Metrics for Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, A

analyze87.0ms (1.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
25%	25%	74.9%	0.1%	0%	0%	0%	6
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	7
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	8
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	9
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	10
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	11
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	12

Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-add: 10.0ms (37% of total)

ival-div: 9.0ms (33.3% of total)

ival-sub: 6.0ms (22.2% of total)

const: 1.0ms (3.7% of total)

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

sample1.1s (15.4%)

Results

757.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 368.0ms

ival-div: 234.0ms (63.6% of total)

ival-add: 74.0ms (20.1% of total)

ival-sub: 45.0ms (12.2% of total)

const: 12.0ms (3.3% of total)

backward-pass: 2.0ms (0.5% of total)

Bogosity

preprocess242.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1115×	`fma-neg`
368×	`times-frac`
295×	`fma-define`
253×	`div-sub`
206×	`unsub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	443
1	94	411
2	174	407
3	390	407
4	1214	407
5	2650	407
6	3856	407
7	4832	407
8	4990	407
9	5072	407
10	5132	407
11	5200	407
12	5200	407

Stop Event

1×

saturated

Calls

Call 1

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

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

explain72.0ms (1%)

FPErrors

Click to see full error table

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

Results

42.0ms

512×

valid

Compiler

Compiled 68 to 26 computations (61.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (49.5% of total)

ival-add: 5.0ms (30.9% of total)

ival-sub: 3.0ms (18.6% of total)

const: 1.0ms (6.2% of total)

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

244×	`fma-neg`
209×	`fma-define`
93×	`div-sub`
60×	`times-frac`
50×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	95
1	23	95
2	31	95
3	42	95
4	59	95
5	77	95
6	105	95
7	136	95
8	176	95
9	258	95
10	386	95
11	554	95
12	839	95
13	1106	95
14	1253	95
15	1330	95
16	1334	95
17	1346	95

Stop Event

1×

saturated

Calls

Call 1

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

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

localize28.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y z)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))

Results

20.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-div: 4.0ms (52.4% of total)

ival-add: 2.0ms (26.2% of total)

ival-sub: 1.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

series19.0ms (0.3%)

Counts

4 → 78

Calls

Call 1

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

Outputs
#<alt (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (+.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))>
#<alt x>
#<alt (+.f64 x (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x z)))) z)) (.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (+.f64 x (.f64 y (-.f64 (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x z)))) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 x z))) z))))) (*.f64 #s(literal -1 binary64) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y)) (/.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64))))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y)) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (pow.f64 z #s(literal 2 binary64)))) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 x z) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 x z) (/.f64 (.f64 z (-.f64 (.f64 x z) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 x z) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))))) y)) (.f64 z (-.f64 (.f64 x z) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))))) y)) (.f64 x z)) (.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))) y)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (.f64 z (-.f64 (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (-.f64 (+.f64 x (+.f64 y (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (-.f64 (+.f64 x (+.f64 y (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 x y)) z)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 x y)>
#<alt (+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))>
#<alt (+.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) z)) (.f64 y (+.f64 x y))) z))))>
#<alt (+.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) z) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)))) z)) (.f64 y (+.f64 x y))) z))))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt y>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y z))>
#<alt (/.f64 (-.f64 z y) z)>
#<alt (/.f64 (-.f64 z y) z)>
#<alt (/.f64 (-.f64 z y) z)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y z)))>

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	z	@	0	(/ (+ x y) (- 1 (/ y z)))
2.0ms	z	@	inf	(/ (+ x y) (- 1 (/ y z)))
1.0ms	y	@	inf	(/ (+ x y) (- 1 (/ y z)))
1.0ms	x	@	0	(/ (+ x y) (- 1 (/ y z)))
1.0ms	x	@	inf	(/ (+ x y) (- 1 (/ y z)))

rewrite230.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`log1p-expm1-u`
1040×	`expm1-log1p-u`
836×	`prod-diff`
85×	`add-cube-cbrt`
84×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	185	82
2	2731	82

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

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

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

simplify132.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

511×	`fma-neg`
457×	`distribute-lft-neg-in`
427×	`distribute-rgt-neg-in`
266×	`sub-neg`
215×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	8901
1	1228	7507
2	4679	7245

Stop Event

1×	node limit

Counts

215 → 257

Calls

Call 1

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

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

eval47.0ms (0.7%)

Compiler: Compiled 4581 to 923 computations (79.9% saved)

prune50.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	246	11	257
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	11	258

Accuracy

100.0%

Counts

258 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	91.0%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
▶	35.5%	(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
	67.7%	(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
▶	45.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
	48.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	54.3%	(+.f64 y x)
	44.4%	(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
	45.7%	(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
	43.8%	(.f64 z (.f64 #s(literal -1 binary64) (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (+.f64 y x) y))))
	34.4%	(neg.f64 z)
▶	36.3%	x

Compiler

Compiled 266 to 172 computations (35.3% saved)

simplify239.0ms (3.4%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(-.f64 (neg.f64 x) y)
✓	cost-diff	0	(*.f64 (-.f64 (neg.f64 x) y) z)
✓	cost-diff	64	(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
	cost-diff	-128	(/.f64 y z)
	cost-diff	-128	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	0	(+.f64 y x)
	cost-diff	0	(+.f64 x y)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
✓	cost-diff	128	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
✓	cost-diff	128	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))

Rules

1050×	`fma-neg`
696×	`fma-define`
621×	`associate-/r*`
602×	`div-sub`
354×	`distribute-lft-in`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	24	327
1	47	297
2	89	297
3	215	294
4	505	290
5	1254	290
6	2660	290
7	4793	290
8	5585	290
9	5980	290
10	6061	290
11	6093	290
12	6505	290
13	7292	290
14	7867	290

Stop Event

1×	node limit

Calls

Call 1

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

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

localize122.0ms (1.7%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (neg.f64 x) y)
✓	accuracy	100.0%	(neg.f64 x)
✓	accuracy	100.0%	(*.f64 (-.f64 (neg.f64 x) y) z)
✓	accuracy	78.7%	(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
	accuracy	100.0%	(/.f64 y z)
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	91.1%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	100.0%	(+.f64 y x)
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y))
✓	accuracy	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) z) y)
✓	accuracy	91.1%	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))

Results

101.0ms

256×

valid

Compiler

Compiled 84 to 18 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 9.0ms (41.7% of total)

ival-sub: 4.0ms (18.6% of total)

ival-mult: 4.0ms (18.6% of total)

ival-add: 3.0ms (13.9% of total)

ival-neg: 1.0ms (4.6% of total)

const: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Counts

9 → 240

Calls

Call 1

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

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

Calls

60 calls:

Time	Variable		Point	Expression
3.0ms	z	@	inf	(/ y (- 1 (/ y z)))
2.0ms	x	@	0	(/ (* (- (neg x) y) z) y)
1.0ms	z	@	0	(/ (* (- (neg x) y) z) y)
1.0ms	y	@	-inf	(/ (* (- (neg x) y) z) y)
1.0ms	y	@	0	(/ (* (- (neg x) y) z) y)

rewrite253.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1147×	`log1p-expm1-u`
359×	`expm1-log1p-u`
162×	`add-cube-cbrt`
160×	`add-exp-log`
159×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	196
1	420	180
2	5710	180

Stop Event

1×	node limit

Counts

9 → 329

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (sqrt.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 x y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 (+.f64 x y)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)))
(*.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 x y)) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 x y) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (/.f64 y z))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 y) z) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z)) (/.f64 (neg.f64 y) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 y) z) (/.f64 (neg.f64 y) z))) (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 y z))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 y) z)))
(exp.f64 (*.f64 (log1p.f64 (/.f64 (neg.f64 y) z)) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64))
(/.f64 y z)
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y)))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z)))
(/.f64 (/.f64 y (sqrt.f64 z)) (sqrt.f64 z))
(/.f64 (/.f64 y #s(literal 1 binary64)) z)
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 z))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 (neg.f64 y) z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(-.f64 y x)
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x y))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x y)))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x y)) (/.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 x y)))
(*.f64 (+.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(*.f64 (cbrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x y)))
(*.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(*.f64 (sqrt.f64 (+.f64 x y)) (sqrt.f64 (+.f64 x y)))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (-.f64 x y)))))
(.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 y (+.f64 x y)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 (+.f64 (sqrt.f64 y) (sqrt.f64 x)) (-.f64 (sqrt.f64 y) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (pow.f64 (+.f64 x y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (+.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 y (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (+.f64 x y)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64))) (-.f64 x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (-.f64 x y))))
(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 (exp.f64 (+.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x y))))
(log.f64 (/.f64 (exp.f64 y) (exp.f64 x)))
(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)))
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) y)
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y) x)
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x
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simplify189.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

727×	`times-frac`
573×	`associate-r`
416×	`fma-define`
300×	`distribute-rgt-in`
298×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	921	19101
1	2326	17307

Stop Event

1×	node limit

Counts

569 → 578

Calls

Call 1

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

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

eval212.0ms (3%)

Compiler: Compiled 10169 to 2036 computations (80% saved)

prune112.0ms (1.6%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	706	6	712
Fresh	1	5	6
Picked	1	4	5
Done	0	0	0
Total	708	15	723

Accuracy

100.0%

Counts

723 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.5%	(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
▶	67.7%	(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
	14.6%	(/.f64 (*.f64 (neg.f64 x) z) y)
▶	27.3%	(/.f64 y (/.f64 (neg.f64 y) z))
✓	45.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	48.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
▶	19.5%	(-.f64 y x)
✓	54.3%	(+.f64 y x)
	44.4%	(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))
	14.9%	(*.f64 (neg.f64 x) (/.f64 z y))
	45.7%	(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
	34.1%	(.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
	34.4%	(neg.f64 z)
▶	20.3%	y
✓	36.3%	x

Compiler

Compiled 257 to 169 computations (34.2% saved)

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 y z)
	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	0	(neg.f64 y)
✓	cost-diff	0	(/.f64 (neg.f64 y) z)
✓	cost-diff	256	(/.f64 y (/.f64 (neg.f64 y) z))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y z))
	cost-diff	0	(+.f64 y x)
✓	cost-diff	0	(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	0	(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))

Rules

679×	`times-frac`
610×	`fma-neg`
389×	`div-sub`
335×	`distribute-lft-in`
330×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	364
1	54	364
2	122	346
3	311	346
4	787	346
5	2899	346
6	4586	346

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 y x)
y
x
(+.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
z
(-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
#s(literal 2 binary64)
y
(-.f64 y x)
y
x
(/.f64 y (/.f64 (neg.f64 y) z))
y
(/.f64 (neg.f64 y) z)
(neg.f64 y)
z
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
x
(-.f64 #s(literal 1 binary64) (/.f64 y z))
#s(literal 1 binary64)
(/.f64 y z)
y
z

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

localize109.0ms (1.6%)

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 y z)
	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	97.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	100.0%	(/.f64 (neg.f64 y) z)
✓	accuracy	100.0%	(neg.f64 y)
✓	accuracy	81.4%	(/.f64 y (/.f64 (neg.f64 y) z))
✓	accuracy	100.0%	(-.f64 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y z))
✓	accuracy	99.9%	(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	99.7%	(pow.f64 (/.f64 y z) #s(literal 2 binary64))
✓	accuracy	68.2%	(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))

Results

85.0ms

256×

valid

Compiler

Compiled 97 to 19 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 9.0ms (39% of total)

ival-sub: 4.0ms (17.3% of total)

ival-add: 3.0ms (13% of total)

ival-pow: 3.0ms (13% of total)

ival-mult: 2.0ms (8.7% of total)

const: 1.0ms (4.3% of total)

ival-neg: 1.0ms (4.3% of total)

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

series35.0ms (0.5%)

Counts

9 → 216

Calls

Call 1

Inputs
#<alt (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))>
#<alt (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y z))>
#<alt (-.f64 y x)>
#<alt (/.f64 y (/.f64 (neg.f64 y) z))>
#<alt (/.f64 (neg.f64 y) z)>
#<alt (neg.f64 y)>
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))>
#<alt (pow.f64 (/.f64 y z) #s(literal 2 binary64))>

Outputs
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))>
#<alt (+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) y))) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (pow.f64 z #s(literal 3 binary64))) y))) y)))>
#<alt (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))))))>
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Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))
2.0ms	z	@	inf	(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))
1.0ms	x	@	inf	(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))
1.0ms	x	@	-inf	(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (pow (/ y z) 2)))
1.0ms	y	@	0	(/ x (- 1 (/ y z)))

rewrite198.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log1p-expm1-u`
189×	`add-cube-cbrt`
189×	`expm1-log1p-u`
187×	`add-exp-log`
186×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	234
1	412	198
2	6963	198

Stop Event

1×	node limit

Counts

9 → 396

Calls

Call 1

Inputs
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(+.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 y x)
(/.f64 y (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 y) z)
(neg.f64 y)
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))) #s(literal 1 binary64))
(*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 #s(literal 1 binary64) (.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (.f64 (+.f64 y x) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))))
(.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(.f64 (.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))))
(.f64 (sqrt.f64 (+.f64 y x)) (.f64 (sqrt.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(.f64 (sqrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (.f64 (sqrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))))
(.f64 (.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(.f64 (exp.f64 (neg.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 y x))
(*.f64 (/.f64 (+.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (+.f64 y x) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (+.f64 y x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (+.f64 y x) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))) (/.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (cbrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(.f64 (/.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (/.f64 y z) #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(pow.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal -1 binary64) (/.f64 y z))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 y x)))) #s(literal 1 binary64)))
(+.f64 y (+.f64 x (*.f64 (+.f64 y x) (/.f64 y z))))
(+.f64 x (+.f64 y (*.f64 (+.f64 y x) (/.f64 y z))))
(+.f64 (+.f64 y x) (*.f64 (+.f64 y x) (/.f64 y z)))
(+.f64 (+.f64 y x) (.f64 (.f64 (+.f64 y x) (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 y x) (/.f64 y z)) (+.f64 y x))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) y) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x))
(+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) y))
(+.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(+.f64 (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (.f64 (-.f64 y x) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 y x)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (-.f64 y x)))
(/.f64 (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (fma.f64 y y (.f64 x (+.f64 y x))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (.f64 (+.f64 y x) (/.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (+.f64 y x) (/.f64 y z)) (.f64 (+.f64 y x) (/.f64 y z))) (.f64 (+.f64 y x) (.f64 (+.f64 y x) (/.f64 y z))))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (.f64 (.f64 (+.f64 y x) (/.f64 y z)) (.f64 (+.f64 y x) (/.f64 y z)))) (-.f64 (+.f64 y x) (.f64 (+.f64 y x) (/.f64 y z))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (.f64 x (+.f64 y x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 y x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64))) (+.f64 y x)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z))) (+.f64 y x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (+.f64 (log1p.f64 (/.f64 y z)) (log.f64 (+.f64 y x))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 (/.f64 y z)) (log.f64 (+.f64 y x))) #s(literal 1 binary64)))
(fma.f64 (+.f64 y x) #s(literal 1 binary64) (*.f64 (+.f64 y x) (/.f64 y z)))
(fma.f64 #s(literal 1 binary64) (+.f64 y x) (*.f64 (+.f64 y x) (/.f64 y z)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 y x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 y x)) (*.f64 (+.f64 y x) (/.f64 y z)))
(fma.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (+.f64 y x)) (*.f64 (+.f64 y x) (/.f64 y z)))
(-.f64 #s(literal 1 binary64) (/.f64 y z))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (/.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 1 binary64))
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(*.f64 (/.f64 (sqrt.f64 y) #s(literal 1 binary64)) (/.f64 (sqrt.f64 y) z))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (sqrt.f64 z)) (/.f64 (cbrt.f64 y) (sqrt.f64 z)))
(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y z))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
y
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 y z) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 y z) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(/.f64 y (*.f64 (/.f64 z y) z))
(/.f64 y (*.f64 (/.f64 z y) (neg.f64 z)))
(/.f64 y (*.f64 z (/.f64 z y)))
(/.f64 y (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 z y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (/.f64 y z) y) z)
(/.f64 (*.f64 (/.f64 y z) y) (neg.f64 z))
(/.f64 (*.f64 y (/.f64 y z)) z)
(/.f64 (*.f64 y (/.f64 y z)) (neg.f64 z))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))) #s(literal 1 binary64)))

simplify224.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

928×	`times-frac`
682×	`fma-define`
510×	`distribute-lft-in`
503×	`distribute-rgt-in`
268×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1117	24299
1	3033	22011

Stop Event

1×	node limit

Counts

612 → 680

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) z)
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) z)
(+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
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(*.f64 (/.f64 (sqrt.f64 y) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 (sqrt.f64 y) (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 z) #s(literal 2 binary64))) (/.f64 y (cbrt.f64 z)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (/.f64 y z)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(neg.f64 (/.f64 y z))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(fabs.f64 (/.f64 y z))
(log.f64 (exp.f64 (/.f64 y z)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 y z))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 y z)))
(log1p.f64 (expm1.f64 (/.f64 y z)))
(exp.f64 (log.f64 (/.f64 y z)))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) y)
(-.f64 #s(literal 0 binary64) y)
(-.f64 (exp.f64 (log1p.f64 y)) #s(literal 1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (cbrt.f64 y) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 y))
(*.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 y)))
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 y)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) y))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 2 binary64))) y)
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (cbrt.f64 y) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 y #s(literal 2 binary64)))
(log.f64 (exp.f64 y))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 y)))
(cbrt.f64 (pow.f64 y #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 y))
(log1p.f64 (expm1.f64 y))
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))) #s(literal 1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 y z))) x)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (/.f64 x (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) x) #s(literal -1 binary64))
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 y z))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z)))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 y z))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (/.f64 y z))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z)))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(*.f64 (/.f64 y z) (/.f64 y z))
(*.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) (.f64 (cbrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))
(.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) z)))
(.f64 (sqrt.f64 (/.f64 y z)) (.f64 (sqrt.f64 (/.f64 y z)) (/.f64 y z)))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 y z) (sqrt.f64 (/.f64 y z))) (sqrt.f64 (/.f64 y z)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)))
(.f64 (.f64 (/.f64 y z) y) (/.f64 #s(literal 1 binary64) z))
(.f64 (.f64 (/.f64 y z) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(/.f64 y (*.f64 (/.f64 z y) z))
(/.f64 y (*.f64 (/.f64 z y) (neg.f64 z)))
(/.f64 y (*.f64 z (/.f64 z y)))
(/.f64 y (*.f64 (neg.f64 z) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 z y)))
(/.f64 (/.f64 y z) (/.f64 z y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))
(/.f64 (*.f64 (/.f64 y z) y) z)
(/.f64 (*.f64 (/.f64 y z) y) (neg.f64 z))
(/.f64 (*.f64 y (/.f64 y z)) z)
(/.f64 (*.f64 y (/.f64 y z)) (neg.f64 z))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))) #s(literal 1 binary64)))

Outputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z)) x)
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z))) x)
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64)))) (/.f64 x z)))))
(fma.f64 y (+.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 z #s(literal 2 binary64))) (/.f64 x (pow.f64 z #s(literal 2 binary64))))) (/.f64 x z))) x)
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))
(fma.f64 #s(literal -1 binary64) z (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))))
(-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) y)) z)
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) z (.f64 #s(literal -1 binary64) (+.f64 (.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (neg.f64 (fma.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y)))) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (fma.f64 #s(literal -1 binary64) z (fma.f64 #s(literal -1 binary64) (.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y)) (neg.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 y #s(literal 3 binary64)))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (-.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) (pow.f64 y #s(literal 3 binary64)))))) (.f64 x (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) z) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) z)
(neg.f64 z)
(+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))
(fma.f64 #s(literal -1 binary64) z (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x z)) y))))
(-.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 x z) #s(literal -1 binary64) #s(literal -1 binary64)) y)) z)
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(.f64 #s(literal -1 binary64) (+.f64 z (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 x z) #s(literal -1 binary64))) (/.f64 (-.f64 (.f64 (neg.f64 x) (pow.f64 z #s(literal 2 binary64))) (pow.f64 z #s(literal 3 binary64))) y))) y)))
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(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 y (*.f64 (/.f64 z y) z))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 y (*.f64 (/.f64 z y) (neg.f64 z)))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(/.f64 y (*.f64 z (/.f64 z y)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 y (*.f64 (neg.f64 z) (/.f64 z y)))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z y) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) y))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (/.f64 y z) (/.f64 z y))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) (neg.f64 z)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 z (neg.f64 z)))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 (neg.f64 z) z))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 y z) y) z)
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 y z) y) (neg.f64 z))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(/.f64 (*.f64 y (/.f64 y z)) z)
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(/.f64 (*.f64 y (/.f64 y z)) (neg.f64 z))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 y z) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (/.f64 y z) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 y z))) #s(literal 1 binary64)))
(/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))

eval145.0ms (2.1%)

Compiler: Compiled 17365 to 2861 computations (83.5% saved)

prune191.0ms (2.7%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	907	4	911
Fresh	1	5	6
Picked	2	3	5
Done	0	4	4
Total	910	16	926

Accuracy

100.0%

Counts

926 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.5%	(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
▶	67.7%	(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
	14.6%	(/.f64 (*.f64 (neg.f64 x) z) y)
✓	27.3%	(/.f64 y (/.f64 (neg.f64 y) z))
✓	45.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	48.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	54.3%	(+.f64 y x)
▶	14.9%	(*.f64 (neg.f64 x) (/.f64 z y))
▶	45.7%	(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
	14.8%	(*.f64 z (/.f64 (neg.f64 x) y))
	34.1%	(.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
▶	34.4%	(neg.f64 z)
	3.0%	(neg.f64 x)
▶	3.4%	z
✓	20.3%	y
✓	36.3%	x

Compiler

Compiled 226 to 151 computations (33.2% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(neg.f64 y)
	cost-diff	0	(+.f64 y x)
✓	cost-diff	64	(/.f64 (+.f64 y x) (neg.f64 y))
✓	cost-diff	64	(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
✓	cost-diff	0	(/.f64 z y)
	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(*.f64 (neg.f64 x) (/.f64 z y))
✓	cost-diff	0	(neg.f64 z)
	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y z))
	cost-diff	0	(+.f64 y x)
	cost-diff	0	(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	cost-diff	512	(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))

Rules

698×	`unsub-neg`
604×	`fma-define`
532×	`fma-neg`
429×	`associate-/r*`
330×	`sub-neg`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	25	424
1	64	424
2	169	424
3	436	424
4	1137	424
5	2932	410
6	4266	374
7	7695	374

Stop Event

1×	node limit

Calls

Call 1

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

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

localize103.0ms (1.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(+.f64 y x)
	accuracy	100.0%	(neg.f64 y)
✓	accuracy	100.0%	(/.f64 (+.f64 y x) (neg.f64 y))
✓	accuracy	96.6%	(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
✓	accuracy	100.0%	(/.f64 z y)
	accuracy	100.0%	(neg.f64 x)
✓	accuracy	93.7%	(*.f64 (neg.f64 x) (/.f64 z y))
✓	accuracy	100.0%	(neg.f64 z)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y z))
	accuracy	99.9%	(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	accuracy	99.8%	(/.f64 (/.f64 y z) (/.f64 z y))
✓	accuracy	68.2%	(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))

Results

81.0ms

256×

valid

Compiler

Compiled 106 to 19 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 9.0ms (39.7% of total)

ival-mult: 5.0ms (22.1% of total)

ival-add: 3.0ms (13.2% of total)

ival-neg: 3.0ms (13.2% of total)

ival-sub: 1.0ms (4.4% of total)

const: 0.0ms (0% of total)

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

series30.0ms (0.4%)

Counts

7 → 168

Calls

Call 1

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

Outputs
#<alt x>
#<alt (+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))>
#<alt (+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))>
#<alt (+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) y))) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (pow.f64 z #s(literal 3 binary64))) y))) y)))>
#<alt (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))))))>
#<alt (+.f64 x y)>
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#<alt (+.f64 x y)>
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#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) z)>
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#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 #s(literal -1 binary64) (.f64 y z))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 #s(literal -1 binary64) (.f64 y z))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x z)) (.f64 #s(literal -1 binary64) (.f64 y z))) y)>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (*.f64 #s(literal -1 binary64) z)>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 x z) y)))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 z x)) (*.f64 #s(literal -1 binary64) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 x z) y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 z x) (/.f64 z y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y)) y)>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 x y))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>

Calls

48 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(/ (+ y x) (neg y))
2.0ms	y	@	-inf	(/ (* (+ y x) (+ 1 (/ y z))) (- 1 (/ (/ y z) (/ z y))))
1.0ms	z	@	0	(* (neg x) (/ z y))
1.0ms	y	@	0	(* (neg x) (/ z y))
1.0ms	x	@	0	(* (neg x) (/ z y))

rewrite185.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log1p-expm1-u`
195×	`expm1-log1p-u`
194×	`add-cube-cbrt`
193×	`add-exp-log`
192×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	218
1	427	154
2	7478	154

Stop Event

1×	node limit

Counts

7 → 269

Calls

Call 1

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

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

simplify348.0ms (5%)

Algorithm

1×	egg-herbie

Rules

856×	`fma-neg`
515×	`associate-r`
443×	`associate-l`
369×	`times-frac`
328×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	731	15493
1	1887	13545
2	7940	13541

Stop Event

1×	node limit

Counts

437 → 432

Calls

Call 1

Inputs
x
(+.f64 x (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (+.f64 (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 z #s(literal 2 binary64)))))) (/.f64 x z)))))
(*.f64 #s(literal -1 binary64) z)
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) z) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 x (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) y)) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x z))) (pow.f64 y #s(literal 3 binary64))))))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) z)
(+.f64 (.f64 #s(literal -1 binary64) z) (/.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(+.f64 (.f64 #s(literal -1 binary64) z) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 x (pow.f64 z #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x z)) #s(literal 1 binary64))) y)) (pow.f64 z #s(literal 3 binary64))) y))) y)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(+.f64 (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (+.f64 (/.f64 y (.f64 z (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
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(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
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(.f64 #s(literal -1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 y z))) (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y z)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))))
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(.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 z (+.f64 x y)) (pow.f64 y #s(literal 2 binary64)))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y))))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64))))))))
(.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) y)) (.f64 z (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x y) (pow.f64 y #s(literal 2 binary64)))) (.f64 z (-.f64 (.f64 #s(literal -1 binary64) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))))))
(+.f64 x y)
(+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))
(+.f64 x (+.f64 y (+.f64 (/.f64 (.f64 y (+.f64 x y)) z) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64))))))
(-.f64 (+.f64 x (+.f64 y (+.f64 (/.f64 (.f64 y (+.f64 x y)) z) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 3 binary64)))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) (pow.f64 z #s(literal 2 binary64)))))
(+.f64 x y)
(+.f64 x (+.f64 y (/.f64 (*.f64 y (+.f64 x y)) z)))
(+.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x y))) (.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)) z))) z))))
(+.f64 x (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 y (+.f64 x y))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 x y)) z) (.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 x y)))) z))) 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)
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(.f64 (.f64 (/.f64 y z) (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 y z)))
(.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) y)
(.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y))
(.f64 (.f64 (/.f64 y (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (/.f64 y z) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 y z)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64))) #s(literal 1 binary64)))

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

eval247.0ms (3.5%)

Compiler: Compiled 16854 to 2687 computations (84.1% saved)

prune272.0ms (3.9%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	853	3	856
Fresh	0	4	4
Picked	2	3	5
Done	0	7	7
Total	855	17	872

Accuracy

100.0%

Counts

872 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	35.5%	(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
	14.6%	(/.f64 (*.f64 (neg.f64 x) z) y)
	41.4%	(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
	3.7%	(/.f64 (*.f64 x z) y)
✓	27.3%	(/.f64 y (/.f64 (neg.f64 y) z))
✓	45.0%	(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	48.3%	(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
✓	54.3%	(+.f64 y x)
✓	14.9%	(*.f64 (neg.f64 x) (/.f64 z y))
	14.8%	(*.f64 z (/.f64 (neg.f64 x) y))
	34.1%	(.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
	45.7%	(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
✓	34.4%	(neg.f64 z)
	3.0%	(neg.f64 x)
✓	3.4%	z
✓	20.3%	y
✓	36.3%	x

Compiler

Compiled 345 to 162 computations (53% saved)

regimes34.0ms (0.5%)

Counts

25 → 3

Calls

Call 1

Inputs
x
y
z
(neg.f64 x)
(neg.f64 z)
(+.f64 y x)
(-.f64 y x)
(/.f64 (*.f64 x z) y)
(*.f64 z (/.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (/.f64 z y))
(/.f64 y (/.f64 (neg.f64 y) z))
(/.f64 (*.f64 (neg.f64 x) z) y)
(*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(*.f64 z (/.f64 (+.f64 y x) (neg.f64 y)))
(/.f64 (*.f64 (-.f64 (neg.f64 x) y) z) y)
(.f64 z (-.f64 (.f64 #s(literal -1 binary64) (/.f64 z y)) #s(literal 1 binary64)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) y)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (/.f64 z y))))
(/.f64 (*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) (/.f64 y z))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y z) #s(literal 2 binary64))))
(.f64 z (.f64 #s(literal -1 binary64) (+.f64 (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))) (/.f64 (+.f64 y x) y))))
(*.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (-.f64 #s(literal 1 binary64) (/.f64 y z))))

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

Calls

4 calls:

9.0ms	z
8.0ms	x
8.0ms	(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))
8.0ms	y

Results

Accuracy	Segments	Branch
91.1%	1	`x`
94.4%	2	`y`
95.4%	3	`z`
99.9%	3	`(/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes21.0ms (0.3%)

Counts

18 → 3

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
6.0ms	z
6.0ms	y

Results

Accuracy	Segments	Branch
71.9%	3	`x`
71.4%	3	`z`
76.0%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes13.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	z
4.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
63.6%	3	`z`
59.5%	3	`x`
71.2%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes85.0ms (1.2%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

2 calls:

83.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
49.7%	4	`z`
63.3%	4	`y`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
x
y
z
(neg.f64 x)

Outputs
y
x
y

Calls

3 calls:

2.0ms	z
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
39.3%	2	`z`
43.0%	3	`x`
45.7%	3	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

3 calls:

1.0ms	y
1.0ms	x
1.0ms	z

Results

Accuracy	Segments	Branch
36.3%	1	`z`
36.3%	1	`x`
36.3%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0	9.227067446118274e-302
0.0ms	-2.3517578226439764e-288	-7.124973415133315e-291

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch25.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	8.165377882810125e-35	1.8316683594682761e-31
11.0ms	-1.0227149415490318e+72	-2.3646764928530585e+70

Results

14.0ms

240×

valid

Compiler

Compiled 288 to 208 computations (27.8% saved)

Precisions

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

ival-div: 3.0ms (44.3% of total)

ival-add: 2.0ms (29.6% of total)

ival-sub: 1.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

bsearch20.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	4.341090762889445e+199	1.5524049611597747e+201
9.0ms	-5.994871583020206e+62	-1.6526494237785135e+62

Results

12.0ms

192×

valid

Compiler

Compiled 174 to 133 computations (23.6% saved)

Precisions

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

ival-div: 4.0ms (60.4% of total)

ival-sub: 1.0ms (15.1% of total)

ival-add: 1.0ms (15.1% of total)

const: 0.0ms (0% of total)

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

bsearch197.0ms (2.8%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
133.0ms	8.165377882810125e-35	1.8316683594682761e-31
12.0ms	-4.7362058188736583e-51	-1.324747135565091e-53
49.0ms	-5.994871583020206e+62	-1.6526494237785135e+62

Results

62.0ms

336×

valid

Compiler

Compiled 241 to 194 computations (19.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 47.0ms (92% of total)

ival-sub: 2.0ms (3.9% of total)

ival-add: 2.0ms (3.9% of total)

const: 0.0ms (0% of total)

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

bsearch27.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.165377882810125e-35	1.8316683594682761e-31
12.0ms	-4.7362058188736583e-51	-1.324747135565091e-53

Results

17.0ms

256×

valid

Compiler

Compiled 178 to 141 computations (20.8% saved)

Precisions

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

ival-div: 4.0ms (57.6% of total)

ival-add: 2.0ms (28.8% of total)

ival-sub: 1.0ms (14.4% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
8×	`if-if-or-not`
7×	`sub-neg`
6×	`*-commutative`
5×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	386
1	81	386
2	95	386
3	104	386
4	110	386
5	112	386

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (<=.f64 y #s(literal -549999999999999998514910406462080143711736192247239117829059286556213248 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 7992587079153375/45671926166590716193865151022383844364247891968 binary64)) (+.f64 y x) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal -579999999999999967790043086891011180722342167488787569623171072 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 48000000000000002966257966435999620752150035738380113453370779945072088268441186083771860476549660486485224806375120321086646478067662120310444908973199373265297547050065959442043443737431804194324480 binary64)) (+.f64 y x) (neg.f64 z)))
(if (<=.f64 y #s(literal -269999999999999999179755764563624023604757878019076947177373696 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal -7076986000127043/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) y (if (<=.f64 y #s(literal 8220946709986329/45671926166590716193865151022383844364247891968 binary64)) x (neg.f64 z))))
(if (<=.f64 y #s(literal -1010998000018149/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) y (if (<=.f64 y #s(literal 8220946709986329/45671926166590716193865151022383844364247891968 binary64)) x y))
x

Outputs
(if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256 binary64)) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (if (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z)))))
(if (or (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256 binary64)) (not (<=.f64 (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) #s(literal 0 binary64)))) (/.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y z))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal -549999999999999998514910406462080143711736192247239117829059286556213248 binary64)) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (if (<=.f64 y #s(literal 7992587079153375/45671926166590716193865151022383844364247891968 binary64)) (+.f64 y x) (.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(if (or (<=.f64 y #s(literal -549999999999999998514910406462080143711736192247239117829059286556213248 binary64)) (not (<=.f64 y #s(literal 7992587079153375/45671926166590716193865151022383844364247891968 binary64)))) (*.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y))) (+.f64 x y))
(if (<=.f64 y #s(literal -579999999999999967790043086891011180722342167488787569623171072 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 48000000000000002966257966435999620752150035738380113453370779945072088268441186083771860476549660486485224806375120321086646478067662120310444908973199373265297547050065959442043443737431804194324480 binary64)) (+.f64 y x) (neg.f64 z)))
(if (or (<=.f64 y #s(literal -579999999999999967790043086891011180722342167488787569623171072 binary64)) (not (<=.f64 y #s(literal 48000000000000002966257966435999620752150035738380113453370779945072088268441186083771860476549660486485224806375120321086646478067662120310444908973199373265297547050065959442043443737431804194324480 binary64)))) (neg.f64 z) (+.f64 x y))
(if (<=.f64 y #s(literal -269999999999999999179755764563624023604757878019076947177373696 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal -7076986000127043/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) y (if (<=.f64 y #s(literal 8220946709986329/45671926166590716193865151022383844364247891968 binary64)) x (neg.f64 z))))
(if (<=.f64 y #s(literal -1010998000018149/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) y (if (<=.f64 y #s(literal 8220946709986329/45671926166590716193865151022383844364247891968 binary64)) x y))
x

soundness1.1s (15.3%)

Rules

1040×	`log1p-expm1-u`
1040×	`expm1-log1p-u`
856×	`fma-neg`
836×	`prod-diff`
785×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	82
1	185	82
2	2731	82
0	731	15493
1	1887	13545
2	7940	13541
0	25	234
1	412	198
2	6963	198
0	470	8901
1	1228	7507
2	4679	7245

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 495 to 175 computations (64.6% saved)

preprocess48.0ms (0.7%)

Compiler: Compiled 310 to 146 computations (52.9% saved)

analyze87.0ms (1.2%)

sample1.1s (15.4%)

preprocess242.0ms (3.5%)

explain72.0ms (1%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify59.0ms (0.8%)

localize28.0ms (0.4%)

series19.0ms (0.3%)

rewrite230.0ms (3.3%)

simplify132.0ms (1.9%)

eval47.0ms (0.7%)

prune50.0ms (0.7%)

simplify239.0ms (3.4%)

localize122.0ms (1.7%)

series27.0ms (0.4%)

rewrite253.0ms (3.6%)

simplify189.0ms (2.7%)

eval212.0ms (3%)

prune112.0ms (1.6%)

simplify61.0ms (0.9%)

localize109.0ms (1.6%)

series35.0ms (0.5%)

rewrite198.0ms (2.8%)

simplify224.0ms (3.2%)

eval145.0ms (2.1%)

prune191.0ms (2.7%)

simplify92.0ms (1.3%)

localize103.0ms (1.5%)

series30.0ms (0.4%)

rewrite185.0ms (2.6%)

simplify348.0ms (5%)

eval247.0ms (3.5%)

prune272.0ms (3.9%)

regimes34.0ms (0.5%)

regimes21.0ms (0.3%)

regimes13.0ms (0.2%)

regimes85.0ms (1.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch0.0ms (0%)

bsearch25.0ms (0.4%)

bsearch20.0ms (0.3%)

bsearch197.0ms (2.8%)

bsearch27.0ms (0.4%)

simplify12.0ms (0.2%)

soundness1.1s (15.3%)

preprocess48.0ms (0.7%)

end0.0ms (0%)

Profiling