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

analyze42.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

ival-div: 5.0ms (37.4% of total)

ival-add: 4.0ms (29.9% of total)

ival-mult: 4.0ms (29.9% of total)

const: 0.0ms (0% of total)

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

sample647.0ms (10.5%)

Results

450.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 225.0ms

ival-mult: 77.0ms (34.3% of total)

ival-div: 70.0ms (31.2% of total)

ival-add: 67.0ms (29.8% of total)

const: 7.0ms (3.1% of total)

backward-pass: 3.0ms (1.3% of total)

Bogosity

preprocess387.0ms (6.3%)

Algorithm

2×	egg-herbie

Rules

3748×	`-lowering-.f32`
3748×	`-lowering-.f64`
1582×	`fnmadd-define`
1560×	`associate-/r/`
1524×	`fma-define`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	29	77
1	110	73
2	310	71
3	1046	71
4	3407	70
0	6	7
1	16	7
2	24	7
3	27	7
4	35	7
5	43	7
6	47	7
7	56	6
8	67	6
9	176	6
10	598	6
11	2548	6
12	4101	6
13	4426	6
14	4567	6
15	4678	6
16	4825	6
17	5001	6
18	6578	6
19	7853	6
0	8044	6

Stop Event

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

Calls

Call 1

Inputs
(/ (* x (+ y z)) z)

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

Call 2

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

Outputs
(/ (* x (+ y z)) z)
(* x (+ (/ y z) 1))
(/ (* (neg x) (+ y z)) z)
(* x (- -1 (/ y z)))
(/ (* x (+ (neg y) z)) z)
(fma x (/ y (neg z)) x)
(/ (* x (+ y (neg z))) (neg z))
(fma x (/ y (neg z)) x)
(neg (/ (* (neg x) (+ y z)) z))
(* x (+ (/ y z) 1))
(neg (/ (* x (+ (neg y) z)) z))
(* x (/ (- y z) z))
(neg (/ (* x (+ y (neg z))) (neg z)))
(* x (/ (- y z) z))
(/ (* y (+ x z)) z)
(* y (+ (/ x z) 1))
(/ (* z (+ y x)) x)
(* (+ x y) (/ z x))
(/ (* x (+ z y)) y)
(* (+ y z) (/ x y))

Symmetry

(negabs x)

explain107.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
38	-	1	(6.086502286683466e-250 5.489873077730416e-157 -6.477703319338057e-63)	`(/.f64 (*.f64 x (+.f64 y z)) z)`
0	-	0	-	`x`
0	-	0	-	`(*.f64 x (+.f64 y z))`
0	-	0	-	`z`
0	-	0	-	`(+.f64 y z)`
0	-	0	-	`y`

Results

65.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-add: 36.0ms (81.2% of total)

ival-div: 4.0ms (9% of total)

ival-mult: 4.0ms (9% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	94.4%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 20 to 13 computations (35% saved)

simplify288.0ms (4.7%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

4988×	`-lowering-.f32`
4988×	`-lowering-.f64`
1932×	`fma-define`
1766×	`associate-/r/`
1642×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	30	37
2	49	35
3	95	35
4	128	35
5	231	35
6	292	35
7	386	35
8	913	35
9	2134	35
10	3350	35
11	3787	35
12	4002	35
13	4114	35
14	4255	35
15	4417	35
16	6012	35
17	7457	35
0	8221	35

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize40.0ms (0.6%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(*.f64 x (+.f64 y z))
✓	accuracy	86.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	94.4%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

29.0ms

256×

valid

Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 6.0ms (43.6% of total)

ival-div: 4.0ms (29.1% of total)

ival-mult: 3.0ms (21.8% of total)

const: 0.0ms (0% of total)

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

series29.0ms (0.5%)

Counts

6 → 180

Calls

Call 1

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

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

Calls

45 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(/ (* x (+ y z)) z)
2.0ms	z	@	0	(/ (* x (+ y z)) z)
1.0ms	z	@	-inf	(* x (+ 1 (/ y z)))
1.0ms	x	@	0	(* x (+ 1 (/ y z)))
1.0ms	y	@	inf	(* x (+ 1 (/ y z)))

rewrite318.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3304×	`-lowering-.f32`
3304×	`-lowering-.f64`
2740×	`/-lowering-/.f32`
2740×	`/-lowering-/.f64`
1322×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	67	30
2	540	29
3	7406	29
0	8095	29

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 310

Calls

Call 1

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

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

simplify183.0ms (3%)

Algorithm

1×	egg-herbie

Rules

2374×	`fnmadd-define`
1892×	`fmsub-define`
1886×	`fnmsub-define`
1594×	`fma-lowering-fma.f32`
1594×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	858
1	201	798
2	573	798
3	1754	798
4	5175	798
0	8358	798

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

eval103.0ms (1.7%)

Compiler: Compiled 8348 to 964 computations (88.5% saved)

prune332.0ms (5.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	482	8	490
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	483	9	492

Accuracy

100.0%

Counts

492 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.0%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z))) z)
✓	86.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
▶	36.7%	(/.f64 (*.f64 x z) z)
	52.8%	(/.f64 (*.f64 x y) z)
▶	50.7%	(/.f64 x (/.f64 z y))
▶	94.9%	(+.f64 (/.f64 x (/.f64 z y)) x)
	85.1%	(*.f64 (/.f64 x z) (+.f64 y z))
	50.2%	(*.f64 x (/.f64 y z))
▶	46.0%	x

Compiler

Compiled 146 to 92 computations (37% saved)

simplify320.0ms (5.2%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 y z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 y z))
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z)))
✓	cost-diff	128	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z))) z)
✓	cost-diff	0	(*.f64 x z)
✓	cost-diff	256	(/.f64 (*.f64 x z) z)
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 x (/.f64 z y))
✓	cost-diff	0	(/.f64 z y)
✓	cost-diff	0	(/.f64 x (/.f64 z y))
✓	cost-diff	0	(+.f64 (/.f64 x (/.f64 z y)) x)

Rules

4392×	`-lowering-.f32`
4392×	`-lowering-.f64`
3734×	`distribute-lft-in`
3240×	`+-lowering-+.f64`
3240×	`+-lowering-+.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	27	57
2	49	57
3	83	57
4	240	57
5	1037	57
6	2352	57
7	3236	57
8	3916	57
9	4000	57
10	4033	57
11	4064	57
12	4918	57
13	5161	57
14	5671	57
15	7773	57
0	9951	57

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize75.0ms (1.2%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 y z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 y z))
✓	accuracy	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z)))
✓	accuracy	86.2%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 y z))) z)
✓	accuracy	100.0%	(*.f64 x z)
✓	accuracy	75.6%	(/.f64 (*.f64 x z) z)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	90.7%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	100.0%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	accuracy	90.7%	(/.f64 x (/.f64 z y))

Results

58.0ms

256×

valid

Compiler

Compiled 72 to 14 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-div: 30.0ms (86.8% of total)

ival-add: 3.0ms (8.7% of total)

ival-mult: 2.0ms (5.8% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Counts

9 → 264

Calls

Call 1

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

Outputs
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* x (+ 1 (/ y z)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y z)) 1)))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<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 (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt (/ (* x (+ y z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (* y (+ (/ x y) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt (/ (+ (* x y) (* x z)) z)>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt x>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (+ x (/ (* x y) z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (/ 1 z)>
#<alt (+ (* -1 (/ y (pow z 2))) (/ 1 z))>
#<alt (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))>
#<alt (/ 1 y)>
#<alt (/ (+ 1 (* -1 (/ z y))) y)>
#<alt (/ (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) y)>
#<alt (/ (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) y)>
#<alt (/ 1 y)>
#<alt (* -1 (/ (- (/ z y) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) z) y)) 1) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y)) z) y)) 1) y))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ z (pow y 2))) (/ 1 y))>
#<alt (+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (* -1 (/ y z))) z)>
#<alt (/ (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) z)>
#<alt (/ (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ y z) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z)) y) z)) 1) z))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>

Calls

66 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(/ 1 (+ y z))
1.0ms	x	@	0	(+ (/ x (/ z y)) x)
0.0ms	x	@	inf	(+ (/ x (/ z y)) x)
0.0ms	z	@	-inf	(/ z y)
0.0ms	x	@	-inf	(+ (/ x (/ z y)) x)

rewrite357.0ms (5.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4780×	`-lowering-.f32`
4780×	`-lowering-.f64`
3680×	`/-lowering-/.f32`
3680×	`/-lowering-/.f64`
1188×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	91	36
2	705	36
0	8594	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 839

Calls

Call 1

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

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

simplify244.0ms (4%)

Algorithm

1×	egg-herbie

Rules

2622×	`-lowering-.f32`
2622×	`-lowering-.f64`
1422×	`fnmsub-define`
1354×	`/-lowering-/.f32`
1354×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1324
1	526	1241
2	1457	1229
3	4936	1226
0	8372	1226

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* x (+ 1 (/ y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z 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 z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
(/ (* x (+ y z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(* y (+ (/ x y) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(/ (* x y) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
(/ (+ (* x y) (* x z)) z)
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
x
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(+ x (/ (* x y) z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(/ 1 z)
(+ (* -1 (/ y (pow z 2))) (/ 1 z))
(+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))
(+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(/ 1 y)
(/ (+ 1 (* -1 (/ z y))) y)
(/ (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) y)
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) y)
(/ 1 y)
(* -1 (/ (- (/ z y) 1) y))
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) z) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y)) z) y)) 1) y))
(/ 1 y)
(+ (* -1 (/ z (pow y 2))) (/ 1 y))
(+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(/ 1 z)
(/ (+ 1 (* -1 (/ y z))) z)
(/ (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) z)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) z)
(/ 1 z)
(* -1 (/ (- (/ y z) 1) z))
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) z)) 1) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z)) y) z)) 1) z))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))

Outputs
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ 1 (/ y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* x (- (* -1 (/ y z)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z 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 z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (* x (+ y z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* y (+ (/ x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
(/ (+ (* x y) (* x z)) z)
(/.f64 (*.f64 x (+.f64 y z)) z)
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+ x (/ (* x y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x (+ y z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* y (+ x (/ (* x z) y)))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(*.f64 x (+.f64 y z))
(* x y)
(*.f64 x y)
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(+ (* x y) (* x z))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* z (+ x (/ (* x y) z)))
(*.f64 x (+.f64 y z))
(* x z)
(*.f64 x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(*.f64 x (+.f64 y z))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (* -1 (/ y (pow z 2))) (/ 1 z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) z)
(+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))
(+.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 z (.f64 z z))) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) (.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 (/ z y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(/ (- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) y)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z y))) y)) y)
(/ (- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (.f64 z (.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z y)))) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* -1 (/ (- (/ z y) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(* -1 (/ (- (* -1 (/ (- (/ (pow z 2) y) z) y)) 1) y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z y))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (pow z 2)) y)) z) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 z (/.f64 (.f64 z (.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z y)))) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* -1 (/ z (pow y 2))) (/ 1 y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y)
(+ (* z (- (/ z (pow y 3)) (/ 1 (pow y 2)))) (/ 1 y))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 z y))) y)) y)
(+ (* z (- (* z (+ (* -1 (/ z (pow y 4))) (/ 1 (pow y 3)))) (/ 1 (pow y 2)))) (/ 1 y))
(+.f64 (.f64 (.f64 z z) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y (.f64 y y))) (/.f64 z (pow.f64 y #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 z y)) y))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (* -1 (/ y z))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(/ (- (+ 1 (/ (pow y 2) (pow z 2))) (/ y z)) z)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) z)
(/ (- (+ 1 (* -1 (/ (pow y 3) (pow z 3)))) (+ (* -1 (/ (pow y 2) (pow z 2))) (/ y z))) z)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 (.f64 y y) (+.f64 (/.f64 y z) #s(literal -1 binary64))) z)) z)) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* -1 (/ (- (/ y z) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) z)
(* -1 (/ (- (* -1 (/ (- (/ (pow y 2) z) y) z)) 1) z))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) (+.f64 (/.f64 y z) #s(literal -1 binary64)))) z)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z)) y) z)) 1) z))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (/.f64 (.f64 (.f64 y y) (+.f64 (/.f64 y z) #s(literal -1 binary64))) z)) z)) z)
z
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
y
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
z
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)

eval169.0ms (2.7%)

Compiler: Compiled 19426 to 1983 computations (89.8% saved)

prune147.0ms (2.4%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1257	4	1261
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	1260	10	1270

Accuracy

100.0%

Counts

1270 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.7%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	86.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	36.7%	(/.f64 (*.f64 x z) z)
▶	52.8%	(/.f64 (*.f64 x y) z)
✓	50.7%	(/.f64 x (/.f64 z y))
▶	45.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	94.9%	(+.f64 (/.f64 x (/.f64 z y)) x)
▶	50.2%	(*.f64 (/.f64 y z) x)
▶	50.8%	(*.f64 (/.f64 x z) y)
✓	46.0%	x

Compiler

Compiled 124 to 81 computations (34.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
✓	cost-diff	128	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	128	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(/.f64 y z)
✓	cost-diff	0	(*.f64 (/.f64 y z) x)
✓	cost-diff	0	(/.f64 x z)
✓	cost-diff	0	(*.f64 (/.f64 x z) y)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(/.f64 (*.f64 x y) z)

Rules

104×	`-lowering-.f32`
104×	`-lowering-.f64`
98×	`times-frac`
86×	`/-lowering-/.f32`
86×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	30	52
2	62	52
3	132	52
4	210	52
5	223	52
0	223	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (* x y) z)
(* x y)
x
y
z
(* (/ x z) y)
(/ x z)
x
z
y
(* (/ y z) x)
(/ y z)
y
z
x
(/ 1 (/ 1 x))
1
(/ 1 x)
x
(/ (/ x (/ 1 y)) z)
(/ x (/ 1 y))
x
(/ 1 y)
1
y
z

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

localize78.0ms (1.3%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) y))
✓	accuracy	94.6%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	90.6%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	91.7%	(*.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	94.6%	(/.f64 (*.f64 x y) z)

Results

59.0ms

256×

valid

Compiler

Compiled 66 to 16 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 14.0ms (70.9% of total)

ival-mult: 6.0ms (30.4% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

11 → 276

Calls

Call 1

Inputs
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* (/ x z) y)>
#<alt (/ x z)>
#<alt (* (/ y z) x)>
#<alt (/ y z)>
#<alt (/ 1 (/ 1 x))>
#<alt (/ 1 x)>
#<alt (/ (/ x (/ 1 y)) z)>
#<alt (/ x (/ 1 y))>
#<alt (/ 1 y)>

Outputs
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<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 y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<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 (/ 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 (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<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 (/ 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)>

Calls

69 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(/ x z)
0.0ms	x	@	-inf	(/ x z)
0.0ms	x	@	-inf	(/ 1 x)
0.0ms	x	@	-inf	(* x y)
0.0ms	x	@	inf	(* x y)

rewrite236.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2412×	`-lowering-.f32`
2412×	`-lowering-.f64`
1620×	`/-lowering-/.f32`
1620×	`/-lowering-/.f64`
1610×	`sum3-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	75	37
2	412	37
3	2145	37
4	7529	37
0	8448	37

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 805

Calls

Call 1

Inputs
(/ (* x y) z)
(* x y)
(* (/ x z) y)
(/ x z)
(* (/ y z) x)
(/ y z)
(/ 1 (/ 1 x))
(/ 1 x)
(/ (/ x (/ 1 y)) z)
(/ x (/ 1 y))
(/ 1 y)

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

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

12×	`-lowering-.f32`
12×	`-lowering-.f64`
10×	`/-lowering-/.f32`
10×	`/-lowering-/.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	1068
1	16	1068
2	18	1068
3	19	1068
0	19	1068

Stop Event

1×	iter limit
1×	saturated

Counts

276 → 276

Calls

Call 1

Inputs
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* 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) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
x
x
x
x
x
x
x
x
x
x
x
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)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(* 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)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)
(/ 1 y)

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

eval173.0ms (2.8%)

Compiler: Compiled 11648 to 1066 computations (90.8% saved)

prune65.0ms (1.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	1081	0	1081
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	1081	10	1091

Accuracy

100.0%

Counts

1091 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.7%	(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) z)
✓	86.2%	(/.f64 (*.f64 x (+.f64 y z)) z)
✓	36.7%	(/.f64 (*.f64 x z) z)
✓	52.8%	(/.f64 (*.f64 x y) z)
✓	50.7%	(/.f64 x (/.f64 z y))
✓	45.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	94.9%	(+.f64 (/.f64 x (/.f64 z y)) x)
✓	50.2%	(*.f64 (/.f64 y z) x)
✓	50.8%	(*.f64 (/.f64 x z) y)
✓	46.0%	x

Compiler

Compiled 165 to 83 computations (49.7% saved)

regimes23.0ms (0.4%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	z
5.0ms	x
5.0ms	y
5.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)

Results

Accuracy	Segments	Branch
96.9%	2	`x`
94.9%	1	`y`
98.4%	3	`z`
94.9%	1	`(/.f64 (*.f64 x (+.f64 y z)) z)`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes9.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	z
4.0ms	x

Results

Accuracy	Segments	Branch
98.2%	3	`z`
94.9%	1	`x`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.1%	3	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
3.0ms	y
3.0ms	z

Results

Accuracy	Segments	Branch
62.2%	5	`x`
76.6%	3	`y`
75.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
76.4%	3	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
70.6%	3	`z`
73.0%	3	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	z
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
46.0%	1	`x`
46.0%	1	`z`
46.0%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch3.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
3.0ms	1.5576989330129793e-13	3.2453039473201354e-13

Results

2.0ms

32×

valid

Compiler

Compiled 60 to 39 computations (35% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

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)

bsearch24.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.061649033709308e-148	2.0824390776726515e-137
8.0ms	-1.3973941363972351e-245	-6.130841317781587e-246

Results

15.0ms

240×

valid

Compiler

Compiled 316 to 206 computations (34.8% saved)

Precisions

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

ival-div: 3.0ms (44.3% of total)

ival-add: 2.0ms (29.5% of total)

ival-mult: 2.0ms (29.5% of total)

const: 0.0ms (0% of total)

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

bsearch22.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.061649033709308e-148	2.0824390776726515e-137
7.0ms	-1.3973941363972351e-245	-6.130841317781587e-246

Results

13.0ms

240×

valid

Compiler

Compiled 316 to 221 computations (30.1% saved)

Precisions

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

ival-div: 2.0ms (33.8% of total)

ival-mult: 2.0ms (33.8% of total)

ival-add: 1.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	0.0009086054932329682	395.3592919265175
12.0ms	-2.865406929642552e-6	-9.24966354126785e-12

Results

34.0ms

288×

valid

Compiler

Compiled 268 to 191 computations (28.7% saved)

Precisions

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

ival-div: 2.0ms (31.9% of total)

ival-add: 2.0ms (31.9% of total)

ival-mult: 2.0ms (31.9% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0009086054932329682	395.3592919265175
30.0ms	-2.865406929642552e-6	-9.24966354126785e-12

Results

15.0ms

288×

valid

Compiler

Compiled 268 to 191 computations (28.7% saved)

Precisions

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

ival-div: 2.0ms (31.5% of total)

ival-add: 2.0ms (31.5% of total)

ival-mult: 2.0ms (31.5% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0009086054932329682	395.3592919265175
30.0ms	-2.865406929642552e-6	-9.24966354126785e-12

Results

32.0ms

288×

valid

Compiler

Compiled 268 to 191 computations (28.7% saved)

Precisions

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

ival-div: 2.0ms (31.2% of total)

ival-add: 2.0ms (31.2% of total)

ival-mult: 2.0ms (31.2% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	106
1	74	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (/.f64 (*.f64 x (+.f64 y z)) z) (+.f64 (/.f64 x (/.f64 z y)) x))
(if (<=.f64 z #s(literal -3148880786512287/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232 binary64)) (+.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z #s(literal 6622401105567585/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 (*.f64 x y) z) (+.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z #s(literal -6789774195917119/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 z #s(literal 6622401105567585/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 (.f64 x y) z) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -4533471823554859/604462909807314587353088 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 7638104968020361/288230376151711744 binary64)) x (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -1662273001970115/37778931862957161709568 binary64)) (.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 5764607523034235/144115188075855872 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -8689154328480147/37778931862957161709568 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 3242591731706757/72057594037927936 binary64)) x (.f64 x (/.f64 y z))))
x

Outputs
(if (<=.f64 x #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (/.f64 (*.f64 x (+.f64 y z)) z) (+.f64 (/.f64 x (/.f64 z y)) x))
(if (<=.f64 x #s(literal 3961408125713217/19807040628566084398385987584 binary64)) (/.f64 (*.f64 x (+.f64 y z)) z) (+.f64 x (/.f64 x (/.f64 z y))))
(if (<=.f64 z #s(literal -3148880786512287/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232 binary64)) (+.f64 (/.f64 x (/.f64 z y)) x) (if (<=.f64 z #s(literal 6622401105567585/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 (*.f64 x y) z) (+.f64 (/.f64 x (/.f64 z y)) x)))
(if (<=.f64 z #s(literal -3148880786512287/246006311446272417135694895366447328831463738361430131889861407236509911043906984606020737387080298687645418100644428599105378407753391907201399550988776412284181771799458695654166637769167516870901097035133833253825096549816225533764062867857067136321933279232 binary64)) (+.f64 x (/.f64 x (/.f64 z y))) (if (<=.f64 z #s(literal 6622401105567585/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 (*.f64 x y) z) (+.f64 x (/.f64 x (/.f64 z y)))))
(if (<=.f64 z #s(literal -6789774195917119/492012622892544834271389790732894657662927476722860263779722814473019822087813969212041474774160597375290836201288857198210756815506783814402799101977552824568363543598917391308333275538335033741802194070267666507650193099632451067528125735714134272643866558464 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 z #s(literal 6622401105567585/7198262071269114212496861612297570974191515389283066612961208916178940129074380592510465097766225371439873457013633432197133225688790879502413624289384262168215552 binary64)) (/.f64 (.f64 x y) z) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -4533471823554859/604462909807314587353088 binary64)) (/.f64 (.f64 x y) z) (if (<=.f64 y #s(literal 7638104968020361/288230376151711744 binary64)) x (/.f64 (.f64 x y) z)))
(if (<=.f64 y #s(literal -1662273001970115/37778931862957161709568 binary64)) (.f64 (/.f64 x z) y) (if (<=.f64 y #s(literal 5764607523034235/144115188075855872 binary64)) x (.f64 (/.f64 x z) y)))
(if (<=.f64 y #s(literal -1662273001970115/37778931862957161709568 binary64)) (.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 5764607523034235/144115188075855872 binary64)) x (.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -8689154328480147/37778931862957161709568 binary64)) (.f64 x (/.f64 y z)) (if (<=.f64 y #s(literal 3242591731706757/72057594037927936 binary64)) x (.f64 x (/.f64 y z))))
x

soundness1.5s (23.6%)

Rules

4780×	`-lowering-.f32`
4780×	`-lowering-.f64`
3748×	`-lowering-.f32`
3748×	`-lowering-.f64`
3680×	`/-lowering-/.f32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	67	30
2	540	29
3	7406	29
0	8095	29
0	56	858
1	201	798
2	573	798
3	1754	798
4	5175	798
0	8358	798
0	6	7
1	16	7
2	24	7
3	27	7
4	35	7
5	43	7
6	47	7
7	56	6
8	67	6
9	176	6
10	598	6
11	2548	6
12	4101	6
13	4426	6
14	4567	6
15	4678	6
16	4825	6
17	5001	6
18	6578	6
19	7853	6
0	8044	6
0	13	43
1	91	36
2	705	36
0	8594	36

Stop Event

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

Compiler

Compiled 307 to 166 computations (45.9% saved)

preprocess54.0ms (0.9%)

Remove: (negabs x)
Compiler: Compiled 366 to 150 computations (59% saved)

analyze42.0ms (0.7%)

sample647.0ms (10.5%)

preprocess387.0ms (6.3%)

explain107.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify288.0ms (4.7%)

localize40.0ms (0.6%)

series29.0ms (0.5%)

rewrite318.0ms (5.2%)

simplify183.0ms (3%)

eval103.0ms (1.7%)

prune332.0ms (5.4%)

simplify320.0ms (5.2%)

localize75.0ms (1.2%)

series13.0ms (0.2%)

rewrite357.0ms (5.8%)

simplify244.0ms (4%)

eval169.0ms (2.7%)

prune147.0ms (2.4%)

simplify10.0ms (0.2%)

localize78.0ms (1.3%)

series6.0ms (0.1%)

rewrite236.0ms (3.8%)

simplify43.0ms (0.7%)

eval173.0ms (2.8%)

prune65.0ms (1.1%)

regimes23.0ms (0.4%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch3.0ms (0.1%)

bsearch24.0ms (0.4%)

bsearch22.0ms (0.4%)

bsearch44.0ms (0.7%)

bsearch44.0ms (0.7%)

bsearch44.0ms (0.7%)

simplify11.0ms (0.2%)

soundness1.5s (23.6%)

preprocess54.0ms (0.9%)

end0.0ms (0%)

Profiling