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

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions

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

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

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

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

const: 0.0ms (0% of total)

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

sample2.1s (46.8%)

Results

946.0ms	5704×	0	valid
577.0ms	2286×	1	valid
99.0ms	266×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 910.0ms

ival-mult: 574.0ms (63.1% of total)

ival-sub: 230.0ms (25.3% of total)

ival-add: 55.0ms (6% of total)

backward-pass: 43.0ms (4.7% of total)

const: 7.0ms (0.8% of total)

Bogosity

preprocess131.0ms (3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Symmetry

(negabs y)

explain237.0ms (5.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
119	-	-	`(+.f64 (-.f64 (.f64 x y) (.f64 y y)) (*.f64 y y))`
9	-	-	`(-.f64 (.f64 x y) (.f64 y y))`
7	-	-	`(-.f64 (+.f64 (-.f64 (.f64 x y) (.f64 y y)) (.f64 y y)) (.f64 y z))`
0	-	-	`x`
0	-	-	`(*.f64 y z)`
0	-	-	`(*.f64 y y)`
0	-	-	`y`
0	-	-	`(*.f64 x y)`
0	-	-	`z`

Results

93.0ms	148×	1	valid
27.0ms	290×	0	valid
21.0ms	74×	2	valid

Compiler

Compiled 116 to 29 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 18.0ms (50.4% of total)

ival-sub: 8.0ms (22.4% of total)

backward-pass: 6.0ms (16.8% of total)

ival-add: 4.0ms (11.2% of total)

const: 1.0ms (2.8% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.2%	(-.f64 (.f64 x y) (.f64 y z))
▶	100.0%	(*.f64 y (-.f64 x z))

Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

171×	`fma-define`
126×	`fma-neg`
32×	`distribute-rgt-in`
32×	`cancel-sign-sub-inv`
27×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Stop Event

1×

saturated

Calls

Call 1

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

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

localize111.0ms (2.5%)

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	97.5%	(-.f64 (.f64 x y) (.f64 y z))
✓	accuracy	100.0%	(-.f64 x z)
✓	accuracy	100.0%	(*.f64 y (-.f64 x z))

Results

103.0ms

256×

valid

Compiler

Compiled 31 to 9 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 86.0ms (96.4% of total)

ival-sub: 3.0ms (3.4% of total)

const: 0.0ms (0% of total)

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

series30.0ms (0.7%)

Counts

5 → 78

Calls

Call 1

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

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

Calls

36 calls:

Time	Variable		Point	Expression
17.0ms	x	@	inf	(- (* x y) (* y z))
1.0ms	y	@	-inf	(- (* x y) (* y z))
1.0ms	x	@	-inf	(* y (- x z))
1.0ms	y	@	inf	(- (* x y) (* y z))
1.0ms	y	@	0	(- (* x y) (* y z))

rewrite304.0ms (6.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

5 → 573

Calls

Call 1

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

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

simplify258.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

651 → 405

Calls

Call 1

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

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

eval48.0ms (1.1%)

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

prune64.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	402	3	405
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	402	5	407

Accuracy

100.0%

Counts

407 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	97.2%	(-.f64 (.f64 x y) (.f64 y z))
✓	100.0%	(*.f64 y (-.f64 x z))
▶	54.8%	(*.f64 y (neg.f64 z))
▶	53.4%	(*.f64 y x)

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	6464	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	cost-diff	0	(neg.f64 z)
✓	cost-diff	0	(*.f64 y (neg.f64 z))
✓	cost-diff	0	(*.f64 y x)

Rules

212×	`fma-define`
135×	`fma-neg`
34×	`cancel-sign-sub-inv`
27×	`sub-neg`
26×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	122
1	24	117
2	40	113
3	68	113
4	104	113
5	157	113
6	276	113
7	409	113
8	576	113
9	733	113
10	747	113

Stop Event

1×

saturated

Calls

Call 1

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

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

localize40.0ms (0.9%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	98.8%	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	accuracy	100.0%	(*.f64 y (neg.f64 z))
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 y x)

Results

30.0ms

256×

valid

Compiler

Compiled 33 to 8 computations (75.8% saved)

Precisions

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

ival-fma: 7.0ms (46.9% of total)

ival-mult: 6.0ms (40.2% of total)

ival-neg: 1.0ms (6.7% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite143.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

557×	`unpow-prod-down`
542×	`log1p-expm1-u`
542×	`expm1-log1p-u`
424×	`prod-diff`
326×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	69
1	151	52
2	1802	52

Stop Event

1×	node limit

Counts

4 → 321

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 y x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) x))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y x))) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 y) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))))
(cbrt.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y x)))
(log1p.f64 (expm1.f64 (*.f64 y x)))
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y x))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y x))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 y z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) y))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) y))))
(-.f64 #s(literal 0 binary64) (*.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y z))) #s(literal 1 binary64))
(pow.f64 (*.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 y z)) #s(literal 2 binary64))
(neg.f64 (*.f64 y z))
(sqrt.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 z) y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y z)))))
(cbrt.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 y z)))
(log1p.f64 (expm1.f64 (*.f64 y z)))
(exp.f64 (log.f64 (*.f64 y z)))
(exp.f64 (.f64 (log.f64 (.f64 y z)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y z))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 y z))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 y z))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y z)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) z)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 z)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 z))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 z))) (log.f64 (sqrt.f64 (exp.f64 z))))
(-.f64 #s(literal 0 binary64) z)
(-.f64 (exp.f64 (log1p.f64 z)) #s(literal 1 binary64))
(*.f64 z #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(*.f64 z (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 z (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) z)
(*.f64 (cbrt.f64 z) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64)) (pow.f64 (neg.f64 (cbrt.f64 z)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 z) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (neg.f64 (sqrt.f64 z)))
(*.f64 (sqrt.f64 z) (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) (sqrt.f64 z))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) z)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 z))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 z))
(.f64 (pow.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 z)) #s(literal 1 binary64)) (sqrt.f64 z))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) z)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 z)) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 z (cbrt.f64 z)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 z)))
(*.f64 (pow.f64 (pow.f64 z #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 z)))
(.f64 (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 z))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 2 binary64))) z)
(pow.f64 z #s(literal 1 binary64))
(pow.f64 (cbrt.f64 z) #s(literal 3 binary64))
(pow.f64 (pow.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 z) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 z #s(literal 2 binary64)))
(log.f64 (exp.f64 z))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 z)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 z))))
(cbrt.f64 (pow.f64 z #s(literal 3 binary64)))
z
(expm1.f64 (log1p.f64 z))
(log1p.f64 (expm1.f64 z))
(exp.f64 (log.f64 z))
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 z)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 z #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 z)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 y x) (.f64 y z))
(+.f64 (.f64 y z) (.f64 y x))
(+.f64 (.f64 y (+.f64 x z)) (fma.f64 z y (.f64 y z)))
(+.f64 (.f64 y (+.f64 x z)) (fma.f64 (neg.f64 y) z (.f64 y z)))
(+.f64 (.f64 y (+.f64 x z)) (fma.f64 #s(literal -1 binary64) (.f64 y z) (*.f64 y z)))
(+.f64 (.f64 y (+.f64 x z)) (fma.f64 (.f64 y z) #s(literal 1 binary64) (*.f64 y z)))
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(+.f64 (.f64 y (+.f64 x z)) (fma.f64 (neg.f64 (sqrt.f64 (.f64 y z))) (sqrt.f64 (.f64 y z)) (.f64 y z)))
(+.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x z)))
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(-.f64 (.f64 y x) (.f64 y z))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 x z)))) #s(literal 1 binary64))
(*.f64 y (+.f64 x z))
(*.f64 y (pow.f64 (+.f64 x z) #s(literal 1 binary64)))
(.f64 (.f64 y (+.f64 x z)) #s(literal 1 binary64))
(.f64 (.f64 y (+.f64 x z)) (log.f64 (exp.f64 #s(literal 1 binary64))))
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(/.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y z) #s(literal 2 binary64)) (.f64 (.f64 y x) (*.f64 y z)))))
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(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 y x))) (pow.f64 (exp.f64 z) y)))
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simplify157.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

412×	`fma-neg`
359×	`distribute-lft-out`
251×	`distribute-lft-neg-in`
247×	`prod-exp`
239×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	775	8508
1	1791	8394
2	4666	8297

Stop Event

1×	node limit

Counts

417 → 370

Calls

Call 1

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

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

eval57.0ms (1.3%)

Compiler: Compiled 8268 to 1033 computations (87.5% saved)

prune65.0ms (1.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	466	0	466
Fresh	0	0	0
Picked	0	3	3
Done	0	2	2
Total	466	5	471

Accuracy

100.0%

Counts

471 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 y x (*.f64 y (neg.f64 z)))
✓	97.2%	(-.f64 (.f64 x y) (.f64 y z))
✓	100.0%	(*.f64 y (-.f64 x z))
✓	54.8%	(*.f64 y (neg.f64 z))
✓	53.4%	(*.f64 y x)

Compiler

Compiled 85 to 42 computations (50.6% saved)

regimes12.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 30 to 18 computations (40% saved)

regimes5.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
74.8%	3	`x`
62.9%	2	`y`
79.5%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 y x)

Outputs
(*.f64 y x)

Calls

3 calls:

1.0ms	x
1.0ms	y
1.0ms	z

Results

Accuracy	Segments	Branch
53.4%	1	`y`
53.4%	1	`x`
53.4%	1	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch34.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.009555339725769e-29	1.2320440148155991e-27
17.0ms	-1.7192857840634963e-16	-6.361357442243232e-19

Results

13.0ms	96×	1	valid
10.0ms	144×	0	valid

Compiler

Compiled 249 to 179 computations (28.1% saved)

Precisions

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

ival-mult: 7.0ms (53.5% of total)

ival-sub: 3.0ms (22.9% of total)

ival-add: 2.0ms (15.3% of total)

backward-pass: 1.0ms (7.6% of total)

const: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 z #s(literal -8826904659509207/649037107316853453566312041152512 binary64)) (*.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) (*.f64 y x) (*.f64 y (neg.f64 z))))

(*.f64 y x)

Outputs
(*.f64 y (-.f64 x z))
(if (<=.f64 z #s(literal -8826904659509207/649037107316853453566312041152512 binary64)) (.f64 y (neg.f64 z)) (if (<=.f64 z #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)) (.f64 y x) (*.f64 y (neg.f64 z))))
(if (or (<=.f64 z #s(literal -8826904659509207/649037107316853453566312041152512 binary64)) (not (<=.f64 z #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)))) (.f64 y (neg.f64 z)) (.f64 y x))
(if (or (<=.f64 z #s(literal -8826904659509207/649037107316853453566312041152512 binary64)) (not (<=.f64 z #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)))) (.f64 (neg.f64 y) z) (.f64 y x))
(if (or (<=.f64 z #s(literal -8826904659509207/649037107316853453566312041152512 binary64)) (not (<=.f64 z #s(literal 3679622957757553/11150372599265311570767859136324180752990208 binary64)))) (.f64 z (neg.f64 y)) (.f64 y x))
(*.f64 y x)

soundness510.0ms (11.5%)

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	done
1×	node limit
1×	node limit

Compiler

Compiled 121 to 50 computations (58.7% saved)

preprocess36.0ms (0.8%)

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

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

analyze0.0ms (0%)

sample2.1s (46.8%)

preprocess131.0ms (3%)

explain237.0ms (5.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify82.0ms (1.8%)

localize111.0ms (2.5%)

series30.0ms (0.7%)

rewrite304.0ms (6.8%)

simplify258.0ms (5.8%)

eval48.0ms (1.1%)

prune64.0ms (1.4%)

simplify26.0ms (0.6%)

localize40.0ms (0.9%)

series6.0ms (0.1%)

rewrite143.0ms (3.2%)

simplify157.0ms (3.5%)

eval57.0ms (1.3%)

prune65.0ms (1.5%)

regimes12.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch34.0ms (0.8%)

simplify6.0ms (0.1%)

soundness510.0ms (11.5%)

preprocess36.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Iter	Nodes	Cost
0	15	122
1	24	117
2	40	113
3	68	113
4	104	113
5	157	113
6	276	113
7	409	113
8	576	113
9	733	113
10	747	113

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Iter	Nodes	Cost
0	15	122
1	24	117
2	40	113
3	68	113
4	104	113
5	157	113
6	276	113
7	409	113
8	576	113
9	733	113
10	747	113

Iter	Nodes	Cost
0	14	107
1	27	107
2	44	107
3	66	107
4	102	107
5	167	107
6	291	107
7	433	107
8	631	107
9	697	107
10	709	107

Iter	Nodes	Cost
0	15	122
1	24	117
2	40	113
3	68	113
4	104	113
5	157	113
6	276	113
7	409	113
8	576	113
9	733	113
10	747	113