.7% saved)

prune6.0ms (0.1%)

Memory

-30.2MiB live, 16.9MiB 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 x x) #s(literal 2 binary64) #s(literal -1 binary64))
▶	52.9%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify181.0ms (3.4%)

Memory

12.4MiB live, 243.6MiB 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) #s(literal 2 binary64) #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	24	22
2	58	22
3	158	21
4	281	21
5	333	21
6	431	21
7	799	21
8	1267	21
9	2339	21
10	4273	21
0	8201	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 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal -1 binary64)

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

localize18.0ms (0.3%)

Memory

34.6MiB live, 34.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	30.12234744854969	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 23 to 10 computations (56.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (47.3% of total)

ival-sub: 1.0ms (15.8% of total)

ival-add: 1.0ms (15.8% 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%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 5

Calls

Call 1

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

Outputs
-1
(- (* 2 (pow x 2)) 1)
(pow x 2)
(* 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) -1) (* x x))
1.0ms	x	@	inf	((- (* (* x x) 2) 1) (+ (* (* x x) 2) -1) (* x x))
0.0ms	x	@	0	((- (* (* x x) 2) 1) (+ (* (* x x) 2) -1) (* x x))

simplify309.0ms (5.8%)

Memory

-36.6MiB live, 302.1MiB 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	402	27
6	739	27
7	1227	27
8	2174	27
9	3769	27
0	8060	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

rewrite149.0ms (2.8%)

Memory

18.9MiB live, 248.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	18
0	13	18
1	48	18
2	273	17
3	2850	17
0	9457	17

Stop Event

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

Counts

3 → 260

Calls

Call 1

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

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

eval72.0ms (1.4%)

Memory: -2.6MiB live, 103.5MiB allocated
Compiler: Compiled 6 622 to 614 computations (90.7% saved)

prune4.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	263	3	266

Accuracy

100.0%

Counts

266 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
▶	48.6%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
✓	52.9%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify361.0ms (6.8%)

Memory

-53.1MiB live, 344.0MiB 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	(.f64 (.f64 #s(literal 2 binary64) x) x)
cost-diff	0	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	11	23
1	24	23
2	46	23
3	108	23
4	182	23
5	243	23
6	338	23
7	697	23
8	1176	23
9	2252	23
10	4192	23
0	8134	22

Stop Event

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

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

-1.6MiB live, 43.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 #s(literal 2 binary64) x) x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	32.88454613998696	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

13.0ms

256×

valid

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

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

ival-mult: 6.0ms (79.9% of total)

ival-sub: 1.0ms (13.3% 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

7.4MiB live, 7.4MiB allocated

Counts

3 → 5

Calls

Call 1

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

Outputs
-1
(- (* 2 (pow x 2)) 1)
(* 2 (pow x 2))
(* 2 x)
(* (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) (* 2 x))
1.0ms	x	@	inf	((- (* (* x x) 2) 1) (* (* 2 x) x) (* 2 x))
1.0ms	x	@	0	((- (* (* x x) 2) 1) (* (* 2 x) x) (* 2 x))

simplify262.0ms (5%)

Memory

33.9MiB live, 324.4MiB 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 (pow x 2))
(* 2 x)
(* (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 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) 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)

rewrite67.0ms (1.3%)

Memory

1.3MiB live, 46.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	19
1	39	19
2	205	15
0	2704	14

Stop Event

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

Counts

3 → 635

Calls

Call 1

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

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

eval42.0ms (0.8%)

Memory: -30.1MiB live, 58.2MiB allocated
Compiler: Compiled 5 630 to 751 computations (86.7% saved)

prune6.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	322	1	323
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	322	4	326

Accuracy

100.0%

Counts

326 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
▶	4.5%	#s(approx (- (* (* x x) 2) 1) (+.f64 x x))
✓	48.6%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
✓	52.9%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify220.0ms (4.2%)

Memory

0.8MiB live, 154.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
0	9	15
1	20	15
2	45	15
3	105	15
4	179	15
5	240	15
6	338	15
7	697	15
8	1166	15
9	2242	15
10	4184	15
0	8126	14

Stop Event

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

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

-22.5MiB live, 23.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x x)
accuracy	61.15090340901134	#s(approx (- (* (* x x) 2) 1) (+.f64 x x))

Samples

11.0ms

256×

valid

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (51.3% of total)

ival-sub: 1.0ms (17.1% of total)

ival-add: 1.0ms (17.1% 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

4.3MiB live, 4.2MiB allocated

Counts

2 → 5

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) (+.f64 x x))
(+.f64 x 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) (+ x x))
1.0ms	x	@	inf	((- (* (* x x) 2) 1) (+ x x))
0.0ms	x	@	0	((- (* (* x x) 2) 1) (+ x x))

simplify267.0ms (5%)

Memory

3.7MiB live, 187.7MiB 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)

rewrite33.0ms (0.6%)

Memory

33.2MiB live, 33.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
0	9	14
1	42	14
0	292	14

Stop Event

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

Counts

2 → 9

Calls

Call 1

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

Outputs
#s(approx (- (* (* x x) 2) 1) (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 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 #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)))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 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 x x)

eval1.0ms (0%)

Memory: 2.4MiB live, 2.4MiB allocated
Compiler: Compiled 207 to 48 computations (76.8% saved)

prune2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	14	4	18

Accuracy

100.0%

Counts

18 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
✓	4.5%	#s(approx (- (* (* x x) 2) 1) (+.f64 x x))
✓	48.6%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
✓	52.9%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 85 to 50 computations (41.2% saved)

regimes103.0ms (1.9%)

Memory

-45.0MiB live, 56.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

76.0ms	x
24.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	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
99.8%	2	`(*.f64 x x)`
99.8%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
99.8%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
99.8%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

10.8MiB live, 10.8MiB 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 x x))

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

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
55.8%	2	`(*.f64 x x)`
55.8%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
55.8%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
55.8%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.1%)

Memory

9.7MiB live, 9.7MiB 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
52.9%	1	`x`
52.9%	1	`(*.f64 x x)`
52.9%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
52.9%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch48.0ms (0.9%)

Memory

-29.3MiB live, 17.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
47.0ms	0.001799076955506721	16724627.857767414

Samples

6.0ms

160×

valid

Compiler

Compiled 230 to 210 computations (8.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (65.7% of total)

ival-sub: 1.0ms (32.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9999935266442164	559426353961618.7

Compiler

Compiled 10 to 10 computations (0% saved)

simplify96.0ms (1.8%)

Memory

0.9MiB live, 46.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	71
1	35	71
2	63	71
3	130	71
4	204	71
5	269	71
6	379	71
7	756	71
8	1343	71
9	2492	71
10	3411	71
11	5252	71
12	6635	71
13	7842	71

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (- (* (* x x) 2) 1) (+.f64 x x)))
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Outputs
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x)))
(if (<=.f64 (-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (- (* (* x x) 2) 1) (+.f64 x x)))
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

soundness896.0ms (16.9%)

Memory

14.5MiB live, 337.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	19
1	39	19
2	205	15
0	2704	14
0	10	27
1	17	27
2	37	27
3	100	27
4	224	27
5	402	27
6	739	27
7	1227	27
8	2174	27
9	3769	27
0	8060	26
0	6	15
0	9	15
1	34	15
2	189	15
3	1925	15
0	9377	14
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×	done
1×	iter limit
1×	node limit
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 99 to 53 computations (46.5% saved)

preprocess51.0ms (1%)

Memory: 1.1MiB live, 46.3MiB allocated
Remove: (abs x)
Compiler: Compiled 168 to 72 computations (57.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample915.0ms (17.3%)

explain97.0ms (1.8%)

preprocess243.0ms (4.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify158.0ms (3%)

localize15.0ms (0.3%)

series2.0ms (0%)

simplify278.0ms (5.2%)

rewrite279.0ms (5.3%)

eval41.0ms (0.8%)

prune6.0ms (0.1%)

simplify181.0ms (3.4%)

localize18.0ms (0.3%)

series2.0ms (0%)

simplify309.0ms (5.8%)

rewrite149.0ms (2.8%)

eval72.0ms (1.4%)

prune4.0ms (0.1%)

simplify361.0ms (6.8%)

localize21.0ms (0.4%)

series2.0ms (0%)

simplify262.0ms (5%)

rewrite67.0ms (1.3%)

eval42.0ms (0.8%)

prune6.0ms (0.1%)

simplify220.0ms (4.2%)

localize27.0ms (0.5%)

series2.0ms (0%)

simplify267.0ms (5%)

rewrite33.0ms (0.6%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes103.0ms (1.9%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch48.0ms (0.9%)

bsearch0.0ms (0%)

simplify96.0ms (1.8%)

soundness896.0ms (16.9%)

preprocess51.0ms (1%)

end0.0ms (0%)

Profiling