Metrics for Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 10 to 6 computations (40% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample1.0s (28.4%)

Results

848.0ms	8254×	0	valid
0.0ms	2×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 346.0ms

ival-mult: 250.0ms (72.2% of total)

ival-add: 86.0ms (24.8% of total)

const: 7.0ms (2% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess119.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

1960×	`sum5-define`
1780×	`fnmadd-define`
1536×	`sum4-define`
1368×	`fmsub-define`
1344×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	69	37
2	218	36
3	841	36
4	3279	36
5	6343	36
6	6948	36
7	6964	36
0	5	6
1	12	6
2	26	6
3	39	6
4	50	6
5	67	6
6	93	6
7	115	6
8	122	6
9	123	6
0	123	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (* x y) x) y)

Outputs
(+ (+ (* x y) x) y)
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))

Call 2

Inputs
(+ (+ (* x y) x) y)
(+ (+ (* (neg x) y) (neg x)) y)
(+ (+ (* x (neg y)) x) (neg y))
(neg (+ (+ (* (neg x) y) (neg x)) y))
(neg (+ (+ (* x (neg y)) x) (neg y)))
(+ (+ (* y x) y) x)

Outputs
(+ (+ (* x y) x) y)
(+ x (fma x y y))
(+ (+ (* (neg x) y) (neg x)) y)
(+ y (fnmsub x y x))
(+ (+ (* x (neg y)) x) (neg y))
(+ x (fnmsub x y y))
(neg (+ (+ (* (neg x) y) (neg x)) y))
(+ x (fmsub x y y))
(neg (+ (+ (* x (neg y)) x) (neg y)))
(+ y (fmsub x y x))
(+ (+ (* y x) y) x)
(+ x (fma x y y))

Symmetry

(sort x y)

explain165.0ms (4.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(*.f64 x y)`
-	-	`x`
-	-	`(+.f64 (+.f64 (*.f64 x y) x) y)`
-	-	`(+.f64 (*.f64 x y) x)`
-	-	`y`

Results

140.0ms

512×

valid

Compiler

Compiled 49 to 17 computations (65.3% saved)

Precisions

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

ival-add: 5.0ms (47.4% of total)

ival-mult: 5.0ms (47.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify22.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))

Rules

92×	`fma-define`
76×	`fma-lowering-fma.f32`
76×	`fma-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	18
1	17	16
2	37	16
3	66	16
4	95	16
5	110	16
6	117	16
7	118	16
0	118	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x (* y (+ x 1)))
x
(* y (+ x 1))
y
(+ x 1)
1

Outputs
(+ x (* y (+ x 1)))
(+.f64 y (*.f64 x (+.f64 y #s(literal 1 binary64))))
x
(* y (+ x 1))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
y
(+ x 1)
(+.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)

localize41.0ms (1.1%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))

Results

33.0ms

256×

valid

Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions

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

ival-add: 3.0ms (55.8% of total)

ival-mult: 2.0ms (37.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (+ x (* y (+ x 1)))>
#<alt (* y (+ x 1))>
#<alt (+ x 1)>

Outputs
#<alt y>
#<alt (+ y (* x (+ 1 y)))>
#<alt (+ y (* x (+ 1 y)))>
#<alt (+ y (* x (+ 1 y)))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 (+ y (/ y x))))>
#<alt (* x (+ 1 (+ y (/ y x))))>
#<alt (* x (+ 1 (+ y (/ y x))))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))>
#<alt x>
#<alt (+ x (* y (+ 1 x)))>
#<alt (+ x (* y (+ 1 x)))>
#<alt (+ x (* y (+ 1 x)))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 (+ x (/ x y))))>
#<alt (* y (+ 1 (+ x (/ x y))))>
#<alt (* y (+ 1 (+ x (/ x y))))>
#<alt (* y (+ 1 x))>
#<alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt y>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

15 calls:

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

rewrite36.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

92×	`fma-define`
76×	`fma-lowering-fma.f32`
76×	`fma-lowering-fma.f64`
48×	`-lowering-.f32`
48×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	17	13
2	37	13
3	66	13
4	95	13
5	110	13
6	117	13
7	118	13
0	118	13

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 44

Calls

Call 1

Inputs
(+ x (* y (+ x 1)))
(* y (+ x 1))
(+ x 1)

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

simplify280.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

2004×	`fmsub-define`
1956×	`fnmsub-define`
1788×	`fmm-def`
1602×	`sum4-define`
1562×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	290
1	147	249
2	447	247
3	1430	247
4	4275	247
0	8035	247

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval10.0ms (0.3%)

Compiler: Compiled 718 to 76 computations (89.4% saved)

prune73.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	98	6	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Accuracy

100.0%

Counts

105 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	65.6%	(+.f64 x (*.f64 y x))
▶	72.5%	(+.f64 x y)
▶	61.9%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	65.6%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
▶	35.5%	y
▶	38.9%	x

Compiler

Compiled 64 to 42 computations (34.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 x #s(literal 1 binary64))
✓	cost-diff	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	cost-diff	(+.f64 y #s(literal 1 binary64))
✓	cost-diff	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	cost-diff	(+.f64 x y)

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
40×	`fma-lowering-fma.f32`
40×	`fma-define`
40×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	25	27
2	41	27
3	67	27
4	72	27
0	72	27

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ x y)
x
y
x
y
(* x (+ y 1))
x
(+ y 1)
y
1
(* y (+ x 1))
y
(+ x 1)
x
1

Outputs
(+ x y)
(+.f64 x y)
x
y
x
y
(* x (+ y 1))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+ y 1)
(+.f64 y #s(literal 1 binary64))
y
1
#s(literal 1 binary64)
(* y (+ x 1))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
y
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)

localize222.0ms (6%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 x #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 y #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	accuracy	100.0%	(+.f64 x y)

Results

211.0ms

256×

valid

Compiler

Compiled 32 to 9 computations (71.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

ival-mult: 64.0ms (92.4% of total)

ival-add: 4.0ms (5.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (+ x y)>
#<alt (* x (+ y 1))>
#<alt (+ y 1)>
#<alt (* y (+ x 1))>
#<alt (+ x 1)>

Outputs
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt (* y (+ 1 x))>
#<alt y>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (+ y (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x (+ y (/ y x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>

Calls

24 calls:

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

rewrite32.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

44×	`-lowering-.f32`
44×	`-lowering-.f64`
40×	`fma-lowering-fma.f32`
40×	`fma-define`
40×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	25	17
2	41	17
3	67	17
4	72	17
0	72	17

Stop Event

1×	iter limit
1×	saturated

Counts

5 → 44

Calls

Call 1

Inputs
(+ x y)
(* x (+ y 1))
(+ y 1)
(* y (+ x 1))
(+ x 1)

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

simplify144.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

2422×	`fnmadd-define`
2028×	`fnmsub-define`
1776×	`fma-lowering-fma.f32`
1776×	`fma-lowering-fma.f64`
1654×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	344
1	152	302
2	367	302
3	971	302
4	3609	302
5	6907	302
0	8307	302

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval14.0ms (0.4%)

Compiler: Compiled 630 to 61 computations (90.3% saved)

prune7.0ms (0.2%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	1	0	1
Picked	0	5	5
Done	0	0	0
Total	139	7	146

Accuracy

100.0%

Counts

146 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.6%	(+.f64 (*.f64 x y) x)
✓	72.5%	(+.f64 x y)
✓	61.9%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
▶	28.6%	(*.f64 y x)
✓	65.6%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	35.5%	y
✓	38.9%	x

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x y)
✓	cost-diff	(+.f64 (*.f64 x y) x)
✓	cost-diff	(*.f64 y x)

Rules

28×	`fma-define`
28×	`-lowering-.f32`
28×	`-lowering-.f64`
16×	`fma-lowering-fma.f32`
16×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	14
1	7	14
2	11	14
3	15	14
4	21	14
5	27	14
6	40	14
7	44	14
8	46	14
0	46	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* y x)
y
x
(+ (* x y) x)
(* x y)
x
y

Outputs
(* y x)
(*.f64 y x)
y
x
(+ (* x y) x)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(* x y)
(*.f64 y x)
x
y

localize229.0ms (6.2%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 (*.f64 x y) x)
✓	accuracy	100.0%	(*.f64 y x)

Results

222.0ms

256×

valid

Compiler

Compiled 18 to 6 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 206.0ms

ival-mult: 204.0ms (99% of total)

ival-add: 2.0ms (1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series3.0ms (0.1%)

Counts

3 → 72

Calls

Call 1

Inputs
#<alt (* y x)>
#<alt (+ (* x y) x)>
#<alt (* x y)>

Outputs
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt (* -1 (* x (- (* -1 y) 1)))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(* y x)
0.0ms	x	@	inf	(* y x)
0.0ms	x	@	0	(* y x)
0.0ms	y	@	-inf	(* y x)
0.0ms	x	@	-inf	(* y x)

rewrite15.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

28×	`fma-define`
28×	`-lowering-.f32`
28×	`-lowering-.f64`
16×	`fma-lowering-fma.f32`
16×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	7	10
2	11	10
3	15	10
4	21	10
5	27	10
6	40	10
7	44	10
8	46	10
0	46	10

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 20

Calls

Call 1

Inputs
(* y x)
(+ (* x y) x)
(* x y)

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

simplify130.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1788×	`fmsub-define`
1778×	`fnmsub-define`
1594×	`fmm-def`
1442×	`fnmadd-define`
1334×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	256
1	66	235
2	169	235
3	410	235
4	1278	235
5	3400	235
6	5862	235
0	8106	235

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval9.0ms (0.2%)

Compiler: Compiled 412 to 23 computations (94.4% saved)

prune5.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	92	7	99

Accuracy

100.0%

Counts

99 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.6%	(+.f64 (*.f64 x y) x)
✓	72.5%	(+.f64 x y)
✓	61.9%	(*.f64 y (+.f64 x #s(literal 1 binary64)))
✓	28.6%	(*.f64 y x)
✓	65.6%	(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓	35.5%	y
✓	38.9%	x

Compiler

Compiled 81 to 38 computations (53.1% saved)

regimes12.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
x
y
(*.f64 y x)
(+.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 x y) x)
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(+.f64 (+.f64 (*.f64 x y) x) y)

Outputs
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))

Calls

3 calls:

4.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x y) x) y)`

Compiler

Compiled 15 to 9 computations (40% saved)

regimes8.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
x
y
(*.f64 y x)
(+.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(*.f64 y (+.f64 x #s(literal 1 binary64)))
(+.f64 x (*.f64 y x))
(+.f64 (*.f64 x y) x)

Outputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 x y)
(*.f64 y (+.f64 x #s(literal 1 binary64)))

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
99.6%	3	`x`
99.0%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

Inputs
x
y
(*.f64 y x)
(+.f64 x y)
(*.f64 x (+.f64 y #s(literal 1 binary64)))

Outputs
(*.f64 x (+.f64 y #s(literal 1 binary64)))
(+.f64 x y)
(*.f64 y x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
(*.f64 y x)
(+.f64 x y)

Outputs
(*.f64 y x)
(+.f64 x y)
(*.f64 y x)

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
82.3%	4	`y`
81.3%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

3 → 5

Calls

Call 1

Inputs
x
y
(*.f64 y x)

Outputs
(*.f64 y x)
x
y
(*.f64 y x)
y

Calls

2 calls:

3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
75.0%	5	`y`
72.7%	4	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
64.0%	2	`x`
64.8%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
38.9%	1	`x`
38.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch25.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.4976860732623858e-74	3.303271745319572e-67
11.0ms	-136674013.16548237	-260177.3312863542

Results

15.0ms

272×

valid

Compiler

Compiled 252 to 179 computations (29% saved)

Precisions

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

ival-add: 3.0ms (56.2% of total)

ival-mult: 2.0ms (37.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch39.0ms (1%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	2.655207242750937e-16	3977.4113980081424
11.0ms	-136674013.16548237	-260177.3312863542

Results

28.0ms

288×

valid

Compiler

Compiled 246 to 169 computations (31.3% saved)

Precisions

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

ival-add: 3.0ms (45.8% of total)

ival-mult: 3.0ms (45.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	2.655207242750937e-16	3977.4113980081424
12.0ms	-1.3557099223303704e+206	-9.028702133206576e+200

Results

15.0ms

304×

valid

Compiler

Compiled 242 to 161 computations (33.5% saved)

Precisions

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

ival-add: 3.0ms (50.2% of total)

ival-mult: 3.0ms (50.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch67.0ms (1.8%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	5.625327507826649e+227	9.274559443366086e+232
10.0ms	3.643181032116375e+32	4.4646628529833375e+35
29.0ms	1.3365605469362515e-99	7.190370406161616e-93
10.0ms	-570.8132688321399	-0.011953375990276507

Results

47.0ms

544×

valid

Compiler

Compiled 336 to 238 computations (29.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-add: 22.0ms (79.8% of total)

ival-mult: 5.0ms (18.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.3365605469362515e-99	7.190370406161616e-93

Results

7.0ms

144×

valid

Compiler

Compiled 86 to 63 computations (26.7% saved)

Precisions

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

ival-add: 1.0ms (35% of total)

ival-mult: 1.0ms (35% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`*-commutative_binary64`
4×	`if-if-or-not_binary32`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	94
1	54	94

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -265000 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4856672230564323/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -265000 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 3900 binary64)) (+.f64 x y) (.f64 y x)))
(if (<=.f64 x #s(literal -1999999999999999977538215750126588953018689196590998459950069697680585223647237336888853938920013796903718410691112844909629852261514762472830507743890852478294863899324781023557461759604328517292041175040 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 3900 binary64)) (+.f64 x y) (.f64 y x)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 32108980623861/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) x (if (<=.f64 y #s(literal 370000000000000000038961795825664 binary64)) y (if (<=.f64 y #s(literal 11400000000000000230145765901288544724528525197288330800977959689988778361935186731742188725303657296319856984776270440366985162998324120952749011322222465516652174348136314386732986100853046332376784062632071668395611620230362562560 binary64)) (.f64 y x) y))))
(if (<=.f64 y #s(literal 2084331542211777/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) x y)
x

Outputs
(+.f64 x (*.f64 y (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 x #s(literal -265000 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 4856672230564323/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 binary64)) (+.f64 x y) (.f64 y (+.f64 x #s(literal 1 binary64)))))
(if (<=.f64 x #s(literal -265000 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 3900 binary64)) (+.f64 x y) (.f64 y x)))
(if (<=.f64 x #s(literal -265000 binary64)) (.f64 x (+.f64 y #s(literal 1 binary64))) (if (<=.f64 x #s(literal 3900 binary64)) (+.f64 x y) (.f64 x y)))
(if (<=.f64 x #s(literal -1999999999999999977538215750126588953018689196590998459950069697680585223647237336888853938920013796903718410691112844909629852261514762472830507743890852478294863899324781023557461759604328517292041175040 binary64)) (.f64 y x) (if (<=.f64 x #s(literal 3900 binary64)) (+.f64 x y) (.f64 y x)))
(if (<=.f64 x #s(literal -1999999999999999977538215750126588953018689196590998459950069697680585223647237336888853938920013796903718410691112844909629852261514762472830507743890852478294863899324781023557461759604328517292041175040 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 3900 binary64)) (+.f64 x y) (.f64 x y)))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 y x) (if (<=.f64 y #s(literal 32108980623861/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) x (if (<=.f64 y #s(literal 370000000000000000038961795825664 binary64)) y (if (<=.f64 y #s(literal 11400000000000000230145765901288544724528525197288330800977959689988778361935186731742188725303657296319856984776270440366985162998324120952749011322222465516652174348136314386732986100853046332376784062632071668395611620230362562560 binary64)) (.f64 y x) y))))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 x y) (if (<=.f64 y #s(literal 32108980623861/4586997231980143023221641790604173881593129978336562247475177678773845752176969616140037106220251373109248 binary64)) x (if (<=.f64 y #s(literal 370000000000000000038961795825664 binary64)) y (if (<=.f64 y #s(literal 11400000000000000230145765901288544724528525197288330800977959689988778361935186731742188725303657296319856984776270440366985162998324120952749011322222465516652174348136314386732986100853046332376784062632071668395611620230362562560 binary64)) (.f64 x y) y))))
(if (<=.f64 y #s(literal 2084331542211777/293567822846729153486185074598667128421960318613539983838411371441526128139326055432962374798096087878991872 binary64)) x y)
x

soundness768.0ms (20.8%)

Rules

2422×	`fnmadd-define`
2028×	`fnmsub-define`
2004×	`fmsub-define`
1956×	`fnmsub-define`
1788×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	290
1	147	249
2	447	247
3	1430	247
4	4275	247
0	8035	247
0	5	6
1	12	6
2	26	6
3	39	6
4	50	6
5	67	6
6	93	6
7	115	6
8	122	6
9	123	6
0	123	6
0	44	344
1	152	302
2	367	302
3	971	302
4	3609	302
5	6907	302
0	8307	302

Stop Event

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

Compiler

Compiled 320 to 186 computations (41.9% saved)

preprocess73.0ms (2%)

Remove: (sort x y)
Compiler: Compiled 250 to 110 computations (56% saved)

analyze0.0ms (0%)

sample1.0s (28.4%)

preprocess119.0ms (3.2%)

explain165.0ms (4.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.6%)

localize41.0ms (1.1%)

series3.0ms (0.1%)

rewrite36.0ms (1%)

simplify280.0ms (7.6%)

eval10.0ms (0.3%)

prune73.0ms (2%)

simplify7.0ms (0.2%)

localize222.0ms (6%)

series3.0ms (0.1%)

rewrite32.0ms (0.9%)

simplify144.0ms (3.9%)

eval14.0ms (0.4%)

prune7.0ms (0.2%)

simplify6.0ms (0.2%)

localize229.0ms (6.2%)

series3.0ms (0.1%)

rewrite15.0ms (0.4%)

simplify130.0ms (3.5%)

eval9.0ms (0.2%)

prune5.0ms (0.1%)

regimes12.0ms (0.3%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch25.0ms (0.7%)

bsearch39.0ms (1%)

bsearch34.0ms (0.9%)

bsearch67.0ms (1.8%)

bsearch14.0ms (0.4%)

simplify8.0ms (0.2%)

soundness768.0ms (20.8%)

preprocess73.0ms (2%)

end0.0ms (0%)

Profiling