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

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

sample795.0ms (16.1%)

Memory

19.7MiB live, 823.6MiB allocated; 149ms collecting garbage

Samples

444.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 224.0ms

ival-mult: 164.0ms (73.2% of total)

ival-sub: 42.0ms (18.7% of total)

exact: 8.0ms (3.6% of total)

ival-true: 5.0ms (2.2% of total)

ival-assert: 3.0ms (1.3% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain138.0ms (2.8%)

Memory

-38.1MiB live, 98.7MiB allocated; 15ms collecting garbage

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

87.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-mult: 40.0ms (52.3% of total)

ival-sub: 35.0ms (45.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess229.0ms (4.6%)

Memory

36.2MiB live, 236.9MiB allocated; 41ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

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)

simplify219.0ms (4.4%)

Memory

-7.6MiB live, 236.0MiB allocated; 40ms collecting garbage

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)

localize53.0ms (1.1%)

Memory

-12.0MiB live, 33.7MiB allocated; 3ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0078125	(.f64 (.f64 x x) #s(literal 2 binary64))

Samples

48.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 41.0ms (95.5% of total)

ival-sub: 1.0ms (2.3% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

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))

simplify380.0ms (7.7%)

Memory

-38.2MiB live, 401.5MiB allocated; 121ms collecting garbage

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)

rewrite155.0ms (3.1%)

Memory

53.2MiB live, 237.2MiB allocated; 40ms collecting garbage

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))))

eval47.0ms (1%)

Memory: -39.9MiB live, 108.1MiB allocated; 15ms collecting garbage
Compiler: Compiled 5 762 to 653 computations (88.7% saved)

prune4.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated; 0ms collecting garbage

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))
▶	54.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify185.0ms (3.7%)

Memory

-7.9MiB live, 218.0MiB allocated; 48ms collecting garbage

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 (0.4%)

Memory

35.3MiB live, 35.3MiB allocated; 0ms collecting garbage

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	29.35976980589893	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Samples

13.0ms

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 (46.8% of total)

ival-sub: 1.0ms (15.6% of total)

ival-add: 1.0ms (15.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

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
0.0ms	x	@	-inf	((- (* (* x x) 2) 1) (+ (* (* x x) 2) -1) (* x x))
0.0ms	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))

simplify306.0ms (6.2%)

Memory

-16.9MiB live, 330.8MiB allocated; 112ms collecting garbage

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)

rewrite129.0ms (2.6%)

Memory

-1.1MiB live, 230.7MiB allocated; 31ms collecting garbage

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))))

eval80.0ms (1.6%)

Memory: 2.5MiB live, 102.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 6 622 to 614 computations (90.7% saved)

prune7.0ms (0.1%)

Memory

-24.8MiB live, 20.3MiB allocated; 5ms collecting garbage

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))
▶	46.8%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
✓	54.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify195.0ms (3.9%)

Memory

30.0MiB live, 263.2MiB allocated; 61ms collecting garbage

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

localize30.0ms (0.6%)

Memory

-4.6MiB live, 41.7MiB allocated; 4ms collecting garbage

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	34.047697376024374	#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 (76.7% of total)

ival-sub: 1.0ms (12.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

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))

simplify225.0ms (4.5%)

Memory

21.3MiB live, 306.8MiB allocated; 43ms collecting garbage

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)

rewrite93.0ms (1.9%)

Memory

-6.7MiB live, 85.7MiB allocated; 7ms collecting garbage

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)))
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(fma.f64 (.f64 x x) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))
(fma.f64 (.f64 x x) (.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (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)

eval86.0ms (1.7%)

Memory: 4.0MiB live, 56.7MiB allocated; 10ms collecting garbage
Compiler: Compiled 5 630 to 751 computations (86.7% saved)

prune15.0ms (0.3%)

Memory

-25.3MiB live, 17.9MiB allocated; 7ms collecting garbage

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))
▶	4.2%	#s(approx (- (* (* x x) 2) 1) (+.f64 x x))
✓	46.8%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
✓	54.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify316.0ms (6.4%)

Memory

-1.1MiB live, 236.4MiB allocated; 40ms collecting garbage

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

localize16.0ms (0.3%)

Memory

23.3MiB live, 23.3MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x x)
accuracy	61.28080380485584	#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 (51.5% of total)

ival-sub: 1.0ms (17.2% of total)

ival-add: 1.0ms (17.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

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

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))

simplify237.0ms (4.8%)

Memory

-5.4MiB live, 325.2MiB allocated; 52ms collecting garbage

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)

rewrite43.0ms (0.9%)

Memory

-13.4MiB live, 33.5MiB allocated; 2ms collecting garbage

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: 2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 207 to 48 computations (76.8% saved)

prune3.0ms (0.1%)

Memory

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

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))
✓	4.2%	#s(approx (- (* (* x x) 2) 1) (+.f64 x x))
✓	46.8%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 #s(literal 2 binary64) x) x))
✓	54.1%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 85 to 50 computations (41.2% saved)

regimes8.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
100.0%	1	`(*.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

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

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:

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
99.1%	2	`(*.f64 x x)`
99.1%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
99.1%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
99.1%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes17.0ms (0.3%)

Memory

-33.3MiB live, 13.7MiB allocated; 3ms collecting garbage

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:

13.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
1.0ms	x
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
56.8%	2	`(*.f64 x x)`
56.8%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
56.8%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
56.8%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
54.1%	1	`x`
54.1%	1	`(*.f64 x x)`
54.1%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
54.1%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch10.0ms (0.2%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.09386186042235817	7.689468750445597

Samples

4.0ms

112×

valid

Compiler

Compiled 164 to 150 computations (8.5% saved)

Precisions

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

ival-sub: 1.0ms (47.7% of total)

ival-mult: 1.0ms (47.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9823799023161075	117.25585932815873

Compiler

Compiled 10 to 10 computations (0% saved)

simplify74.0ms (1.5%)

Memory

-24.1MiB live, 69.8MiB allocated; 13ms collecting garbage

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 3242591731706757/4503599627370496 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 3242591731706757/4503599627370496 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))

derivations780.0ms (15.8%)

Memory

18.9MiB live, 633.2MiB allocated; 208ms collecting garbage

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	403	27
6	740	27
7	1228	27
8	2174	27
9	3772	27
0	8327	26
0	6	15
0	9	15
1	34	15
2	189	15
3	1925	15
0	9377	14
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×	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 71 to 25 computations (64.8% saved)

preprocess31.0ms (0.6%)

Memory: 16.2MiB live, 60.7MiB allocated; 10ms collecting garbage
Remove: (abs x)
Compiler: Compiled 168 to 72 computations (57.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample795.0ms (16.1%)

explain138.0ms (2.8%)

preprocess229.0ms (4.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify219.0ms (4.4%)

localize53.0ms (1.1%)

series2.0ms (0%)

simplify380.0ms (7.7%)

rewrite155.0ms (3.1%)

eval47.0ms (1%)

prune4.0ms (0.1%)

simplify185.0ms (3.7%)

localize18.0ms (0.4%)

series1.0ms (0%)

simplify306.0ms (6.2%)

rewrite129.0ms (2.6%)

eval80.0ms (1.6%)

prune7.0ms (0.1%)

simplify195.0ms (3.9%)

localize30.0ms (0.6%)

series3.0ms (0.1%)

simplify225.0ms (4.5%)

rewrite93.0ms (1.9%)

eval86.0ms (1.7%)

prune15.0ms (0.3%)

simplify316.0ms (6.4%)

localize16.0ms (0.3%)

series1.0ms (0%)

simplify237.0ms (4.8%)

rewrite43.0ms (0.9%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes8.0ms (0.2%)

regimes6.0ms (0.1%)

regimes17.0ms (0.3%)

regimes4.0ms (0.1%)

bsearch10.0ms (0.2%)

bsearch0.0ms (0%)

simplify74.0ms (1.5%)

derivations780.0ms (15.8%)

preprocess31.0ms (0.6%)

end0.0ms (0%)

Profiling