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

analyze51.0ms (1.7%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

Precisions

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

ival-mult: 7.0ms (60.1% of total)

ival-div: 4.0ms (34.4% of total)

const: 0.0ms (0% of total)

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

sample878.0ms (29.8%)

Results

555.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 207.0ms

ival-mult: 100.0ms (48.3% of total)

ival-div: 94.0ms (45.4% of total)

const: 9.0ms (4.3% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess101.0ms (3.4%)

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)

explain71.0ms (2.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
15	-	2	(1.3290269405756045e-236 2.3667005891007936e-84 2.193123406609325e-20)	`(/.f64 (*.f64 x y) z)`
0	-	0	-	`(*.f64 x y)`
0	-	0	-	`x`
0	-	0	-	`z`
0	-	0	-	`y`

Results

50.0ms

512×

valid

Compiler

Compiled 38 to 17 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 12.0ms (70.6% of total)

ival-mult: 5.0ms (29.4% of total)

const: 1.0ms (5.9% 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
▶	94.7%	(/.f64 (*.f64 x y) z)

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify12.0ms (0.4%)

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

localize26.0ms (0.9%)

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	94.7%	(/.f64 (*.f64 x y) z)

Results

20.0ms

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 (43.8% of total)

ival-mult: 2.0ms (43.8% of total)

const: 0.0ms (0% of total)

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

series7.0ms (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) z)
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)

rewrite181.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2136×	`/-lowering-/.f32`
2136×	`/-lowering-/.f64`
1656×	`-lowering-.f32`
1656×	`-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	2405	8
0	9103	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 y (/.f64 z x)))
(exp.f64 (log.f64 (/.f64 y (/.f64 z x))))
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 z x))) #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 y (/.f64 z x)))) #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 y (/.f64 z x)))
(-.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 y (/.f64 z x)) (/.f64 z (*.f64 x y))) (/.f64 y (/.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z y)) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (.f64 x y))) (/.f64 y (/.f64 z x)))
(-.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 y (/.f64 z x)))) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 z (.f64 (.f64 x y) (.f64 x y)))) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))) #s(literal 0 binary64))) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64) (/.f64 y (/.f64 z x)))
(neg.f64 (/.f64 y (/.f64 z x)))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x y) z)
(/.f64 z (/.f64 z (/.f64 y (/.f64 z x))))
(/.f64 z (neg.f64 (/.f64 z (/.f64 y (/.f64 z x)))))
(/.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 y (/.f64 z x))) 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 y (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y (/.f64 z x)) (/.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 y (/.f64 z x)) (/.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 y (/.f64 z x)) #s(literal 1 binary64))
(/.f64 (/.f64 y (/.f64 z x)) #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 y (/.f64 z x)) (/.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 y (/.f64 z x)) (/.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 y (/.f64 z x)) (/.f64 z (.f64 x y))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y)))) (/.f64 y (/.f64 z x)))
(/.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 #s(literal 1 binary64) (.f64 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 y (/.f64 z x)) (/.f64 z (*.f64 x y))))) (/.f64 y (/.f64 z x)))
(/.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 y (/.f64 z x)) #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 y (/.f64 z x)) (/.f64 z (*.f64 x y))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (/.f64 z (*.f64 x y)) (/.f64 y (/.f64 z x))) #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 y (/.f64 z x)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 x y)) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z x)))
(.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 y (/.f64 z x)))
(*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y z))
(*.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(*.f64 (/.f64 y (/.f64 z x)) #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 #s(literal 1 binary64) (.f64 z z)))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 #s(literal -1 binary64) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 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 y (/.f64 z x)) (/.f64 z (*.f64 x y))) #s(literal 0 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 y (/.f64 z x)) (/.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 y (/.f64 z x)) (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 y (/.f64 z x)) (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 y (/.f64 z x)) (*.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 (.f64 x y) (.f64 x y)) (.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 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)))

simplify10.0ms (0.3%)

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)

eval37.0ms (1.3%)

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

prune48.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	257	5	262
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	257	6	263

Accuracy

100.0%

Counts

263 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.1%	(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
✓	94.7%	(/.f64 (*.f64 x y) z)
▶	90.9%	(/.f64 y (/.f64 z x))
▶	93.9%	(/.f64 x (/.f64 z y))
▶	93.1%	(*.f64 (/.f64 y z) x)
▶	92.2%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 92 to 59 computations (35.9% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Rules

40×	`-lowering-.f32`
40×	`-lowering-.f64`
38×	`/-lowering-/.f32`
38×	`/-lowering-/.f64`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	27	58
2	34	58
3	55	58
4	66	58
5	73	58
6	75	58
7	77	58
0	77	58

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize84.0ms (2.9%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
✓	accuracy	92.1%	(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
✓	accuracy	100.0%	(/.f64 z x)
✓	accuracy	90.9%	(/.f64 y (/.f64 z x))
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	93.1%	(*.f64 (/.f64 y z) x)
✓	accuracy	100.0%	(/.f64 x z)
✓	accuracy	92.2%	(*.f64 (/.f64 x z) y)
✓	accuracy	100.0%	(/.f64 z y)
✓	accuracy	93.9%	(/.f64 x (/.f64 z y))

Results

68.0ms

256×

valid

Compiler

Compiled 65 to 15 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 14.0ms (72.5% of total)

ival-mult: 4.0ms (20.7% of total)

const: 0.0ms (0% of total)

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

series10.0ms (0.3%)

Counts

10 → 288

Calls

Call 1

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

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

Calls

72 calls:

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

rewrite212.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2198×	`-lowering-.f32`
2198×	`-lowering-.f64`
1558×	`/-lowering-/.f32`
1558×	`/-lowering-/.f64`
1494×	`sum4-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	66	39
2	351	39
3	1965	39
4	6670	39
0	8193	39

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 838

Calls

Call 1

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

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

simplify32.0ms (1.1%)

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	1212
1	16	1212
2	18	1212
3	19	1212
0	19	1212

Stop Event

1×	iter limit
1×	saturated

Counts

288 → 288

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

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

eval140.0ms (4.7%)

Compiler: Compiled 14126 to 1046 computations (92.6% saved)

prune130.0ms (4.4%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	1202	0	1202
Fresh	0	0	0
Picked	0	5	5
Done	0	1	1
Total	1202	6	1208

Accuracy

100.0%

Counts

1208 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.1%	(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) y))
✓	94.7%	(/.f64 (*.f64 x y) z)
✓	90.9%	(/.f64 y (/.f64 z x))
✓	93.9%	(/.f64 x (/.f64 z y))
✓	93.1%	(*.f64 (/.f64 y z) x)
✓	92.2%	(*.f64 (/.f64 x z) y)

Compiler

Compiled 85 to 48 computations (43.5% saved)

regimes13.0ms (0.5%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	y
3.0ms	x
3.0ms	(*.f64 x y)
3.0ms	z
2.0ms	(/.f64 (*.f64 x y) z)

Results

Accuracy	Segments	Branch
97.6%	2	`x`
96.9%	2	`y`
99.7%	2	`z`
99.7%	2	`(/.f64 (*.f64 x y) z)`
99.8%	3	`(*.f64 x y)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes2.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.7%	2	`z`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.2%)

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:

3.0ms	x
1.0ms	z
1.0ms	y

Results

Accuracy	Segments	Branch
92.2%	1	`y`
92.2%	1	`x`
92.2%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.010150823437020359	13517.298774439536

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch11.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.232580825206397e+24	3.024467129043544e+29

Results

7.0ms

128×

valid

Compiler

Compiled 158 to 106 computations (32.9% saved)

Precisions

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

ival-div: 1.0ms (45.7% of total)

ival-mult: 1.0ms (45.7% of total)

const: 0.0ms (0% of total)

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

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	20	37

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (/.f64 (*.f64 x y) z) #s(literal 5764607523034235/288230376151711744 binary64)) (*.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x)))

(if (<=.f64 z #s(literal 12999999999999999245025280 binary64)) (*.f64 (/.f64 x z) y) (*.f64 (/.f64 y z) x))

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

Outputs
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 y z) x) (/.f64 y (/.f64 z x)))
(if (<=.f64 (/.f64 (.f64 x y) z) #s(literal 5764607523034235/288230376151711744 binary64)) (.f64 x (/.f64 y z)) (/.f64 y (/.f64 z x)))
(if (<=.f64 z #s(literal 12999999999999999245025280 binary64)) (.f64 (/.f64 x z) y) (.f64 (/.f64 y z) x))
(if (<=.f64 z #s(literal 12999999999999999245025280 binary64)) (.f64 y (/.f64 x z)) (.f64 x (/.f64 y z)))
(*.f64 (/.f64 x z) y)
(*.f64 y (/.f64 x z))

soundness430.0ms (14.6%)

Rules

2136×	`/-lowering-/.f32`
2136×	`/-lowering-/.f64`
1656×	`-lowering-.f32`
1656×	`-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	2405	8
0	9103	8

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 75 to 40 computations (46.7% saved)

preprocess432.0ms (14.7%)

Compiler: Compiled 484 to 266 computations (45% saved)

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

analyze51.0ms (1.7%)

sample878.0ms (29.8%)

preprocess101.0ms (3.4%)

explain71.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify12.0ms (0.4%)

localize26.0ms (0.9%)

series7.0ms (0.2%)

rewrite181.0ms (6.2%)

simplify10.0ms (0.3%)

eval37.0ms (1.3%)

prune48.0ms (1.6%)

simplify8.0ms (0.3%)

localize84.0ms (2.9%)

series10.0ms (0.3%)

rewrite212.0ms (7.2%)

simplify32.0ms (1.1%)

eval140.0ms (4.7%)

prune130.0ms (4.4%)

regimes13.0ms (0.5%)

regimes2.0ms (0.1%)

regimes6.0ms (0.2%)

bsearch0.0ms (0%)

bsearch11.0ms (0.4%)

simplify10.0ms (0.3%)

soundness430.0ms (14.6%)

preprocess432.0ms (14.7%)

end0.0ms (0%)

Profiling