Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, D

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample1.8s (46%)

Results

663.0ms	6057×	0	valid
665.0ms	2199×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 657.0ms

ival-mult: 280.0ms (42.6% of total)

ival-add: 152.0ms (23.1% of total)

backward-pass: 111.0ms (16.9% of total)

ival-sub: 107.0ms (16.3% of total)

const: 7.0ms (1.1% of total)

Bogosity

preprocess111.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

574×	`sub-neg`
557×	`unsub-neg`
325×	`distribute-lft-out--`
304×	`distribute-lft-neg-in`
282×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	48	662
1	183	367
2	641	264
3	2518	250
4	5638	250
5	7348	250

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y y)) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y (neg.f64 z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 (neg.f64 x) y) (.f64 y y)) (.f64 y y)) (.f64 y z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 x (neg.f64 y)) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 (neg.f64 y) z)))
(neg.f64 (-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y (neg.f64 z))))
(-.f64 (+.f64 (-.f64 (.f64 y x) (.f64 x x)) (.f64 x x)) (.f64 x z))
(-.f64 (+.f64 (-.f64 (.f64 z y) (.f64 y y)) (.f64 y y)) (.f64 y x))
(-.f64 (+.f64 (-.f64 (.f64 x z) (.f64 z z)) (.f64 z z)) (.f64 z y))

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

Symmetry

(negabs y)

explain119.0ms (3.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
102	-	-	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`
13	-	-	`(-.f64 (.f64 x y) (.f64 y y))`
6	-	-	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
0	-	-	`x`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 y y)`
0	-	-	`y`
0	-	-	`(*.f64 x y)`
0	-	-	`z`

Results

30.0ms	308×	0	valid
46.0ms	204×	1	valid

Compiler

Compiled 116 to 29 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 17.0ms (46.5% of total)

ival-sub: 7.0ms (19.2% of total)

backward-pass: 6.0ms (16.4% of total)

ival-add: 5.0ms (13.7% of total)

const: 1.0ms (2.7% of total)

eval0.0ms (0%)

Compiler: Compiled 28 to 13 computations (53.6% saved)

prune2.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(-.f64 (.f64 x y) (.f64 y z))
▶	100.0%	(*.f64 y (-.f64 x z))

Compiler

Compiled 18 to 11 computations (38.9% saved)

localize94.0ms (2.4%)

Algorithm

2×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(-.f64 (.f64 x y) (.f64 y z))
✓	cost-diff	0	(-.f64 x z)
✓	cost-diff	0	(*.f64 y (-.f64 x z))
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.9%	(-.f64 (.f64 x y) (.f64 y z))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 y (-.f64 x z))

Rules

192×	`fma-define`
190×	`fma-define`
134×	`fma-neg`
96×	`fma-neg`
43×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47
0	12	69
1	22	60
2	39	60
3	60	60
4	96	60
5	148	60
6	259	60
7	427	60
8	619	60
9	698	60
10	712	60

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

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

Outputs
(-.f64 (.f64 x y) (.f64 y z))
(fma.f64 x y (neg.f64 (*.f64 y z)))
(*.f64 y (-.f64 x z))
(*.f64 x y)
x
y
(*.f64 y z)
z

Call 2

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

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

Results

33.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

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

ival-mult: 5.0ms (57.9% of total)

ival-sub: 3.0ms (34.8% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.5%)

Counts

5 → 78

Calls

Call 1

Inputs
#<alt (*.f64 y (-.f64 x z))>
#<alt (-.f64 x z)>
#<alt (-.f64 (.f64 x y) (.f64 y z))>
#<alt (*.f64 x y)>
#<alt (*.f64 y z)>

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

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	z	@	inf	(* y (- x z))
1.0ms	y	@	-inf	(- (* x y) (* y z))
1.0ms	x	@	inf	(- (* x y) (* y z))
1.0ms	x	@	-inf	(* y (- x z))
1.0ms	y	@	inf	(- (* x y) (* y z))

rewrite299.0ms (7.7%)

Algorithm

1×	batch-egg-rewrite

Rules

971×	`log1p-expm1-u`
971×	`expm1-log1p-u`
644×	`fma-define`
256×	`fma-neg`
160×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	83
1	199	83
2	2848	83

Stop Event

1×	node limit

Counts

5 → 573

Calls

Call 1

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

Outputs
(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 y x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (.f64 y x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 y (neg.f64 z) (.f64 y z)))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (.f64 y (-.f64 x z)) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (.f64 y (-.f64 x z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y z))
(-.f64 (.f64 y x) (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 x z))) (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 y (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 x z)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
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(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) z (.f64 y x))
(fma.f64 (.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 y x))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (.f64 (log.f64 (.f64 y z)) #s(literal 1 binary64)))

simplify415.0ms (10.7%)

Algorithm

1×	egg-herbie

Rules

661×	`fma-neg`
616×	`distribute-lft-in`
391×	`distribute-lft-neg-in`
339×	`distribute-rgt-neg-in`
232×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	625	19306
1	1393	18777
2	3913	18208

Stop Event

1×	node limit

Counts

651 → 405

Calls

Call 1

Inputs
(.f64 #s(literal -1 binary64) (.f64 y z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(*.f64 x y)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) z)))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)))))
(*.f64 #s(literal -1 binary64) z)
x
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 z x))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 z x) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(+.f64 x (*.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 z (-.f64 (/.f64 x z) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 x y)
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(*.f64 x y)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (.f64 y z) x))))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(*.f64 y (-.f64 x z))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) z))))
(*.f64 x y)
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
(.f64 z (-.f64 (/.f64 (.f64 x y) z) y))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(.f64 #s(literal -1 binary64) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x y) z)) (*.f64 #s(literal -1 binary64) y))))
(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))
(+.f64 (.f64 y x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (.f64 y x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 y (neg.f64 z) (.f64 y z)))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(+.f64 (.f64 y (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(+.f64 (.f64 y (-.f64 x z)) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(+.f64 (.f64 y (-.f64 x z)) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (.f64 y (-.f64 x z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 y x))
(-.f64 (.f64 y x) (.f64 y z))
(-.f64 (.f64 y x) (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 x z)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 y z) #s(literal 3 binary64)) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (+.f64 x z))) (/.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 y (+.f64 x z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 y (+.f64 x z)) (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (*.f64 y (+.f64 x z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64)))) (neg.f64 (*.f64 y (+.f64 x z))))
(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y (neg.f64 z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z))) (.f64 (.f64 y x) (*.f64 y (neg.f64 z))))))
(/.f64 (+.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 2 binary64)) (-.f64 (.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (.f64 y z))) (.f64 (.f64 y (-.f64 x z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 y (neg.f64 z)) (.f64 y (neg.f64 z)))) (fma.f64 y x (neg.f64 (*.f64 y (neg.f64 z)))))
(/.f64 (-.f64 (pow.f64 (.f64 y (-.f64 x z)) #s(literal 2 binary64)) (.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (.f64 y z)))) (-.f64 (.f64 y (-.f64 x z)) (fma.f64 y (neg.f64 z) (.f64 y z))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 y (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (+.f64 x z))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) y) (fma.f64 z (+.f64 x z) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y) (+.f64 x z))
(pow.f64 (*.f64 y (-.f64 x z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 x z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 x z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) (-.f64 x z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 x z)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) y) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) y))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (exp.f64 (*.f64 y (neg.f64 z)))))
(log.f64 (.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y (-.f64 x z)))) (exp.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (neg.f64 z) (.f64 y z))) (pow.f64 (exp.f64 y) (-.f64 x z))))
(log.f64 (.f64 (exp.f64 (fma.f64 y (neg.f64 z) (.f64 y z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y (-.f64 x z))))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) y)) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 z) y)) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x)))))
(log.f64 (.f64 (exp.f64 (.f64 y (neg.f64 z))) (pow.f64 (exp.f64 x) y)))
(log.f64 (.f64 (exp.f64 (.f64 y (neg.f64 z))) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x) y) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 x z)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 x z) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 x z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 x z))))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (log.f64 (*.f64 y (-.f64 x z))))
(exp.f64 (.f64 (log.f64 (.f64 y (-.f64 x z))) #s(literal 1 binary64)))
(fma.f64 y x (*.f64 y (neg.f64 z)))
(fma.f64 y x (.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 y x (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 y x (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (.f64 y z)))))
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(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (.f64 y (-.f64 x z))) (fma.f64 y (neg.f64 z) (*.f64 y z)))
(fma.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (.f64 y (-.f64 x z))) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (.f64 y z)))
(fma.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (.f64 y (-.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (*.f64 y z)))
(fma.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (.f64 y (-.f64 x z))) (.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 y (-.f64 x z))) (sqrt.f64 (.f64 y (-.f64 x z))) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (-.f64 x z)) y) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (-.f64 x z)) y) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (-.f64 x z)) y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (-.f64 x z)) y) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 x z)) (.f64 (sqrt.f64 (-.f64 x z)) y) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (sqrt.f64 (.f64 y z)) (neg.f64 (sqrt.f64 (.f64 y z))) (*.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (*.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y x)) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (.f64 y z)))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) (-.f64 x z)) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 y (neg.f64 z)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y z) (.f64 y (+.f64 x z)) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 x z))) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 x z))) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 x z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 x z))) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 y (+.f64 x z))) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (neg.f64 y) z (*.f64 y x))
(fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (*.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (.f64 y (neg.f64 z))) (cbrt.f64 (.f64 y (neg.f64 z)))) (cbrt.f64 (.f64 y (neg.f64 z))) (*.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (fma.f64 y (neg.f64 z) (.f64 y z))) (cbrt.f64 (fma.f64 y (neg.f64 z) (.f64 y z)))) (cbrt.f64 (fma.f64 y (neg.f64 z) (.f64 y z))) (*.f64 y (-.f64 x z)))
(fma.f64 (sqrt.f64 (.f64 y (neg.f64 z))) (sqrt.f64 (.f64 y (neg.f64 z))) (*.f64 y x))
(fma.f64 (sqrt.f64 (fma.f64 y (neg.f64 z) (.f64 y z))) (sqrt.f64 (fma.f64 y (neg.f64 z) (.f64 y z))) (*.f64 y (-.f64 x z)))
(fma.f64 #s(literal -1 binary64) (.f64 y z) (.f64 y x))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y z))) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y z))) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y z))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y z))) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (.f64 y z))) (-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 y z))) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (.f64 y z)) (*.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z)) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z)) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z)) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 (-.f64 x z)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 x z)) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (.f64 y (sqrt.f64 (-.f64 x z))) (sqrt.f64 (-.f64 x z)) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 x z) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (neg.f64 z) (.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 (.f64 y (neg.f64 z)) #s(literal 1 binary64) (*.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 (neg.f64 (cbrt.f64 (.f64 y z))) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (.f64 y z)))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (.f64 (fma.f64 y (neg.f64 z) (*.f64 y z)) #s(literal 1 binary64)))
(fma.f64 (.f64 (-.f64 x z) (sqrt.f64 y)) (sqrt.f64 y) (+.f64 (fma.f64 y (neg.f64 z) (.f64 y z)) (fma.f64 y (neg.f64 z) (*.f64 y z))))
(fma.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) z (.f64 y x))
(fma.f64 (.f64 (neg.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 y x))
(fma.f64 (.f64 (neg.f64 y) (sqrt.f64 z)) (sqrt.f64 z) (.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (.f64 y (sqrt.f64 x)) (sqrt.f64 x) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 y (neg.f64 z)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (.f64 (log.f64 (.f64 y z)) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(+.f64 (.f64 #s(literal -1 binary64) (.f64 y z)) (*.f64 x y))
(*.f64 y (-.f64 x z))
(*.f64 x y)
(*.f64 y x)
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (neg.f64 (.f64 y (/.f64 z x)))))
(.f64 x (-.f64 y (.f64 y (/.f64 z x))))
(.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z x))))
(.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x))))
(.f64 x (+.f64 y (neg.f64 (.f64 y (/.f64 z x)))))
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(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (fma.f64 y (neg.f64 z) (fma.f64 y (neg.f64 z) (.f64 y z))))
(*.f64 y (-.f64 x z))
(fma.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y) (neg.f64 (-.f64 (.f64 y z) (fma.f64 y (neg.f64 z) (*.f64 y z)))))
(*.f64 y (-.f64 x z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y x)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 y x)
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 y x)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 y x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(*.f64 y x)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 y x)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 y x)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 y x)
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(*.f64 y x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 z) y))
(*.f64 y z)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (.f64 y z)) #s(literal 1 binary64)))
(*.f64 y z)

eval53.0ms (1.4%)

Compiler: Compiled 6423 to 812 computations (87.4% saved)

prune68.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	403	2	405
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	403	4	407

Accuracy

100.0%

Counts

407 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(-.f64 (.f64 x y) (.f64 y z))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	51.7%	(*.f64 y (neg.f64 z))
▶	56.4%	(*.f64 y x)

Compiler

Compiled 31 to 20 computations (35.5% saved)

localize45.0ms (1.2%)

Algorithm

2×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	0	(*.f64 y x)
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 y x)

Rules

38×	`fma-define`
9×	`sub-neg`
6×	`distribute-lft-in`
4×	`mul0-rgt`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	9	21
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z

Outputs
(*.f64 y (neg.f64 z))
y
(neg.f64 z)
z

Call 2

Inputs
(*.f64 y x)
y
x

Outputs
(*.f64 y x)
y
x

Results

19.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-mult: 5.0ms (74.6% of total)

ival-neg: 1.0ms (14.9% of total)

const: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (*.f64 y x)>
#<alt (neg.f64 z)>
#<alt (*.f64 y (neg.f64 z))>

Outputs
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 x y)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y z))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(* y (neg z))
0.0ms	z	@	0	(* y (neg z))
0.0ms	z	@	inf	(neg z)
0.0ms	y	@	inf	(* y (neg z))
0.0ms	y	@	-inf	(* y (neg z))

rewrite78.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

489×	`unpow-prod-down`
450×	`log1p-expm1-u`
450×	`expm1-log1p-u`
429×	`add-exp-log`
416×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	130	30
2	1555	30

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y x)))) (sqrt.f64 (log.f64 (.f64 y x))))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 z (log.f64 (E.f64)))
(*.f64 z (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) z)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cbrt.f64 z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 z)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 z)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y z)))) (sqrt.f64 (log.f64 (.f64 y z))))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y z))) #s(literal 2 binary64)))

simplify93.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

891×	`times-frac`
791×	`fma-neg`
407×	`fabs-mul`
361×	`fma-define`
336×	`prod-exp`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	232	2382
1	411	2377
2	1057	2371
3	5250	1987

Stop Event

1×	node limit

Counts

153 → 113

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal -1 binary64) z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(.f64 #s(literal -1 binary64) (.f64 y z))
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y x)))) (sqrt.f64 (log.f64 (.f64 y x))))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) y))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 z (log.f64 (E.f64)))
(*.f64 z (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) z)
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cbrt.f64 z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 z)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 z)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 y z)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y z)))) (sqrt.f64 (log.f64 (.f64 y z))))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y z))) #s(literal 2 binary64)))

Outputs
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 x y)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(*.f64 x y)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) y))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 x y)
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 x y)
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x y)
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(*.f64 x y)
(pow.f64 (E.f64) (log.f64 (*.f64 y x)))
(*.f64 x y)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x y))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y x)))) (sqrt.f64 (log.f64 (.f64 y x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x y)))) (sqrt.f64 (log.f64 (.f64 x y))))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(*.f64 x y)
(log.f64 (pow.f64 (exp.f64 x) y))
(*.f64 x y)
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(*.f64 x y)
(expm1.f64 (log1p.f64 (*.f64 y x)))
(*.f64 x y)
(log1p.f64 (expm1.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 y x)))
(*.f64 x y)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y x))) #s(literal 3 binary64)))
(*.f64 x y)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(*.f64 x y)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 2 binary64)))
(*.f64 x y)
(+.f64 #s(literal 0 binary64) z)
(neg.f64 z)
z
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(neg.f64 z)
z
(-.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(neg.f64 z)
z
(*.f64 z #s(literal 1 binary64))
(neg.f64 z)
z
(*.f64 z #s(literal -1 binary64))
(neg.f64 z)
z
(*.f64 z (log.f64 (E.f64)))
(neg.f64 z)
z
(*.f64 z (log.f64 (exp.f64 #s(literal -1 binary64))))
(neg.f64 z)
z
(*.f64 #s(literal 1 binary64) z)
(neg.f64 z)
z
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(neg.f64 z)
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(neg.f64 z)
z
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(neg.f64 z)
z
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(neg.f64 z)
z
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(neg.f64 z)
z
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
z
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
z
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
z
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(neg.f64 z)
z
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(neg.f64 z)
z
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) z)
(neg.f64 z)
z
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)
(neg.f64 z)
z
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 z))
(neg.f64 z)
z
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(neg.f64 z)
z
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))) (cbrt.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 z (cbrt.f64 z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 z)))
(.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 (.f64 z (cbrt.f64 z)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 z) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 z)) (cbrt.f64 (pow.f64 (cbrt.f64 z) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 z #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 z)))
(*.f64 (cbrt.f64 (pow.f64 z #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 z)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(.f64 (cbrt.f64 z) (cbrt.f64 (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (neg.f64 (pow.f64 z #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 z) (cbrt.f64 (pow.f64 z #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)
(neg.f64 z)
z
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) z)
(neg.f64 z)
z
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
z
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(neg.f64 z)
z
(pow.f64 z #s(literal 1 binary64))
(neg.f64 z)
z
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(neg.f64 z)
z
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(neg.f64 z)
z
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 z)
z
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(neg.f64 z)
z
(pow.f64 (E.f64) (log.f64 z))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 z)) #s(literal 2 binary64))) (cbrt.f64 (log.f64 z)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 z))) (sqrt.f64 (log.f64 z)))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(neg.f64 z)
z
(log.f64 (exp.f64 z))
(neg.f64 z)
z
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
(neg.f64 z)
z
(expm1.f64 (log1p.f64 z))
(neg.f64 z)
z
(log1p.f64 (expm1.f64 z))
(neg.f64 z)
z
(exp.f64 (log.f64 z))
(neg.f64 z)
z
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(neg.f64 z)
z
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(neg.f64 z)
z
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(neg.f64 z)
z
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(pow.f64 (E.f64) (log.f64 (*.f64 y z)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 y z))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 y z)))) (sqrt.f64 (log.f64 (.f64 y z))))
(neg.f64 (*.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(log.f64 (pow.f64 (exp.f64 z) y))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(expm1.f64 (log1p.f64 (*.f64 y z)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(log1p.f64 (expm1.f64 (*.f64 y z)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(exp.f64 (log.f64 (*.f64 y z)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y z))) #s(literal 3 binary64)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(*.f64 y (neg.f64 z))
(*.f64 y z)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y z))) #s(literal 2 binary64)))
(*.f64 y (neg.f64 z))
(*.f64 y z)

eval108.0ms (2.8%)

Compiler: Compiled 910 to 322 computations (64.6% saved)

prune21.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	113	4	117

Accuracy

100.0%

Counts

117 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(-.f64 (.f64 x y) (.f64 y z))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	51.7%	(*.f64 y (neg.f64 z))
✓	56.4%	(*.f64 y x)

Compiler

Compiled 68 to 35 computations (48.5% saved)

regimes9.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 y x)
(*.f64 y (neg.f64 z))
(*.f64 y (-.f64 x z))
(-.f64 (.f64 x y) (.f64 y z))
(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

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

Calls

4 calls:

3.0ms	x
2.0ms	y
2.0ms	z
2.0ms	(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))

Results

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

Compiler

Compiled 30 to 18 computations (40% saved)

regimes11.0ms (0.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
80.2%	3	`x`
69.6%	10	`y`
82.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

2 calls:

0.0ms	x
0.0ms	z

Results

Accuracy	Segments	Branch
56.4%	1	`x`
56.4%	1	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch71.0ms (1.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
51.0ms	9345983470277300.0	196422450590910980.0
17.0ms	-4.969353268868003e-21	-8.56175089457979e-26

Results

12.0ms	165×	0	valid
48.0ms	75×	1	valid

Compiler

Compiled 249 to 179 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

backward-pass: 37.0ms (74.1% of total)

ival-mult: 7.0ms (14% of total)

ival-sub: 4.0ms (8% of total)

ival-add: 2.0ms (4% of total)

const: 0.0ms (0% of total)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
3×	`neg-sub0`
3×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	96
1	39	96
2	48	96
3	54	96
4	57	96
5	58	96

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -5988969657808517/10889035741470030830827987437816582766592 binary64)) (*.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 58000000000000000 binary64)) (*.f64 y x) (*.f64 y (neg.f64 z))))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -5988969657808517/10889035741470030830827987437816582766592 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 58000000000000000 binary64)) (.f64 y x) (*.f64 y (neg.f64 z))))
(if (or (<=.f64 z #s(literal -5988969657808517/10889035741470030830827987437816582766592 binary64)) (not (<=.f64 z #s(literal 58000000000000000 binary64)))) (.f64 y (neg.f64 z)) (.f64 y x))
(if (or (<=.f64 z #s(literal -5988969657808517/10889035741470030830827987437816582766592 binary64)) (not (<=.f64 z #s(literal 58000000000000000 binary64)))) (.f64 (neg.f64 y) z) (.f64 y x))
(if (or (<=.f64 z #s(literal -5988969657808517/10889035741470030830827987437816582766592 binary64)) (not (<=.f64 z #s(literal 58000000000000000 binary64)))) (.f64 z (neg.f64 y)) (.f64 y x))
(*.f64 y x)

soundness424.0ms (11%)

Rules

661×	`fma-neg`
616×	`distribute-lft-in`
574×	`sub-neg`
557×	`unsub-neg`
391×	`distribute-lft-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	625	19306
1	1393	18777
2	3913	18208
0	48	662
1	183	367
2	641	264
3	2518	250
4	5638	250
5	7348	250

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 121 to 50 computations (58.7% saved)

preprocess38.0ms (1%)

Remove: (negabs y)
Compiler: Compiled 138 to 78 computations (43.5% saved)

Linear.Quaternion:$c/ from linear-1.19.1.3, D

analyze0.0ms (0%)

sample1.8s (46%)

preprocess111.0ms (2.9%)

explain119.0ms (3.1%)

eval0.0ms (0%)

prune2.0ms (0.1%)

localize94.0ms (2.4%)

series19.0ms (0.5%)

rewrite299.0ms (7.7%)

simplify415.0ms (10.7%)

eval53.0ms (1.4%)

prune68.0ms (1.8%)

localize45.0ms (1.2%)

series4.0ms (0.1%)

rewrite78.0ms (2%)

simplify93.0ms (2.4%)

eval108.0ms (2.8%)

prune21.0ms (0.6%)

regimes9.0ms (0.2%)

regimes11.0ms (0.3%)

regimes1.0ms (0%)

bsearch71.0ms (1.8%)

simplify5.0ms (0.1%)

soundness424.0ms (11%)

preprocess38.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47
0	12	69
1	22	60
2	39	60
3	60	60
4	96	60
5	148	60
6	259	60
7	427	60
8	619	60
9	698	60
10	712	60

Iter	Nodes	Cost
0	8	21
1	9	21
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33

Iter	Nodes	Cost
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47
0	12	69
1	22	60
2	39	60
3	60	60
4	96	60
5	148	60
6	259	60
7	427	60
8	619	60
9	698	60
10	712	60

Iter	Nodes	Cost
0	8	21
1	9	21
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33

Iter	Nodes	Cost
0	11	47
1	15	47
2	26	47
3	46	47
4	77	47
5	114	47
6	186	47
7	308	47
8	550	47
9	685	47
10	751	47
11	753	47
0	12	69
1	22	60
2	39	60
3	60	60
4	96	60
5	148	60
6	259	60
7	427	60
8	619	60
9	698	60
10	712	60

Iter	Nodes	Cost
0	8	21
1	9	21
0	10	33
1	17	33
2	28	33
3	39	33
4	50	33
5	67	33
6	90	33
7	107	33
8	113	33
9	125	33