Metrics for Diagrams.Solve.Tridiagonal:solveCyclicTriDiagonal from diagrams-solve-0.1, A

analyze65.0ms (1.6%)

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 9 to 6 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 6.0ms (68.5% of total)

ival-div: 2.0ms (22.8% of total)

const: 0.0ms (0% of total)

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

sample610.0ms (15.6%)

Results

397.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-mult: 82.0ms (49.8% of total)

ival-div: 72.0ms (43.7% of total)

const: 7.0ms (4.2% of total)

backward-pass: 3.0ms (1.8% of total)

Bogosity

preprocess106.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

1624×	`fnmadd-define`
1568×	`fma-define`
1086×	`sum3-define`
818×	`times-frac`
584×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	53
1	60	53
2	145	53
3	484	53
4	1316	53
5	2859	53
6	4651	53
7	4773	53
8	4849	53
9	4961	53
10	4993	53
0	5	5
1	8	5
2	11	5
3	12	5
0	12	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (* x y) z)

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

Call 2

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

Outputs
(/ (* x y) z)
(* y (/ x z))
(/ (* (neg x) y) z)
(* y (/ x (neg z)))
(/ (* x (neg y)) z)
(* y (/ x (neg z)))
(/ (* x y) (neg z))
(* y (/ x (neg z)))
(neg (/ (* (neg x) y) z))
(* y (/ x z))
(neg (/ (* x (neg y)) z))
(* y (/ x z))
(neg (/ (* x y) (neg z)))
(* y (/ x z))
(/ (* y x) z)
(* y (/ x z))
(/ (* z y) x)
(* z (/ y x))
(/ (* x z) y)
(* x (/ z y))

Symmetry

(negabs x)

(negabs y)

(negabs z)

(sort x y)

explain74.0ms (1.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
17	-	1	(1.0727911132174989e-259 2.6200092311004218e-58 9.996424973860478e-286)	`(/.f64 (*.f64 x y) z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`
0	-	0	-	`z`
0	-	0	-	`y`

Results

30.0ms

512×

valid

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (56% of total)

ival-div: 4.0ms (44.8% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.8%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	11	11
3	12	11
0	12	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize21.0ms (0.5%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	93.8%	(/.f64 (*.f64 x y) z)

Results

16.0ms

256×

valid

Compiler

Compiled 15 to 6 computations (60% saved)

Precisions

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

ival-div: 2.0ms (43.7% of total)

ival-mult: 2.0ms (43.7% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.2%)

Counts

2 → 60

Calls

Call 1

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

Calls

15 calls:

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

rewrite177.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2136×	`/-lowering-/.f32`
2136×	`/-lowering-/.f64`
1754×	`-lowering-.f32`
1754×	`-lowering-.f64`
996×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	71	8
3	367	8
4	2401	8
0	9178	8

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 202

Calls

Call 1

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

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

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	252
1	8	252
2	11	252
3	12	252
0	12	252

Stop Event

1×	iter limit
1×	saturated

Counts

60 → 60

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)

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)

eval26.0ms (0.7%)

Compiler: Compiled 3244 to 415 computations (87.2% saved)

prune46.0ms (1.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	256	6	262
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	256	7	263

Accuracy

100.0%

Counts

263 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	93.6%	(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
▶	90.9%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	93.8%	(/.f64 (*.f64 x y) z)
▶	93.5%	(/.f64 y (/.f64 z x))
▶	91.3%	(/.f64 x (/.f64 z y))
▶	94.5%	(*.f64 (/.f64 x z) y)
	29.8%	(.f64 (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x y) (.f64 x y)) z)))

Compiler

Compiled 148 to 83 computations (43.9% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
38×	`/-lowering-/.f32`
38×	`/-lowering-/.f64`
24×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	62
1	30	61
2	40	61
3	63	61
4	70	61
5	77	61
6	79	61
7	81	61
0	81	61

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize73.0ms (1.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	99.7%	(/.f64 y (/.f64 #s(literal 1 binary64) x))
✓	accuracy	93.8%	(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) x)
✓	accuracy	90.9%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	93.5%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	91.3%	(/.f64 x (/.f64 z y))
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	94.5%	(*.f64 (/.f64 x z) y)

Results

54.0ms

256×

valid

Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 18.0ms (71.1% of total)

ival-mult: 7.0ms (27.6% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Counts

11 → 312

Calls

Call 1

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

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 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 (/ 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 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 x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z 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 (/ 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 (/ 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)>

Calls

78 calls:

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

rewrite270.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2374×	`-lowering-.f32`
2374×	`-lowering-.f64`
1754×	`/-lowering-/.f32`
1754×	`/-lowering-/.f64`
1614×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	77	42
2	417	42
3	2059	42
4	6990	42
0	8175	42

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 988

Calls

Call 1

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

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

simplify30.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	1284
1	16	1284
2	18	1284
3	19	1284
0	19	1284

Stop Event

1×	iter limit
1×	saturated

Counts

312 → 312

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 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)
(/ 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 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 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)
(/ (* 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)
(/ 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)

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 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)
(/ 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 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 x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z x)
(/ z x)
(/.f64 z 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)
(/ 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)
(/ 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)

eval200.0ms (5.1%)

Compiler: Compiled 16353 to 1250 computations (92.4% saved)

prune69.0ms (1.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1348	1	1349
Fresh	1	0	1
Picked	0	5	5
Done	0	1	1
Total	1349	7	1356

Accuracy

100.0%

Counts

1356 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.7%	(/.f64 (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))) z)
✓	93.6%	(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
✓	90.9%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	93.8%	(/.f64 (*.f64 x y) z)
✓	93.5%	(/.f64 y (/.f64 z x))
✓	91.3%	(/.f64 x (/.f64 z y))
✓	94.5%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 70 to 47 computations (32.9% saved)

simplify134.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓	cost-diff	512	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))
✓	cost-diff	640	(/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)))
✓	cost-diff	640	(/.f64 (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))) z)

Rules

1958×	`sum3-define`
1904×	`-lowering-.f32`
1904×	`-lowering-.f64`
1802×	`div-sub`
1112×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	29	60
2	76	52
3	275	30
4	1246	30
5	2735	30
6	4960	30
7	6804	30
8	7586	30
0	8008	30

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ y (/ (- 0 (/ (/ 1 x) x)) (/ -1 x))) z)
(/ y (/ (- 0 (/ (/ 1 x) x)) (/ -1 x)))
y
(/ (- 0 (/ (/ 1 x) x)) (/ -1 x))
(- 0 (/ (/ 1 x) x))
0
(/ (/ 1 x) x)
(/ 1 x)
1
x
(/ -1 x)
-1
z

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

localize88.0ms (2.2%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.7%	(/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x)))
✓	accuracy	93.8%	(/.f64 (/.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))) z)
✓	accuracy	51.2%	(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal -1 binary64) x))

Results

74.0ms

256×

valid

Compiler

Compiled 67 to 14 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-div: 10.0ms (81% of total)

ival-sub: 1.0ms (8.1% of total)

const: 1.0ms (8.1% of total)

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

series2.0ms (0%)

Counts

5 → 96

Calls

Call 1

Inputs
#<alt (/ (/ y (/ (- 0 (/ (/ 1 x) x)) (/ -1 x))) z)>
#<alt (/ y (/ (- 0 (/ (/ 1 x) x)) (/ -1 x)))>
#<alt (/ (- 0 (/ (/ 1 x) x)) (/ -1 x))>
#<alt (- 0 (/ (/ 1 x) x))>
#<alt (/ (/ 1 x) x)>

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 (/ 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 (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>

Calls

24 calls:

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

rewrite82.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

414×	`/-lowering-/.f32`
414×	`/-lowering-/.f64`
292×	`-lowering-.f32`
292×	`-lowering-.f64`
70×	`frac-2neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	80	28
0	725	28

Stop Event

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

Counts

5 → 135

Calls

Call 1

Inputs
(/ (/ y (/ (- 0 (/ (/ 1 x) x)) (/ -1 x))) z)
(/ y (/ (- 0 (/ (/ 1 x) x)) (/ -1 x)))
(/ (- 0 (/ (/ 1 x) x)) (/ -1 x))
(- 0 (/ (/ 1 x) x))
(/ (/ 1 x) x)

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

18×	`/-lowering-/.f32`
18×	`/-lowering-/.f64`
14×	`-lowering-.f32`
14×	`-lowering-.f64`
6×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	384
1	20	384
2	26	384
3	27	384
0	27	384

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

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)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))

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

eval46.0ms (1.2%)

Compiler: Compiled 3079 to 511 computations (83.4% saved)

prune25.0ms (0.6%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	230	1	231
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	231	7	238

Accuracy

100.0%

Counts

238 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	63.6%	(/.f64 (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) z)
✓	93.6%	(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
✓	90.9%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	93.8%	(/.f64 (*.f64 x y) z)
✓	93.5%	(/.f64 y (/.f64 z x))
✓	91.3%	(/.f64 x (/.f64 z y))
✓	94.5%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 66 to 43 computations (34.8% saved)

simplify631.0ms (16.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	cost-diff	128	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	cost-diff	384	(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)
✓	cost-diff	384	(/.f64 (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) z)

Rules

7758×	`-lowering-.f32`
7758×	`-lowering-.f64`
2840×	`cube-prod`
2190×	`/-lowering-/.f32`
2190×	`/-lowering-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	35
1	20	32
2	52	24
3	145	24
4	451	24
5	1291	24
6	1446	24
7	1604	24
8	1858	24
9	2205	24
10	2679	24
11	4654	24
12	4850	24
13	4956	24
14	5030	24
15	5100	24
16	5807	24
17	7697	24
0	8045	24

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize34.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	accuracy	93.8%	(/.f64 (/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) z)
✓	accuracy	84.5%	(/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓	accuracy	74.6%	(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)

Results

25.0ms

256×

valid

Compiler

Compiled 43 to 10 computations (76.7% saved)

Precisions

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

ival-div: 8.0ms (72.3% of total)

ival-mult: 2.0ms (18.1% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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 (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (* (pow x 2) y)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>

Calls

24 calls:

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

rewrite122.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`/-lowering-/.f32`
1138×	`/-lowering-/.f64`
1080×	`-lowering-.f32`
1080×	`-lowering-.f64`
636×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	50	24
2	339	16
0	2454	16

Stop Event

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

Counts

4 → 275

Calls

Call 1

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

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

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

22×	`-lowering-.f32`
22×	`-lowering-.f64`
12×	`/-lowering-/.f32`
12×	`/-lowering-/.f64`
8×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	420
1	18	420
2	25	420
3	27	420
0	27	420

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

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)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))

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)
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(* (pow x 2) y)
(.f64 x (.f64 x y))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))

eval40.0ms (1%)

Compiler: Compiled 3897 to 680 computations (82.6% saved)

prune41.0ms (1.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	370	1	371
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	371	7	378

Accuracy

100.0%

Counts

378 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.4%	(/.f64 (/.f64 (.f64 (.f64 y x) x) x) z)
✓	93.6%	(/.f64 (/.f64 y (/.f64 #s(literal 1 binary64) x)) z)
✓	90.9%	(/.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) x))
✓	93.8%	(/.f64 (*.f64 x y) z)
✓	93.5%	(/.f64 y (/.f64 z x))
✓	91.3%	(/.f64 x (/.f64 z y))
✓	94.5%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 159 to 80 computations (49.7% saved)

regimes28.0ms (0.7%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

13.0ms	(*.f64 x y)
4.0ms	y
4.0ms	z
4.0ms	x
3.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
96.7%	2	`x`
96.9%	2	`y`
99.8%	2	`z`
99.8%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes49.0ms (1.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	z
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
94.5%	1	`x`
94.5%	1	`y`
94.5%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch10.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	5.496979309388863e-23	1.4288716952918739e-21

Results

5.0ms

112×

valid

Compiler

Compiled 140 to 94 computations (32.9% saved)

Precisions

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

ival-div: 1.0ms (48.6% of total)

ival-mult: 1.0ms (48.6% of total)

const: 0.0ms (0% of total)

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

simplify27.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	11	19

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 z #s(literal 6592970859093183/10633823966279326983230456482242756608 binary64)) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))
(*.f64 (/.f64 x z) y)

Outputs
(if (<=.f64 z #s(literal 6592970859093183/10633823966279326983230456482242756608 binary64)) (*.f64 (/.f64 x z) y) (/.f64 x (/.f64 z y)))
(*.f64 (/.f64 x z) y)

soundness284.0ms (7.3%)

Rules

2136×	`/-lowering-/.f32`
2136×	`/-lowering-/.f64`
1754×	`-lowering-.f32`
1754×	`-lowering-.f64`
996×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	16	8
2	71	8
3	367	8
4	2401	8
0	9178	8

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 46 to 25 computations (45.7% saved)

preprocess442.0ms (11.3%)

Compiler: Compiled 248 to 140 computations (43.5% saved)

analyze65.0ms (1.6%)

sample610.0ms (15.6%)

preprocess106.0ms (2.7%)

explain74.0ms (1.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify10.0ms (0.3%)

localize21.0ms (0.5%)

series6.0ms (0.2%)

rewrite177.0ms (4.5%)

simplify9.0ms (0.2%)

eval26.0ms (0.7%)

prune46.0ms (1.2%)

simplify7.0ms (0.2%)

localize73.0ms (1.9%)

series10.0ms (0.3%)

rewrite270.0ms (6.9%)

simplify30.0ms (0.8%)

eval200.0ms (5.1%)

prune69.0ms (1.8%)

simplify134.0ms (3.4%)

localize88.0ms (2.2%)

series2.0ms (0%)

rewrite82.0ms (2.1%)

simplify11.0ms (0.3%)

eval46.0ms (1.2%)

prune25.0ms (0.6%)

simplify631.0ms (16.1%)

localize34.0ms (0.9%)

series3.0ms (0.1%)

rewrite122.0ms (3.1%)

simplify14.0ms (0.4%)

eval40.0ms (1%)

prune41.0ms (1.1%)

regimes28.0ms (0.7%)

regimes49.0ms (1.2%)

bsearch10.0ms (0.2%)

simplify27.0ms (0.7%)

soundness284.0ms (7.3%)

preprocess442.0ms (11.3%)

end0.0ms (0%)

Profiling