Metrics for bug329 (missed optimization)

analyze7.0ms (0.3%)

Memory

7.9MiB live, 7.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
75%	37.5%	12.5%	50%	0%	0%	0%	4
75%	37.5%	12.5%	50%	0%	0%	0%	5
87.5%	43.7%	6.2%	50%	0%	0%	0%	6
87.5%	43.7%	6.2%	50%	0%	0%	0%	7
93.8%	46.8%	3.1%	50%	0%	0%	0%	8
93.8%	46.8%	3.1%	50%	0%	0%	0%	9
96.9%	48.4%	1.6%	50%	0%	0%	0%	10
96.9%	48.4%	1.6%	50%	0%	0%	0%	11
98.4%	49.2%	0.8%	50%	0%	0%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample663.0ms (30.2%)

Memory

-21.4MiB live, 607.8MiB allocated

Samples

430.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-atan: 72.0ms (38.4% of total)

ival-div: 63.0ms (33.6% of total)

ival->=: 42.0ms (22.4% of total)

exact: 7.0ms (3.7% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

preprocess14.0ms (0.6%)

Memory

24.6MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Rules

30×	`sub-neg`
20×	`+-commutative`
14×	`div-sub`
10×	`*-commutative`
10×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	24	26
2	36	26
3	46	26
4	54	26
5	68	26
6	88	26
7	98	26
8	100	26
0	4	4
0	6	4
0	6	4

Stop Event

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

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))

Outputs
(atan.f64 (/.f64 y x))

explain43.0ms (1.9%)

Memory

14.1MiB live, 91.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(/.f64 y x)`
-	-	`y`
-	-	`(atan.f64 (/.f64 y 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

23.0ms

512×

valid

Compiler

Compiled 34 to 20 computations (41.2% saved)

Precisions

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

ival-div: 6.0ms (55% of total)

ival-atan: 5.0ms (45.8% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0.1%)

Memory

-37.8MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(atan.f64 (/.f64 y x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0.2%)

Memory

6.7MiB live, 6.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(atan.f64 (/.f64 y x))

Rules

2×	`lift-/.f64`
2×	`lower-atan.f32`
2×	`lift-atan.f64`
2×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
0	6	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x

Outputs
(atan.f64 (/.f64 y x))
(/.f64 y x)
y
x

localize14.0ms (0.6%)

Memory

27.9MiB live, 27.9MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(atan.f64 (/.f64 y x))

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-div: 2.0ms (54.8% of total)

ival-atan: 1.0ms (27.4% of total)

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

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

series29.0ms (1.3%)

Memory

-48.6MiB live, 5.5MiB allocated

Counts

2 → 48

Calls

Call 1

Inputs
#<alt (atan.f64 (/.f64 y x))>
#<alt (/.f64 y x)>

Outputs
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>

Calls

12 calls:

Time	Variable		Point	Expression
26.0ms	x	@	-inf	(/ y x)
1.0ms	y	@	inf	(/ y x)
1.0ms	x	@	inf	(/ y x)
0.0ms	y	@	-inf	(/ y x)
0.0ms	y	@	0	(/ y x)

simplify4.0ms (0.2%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`lower-atan.f32`
2×	`lower-/.f32`
2×	`lower-/.f64`
2×	`lower-atan.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	168
0	4	168

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

Inputs
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ 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 x)

Outputs
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)

rewrite99.0ms (4.5%)

Memory

21.0MiB live, 98.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

522×	`lower-*.f64`
522×	`lower-*.f32`
470×	`lower-/.f32`
468×	`lower-/.f64`
136×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	14	7
2	49	7
3	224	7
0	1218	7

Stop Event

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

Counts

2 → 62

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))
(/.f64 y x)

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

eval12.0ms (0.5%)

Memory: -6.5MiB live, 32.3MiB allocated
Compiler: Compiled 868 to 197 computations (77.3% saved)

prune8.0ms (0.4%)

Memory

24.4MiB live, 24.4MiB allocated

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	4	111

Accuracy

100.0%

Counts

111 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.1%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))
✓	100.0%	(atan.f64 (/.f64 y x))
▶	43.1%	(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x)))
▶	99.8%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))

Compiler

Compiled 50 to 30 computations (40% saved)

simplify170.0ms (7.7%)

Memory

-28.4MiB live, 245.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	256	(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
✓	cost-diff	320	(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))
✓	cost-diff	1024	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
✓	cost-diff	1152	(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x)))
✓	cost-diff	256	(/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x))))
✓	cost-diff	1280	(.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) x) y)

Rules

2 586×	`lower-*.f32`
2 576×	`lower-*.f64`
2 008×	`lower-fma.f64`
2 008×	`lower-fma.f32`
1 796×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	139
0	38	80
1	85	68
2	267	64
3	1352	64
4	2561	64
5	3391	64
6	4509	64
7	4887	64
8	5045	64
9	5261	64
10	6214	64
11	7252	64
0	8012	64

Stop Event

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

Calls

Call 1

Inputs
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x)))
(.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x))))
(neg.f64 y)
y
(neg.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))
(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
#s(literal 0 binary64)
(/.f64 x (neg.f64 y))
x
(neg.f64 y)
y
(neg.f64 x)
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))

Outputs
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(atan.f64 (/.f64 y x))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(/.f64 y x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x)))
(atan.f64 (/.f64 y x))
(.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 y x)
(/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x))))
(/.f64 y (.f64 x (.f64 x x)))
(neg.f64 y)
y
(neg.f64 (.f64 x (.f64 x x)))
(.f64 x (.f64 x x))
x
(*.f64 x x)
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))
(atan.f64 (/.f64 y x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(/.f64 y x)
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))
x
(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 x (neg.f64 y))
(neg.f64 (/.f64 x y))
x
(neg.f64 y)
y
(neg.f64 x)
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
(/.f64 (*.f64 x x) y)

localize63.0ms (2.9%)

Memory

25.5MiB live, 144.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))
✓	accuracy	99.8%	(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
✓	accuracy	90.0%	(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
✓	accuracy	79.2%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
✓	accuracy	100.0%	(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x)))
✓	accuracy	99.8%	(.f64 x (.f64 x x))
✓	accuracy	91.5%	(/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x))))
✓	accuracy	45.6%	(.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	100.0%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) x) y)

Samples

37.0ms

256×

valid

Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (32.7% of total)

ival-div: 7.0ms (28.6% of total)

ival-neg: 5.0ms (20.5% of total)

ival-atan: 4.0ms (16.4% of total)

ival-sub: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.5%)

Memory

-16.1MiB live, 22.4MiB allocated

Counts

13 → 276

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) y)>
#<alt (atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))>
#<alt (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x))))>
#<alt (atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x)))>
#<alt (neg.f64 y)>
#<alt (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))>
#<alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))>
#<alt (*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))>
#<alt (.f64 x (.f64 x x))>
#<alt (atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))>

Outputs
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (/ y (pow x 3))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>

Calls

69 calls:

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

simplify11.0ms (0.5%)

Memory

23.5MiB live, 23.5MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`lower-+.f64`
20×	`lower-+.f32`
18×	`lower-/.f32`
18×	`lower-/.f64`
14×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	888
1	21	888
2	28	888
3	31	888
4	33	888
5	35	888
6	39	888
7	50	888
8	71	888
9	74	888
0	74	888

Stop Event

1×	iter limit
1×	saturated

Counts

276 → 252

Calls

Call 1

Inputs
(/ 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)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 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 (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(/ y (pow x 3))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(/ 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)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))

Outputs
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(/ y (pow x 3))
(/.f64 y (.f64 x (.f64 x x)))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))

rewrite67.0ms (3%)

Memory

-8.6MiB live, 77.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

390×	`lower-/.f32`
382×	`lower-/.f64`
332×	`lower-*.f32`
322×	`lower-*.f64`
76×	`lower-neg.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	114
0	38	86
1	129	61
0	787	61

Stop Event

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

Counts

13 → 161

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(/.f64 #s(literal 1 binary64) x)
(.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x))
(/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x))))
(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x)))
(neg.f64 y)
(*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))
(.f64 x (.f64 x x))
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))

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

eval49.0ms (2.2%)

Memory: -12.3MiB live, 94.7MiB allocated
Compiler: Compiled 5 345 to 605 computations (88.7% saved)

prune27.0ms (1.2%)

Memory

10.9MiB live, 59.1MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	450	1	451
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	452	3	455

Accuracy

100.0%

Counts

455 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(atan.f64 (/.f64 y x))
▶	89.4%	(atan.f64 (/.f64 x (*.f64 x (/.f64 x y))))
✓	99.8%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify361.0ms (16.4%)

Memory

6.6MiB live, 237.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 x (/.f64 x y))
✓	cost-diff	0	(atan.f64 (/.f64 x (*.f64 x (/.f64 x y))))
✓	cost-diff	1024	(/.f64 x (*.f64 x (/.f64 x y)))

Rules

7 076×	`lower-*.f32`
7 074×	`lower-*.f64`
3 894×	`cube-prod`
3 296×	`lower-pow.f64`
3 296×	`lower-pow.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	6	25
0	10	25
1	15	21
2	22	21
3	29	17
4	40	17
5	85	17
6	172	17
7	561	17
8	1568	17
9	1726	17
10	1831	17
11	2042	17
12	2347	17
13	2730	17
14	3228	17
15	3830	17
16	4081	17
17	4228	17
18	4308	17
19	4390	17
20	4473	17
21	5094	17
22	6069	17
23	6503	17
24	6686	17
25	6774	17
26	6845	17
27	6942	17
28	7013	17
29	7084	17
30	7155	17
31	7283	17
32	7373	17
0	8438	17

Stop Event

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

Calls

Call 1

Inputs
(atan.f64 (/.f64 x (*.f64 x (/.f64 x y))))
(/.f64 x (*.f64 x (/.f64 x y)))
x
(*.f64 x (/.f64 x y))
(/.f64 x y)
y

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

localize25.0ms (1.1%)

Memory

-10.8MiB live, 25.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x y)
✓	accuracy	100.0%	(atan.f64 (/.f64 x (*.f64 x (/.f64 x y))))
✓	accuracy	99.8%	(*.f64 x (/.f64 x y))
✓	accuracy	79.2%	(/.f64 x (*.f64 x (/.f64 x y)))

Samples

13.0ms

256×

valid

Compiler

Compiled 27 to 8 computations (70.4% saved)

Precisions

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

ival-div: 4.0ms (58.3% of total)

ival-mult: 2.0ms (29.2% of total)

ival-atan: 1.0ms (14.6% of total)

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

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

series4.0ms (0.2%)

Memory

4.4MiB live, 4.4MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 x (*.f64 x (/.f64 x y)))>
#<alt (atan.f64 (/.f64 x (*.f64 x (/.f64 x y))))>
#<alt (*.f64 x (/.f64 x y))>
#<alt (/.f64 x y)>

Outputs
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (/ y x)>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (atan (/ y x))>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) y)>
#<alt (/ (pow x 2) 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

24 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/ x y)
0.0ms	x	@	-inf	(/ x y)
0.0ms	y	@	0	(/ x y)
0.0ms	x	@	0	(/ x y)
0.0ms	x	@	inf	(/ x y)

simplify5.0ms (0.2%)

Memory

7.3MiB live, 7.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`lower-*.f64`
6×	`lower-/.f32`
6×	`lower-/.f64`
6×	`lower-*.f32`
2×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	360
1	9	360
2	10	360
3	11	360
0	11	360

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(/ 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)
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(atan (/ y x))
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) y)
(/ (pow x 2) 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
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(/ y x)
(/.f64 y x)
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(atan (/ y x))
(atan.f64 (/.f64 y x))
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x x) y)
(/ (pow x 2) y)
(/.f64 (*.f64 x 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 y)
(/.f64 x y)

rewrite382.0ms (17.4%)

Memory

-188.1MiB live, 199.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 486×	`lower-*.f32`
1 484×	`lower-*.f64`
1 212×	`lower-/.f32`
1 208×	`lower-/.f64`
638×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	23
0	10	23
1	29	15
2	145	15
3	847	15
0	4054	15

Stop Event

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

Counts

4 → 306

Calls

Call 1

Inputs
(/.f64 x (*.f64 x (/.f64 x y)))
(atan.f64 (/.f64 x (*.f64 x (/.f64 x y))))
(*.f64 x (/.f64 x y))
(/.f64 x y)

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

eval46.0ms (2.1%)

Memory: 3.2MiB live, 76.4MiB allocated
Compiler: Compiled 4 977 to 1 118 computations (77.5% saved)

prune39.0ms (1.8%)

Memory

-7.5MiB live, 77.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	402	0	402
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	402	3	405

Accuracy

100.0%

Counts

405 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(atan.f64 (/.f64 y x))
✓	89.4%	(atan.f64 (/.f64 x (*.f64 x (/.f64 x y))))
✓	99.8%	(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))

Compiler

Compiled 76 to 43 computations (43.4% saved)

regimes9.0ms (0.4%)

Memory

17.4MiB live, 17.4MiB allocated

Accuracy

Total -38.8b remaining (-331015.6%)

Threshold costs -38.8b (-331015.6%)

Counts

5 → 1

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))
(atan.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y))
(atan.f64 (/.f64 x (*.f64 x (/.f64 x y))))
(atan.f64 (.f64 (/.f64 (neg.f64 y) (neg.f64 (.f64 x (.f64 x x)))) (.f64 x x)))
(atan.f64 (/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) (neg.f64 x)) (.f64 (neg.f64 x) (/.f64 x (neg.f64 y)))))

Outputs
(atan.f64 (/.f64 y x))

Calls

4 calls:

2.0ms	x
2.0ms	y
2.0ms	(/.f64 y x)
2.0ms	(atan.f64 (/.f64 y x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(atan.f64 (/.f64 y x))`
100.0%	1	`(/.f64 y x)`

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify5.0ms (0.2%)

Memory

10.2MiB live, 10.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4

Stop Event

1×

saturated

Calls

Call 1

Inputs
(atan.f64 (/.f64 y x))

Outputs
(atan.f64 (/.f64 y x))

soundness0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Stop Event

1×

done

Compiler

Compiled 6 to 4 computations (33.3% saved)

preprocess24.0ms (1.1%)

Memory: -17.5MiB live, 60.9MiB allocated
Compiler: Compiled 34 to 22 computations (35.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	888
1	21	888
2	28	888
3	31	888
4	33	888
5	35	888
6	39	888
7	50	888
8	71	888
9	74	888
0	74	888

Iter	Nodes	Cost
0	15	888
1	21	888
2	28	888
3	31	888
4	33	888
5	35	888
6	39	888
7	50	888
8	71	888
9	74	888
0	74	888

analyze7.0ms (0.3%)

sample663.0ms (30.2%)

preprocess14.0ms (0.6%)

explain43.0ms (1.9%)

eval0.0ms (0%)

prune2.0ms (0.1%)

simplify4.0ms (0.2%)

localize14.0ms (0.6%)

series29.0ms (1.3%)

simplify4.0ms (0.2%)

rewrite99.0ms (4.5%)

eval12.0ms (0.5%)

prune8.0ms (0.4%)

simplify170.0ms (7.7%)

localize63.0ms (2.9%)

series11.0ms (0.5%)

simplify11.0ms (0.5%)

rewrite67.0ms (3%)

eval49.0ms (2.2%)

prune27.0ms (1.2%)

simplify361.0ms (16.4%)

localize25.0ms (1.1%)

series4.0ms (0.2%)

simplify5.0ms (0.2%)

rewrite382.0ms (17.4%)

eval46.0ms (2.1%)

prune39.0ms (1.8%)

regimes9.0ms (0.4%)

simplify5.0ms (0.2%)

soundness0.0ms (0%)

preprocess24.0ms (1.1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	888
1	21	888
2	28	888
3	31	888
4	33	888
5	35	888
6	39	888
7	50	888
8	71	888
9	74	888
0	74	888