Metrics for Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

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 13 to 9 computations (30.8% 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)

sample989.0ms (23.1%)

Results

512.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 264.0ms

ival-mult: 147.0ms (55.7% of total)

ival-sub: 61.0ms (23.1% of total)

ival-add: 42.0ms (15.9% of total)

const: 11.0ms (4.2% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess202.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1071×	`fma-neg`
570×	`fma-define`
209×	`distribute-rgt-in`
189×	`unsub-neg`
126×	`sub-neg`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	399
1	100	391
2	228	381
3	636	353
4	1606	329
5	3164	329
6	3531	329
7	3594	329
8	3602	329
9	3602	329
10	4062	329
11	4062	329

Stop Event

1×

saturated

Calls

Call 1

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

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

explain79.0ms (1.8%)

FPErrors

Click to see full error table

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

Results

48.0ms

512×

valid

Compiler

Compiled 68 to 38 computations (44.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 12.0ms (49.5% of total)

ival-sub: 8.0ms (33% of total)

ival-add: 3.0ms (12.4% of total)

const: 1.0ms (4.1% of total)

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

eval4.0ms (0.1%)

Compiler: Compiled 33 to 17 computations (48.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
▶	97.7%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Compiler

Compiled 22 to 14 computations (36.4% saved)

localize96.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x (+.f64 z y))
✓	cost-diff	0	(-.f64 x #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓	cost-diff	0	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓	accuracy	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	accuracy	98.1%	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Rules

380×	`fma-define`
335×	`fma-neg`
91×	`cancel-sign-sub-inv`
69×	`distribute-rgt-in`
53×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	168
1	41	168
2	63	164
3	95	164
4	134	164
5	204	164
6	363	164
7	791	164
8	1225	164
9	1518	164
10	1573	164
11	1576	164

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

33.0ms

256×

valid

Compiler

Compiled 46 to 18 computations (60.9% saved)

Precisions

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

ival-mult: 9.0ms (52.9% of total)

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

ival-add: 3.0ms (17.6% of total)

const: 1.0ms (5.9% of total)

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

series18.0ms (0.4%)

Counts

6 → 141

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(+ (* x y) (* (- x 1) z))
1.0ms	x	@	-inf	(+ (* x y) (* (- x 1) z))
1.0ms	x	@	inf	(+ (* x y) (* (- x 1) z))
1.0ms	x	@	0	(- (* x (+ z y)) z)
1.0ms	x	@	-inf	(- (* x (+ z y)) z)

rewrite456.0ms (10.7%)

Algorithm

1×	batch-egg-rewrite

Rules

897×	`log1p-expm1-u`
897×	`expm1-log1p-u`
429×	`fma-neg`
226×	`expm1-undefine`
226×	`log1p-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	128
1	262	128
2	3912	128

Stop Event

1×	node limit

Counts

6 → 183

Calls

Call 1

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

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

simplify148.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-neg`
393×	`distribute-lft-neg-in`
347×	`distribute-rgt-neg-in`
284×	`associate-+r+`
234×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	471	11224
1	1167	10777
2	3835	10228

Stop Event

1×	node limit

Counts

324 → 263

Calls

Call 1

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

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

eval219.0ms (5.1%)

Compiler: Compiled 3775 to 1741 computations (53.9% saved)

prune39.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	259	4	263
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	260	5	265

Accuracy

100.0%

Counts

265 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
▶	62.7%	(*.f64 z (-.f64 x #s(literal 1 binary64)))
▶	68.3%	(*.f64 x (+.f64 z y))
▶	42.8%	(*.f64 x y)
▶	33.8%	(neg.f64 z)

Compiler

Compiled 37 to 25 computations (32.4% saved)

localize76.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 z y)
	cost-diff	0	(*.f64 x (+.f64 z y))
	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(neg.f64 z)
	accuracy	100.0%	(*.f64 x (+.f64 z y))
	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(neg.f64 z)
✓	accuracy	100.0%	(*.f64 z (-.f64 x #s(literal 1 binary64)))

Rules

191×	`fma-neg`
125×	`fma-define`
37×	`cancel-sign-sub-inv`
35×	`unsub-neg`
30×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	118
1	36	118
2	47	118
3	58	118
4	72	118
5	95	118
6	145	118
7	258	118
8	382	118
9	576	118
10	871	118
11	922	118
12	923	118

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

29.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-mult: 6.0ms (46.8% of total)

ival-sub: 3.0ms (23.4% of total)

ival-neg: 2.0ms (15.6% of total)

ival-add: 1.0ms (7.8% of total)

const: 1.0ms (7.8% of total)

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

series10.0ms (0.2%)

Counts

3 → 48

Calls

Call 1

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

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

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(+ z y)
1.0ms	y	@	-inf	(+ z y)
0.0ms	z	@	inf	(neg z)
0.0ms	z	@	-inf	(+ z y)
0.0ms	y	@	inf	(+ z y)

rewrite95.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log1p-expm1-u`
758×	`expm1-log1p-u`
639×	`prod-diff`
356×	`log-prod`
253×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	175	36
2	2322	35

Stop Event

1×	node limit

Counts

3 → 122

Calls

Call 1

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

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

simplify115.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

448×	`distribute-lft-in`
407×	`distribute-rgt-in`
325×	`associate-/l*`
300×	`*-commutative`
280×	`div-sub`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	277	2692
1	545	2656
2	1831	2656
3	5839	2656

Stop Event

1×	node limit

Counts

170 → 148

Calls

Call 1

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

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

eval75.0ms (1.8%)

Compiler: Compiled 1933 to 919 computations (52.5% saved)

prune118.0ms (2.8%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	203	6	209

Accuracy

100.0%

Counts

209 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	62.7%	(*.f64 z (-.f64 x #s(literal 1 binary64)))
▶	31.5%	(*.f64 z x)
✓	68.3%	(*.f64 x (+.f64 z y))
✓	42.8%	(*.f64 x y)
✓	33.8%	(neg.f64 z)

Compiler

Compiled 43 to 29 computations (32.6% saved)

localize20.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	9	21

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 z x)
z
x

Outputs
(*.f64 z x)
z
x

Results

10.0ms

256×

valid

Compiler

Compiled 9 to 5 computations (44.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (78.3% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0%)

Counts

1 → 24

Calls

Call 1

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

Outputs
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>
#<alt (*.f64 x z)>

Calls

6 calls:

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

rewrite155.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`associate-r`
437×	`associate-l`
251×	`log1p-expm1-u`
251×	`expm1-log1p-u`
247×	`unpow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	65	13
2	706	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 z x)

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

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

663×	`cancel-sign-sub-inv`
433×	`sub-neg`
429×	`times-frac`
381×	`prod-exp`
310×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	877
1	160	859
2	460	845
3	2198	845
4	4680	845

Stop Event

1×	node limit

Counts

49 → 35

Calls

Call 1

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

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

eval5.0ms (0.1%)

Compiler: Compiled 372 to 187 computations (49.7% saved)

prune8.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	35	6	41

Accuracy

100.0%

Counts

41 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x (+.f64 z y)) z)
✓	62.7%	(*.f64 z (-.f64 x #s(literal 1 binary64)))
✓	31.5%	(*.f64 z x)
✓	68.3%	(*.f64 x (+.f64 z y))
✓	42.8%	(*.f64 x y)
✓	33.8%	(neg.f64 z)

Compiler

Compiled 80 to 45 computations (43.8% saved)

regimes17.0ms (0.4%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	y
3.0ms	x
3.0ms	z
2.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x #s(literal 1 binary64)) z))

Results

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes69.0ms (1.6%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

3 calls:

54.0ms	y
7.0ms	x
5.0ms	z

Results

Accuracy	Segments	Branch
87.4%	3	`x`
81.5%	3	`y`
83.0%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
87.4%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes33.0ms (0.8%)

Counts

3 → 8

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	x
8.0ms	y
7.0ms	z

Results

Accuracy	Segments	Branch
64.0%	8	`y`
64.4%	6	`z`
70.0%	8	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0.1%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.2%	3	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 z)

Outputs
(neg.f64 z)

Calls

3 calls:

1.0ms	x
1.0ms	z
0.0ms	y

Results

Accuracy	Segments	Branch
33.8%	1	`y`
33.8%	1	`z`
33.8%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch32.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	4.2154384973938873e-70	1.0979582747611826e-68
16.0ms	-8.014312906448545e-28	-7.48367753851955e-49

Results

20.0ms

288×

valid

Compiler

Compiled 342 to 247 computations (27.8% saved)

Precisions

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

ival-mult: 8.0ms (70% of total)

ival-sub: 2.0ms (17.5% of total)

ival-add: 1.0ms (8.8% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.2154384973938873e-70	1.0979582747611826e-68
17.0ms	-8.014312906448545e-28	-7.48367753851955e-49

Results

18.0ms

288×

valid

Compiler

Compiled 288 to 211 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (61.8% of total)

ival-sub: 2.0ms (20.6% of total)

ival-add: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

bsearch254.0ms (5.9%)

Algorithm

7×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.010465510893861e+266	8.624595815090315e+268
11.0ms	1.2694327812778114e+182	8.145530640311831e+185
92.0ms	1.78861656327557e+86	1.1360642477524882e+95
16.0ms	7.673237903474786e+20	2.5154139752690655e+33
14.0ms	3.0881411087332363e-89	6.278725205233148e-74
17.0ms	-8.014312906448545e-28	-7.48367753851955e-49
84.0ms	-2.3507910879284197e+58	-3.3546453952768135e+57

Results

215.0ms

976×

valid

Compiler

Compiled 851 to 623 computations (26.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 16.0ms (52.3% of total)

ival-sub: 8.0ms (26.2% of total)

ival-add: 5.0ms (16.4% of total)

const: 1.0ms (3.3% of total)

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

bsearch82.0ms (1.9%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.0881411087332363e-89	6.278725205233148e-74
18.0ms	-8.014312906448545e-28	-7.48367753851955e-49

Results

22.0ms

336×

valid

Compiler

Compiled 291 to 223 computations (23.4% saved)

Precisions

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

ival-mult: 7.0ms (61.4% of total)

ival-sub: 2.0ms (17.6% of total)

ival-add: 2.0ms (17.6% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`if-if-or-not`
8×	`not-or`
7×	`*-commutative`
6×	`unsub-neg`
6×	`if-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	61	401
1	91	395
2	100	389
3	112	385
4	123	385
5	138	385
6	139	385
7	140	385

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(if (<=.f64 x #s(literal -3666615307735769/1496577676626844588240573268701473812127674924007424 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 4079604673674031/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -6422614617176819/356811923176489970264571492362373784095686656 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1311301502252367/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (<=.f64 x #s(literal -22000000000000000715178082815139512679129088599460665098240 binary64)) (.f64 z x) (if (<=.f64 x #s(literal -6284457040522883/2923003274661805836407369665432566039311865085952 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1750577792162449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 3299999999999999796458815488 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64)) (.f64 z x) (if (<=.f64 x #s(literal 4200000000000000035158383103054926990379690289465339448025533952947377218137958270011893270212426404086185753529924764226298741971135833891038066233257696288103993236602577745635966976 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2600000000000000022583877159936466849421656846678824921853218090112667600676195154799920268769151901344297486458601205268381573419259286284717663744838557645869202128000871464033699944243558983224851043892343894898643358029850413653540865604746492652049148260086972416 binary64)) (.f64 z x) (*.f64 x y))))))))
(if (<=.f64 x #s(literal -3882113724160211/11417981541647679048466287755595961091061972992 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7638884911254323/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (neg.f64 z) (.f64 x y)))
(neg.f64 z)

Outputs
(-.f64 (*.f64 x (+.f64 z y)) z)
(if (<=.f64 x #s(literal -3666615307735769/1496577676626844588240573268701473812127674924007424 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 4079604673674031/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)) (.f64 z (-.f64 x #s(literal 1 binary64))) (*.f64 x (+.f64 z y))))
(if (or (<=.f64 x #s(literal -3666615307735769/1496577676626844588240573268701473812127674924007424 binary64)) (not (<=.f64 x #s(literal 4079604673674031/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)))) (.f64 x (+.f64 z y)) (.f64 z (-.f64 x #s(literal 1 binary64))))
(if (or (<=.f64 x #s(literal -3666615307735769/1496577676626844588240573268701473812127674924007424 binary64)) (not (<=.f64 x #s(literal 4079604673674031/1942668892225729070919461906823518906642406839052139521251812409738904285205208498176 binary64)))) (.f64 x (+.f64 z y)) (.f64 z (+.f64 x #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -6422614617176819/356811923176489970264571492362373784095686656 binary64)) (.f64 x (+.f64 z y)) (if (<=.f64 x #s(literal 1311301502252367/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)) (neg.f64 z) (.f64 x (+.f64 z y))))
(if (or (<=.f64 x #s(literal -6422614617176819/356811923176489970264571492362373784095686656 binary64)) (not (<=.f64 x #s(literal 1311301502252367/121416805764108066932466369176469931665150427440758720078238275608681517825325531136 binary64)))) (*.f64 x (+.f64 z y)) (neg.f64 z))
(if (<=.f64 x #s(literal -22000000000000000715178082815139512679129088599460665098240 binary64)) (.f64 z x) (if (<=.f64 x #s(literal -6284457040522883/2923003274661805836407369665432566039311865085952 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1750577792162449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 3299999999999999796458815488 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64)) (.f64 z x) (if (<=.f64 x #s(literal 4200000000000000035158383103054926990379690289465339448025533952947377218137958270011893270212426404086185753529924764226298741971135833891038066233257696288103993236602577745635966976 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2600000000000000022583877159936466849421656846678824921853218090112667600676195154799920268769151901344297486458601205268381573419259286284717663744838557645869202128000871464033699944243558983224851043892343894898643358029850413653540865604746492652049148260086972416 binary64)) (.f64 z x) (*.f64 x y))))))))
(if (<=.f64 x #s(literal -22000000000000000715178082815139512679129088599460665098240 binary64)) (.f64 x z) (if (<=.f64 x #s(literal -6284457040522883/2923003274661805836407369665432566039311865085952 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1750577792162449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 3299999999999999796458815488 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64)) (.f64 x z) (if (or (<=.f64 x #s(literal 4200000000000000035158383103054926990379690289465339448025533952947377218137958270011893270212426404086185753529924764226298741971135833891038066233257696288103993236602577745635966976 binary64)) (not (<=.f64 x #s(literal 2600000000000000022583877159936466849421656846678824921853218090112667600676195154799920268769151901344297486458601205268381573419259286284717663744838557645869202128000871464033699944243558983224851043892343894898643358029850413653540865604746492652049148260086972416 binary64)))) (.f64 x y) (.f64 x z)))))))
(if (<=.f64 x #s(literal -22000000000000000715178082815139512679129088599460665098240 binary64)) (.f64 x z) (if (<=.f64 x #s(literal -6284457040522883/2923003274661805836407369665432566039311865085952 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1750577792162449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (neg.f64 z) (if (<=.f64 x #s(literal 3299999999999999796458815488 binary64)) (.f64 x y) (if (or (<=.f64 x #s(literal 2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64)) (not (or (<=.f64 x #s(literal 4200000000000000035158383103054926990379690289465339448025533952947377218137958270011893270212426404086185753529924764226298741971135833891038066233257696288103993236602577745635966976 binary64)) (not (<=.f64 x #s(literal 2600000000000000022583877159936466849421656846678824921853218090112667600676195154799920268769151901344297486458601205268381573419259286284717663744838557645869202128000871464033699944243558983224851043892343894898643358029850413653540865604746492652049148260086972416 binary64)))))) (.f64 x z) (*.f64 x y))))))
(if (<=.f64 x #s(literal -22000000000000000715178082815139512679129088599460665098240 binary64)) (.f64 x z) (if (<=.f64 x #s(literal -6284457040522883/2923003274661805836407369665432566039311865085952 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1750577792162449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (neg.f64 z) (if (or (<=.f64 x #s(literal 3299999999999999796458815488 binary64)) (not (or (<=.f64 x #s(literal 2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64)) (not (or (<=.f64 x #s(literal 4200000000000000035158383103054926990379690289465339448025533952947377218137958270011893270212426404086185753529924764226298741971135833891038066233257696288103993236602577745635966976 binary64)) (not (<=.f64 x #s(literal 2600000000000000022583877159936466849421656846678824921853218090112667600676195154799920268769151901344297486458601205268381573419259286284717663744838557645869202128000871464033699944243558983224851043892343894898643358029850413653540865604746492652049148260086972416 binary64)))))))) (.f64 x y) (.f64 x z)))))
(if (<=.f64 x #s(literal -22000000000000000715178082815139512679129088599460665098240 binary64)) (.f64 x z) (if (<=.f64 x #s(literal -6284457040522883/2923003274661805836407369665432566039311865085952 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1750577792162449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (neg.f64 z) (if (or (<=.f64 x #s(literal 3299999999999999796458815488 binary64)) (not (or (<=.f64 x #s(literal 2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64)) (and (not (<=.f64 x #s(literal 4200000000000000035158383103054926990379690289465339448025533952947377218137958270011893270212426404086185753529924764226298741971135833891038066233257696288103993236602577745635966976 binary64))) (<=.f64 x #s(literal 2600000000000000022583877159936466849421656846678824921853218090112667600676195154799920268769151901344297486458601205268381573419259286284717663744838557645869202128000871464033699944243558983224851043892343894898643358029850413653540865604746492652049148260086972416 binary64)))))) (.f64 x y) (.f64 x z)))))
(if (<=.f64 x #s(literal -22000000000000000715178082815139512679129088599460665098240 binary64)) (.f64 x z) (if (<=.f64 x #s(literal -6284457040522883/2923003274661805836407369665432566039311865085952 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 1750577792162449/31828687130226345097944463881396533766429193651030253916189694521162207808802136034115584 binary64)) (neg.f64 z) (if (or (<=.f64 x #s(literal 3299999999999999796458815488 binary64)) (and (not (<=.f64 x #s(literal 2899999999999999793966147684496835442161913622834583383668048284658493470477457769365504 binary64))) (or (<=.f64 x #s(literal 4200000000000000035158383103054926990379690289465339448025533952947377218137958270011893270212426404086185753529924764226298741971135833891038066233257696288103993236602577745635966976 binary64)) (not (<=.f64 x #s(literal 2600000000000000022583877159936466849421656846678824921853218090112667600676195154799920268769151901344297486458601205268381573419259286284717663744838557645869202128000871464033699944243558983224851043892343894898643358029850413653540865604746492652049148260086972416 binary64)))))) (.f64 x y) (.f64 x z)))))
(if (<=.f64 x #s(literal -3882113724160211/11417981541647679048466287755595961091061972992 binary64)) (.f64 x y) (if (<=.f64 x #s(literal 7638884911254323/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)) (neg.f64 z) (.f64 x y)))
(if (or (<=.f64 x #s(literal -3882113724160211/11417981541647679048466287755595961091061972992 binary64)) (not (<=.f64 x #s(literal 7638884911254323/127314748520905380391777855525586135065716774604121015664758778084648831235208544136462336 binary64)))) (*.f64 x y) (neg.f64 z))
(neg.f64 z)

soundness689.0ms (16.1%)

Rules

1071×	`fma-neg`
696×	`fma-neg`
570×	`fma-define`
448×	`distribute-lft-in`
407×	`distribute-rgt-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	277	2692
1	545	2656
2	1831	2656
3	5839	2656
0	471	11224
1	1167	10777
2	3835	10228
0	40	399
1	100	391
2	228	381
3	636	353
4	1606	329
5	3164	329
6	3531	329
7	3594	329
8	3602	329
9	3602	329
10	4062	329
11	4062	329

Stop Event

1×	done
1×	saturated
1×	node limit
1×	node limit

Compiler

Compiled 234 to 112 computations (52.1% saved)

preprocess40.0ms (0.9%)

Compiler: Compiled 234 to 128 computations (45.3% saved)

Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

analyze0.0ms (0%)

sample989.0ms (23.1%)

preprocess202.0ms (4.7%)

explain79.0ms (1.8%)

eval4.0ms (0.1%)

prune1.0ms (0%)

localize96.0ms (2.2%)

series18.0ms (0.4%)

rewrite456.0ms (10.7%)

simplify148.0ms (3.5%)

eval219.0ms (5.1%)

prune39.0ms (0.9%)

localize76.0ms (1.8%)

series10.0ms (0.2%)

rewrite95.0ms (2.2%)

simplify115.0ms (2.7%)

eval75.0ms (1.8%)

prune118.0ms (2.8%)

localize20.0ms (0.5%)

series2.0ms (0%)

rewrite155.0ms (3.6%)

simplify71.0ms (1.7%)

eval5.0ms (0.1%)

prune8.0ms (0.2%)

regimes17.0ms (0.4%)

regimes69.0ms (1.6%)

regimes5.0ms (0.1%)

regimes33.0ms (0.8%)

regimes3.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch32.0ms (0.7%)

bsearch30.0ms (0.7%)

bsearch254.0ms (5.9%)

bsearch82.0ms (1.9%)

simplify14.0ms (0.3%)

soundness689.0ms (16.1%)

preprocess40.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	17	118
1	36	118
2	47	118
3	58	118
4	72	118
5	95	118
6	145	118
7	258	118
8	382	118
9	576	118
10	871	118
11	922	118
12	923	118

Iter	Nodes	Cost
0	17	118
1	36	118
2	47	118
3	58	118
4	72	118
5	95	118
6	145	118
7	258	118
8	382	118
9	576	118
10	871	118
11	922	118
12	923	118

Iter	Nodes	Cost
0	17	118
1	36	118
2	47	118
3	58	118
4	72	118
5	95	118
6	145	118
7	258	118
8	382	118
9	576	118
10	871	118
11	922	118
12	923	118