Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

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 11 to 8 computations (27.3% saved)

Precisions

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

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

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

const: 0.0ms (0% of total)

sample1.2s (36.4%)

Results

916.0ms	8253×	0	valid
4.0ms	2×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 392.0ms

ival-add: 280.0ms (71.5% of total)

ival-mult: 97.0ms (24.8% of total)

const: 12.0ms (3.1% of total)

backward-pass: 4.0ms (1% of total)

Bogosity

preprocess246.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

2564×	`fma-neg`
818×	`unsub-neg`
747×	`fma-define`
332×	`distribute-lft-in`
320×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	328
1	120	312
2	449	308
3	1443	308
4	3917	308
5	5374	308
6	6275	308
7	6394	308
8	6404	308
9	6409	308
10	6484	308
11	6520	308
12	6520	308

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(sort x y)

explain60.0ms (1.8%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`z`
-	-	`(+.f64 x y)`
-	-	`#s(literal 1 binary64)`
-	-	`y`
-	-	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
-	-	`(+.f64 z #s(literal 1 binary64))`

Results

41.0ms

512×

256

valid

Compiler

Compiled 52 to 29 computations (44.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-add: 9.0ms (58.6% of total)

ival-mult: 6.0ms (39.1% of total)

const: 1.0ms (6.5% of total)

eval0.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Compiler

Compiled 10 to 7 computations (30% saved)

localize29.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

22.0ms

256×

256

valid

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

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

ival-add: 4.0ms (56.2% of total)

ival-mult: 2.0ms (28.1% of total)

const: 1.0ms (14.1% of total)

series5.0ms (0.2%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

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

rewrite280.0ms (8.3%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`log1p-expm1-u`
815×	`expm1-log1p-u`
676×	`prod-diff`
360×	`log-prod`
321×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	157	28
2	2220	28

Stop Event

1×	node limit

Counts

1 → 77

Calls

Call 1

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

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

simplify123.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

336×	`distribute-lft-neg-in`
303×	`*-commutative`
282×	`associate-+r+`
279×	`distribute-rgt-neg-in`
269×	`distribute-lft-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	244	4108
1	707	4084
2	2349	4058
3	5215	3830

Stop Event

1×	node limit

Counts

113 → 113

Calls

Call 1

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

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

eval41.0ms (1.2%)

Compiler: Compiled 1757 to 837 computations (52.4% saved)

prune21.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	107	6	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	6	114

Accuracy

100.0%

Counts

114 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
	96.5%	(+.f64 (.f64 (+.f64 z #s(literal 1 binary64)) y) (.f64 (+.f64 z #s(literal 1 binary64)) x))
▶	47.3%	(+.f64 y x)
▶	54.8%	(*.f64 z (+.f64 y x))
▶	54.4%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
▶	49.9%	(*.f64 x (+.f64 #s(literal 1 binary64) z))

Compiler

Compiled 112 to 74 computations (33.9% saved)

localize64.0ms (1.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 z (+.f64 y x))
✓	100.0%	(*.f64 y (+.f64 #s(literal 1 binary64) z))
✓	100.0%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
✓	100.0%	(*.f64 (+.f64 x y) z)

Results

44.0ms

256×

256

valid

Compiler

Compiled 62 to 21 computations (66.1% saved)

Precisions

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

ival-add: 10.0ms (51.4% of total)

ival-mult: 9.0ms (46.2% of total)

const: 1.0ms (5.1% of total)

series12.0ms (0.4%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite130.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

689×	`log1p-expm1-u`
689×	`expm1-log1p-u`
547×	`fma-define`
527×	`log-prod`
210×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	82
1	253	82
2	3289	80

Stop Event

1×	node limit

Counts

4 → 244

Calls

Call 1

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

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

simplify181.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

859×	`times-frac`
476×	`distribute-lft-in`
426×	`distribute-rgt-in`
385×	`associate-/l*`
351×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	407	9062
1	929	8910
2	2365	8888
3	7854	8888

Stop Event

1×	node limit

Counts

340 → 231

Calls

Call 1

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

Outputs
(*.f64 y z)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x z)
(*.f64 z x)
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) x)))))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x z)
(*.f64 z x)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
x
(+.f64 x (*.f64 x z))
(fma.f64 z x x)
(+.f64 x (*.f64 x z))
(fma.f64 z x x)
(+.f64 x (*.f64 x z))
(fma.f64 z x x)
(*.f64 x z)
(*.f64 z x)
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 z (+.f64 x (/.f64 x z)))
(*.f64 x z)
(*.f64 z x)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 x (/.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 x (/.f64 x z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 x z)))))
(*.f64 z (+.f64 x (/.f64 x z)))
y
(+.f64 y (*.f64 y z))
(fma.f64 y z y)
(+.f64 y (*.f64 y z))
(fma.f64 y z y)
(+.f64 y (*.f64 y z))
(fma.f64 y z y)
(*.f64 y z)
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 y z)))))
(*.f64 z (+.f64 y (/.f64 y z)))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 y x))
(*.f64 x z)
(*.f64 z x)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(*.f64 y z)
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
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(fma.f64 z x (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 z y (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 y z) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 #s(literal 1 binary64) (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) z) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) y) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) x) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) z) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) z) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) x) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 y z) #s(literal 1 binary64) (.f64 (*.f64 x z) #s(literal 1 binary64)))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (.f64 y z)) (cbrt.f64 (.f64 y z))) (cbrt.f64 (.f64 y z)) (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (cbrt.f64 (.f64 x z)) (cbrt.f64 (.f64 x z))) (cbrt.f64 (.f64 x z)) (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (sqrt.f64 (.f64 x z)) (sqrt.f64 (.f64 x z)) (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 y)) (.f64 (sqrt.f64 z) (sqrt.f64 y)) (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (sqrt.f64 y) (sqrt.f64 z)) (.f64 (sqrt.f64 y) (sqrt.f64 z)) (*.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 z)) (.f64 (sqrt.f64 x) (sqrt.f64 z)) (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 (sqrt.f64 z) (sqrt.f64 x)) (.f64 (sqrt.f64 z) (sqrt.f64 x)) (*.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 y) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z) (.f64 x z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 x (sqrt.f64 z)) (sqrt.f64 z) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y z))
(*.f64 z (+.f64 y x))
(fma.f64 (.f64 z (sqrt.f64 x)) (sqrt.f64 x) (.f64 y z))
(*.f64 z (+.f64 y x))

eval37.0ms (1.1%)

Compiler: Compiled 2876 to 1086 computations (62.2% saved)

prune43.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	227	4	231
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	230	7	237

Accuracy

100.0%

Counts

237 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(+.f64 (+.f64 x y) (+.f64 (.f64 y z) (.f64 x z)))
▶	54.4%	(+.f64 (*.f64 y z) y)
✓	47.3%	(+.f64 y x)
✓	54.8%	(*.f64 z (+.f64 y x))
✓	49.9%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
▶	24.0%	y
▶	25.6%	x

Compiler

Compiled 52 to 34 computations (34.6% saved)

localize38.0ms (1.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	96.9%	(+.f64 (.f64 y z) (.f64 x z))

Results

27.0ms

256×

256

valid

Compiler

Compiled 46 to 10 computations (78.3% saved)

Precisions

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

ival-add: 5.0ms (55% of total)

ival-mult: 4.0ms (44% of total)

const: 0.0ms (0% of total)

series7.0ms (0.2%)

Counts

1 → 36

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	z	@	-inf	(+ (* y z) (* x z))
1.0ms	x	@	inf	(+ (* y z) (* x z))
1.0ms	z	@	inf	(+ (* y z) (* x z))
1.0ms	z	@	0	(+ (* y z) (* x z))
0.0ms	y	@	0	(+ (* y z) (* x z))

rewrite87.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`unpow-prod-down`
679×	`log1p-expm1-u`
679×	`expm1-log1p-u`
366×	`log-prod`
344×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	140	22
2	1862	22

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

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

simplify115.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

667×	`times-frac`
453×	`fma-define`
321×	`exp-prod`
279×	`*-commutative`
273×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	4356
1	641	4203
2	1723	4153
3	7136	4122

Stop Event

1×	node limit

Counts

132 → 121

Calls

Call 1

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

Outputs
(*.f64 x z)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 y (+.f64 z (/.f64 (.f64 x z) y)))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 y z)
(*.f64 z y)
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(.f64 #s(literal -1 binary64) (.f64 y (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))))
(.f64 y (+.f64 z (.f64 x (/.f64 z y))))
(*.f64 y (fma.f64 x (/.f64 z y) z))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(.f64 #s(literal -1 binary64) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))))
(*.f64 z (+.f64 x y))
(*.f64 y z)
(*.f64 z y)
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(+.f64 (.f64 x z) (.f64 y z))
(*.f64 z (+.f64 x y))
(*.f64 x z)
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
(*.f64 x (fma.f64 z (/.f64 y x) z))
(.f64 x (+.f64 z (/.f64 (.f64 y z) x)))
(.f64 x (+.f64 z (.f64 y (/.f64 z x))))
(*.f64 x (fma.f64 y (/.f64 z x) z))
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(*.f64 z (+.f64 x y))
(fma.f64 x z (*.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 z x) #s(literal 1 binary64) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 y z) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (.f64 z x) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (cbrt.f64 (.f64 z x)) (pow.f64 (cbrt.f64 (.f64 z x)) #s(literal 2 binary64)) (*.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z x)) #s(literal 2 binary64)) (cbrt.f64 (.f64 z x)) (*.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (cbrt.f64 (.f64 y z)) (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (.f64 y z)) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (.f64 (cbrt.f64 y) z) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) z) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) y) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (.f64 (cbrt.f64 z) x) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 (.f64 z x)) (sqrt.f64 (.f64 z x)) (*.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 (.f64 y z)) (sqrt.f64 (.f64 y z)) (*.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) z) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) z) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) y) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) x) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 y (sqrt.f64 z)) (sqrt.f64 z) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 z (sqrt.f64 y)) (sqrt.f64 y) (.f64 z x))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 z (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 z (sqrt.f64 x)) (sqrt.f64 x) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z) (.f64 y z))
(*.f64 z (+.f64 x y))
(fma.f64 (.f64 x (sqrt.f64 z)) (sqrt.f64 z) (.f64 y z))
(*.f64 z (+.f64 x y))

eval20.0ms (0.6%)

Compiler: Compiled 2158 to 705 computations (67.3% saved)

prune26.0ms (0.8%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	4	4
Done	0	3	3
Total	121	7	128

Accuracy

100.0%

Counts

128 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(+.f64 (+.f64 x y) (+.f64 (.f64 y z) (.f64 x z)))
✓	54.4%	(+.f64 (*.f64 y z) y)
✓	47.3%	(+.f64 y x)
✓	54.8%	(*.f64 z (+.f64 y x))
✓	49.9%	(*.f64 x (+.f64 #s(literal 1 binary64) z))
✓	24.0%	y
✓	25.6%	x

Compiler

Compiled 118 to 63 computations (46.6% saved)

regimes23.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	y
4.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
4.0ms	z
4.0ms	(+.f64 x y)
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes19.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

6 calls:

4.0ms	y
4.0ms	(+.f64 x y)
3.0ms	z
3.0ms	x
3.0ms	(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))`
100.0%	1	`(+.f64 x y)`
100.0%	1	`(+.f64 z #s(literal 1 binary64))`

Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes20.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	z
7.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
86.4%	4	`x`
85.1%	2	`y`
98.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.3%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	z
4.0ms	y

Results

Accuracy	Segments	Branch
85.1%	2	`y`
79.7%	5	`z`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes12.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
71.2%	3	`z`
63.0%	2	`x`
64.6%	2	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
x
y
(+.f64 y x)

Outputs
(+.f64 y x)

Calls

3 calls:

2.0ms	y
2.0ms	x
2.0ms	z

Results

Accuracy	Segments	Branch
47.3%	1	`x`
47.3%	1	`y`
47.3%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.3%)

Counts

2 → 2

Calls

Call 1

Inputs
x
y

Outputs
x
y

Calls

3 calls:

3.0ms	z
3.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
40.7%	2	`x`
41.6%	2	`y`
30.4%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

0.0ms	y
0.0ms	x
0.0ms	z

Results

Accuracy	Segments	Branch
25.6%	1	`z`
25.6%	1	`x`
25.6%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch30.0ms (0.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1763553330078118e-7	326747.76867788966
14.0ms	-59267579104249.1	-0.00011001975032649785

Results

18.0ms

320×

valid

Compiler

Compiled 336 to 232 computations (31% saved)

Precisions

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

ival-add: 5.0ms (67.7% of total)

ival-mult: 2.0ms (27.1% of total)

const: 0.0ms (0% of total)

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

bsearch7.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.11035946263672e-126	1.966233611498021e-125

Results

4.0ms

80×

valid

Compiler

Compiled 106 to 82 computations (22.6% saved)

Precisions

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

ival-add: 1.0ms (62% of total)

ival-mult: 1.0ms (62% of total)

const: 0.0ms (0% of total)

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

bsearch28.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	1.1763553330078118e-7	326747.76867788966
13.0ms	-0.00011001975032649785	-2.1865795920090848e-11

Results

17.0ms

304×

valid

Compiler

Compiled 320 to 240 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (50.2% of total)

ival-add: 3.0ms (37.7% of total)

const: 0.0ms (0% of total)

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

bsearch8.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	5.908146578239672e-92	2.4351998385740754e-91

Results

5.0ms

96×

valid

Compiler

Compiled 76 to 60 computations (21.1% saved)

Precisions

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

ival-add: 1.0ms (53.1% of total)

ival-mult: 1.0ms (53.1% of total)

const: 0.0ms (0% of total)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative`
4×	`if-if-or-not`
3×	`1-exp`
3×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	284
1	63	284

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (+.f64 y x)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 z (+.f64 y x))))
(if (<=.f64 y #s(literal 7430920011128155/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(if (<=.f64 z #s(literal -4533471823554859/37778931862957161709568 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 2833419889721787/590295810358705651712 binary64)) (+.f64 y x) (.f64 x (+.f64 #s(literal 1 binary64) z))))
(+.f64 y x)
(if (<=.f64 y #s(literal 6238316235492995/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) x y)
x

Outputs
(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) z))
(+.f64 (+.f64 x y) (*.f64 z (+.f64 x y)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 z #s(literal -1 binary64)) (.f64 z (+.f64 y x)) (if (<=.f64 z #s(literal 1 binary64)) (+.f64 y x) (.f64 z (+.f64 y x))))
(if (or (<=.f64 z #s(literal -1 binary64)) (not (<=.f64 z #s(literal 1 binary64)))) (*.f64 z (+.f64 x y)) (+.f64 x y))
(if (<=.f64 y #s(literal 7430920011128155/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (.f64 y (+.f64 #s(literal 1 binary64) z)))
(if (<=.f64 y #s(literal 7430920011128155/381072821083495145432323880589986121307201921712032611188861933548019011086397170424842053596617672260721060927906081896416989218663120764928 binary64)) (.f64 x (+.f64 z #s(literal 1 binary64))) (.f64 y (+.f64 z #s(literal 1 binary64))))
(if (<=.f64 z #s(literal -4533471823554859/37778931862957161709568 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) z)) (if (<=.f64 z #s(literal 2833419889721787/590295810358705651712 binary64)) (+.f64 y x) (.f64 x (+.f64 #s(literal 1 binary64) z))))
(if (or (<=.f64 z #s(literal -4533471823554859/37778931862957161709568 binary64)) (not (<=.f64 z #s(literal 2833419889721787/590295810358705651712 binary64)))) (*.f64 x (+.f64 z #s(literal 1 binary64))) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 y #s(literal 6238316235492995/36695977855841144185773134324833391052745039826692497979801421430190766017415756929120296849762010984873984 binary64)) x y)
x

soundness295.0ms (8.8%)

Rules

815×	`log1p-expm1-u`
815×	`expm1-log1p-u`
676×	`prod-diff`
360×	`log-prod`
336×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	4108
1	707	4084
2	2349	4058
3	5215	3830
0	13	28
1	157	28
2	2220	28

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 136 to 65 computations (52.2% saved)

preprocess93.0ms (2.8%)

Remove: (sort x y)
Compiler: Compiled 294 to 150 computations (49% saved)

analyze0.0ms (0%)

sample1.2s (36.4%)

preprocess246.0ms (7.3%)

explain60.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize29.0ms (0.9%)

series5.0ms (0.2%)

rewrite280.0ms (8.3%)

simplify123.0ms (3.7%)

eval41.0ms (1.2%)

prune21.0ms (0.6%)

localize64.0ms (1.9%)

series12.0ms (0.4%)

rewrite130.0ms (3.9%)

simplify181.0ms (5.4%)

eval37.0ms (1.1%)

prune43.0ms (1.3%)

localize38.0ms (1.1%)

series7.0ms (0.2%)

rewrite87.0ms (2.6%)

simplify115.0ms (3.4%)

eval20.0ms (0.6%)

prune26.0ms (0.8%)

regimes23.0ms (0.7%)

regimes19.0ms (0.6%)

regimes20.0ms (0.6%)

regimes12.0ms (0.3%)

regimes12.0ms (0.4%)

regimes6.0ms (0.2%)

regimes8.0ms (0.3%)

regimes2.0ms (0.1%)

bsearch30.0ms (0.9%)

bsearch7.0ms (0.2%)

bsearch28.0ms (0.8%)

bsearch8.0ms (0.2%)

simplify4.0ms (0.1%)

soundness295.0ms (8.8%)

preprocess93.0ms (2.8%)

end0.0ms (0%)

Profiling