Metrics for Falkner and Boettcher, Appendix B, 2

analyze6.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	50%	0%	0%	50%	0%	3
50%	25%	25%	0%	0%	50%	0%	4
75%	37.5%	12.5%	0%	0%	50%	0%	5
87.5%	43.7%	6.2%	0%	0%	50%	0%	6
93.8%	46.9%	3.1%	0%	0%	50%	0%	7
96.9%	48.4%	1.6%	0%	0%	50%	0%	8
98.4%	49.2%	0.8%	0%	0%	50%	0%	9
99.2%	49.6%	0.4%	0%	0%	50%	0%	10
99.6%	49.8%	0.2%	0%	0%	50%	0%	11
99.8%	49.9%	0.1%	0%	0%	50%	0%	12

Compiler

Compiled 21 to 16 computations (23.8% saved)

Precisions

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

Operation ival-mult, time spent: 1.0ms, 32.0% of total-time

Operation ival-sqrt, time spent: 1.0ms, 32.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample1.5s (32.7%)

Results

1.4s	8255×	256	valid
1.0ms	10×	256	invalid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 738.0ms

Operation ival-mult, time spent: 276.0ms, 37.0% of total-time

Operation ival-sqrt, time spent: 248.0ms, 34.0% of total-time

Operation ival-sub, time spent: 103.0ms, 14.0% of total-time

Operation ival-div, time spent: 79.0ms, 11.0% of total-time

Operation const, time spent: 32.0ms, 4.0% of total-time

Bogosity

preprocess477.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

3462×	`fma-define`
1018×	`distribute-lft-in`
1004×	`fma-neg`
930×	`distribute-rgt-in`
870×	`unsub-neg`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 1 (.f64 3 (.f64 v v)))`
-	-	`(-.f64 1 (*.f64 v v))`
-	-	`(sqrt.f64 2)`
-	-	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
-	-	`(.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (*.f64 v v)))))`
-	-	`v`
-	-	`(/.f64 (sqrt.f64 2) 4)`
-	-	`(.f64 3 (.f64 v v))`
-	-	`(sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))`
-	-	`4`
-	-	`3`
-	-	`(*.f64 v v)`
-	-	`2`
-	-	`1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	280
1	81	276
2	199	260
3	637	256
4	1910	244
5	4131	244
6	5472	244
7	5803	244
8	5857	244
9	5917	244
10	6013	244
11	7603	244

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 (neg.f64 v) (neg.f64 v)))))) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v))))
(neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 (neg.f64 v) (neg.f64 v)))))) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) 4)) (-.f64 1 (*.f64 v v)))
(.f64 (sqrt.f64 2) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v))) 4))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 1/4 (/.f64 (.f64 v v) 4))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) -1/4)) (fma.f64 v v -1))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (fma.f64 v v -1) -1/4)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) 4)) (-.f64 1 (*.f64 v v)))
(.f64 (sqrt.f64 2) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v))) 4))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 1/4 (/.f64 (.f64 v v) 4))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) -1/4)) (fma.f64 v v -1))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (fma.f64 v v -1) -1/4)))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 (neg.f64 v) (neg.f64 v)))))) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(.f64 (.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) 4)) (-.f64 1 (*.f64 v v)))
(.f64 (sqrt.f64 2) (/.f64 (.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) (-.f64 1 (.f64 v v))) 4))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (-.f64 1/4 (/.f64 (.f64 v v) 4))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) -1/4)) (fma.f64 v v -1))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (fma.f64 v v -1) -1/4)))
(neg.f64 (.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 (neg.f64 v) (neg.f64 v)))))) (-.f64 1 (*.f64 (neg.f64 v) (neg.f64 v)))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v))))) (neg.f64 (-.f64 1 (*.f64 v v))))
(.f64 (sqrt.f64 (+.f64 1 (.f64 (.f64 v v) -3))) (.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 -1 (*.f64 v v))))
(.f64 (sqrt.f64 2) (.f64 (/.f64 (sqrt.f64 (fma.f64 (.f64 v v) -3 1)) 4) (+.f64 (.f64 v v) -1)))
(.f64 (sqrt.f64 2) (.f64 (fma.f64 v v -1) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) 1/4)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (*.f64 v -3) 1)) (/.f64 (fma.f64 v v -1) 4)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (fma.f64 v (.f64 v -3) 1)) (.f64 (fma.f64 v v -1) 1/4)))

Symmetry

(abs v)

Compiler

Compiled 166 to 113 computations (31.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

Operation ival-sqrt, time spent: 51.0ms, 41.0% of total-time

Operation ival-mult, time spent: 36.0ms, 29.0% of total-time

Operation ival-sub, time spent: 17.0ms, 14.0% of total-time

Operation ival-div, time spent: 14.0ms, 11.0% of total-time

Operation const, time spent: 6.0ms, 5.0% of total-time

eval5.0ms (0.1%)

Compiler: Compiled 109 to 79 computations (27.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 20 to 15 computations (25% saved)

localize113.0ms (2.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v))))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
✓	100.0%	(.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
✓	99.8%	(.f64 -3 (.f64 v v))

Compiler

Compiled 74 to 47 computations (36.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

Operation ival-sqrt, time spent: 20.0ms, 38.0% of total-time

Operation ival-mult, time spent: 16.0ms, 30.0% of total-time

Operation ival-add, time spent: 6.0ms, 11.0% of total-time

Operation ival-div, time spent: 4.0ms, 8.0% of total-time

Operation ival-sub, time spent: 4.0ms, 8.0% of total-time

Operation const, time spent: 3.0ms, 6.0% of total-time

series308.0ms (6.6%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
295.0ms	v	@	inf	(.f64 -3 (.f64 v v))
2.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
2.0ms	v	@	inf	(.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
1.0ms	v	@	0	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
1.0ms	v	@	0	(.f64 -3 (.f64 v v))

rewrite258.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`log-prod`
1032×	`prod-diff`
844×	`fma-define`
713×	`log1p-expm1-u`
713×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	152
1	251	128
2	3285	128

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(.f64 -3 (.f64 v v))
(.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v))))

Outputs
(+.f64 0 (*.f64 -3 (pow.f64 v 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 -3) (pow.f64 v 2))) (cbrt.f64 (pow.f64 (exp.f64 -3) (pow.f64 v 2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -3) (pow.f64 v 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3) (pow.f64 v 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -3) (pow.f64 v 2)))))
(-.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1)
(pow.f64 (*.f64 -3 (pow.f64 v 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -3 (pow.f64 v 2))) 3)
(pow.f64 (*.f64 (pow.f64 v 6) -27) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 -3)) 2)
(sqrt.f64 (*.f64 (pow.f64 v 4) 9))
(log.f64 (pow.f64 (exp.f64 -3) (pow.f64 v 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -3 (pow.f64 v 2)))))
(cbrt.f64 (*.f64 (pow.f64 v 6) -27))
(expm1.f64 (log1p.f64 (*.f64 -3 (pow.f64 v 2))))
(expm1.f64 (.f64 (log1p.f64 (.f64 -3 (pow.f64 v 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 -3 (pow.f64 v 2))))
(exp.f64 (log.f64 (*.f64 -3 (pow.f64 v 2))))
(exp.f64 (.f64 (log.f64 (.f64 -3 (pow.f64 v 2))) 1))
(fma.f64 1 (fma.f64 -3 (pow.f64 v 2) 1) -1)
(fma.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1 -1)
(fma.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (hypot.f64 1 (.f64 v (sqrt.f64 -3))) -1)
(fma.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 2) -1)
(fma.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) (.f64 (cbrt.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 2) (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) -1)
(fma.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) (.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) -1)
(fma.f64 (fma.f64 (pow.f64 v 6) -27 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 v 4) 9 (*.f64 3 (pow.f64 v 2))))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 v 4) 9)) (/.f64 1 (+.f64 1 (.f64 3 (pow.f64 v 2)))) -1)
(fma.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4)) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) -1)
(fma.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1))) (cbrt.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) -1)
(+.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(+.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(+.f64 0 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (-.f64 1 (pow.f64 v 2)))) (cbrt.f64 (pow.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (-.f64 1 (pow.f64 v 2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (-.f64 1 (pow.f64 v 2))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (-.f64 1 (pow.f64 v 2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (-.f64 1 (pow.f64 v 2))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))))) 1)
(/.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(/.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (fma.f64 v v 1))
(pow.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))) 3)
(pow.f64 (pow.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))) 2)
(sqrt.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) (-.f64 1 (pow.f64 v 2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))))))
(cbrt.f64 (pow.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 3/2) (pow.f64 (-.f64 1 (pow.f64 v 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 3) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 3/2)))
(expm1.f64 (log1p.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))))
(log1p.f64 (expm1.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))))
(exp.f64 (fma.f64 1/2 (log1p.f64 (*.f64 -3 (pow.f64 v 2))) (log1p.f64 (neg.f64 (pow.f64 v 2)))))
(exp.f64 (.f64 (fma.f64 1/2 (log1p.f64 (.f64 -3 (pow.f64 v 2))) (log1p.f64 (neg.f64 (pow.f64 v 2)))) 1))
(fma.f64 1 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(fma.f64 1 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(fma.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) 1 (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(fma.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) 1 (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(fma.f64 (cbrt.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(fma.f64 (cbrt.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(fma.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) (cbrt.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(fma.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) (cbrt.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(fma.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(fma.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (.f64 v (sqrt.f64 -3)))))
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(fma.f64 (pow.f64 1 1/2) (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 1/2) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 1/2) (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (.f64 v (sqrt.f64 -3)))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1))) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (neg.f64 (pow.f64 v 2))))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1))) (.f64 (neg.f64 (pow.f64 v 2)) (hypot.f64 1 (.f64 v (sqrt.f64 -3)))))
(+.f64 0 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8))))
(+.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(+.f64 (.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)) 1) (.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)) (neg.f64 (pow.f64 v 2))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8))))) 1)
(/.f64 1 (/.f64 4 (.f64 (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) (sqrt.f64 2))))
(/.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) (/.f64 4 (sqrt.f64 2)))
(/.f64 (.f64 (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) (sqrt.f64 2)) 4)
(/.f64 (neg.f64 (.f64 (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) (sqrt.f64 2))) -4)
(/.f64 (.f64 (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) (neg.f64 (sqrt.f64 2))) -4)
(/.f64 (.f64 (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (fma.f64 v v (pow.f64 v 4))))
(/.f64 (.f64 (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)) (-.f64 1 (pow.f64 v 4))) (fma.f64 v v 1))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))) -4)
(pow.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8))) 1)
(pow.f64 (cbrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8)))) 3)
(pow.f64 (pow.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8)))) 2)
(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8))))))
(cbrt.f64 (pow.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) 3) (.f64 (sqrt.f64 1/8) 1/8)))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (-.f64 1 (pow.f64 v 2))) 3)))
(expm1.f64 (log1p.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8)))))
(log1p.f64 (expm1.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8)))))
(exp.f64 (log.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8)))))
(exp.f64 (.f64 (log.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 1/8)))) 1))
(fma.f64 1 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (sqrt.f64 2) (.f64 1/4 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (sqrt.f64 1/8) (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (cbrt.f64 1/8) (.f64 (cbrt.f64 (sqrt.f64 1/8)) (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (.f64 (sqrt.f64 (sqrt.f64 1/8)) (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)) 1 (.f64 (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)) (neg.f64 (pow.f64 v 2))))
(fma.f64 (.f64 (cbrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))) (cbrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8)))) (cbrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (sqrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))) (sqrt.f64 (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (.f64 (sqrt.f64 (sqrt.f64 1/8)) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4)) (.f64 (sqrt.f64 (sqrt.f64 1/8)) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4)) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (.f64 (sqrt.f64 1/8) (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1))) (cbrt.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(fma.f64 (.f64 (sqrt.f64 1/8) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4)) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) (.f64 (neg.f64 (pow.f64 v 2)) (.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) (sqrt.f64 1/8))))
(+.f64 0 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))))) (cbrt.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))) 1)
(.f64 1 (hypot.f64 1 (.f64 v (sqrt.f64 -3))))
(.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3))) 1)
(.f64 (cbrt.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)))
(.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) (cbrt.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))))
(*.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4))
(.f64 (pow.f64 1 1/2) (hypot.f64 1 (.f64 v (sqrt.f64 -3))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 -3 (pow.f64 v 2) 1))))
(/.f64 (sqrt.f64 (-.f64 1 (.f64 (pow.f64 v 4) 9))) (sqrt.f64 (+.f64 1 (.f64 3 (pow.f64 v 2)))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 v 6) -27 1)) (sqrt.f64 (+.f64 1 (fma.f64 (pow.f64 v 4) 9 (*.f64 3 (pow.f64 v 2))))))
(pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/2)
(pow.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))) 1)
(pow.f64 (cbrt.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))) 3)
(pow.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/4) 2)
(fabs.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))
(log.f64 (exp.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3))))))
(cbrt.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(hypot.f64 1 (*.f64 v (sqrt.f64 -3)))
(log1p.f64 (expm1.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(exp.f64 (log.f64 (hypot.f64 1 (*.f64 v (sqrt.f64 -3)))))
(exp.f64 (.f64 (log1p.f64 (.f64 -3 (pow.f64 v 2))) 1/2))
(exp.f64 (.f64 (log.f64 (hypot.f64 1 (.f64 v (sqrt.f64 -3)))) 1))

eval109.0ms (2.3%)

Compiler: Compiled 4843 to 4181 computations (13.7% saved)

prune24.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	181	4	185
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	181	5	186

Accuracy

100.0%

Counts

186 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
▶	99.1%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
▶	99.1%	(*.f64 1/4 (sqrt.f64 2))
▶	100.0%	(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))

Compiler

Compiled 69 to 59 computations (14.5% saved)

localize283.0ms (6%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
✓	99.7%	(*.f64 -5/2 (pow.f64 v 2))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
✓	100.0%	(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
✓	100.0%	(pow.f64 (-.f64 1 (pow.f64 v 2)) 2)
✓	100.0%	(*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))

Compiler

Compiled 158 to 130 computations (17.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

Operation ival-pow, time spent: 38.0ms, 23.0% of total-time

Operation ival-sqrt, time spent: 33.0ms, 20.0% of total-time

Operation ival-mult, time spent: 31.0ms, 19.0% of total-time

Operation composed, time spent: 21.0ms, 13.0% of total-time

Operation ival-add, time spent: 14.0ms, 9.0% of total-time

Operation ival-sub, time spent: 11.0ms, 7.0% of total-time

Operation const, time spent: 9.0ms, 5.0% of total-time

Operation ival-div, time spent: 7.0ms, 4.0% of total-time

series20.0ms (0.4%)

Counts

6 → 60

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
2.0ms	v	@	inf	(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
1.0ms	v	@	0	(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
1.0ms	v	@	inf	(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
1.0ms	v	@	-inf	(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))

rewrite164.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`prod-diff`
938×	`log1p-expm1-u`
322×	`expm1-log1p-u`
314×	`associate-r`
216×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	208
1	379	186
2	4656	186

Stop Event

1×	node limit

Counts

6 → 171

Calls

Call 1

Inputs
(*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))
(pow.f64 (-.f64 1 (pow.f64 v 2)) 2)
(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
(*.f64 -5/2 (pow.f64 v 2))
(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))

Outputs
(+.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) (.f64 -3 (pow.f64 v 2))) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))
(+.f64 (.f64 (.f64 -3 (pow.f64 v 2)) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)))) 1)
(pow.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)) 3) 1/3)
(pow.f64 (*.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 (fma.f64 -3 (pow.f64 v 2) 1))) 2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 4) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 2)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 -3 (pow.f64 v 2) 1)) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 3) (pow.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) 3) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
(exp.f64 (log.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))) 1))
(+.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 (-.f64 1 (pow.f64 v 2)) (neg.f64 (pow.f64 v 2))))
(+.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 (neg.f64 (pow.f64 v 2)) (-.f64 1 (pow.f64 v 2))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))) 1)
(*.f64 1 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))
(*.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) 1)
(*.f64 (-.f64 1 (pow.f64 v 2)) (-.f64 1 (pow.f64 v 2)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 v 2))) 2) (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 4)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 v 2))) 2) (.f64 (cbrt.f64 (-.f64 1 (pow.f64 v 2))) (-.f64 1 (pow.f64 v 2))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 4)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 v 2))) 2))
(.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 2))) (.f64 (sqrt.f64 (-.f64 1 (pow.f64 v 2))) (-.f64 1 (pow.f64 v 2))))
(.f64 (.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 (-.f64 1 (pow.f64 v 2)))) (sqrt.f64 (-.f64 1 (pow.f64 v 2))))
(.f64 (.f64 (-.f64 1 (pow.f64 v 2)) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 v 2))) 2)) (cbrt.f64 (-.f64 1 (pow.f64 v 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (-.f64 1 (pow.f64 v 6))) (.f64 (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))) (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (-.f64 1 (pow.f64 v 4))) (.f64 (+.f64 (pow.f64 v 2) 1) (+.f64 (pow.f64 v 2) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (-.f64 1 (pow.f64 v 4))) (.f64 (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))) (+.f64 (pow.f64 v 2) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (-.f64 1 (pow.f64 v 6))) (.f64 (+.f64 (pow.f64 v 2) 1) (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 2)) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 2)) (-.f64 1 (pow.f64 v 4))) (+.f64 (pow.f64 v 2) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (-.f64 1 (pow.f64 v 2))) (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (-.f64 1 (pow.f64 v 2))) (+.f64 (pow.f64 v 2) 1))
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2)))
(exp.f64 (*.f64 2 (log1p.f64 (neg.f64 (pow.f64 v 2)))))
(exp.f64 (.f64 (.f64 2 (log1p.f64 (neg.f64 (pow.f64 v 2)))) 1))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))))) 1)
(.f64 1 (.f64 (sqrt.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))))
(.f64 (.f64 (sqrt.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))) 1)
(.f64 (sqrt.f64 1/8) (.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 (fma.f64 -3 (pow.f64 v 2) 1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))) (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8))) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))))
(.f64 (.f64 (-.f64 1 (pow.f64 v 2)) (sqrt.f64 (fma.f64 -3 (pow.f64 v 2) 1))) (sqrt.f64 1/8))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))))
(.f64 (pow.f64 1 1/2) (.f64 (sqrt.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 4) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 2)) 1/64)) 1/2) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8))) 1/2))
(.f64 (pow.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8) 1/2) (-.f64 1 (pow.f64 v 2)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 4) (pow.f64 (fma.f64 -3 (pow.f64 v 2) 1) 2)) 1/64))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)))))
(.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))
(pow.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) 1/2)
(pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))) 2)
(fabs.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))))
(log.f64 (exp.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2))) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8))) 1/2))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (fma.f64 -3 (pow.f64 v 2) 1) 1/8)) (-.f64 1 (pow.f64 v 2)))) 1))
(+.f64 (sqrt.f64 1/8) (*.f64 (sqrt.f64 1/8) (neg.f64 (pow.f64 v 2))))
(+.f64 (sqrt.f64 1/8) (*.f64 (neg.f64 (pow.f64 v 2)) (sqrt.f64 1/8)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2))))) 1)
(/.f64 1 (/.f64 4 (*.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 v 2)))))
(/.f64 (-.f64 1 (pow.f64 v 2)) (/.f64 4 (sqrt.f64 2)))
(/.f64 (-.f64 1 (pow.f64 v 6)) (*.f64 (/.f64 4 (sqrt.f64 2)) (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(/.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (/.f64 4 (sqrt.f64 2)) (+.f64 (pow.f64 v 2) 1)))
(/.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 v 2))) 4)
(/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 v 6))) (.f64 4 (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 v 4))) (.f64 4 (+.f64 (pow.f64 v 2) 1)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 1 (pow.f64 v 6))) (.f64 -4 (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 1 (pow.f64 v 4))) (.f64 -4 (+.f64 (pow.f64 v 2) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) 1) (.f64 (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))) (/.f64 4 (sqrt.f64 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 2)) (.f64 (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))) 4))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 6)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))) -4))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) 1) (.f64 (+.f64 (pow.f64 v 2) 1) (/.f64 4 (sqrt.f64 2))))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 2)) (.f64 (+.f64 (pow.f64 v 2) 1) 4))
(/.f64 (.f64 (-.f64 1 (pow.f64 v 4)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 (pow.f64 v 2) 1) -4))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) (-.f64 1 (pow.f64 v 2)))) -4)
(/.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 6))) (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))))
(/.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 4))) (+.f64 (pow.f64 v 2) 1))
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 2)) (neg.f64 (sqrt.f64 2))) -4)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (-.f64 1 (pow.f64 v 2))) -4)
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 6)) (sqrt.f64 1/8)) (+.f64 1 (+.f64 (pow.f64 v 2) (pow.f64 v 4))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (sqrt.f64 1/8)) (+.f64 (pow.f64 v 2) 1))
(pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2)))) 2)
(sqrt.f64 (*.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 2) 1/8))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (-.f64 1 (pow.f64 v 2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2))) 3))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (-.f64 1 (pow.f64 v 2)) 3)))
(cbrt.f64 (.f64 (pow.f64 (-.f64 1 (pow.f64 v 2)) 3) (.f64 (sqrt.f64 1/8) 1/8)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (pow.f64 v 2)))) 1))
(-.f64 (fma.f64 (pow.f64 v 2) -5/2 1) 1)
(pow.f64 (*.f64 (pow.f64 v 2) -5/2) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v 2) -5/2)) 3)
(pow.f64 (*.f64 (pow.f64 v 6) -125/8) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 -5/2)) 2)
(sqrt.f64 (*.f64 (pow.f64 v 4) 25/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) -5/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 v 2) -5/2))))
(cbrt.f64 (*.f64 (pow.f64 v 6) -125/8))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v 2) -5/2)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v 2) -5/2)))
(exp.f64 (log.f64 (*.f64 (pow.f64 v 2) -5/2)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v 2) -5/2)) 1))
(+.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))))
(+.f64 (sqrt.f64 1/8) (.f64 (.f64 (pow.f64 v 2) (*.f64 -5/2 (sqrt.f64 1/8))) 1))
(+.f64 (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))) (sqrt.f64 1/8))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1)))) 1)
(/.f64 1 (/.f64 4 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 2) -5/2 1))))
(/.f64 (fma.f64 (pow.f64 v 2) -5/2 1) (/.f64 4 (sqrt.f64 2)))
(/.f64 (+.f64 1 (.f64 (pow.f64 v 6) -125/8)) (.f64 (/.f64 4 (sqrt.f64 2)) (+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 25/4) (.f64 5/2 (pow.f64 v 2))))))
(/.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25/4)) (.f64 (/.f64 4 (sqrt.f64 2)) (+.f64 1 (*.f64 5/2 (pow.f64 v 2)))))
(/.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 2) -5/2 1)) 4)
(/.f64 (.f64 (sqrt.f64 2) (+.f64 1 (.f64 (pow.f64 v 6) -125/8))) (.f64 4 (+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 25/4) (*.f64 5/2 (pow.f64 v 2))))))
(/.f64 (.f64 (sqrt.f64 2) (-.f64 1 (.f64 (pow.f64 v 4) 25/4))) (.f64 4 (+.f64 1 (.f64 5/2 (pow.f64 v 2)))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (+.f64 1 (.f64 (pow.f64 v 6) -125/8))) (.f64 -4 (+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 25/4) (*.f64 5/2 (pow.f64 v 2))))))
(/.f64 (.f64 (neg.f64 (sqrt.f64 2)) (-.f64 1 (.f64 (pow.f64 v 4) 25/4))) (.f64 -4 (+.f64 1 (.f64 5/2 (pow.f64 v 2)))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 v 6) -125/8)) 1) (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 25/4) (*.f64 5/2 (pow.f64 v 2)))) (/.f64 4 (sqrt.f64 2))))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 v 6) -125/8)) (sqrt.f64 2)) (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 25/4) (*.f64 5/2 (pow.f64 v 2)))) 4))
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 v 6) -125/8)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 25/4) (*.f64 5/2 (pow.f64 v 2)))) -4))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25/4)) 1) (.f64 (+.f64 1 (.f64 5/2 (pow.f64 v 2))) (/.f64 4 (sqrt.f64 2))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25/4)) (sqrt.f64 2)) (.f64 (+.f64 1 (.f64 5/2 (pow.f64 v 2))) 4))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25/4)) (neg.f64 (sqrt.f64 2))) (.f64 (+.f64 1 (.f64 5/2 (pow.f64 v 2))) -4))
(/.f64 (neg.f64 (*.f64 (sqrt.f64 2) (fma.f64 (pow.f64 v 2) -5/2 1))) -4)
(/.f64 (+.f64 (.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))) 3)) (+.f64 1/8 (-.f64 (.f64 (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))) (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8)))) (.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 2) (*.f64 -5/2 (sqrt.f64 1/8)))))))
(/.f64 (-.f64 1/8 (.f64 (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))) (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))))) (-.f64 (sqrt.f64 1/8) (.f64 (pow.f64 v 2) (*.f64 -5/2 (sqrt.f64 1/8)))))
(/.f64 (.f64 (sqrt.f64 1/8) (+.f64 1 (.f64 (pow.f64 v 6) -125/8))) (+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 25/4) (.f64 5/2 (pow.f64 v 2)))))
(/.f64 (.f64 (sqrt.f64 1/8) (-.f64 1 (.f64 (pow.f64 v 4) 25/4))) (+.f64 1 (*.f64 5/2 (pow.f64 v 2))))
(/.f64 (*.f64 (fma.f64 (pow.f64 v 2) -5/2 1) (neg.f64 (sqrt.f64 2))) -4)
(/.f64 (*.f64 (neg.f64 (sqrt.f64 2)) (fma.f64 (pow.f64 v 2) -5/2 1)) -4)
(/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 v 6) -125/8)) (sqrt.f64 1/8)) (+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 25/4) (.f64 5/2 (pow.f64 v 2)))))
(/.f64 (.f64 (-.f64 1 (.f64 (pow.f64 v 4) 25/4)) (sqrt.f64 1/8)) (+.f64 1 (*.f64 5/2 (pow.f64 v 2))))
(pow.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1)) 1)
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1))) 3)
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1))) 2)
(sqrt.f64 (*.f64 1/8 (pow.f64 (fma.f64 (pow.f64 v 2) -5/2 1) 2)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 1/8)) (fma.f64 (pow.f64 v 2) -5/2 1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1)) 3))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 1/8) 1/8) (pow.f64 (fma.f64 (pow.f64 v 2) -5/2 1) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 (pow.f64 v 2) -5/2 1) 3) (.f64 (sqrt.f64 1/8) 1/8)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 1/8) (fma.f64 (pow.f64 v 2) -5/2 1))) 1))
(fma.f64 1 (sqrt.f64 1/8) (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))))
(fma.f64 (sqrt.f64 2) 1/4 (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))))
(fma.f64 (sqrt.f64 1/8) 1 (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))))
(fma.f64 (cbrt.f64 1/8) (cbrt.f64 (sqrt.f64 1/8)) (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))))
(fma.f64 (sqrt.f64 (sqrt.f64 1/8)) (sqrt.f64 (sqrt.f64 1/8)) (.f64 (pow.f64 v 2) (.f64 -5/2 (sqrt.f64 1/8))))

eval155.0ms (3.3%)

Compiler: Compiled 4420 to 3938 computations (10.9% saved)

prune32.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	228	3	231
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	230	6	236

Accuracy

100.0%

Counts

236 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
✓	99.1%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
▶	99.8%	(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 (pow.f64 v 2) (-.f64 (*.f64 7 (pow.f64 v 2)) 5)))))
▶	99.6%	(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 -5 (pow.f64 v 2)))))
▶	99.1%	(sqrt.f64 1/8)

Compiler

Compiled 77 to 66 computations (14.3% saved)

localize215.0ms (4.6%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	99.7%	(.f64 (pow.f64 v 2) (-.f64 (.f64 7 (pow.f64 v 2)) 5))
✓	99.7%	(*.f64 7 (pow.f64 v 2))
✓	99.7%	(*.f64 -5 (pow.f64 v 2))

Compiler

Compiled 120 to 102 computations (15% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

Operation ival-mult, time spent: 35.0ms, 37.0% of total-time

Operation ival-pow, time spent: 25.0ms, 27.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 13.0% of total-time

Operation ival-add, time spent: 8.0ms, 9.0% of total-time

Operation ival-sub, time spent: 7.0ms, 7.0% of total-time

Operation const, time spent: 7.0ms, 7.0% of total-time

series6.0ms (0.1%)

Counts

3 → 9

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(.f64 (pow.f64 v 2) (-.f64 (.f64 7 (pow.f64 v 2)) 5))
1.0ms	v	@	inf	(*.f64 -5 (pow.f64 v 2))
1.0ms	v	@	inf	(*.f64 7 (pow.f64 v 2))
1.0ms	v	@	0	(*.f64 -5 (pow.f64 v 2))
1.0ms	v	@	0	(.f64 (pow.f64 v 2) (-.f64 (.f64 7 (pow.f64 v 2)) 5))

rewrite95.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`unpow-prod-down`
694×	`log-prod`
623×	`log1p-expm1-u`
623×	`expm1-log1p-u`
476×	`pow-prod-down`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	148	65
2	1762	65

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(*.f64 -5 (pow.f64 v 2))
(*.f64 7 (pow.f64 v 2))
(.f64 (pow.f64 v 2) (-.f64 (.f64 7 (pow.f64 v 2)) 5))

Outputs
(+.f64 0 (*.f64 -5 (pow.f64 v 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -5) (pow.f64 v 2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -5) (pow.f64 v 2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5) (pow.f64 v 2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -5) (pow.f64 v 2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -5 (pow.f64 v 2)))) 1)
(pow.f64 (*.f64 -5 (pow.f64 v 2)) 1)
(pow.f64 (cbrt.f64 (*.f64 -5 (pow.f64 v 2))) 3)
(pow.f64 (*.f64 (pow.f64 v 4) 25) 1/2)
(pow.f64 (*.f64 (pow.f64 v 6) -125) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 -5)) 2)
(sqrt.f64 (*.f64 (pow.f64 v 4) 25))
(log.f64 (pow.f64 (exp.f64 -5) (pow.f64 v 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -5 (pow.f64 v 2)))))
(cbrt.f64 (*.f64 (pow.f64 v 6) -125))
(expm1.f64 (log1p.f64 (*.f64 -5 (pow.f64 v 2))))
(log1p.f64 (expm1.f64 (*.f64 -5 (pow.f64 v 2))))
(exp.f64 (log.f64 (*.f64 -5 (pow.f64 v 2))))
(exp.f64 (.f64 (log.f64 (.f64 -5 (pow.f64 v 2))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -5 (pow.f64 v 2)))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v 6) -125)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 v (sqrt.f64 -5))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 -5 (pow.f64 v 2))) 1) 1))
(+.f64 0 (*.f64 (pow.f64 v 2) 7))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) 7)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) 7))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) 7))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) 7))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v 2) 7))) 1)
(pow.f64 (*.f64 (pow.f64 v 2) 7) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v 2) 7)) 3)
(pow.f64 (*.f64 (pow.f64 v 4) 49) 1/2)
(pow.f64 (*.f64 (pow.f64 v 6) 343) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 7)) 2)
(sqrt.f64 (*.f64 (pow.f64 v 4) 49))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) 7))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 v 2) 7))))
(cbrt.f64 (*.f64 (pow.f64 v 6) 343))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v 2) 7)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v 2) 7)))
(exp.f64 (fma.f64 2 (log.f64 v) (log.f64 7)))
(exp.f64 (*.f64 (fma.f64 2 (log.f64 v) (log.f64 7)) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 v 2) 7))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v 6) 343)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 v (sqrt.f64 7))) 2))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 v) (log.f64 7)) 1) 1))
(exp.f64 (.f64 (.f64 (fma.f64 2 (log.f64 v) (log.f64 7)) 3) 1/3))
(+.f64 0 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5)))
(+.f64 (pow.f64 (.f64 v (.f64 v (sqrt.f64 7))) 2) (*.f64 -5 (pow.f64 v 2)))
(+.f64 (pow.f64 (.f64 (.f64 v (sqrt.f64 7)) v) 2) (*.f64 -5 (pow.f64 v 2)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) (fma.f64 (pow.f64 v 2) 7 -5))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) (fma.f64 (pow.f64 v 2) 7 -5)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) (fma.f64 (pow.f64 v 2) 7 -5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) (fma.f64 (pow.f64 v 2) 7 -5)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5)))) 1)
(/.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 6) 343 -125)) (fma.f64 (pow.f64 v 4) 49 (fma.f64 (pow.f64 v 2) 35 25)))
(/.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 4) 49 -25)) (fma.f64 (pow.f64 v 2) 7 5))
(/.f64 (*.f64 (fma.f64 (pow.f64 v 6) 343 -125) (pow.f64 v 2)) (fma.f64 (pow.f64 v 4) 49 (fma.f64 (pow.f64 v 2) 35 25)))
(/.f64 (*.f64 (fma.f64 (pow.f64 v 4) 49 -25) (pow.f64 v 2)) (fma.f64 (pow.f64 v 2) 7 5))
(pow.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5)) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5))) 3)
(pow.f64 (pow.f64 (*.f64 v (sqrt.f64 (fma.f64 (pow.f64 v 2) 7 -5))) 4) 1/2)
(pow.f64 (pow.f64 (*.f64 v (sqrt.f64 (fma.f64 (pow.f64 v 2) 7 -5))) 6) 1/3)
(pow.f64 (*.f64 v (sqrt.f64 (fma.f64 (pow.f64 v 2) 7 -5))) 2)
(sqrt.f64 (pow.f64 (*.f64 v (sqrt.f64 (fma.f64 (pow.f64 v 2) 7 -5))) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 v 2)) (fma.f64 (pow.f64 v 2) 7 -5)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5)))))
(cbrt.f64 (pow.f64 (*.f64 v (sqrt.f64 (fma.f64 (pow.f64 v 2) 7 -5))) 6))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5))))
(exp.f64 (log.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5))) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5)))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 v (sqrt.f64 (fma.f64 (pow.f64 v 2) 7 -5))) 6)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 v (sqrt.f64 (fma.f64 (pow.f64 v 2) 7 -5)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (pow.f64 v 2) (fma.f64 (pow.f64 v 2) 7 -5))) 1) 1))
(fma.f64 (pow.f64 v 2) (.f64 (pow.f64 v 2) 7) (.f64 -5 (pow.f64 v 2)))
(fma.f64 (.f64 (pow.f64 v 2) 7) (pow.f64 v 2) (.f64 -5 (pow.f64 v 2)))

eval37.0ms (0.8%)

Compiler: Compiled 1445 to 1286 computations (11% saved)

prune32.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	81	6	87

Accuracy

100.0%

Counts

87 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
✓	100.0%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
✓	99.1%	(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
✓	99.8%	(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 (pow.f64 v 2) (-.f64 (*.f64 7 (pow.f64 v 2)) 5)))))
✓	99.6%	(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 -5 (pow.f64 v 2)))))
✓	99.1%	(sqrt.f64 1/8)

Compiler

Compiled 189 to 158 computations (16.4% saved)

regimes15.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 -5 (pow.f64 v 2)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 (pow.f64 v 2) (-.f64 (*.f64 7 (pow.f64 v 2)) 5)))))
(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))

Outputs
(sqrt.f64 (.f64 1/8 (.f64 (fma.f64 -3 (pow.f64 v 2) 1) (pow.f64 (-.f64 1 (pow.f64 v 2)) 2))))

Calls

3 calls:

9.0ms	v
3.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes9.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 -5 (pow.f64 v 2)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))
(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 (pow.f64 v 2) (-.f64 (*.f64 7 (pow.f64 v 2)) 5)))))

Outputs
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (+.f64 1 (.f64 -3 (.f64 v v)))) (-.f64 1 (*.f64 v v))))

Calls

3 calls:

3.0ms	v
2.0ms	(*.f64 v v)
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes12.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 -5 (pow.f64 v 2)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Outputs
(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))

Calls

3 calls:

7.0ms	v
2.0ms	(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
100.0%	1	`v`
100.0%	1	`(.f64 (.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))`
100.0%	1	`(*.f64 v v)`

Compiler

Compiled 26 to 18 computations (30.8% saved)

regimes6.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 -5 (pow.f64 v 2)))))
(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))

Outputs
(.f64 (/.f64 (sqrt.f64 2) 4) (+.f64 1 (.f64 -5/2 (pow.f64 v 2))))

Calls

2 calls:

3.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.6%	1	`v`
99.6%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))
(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 -5 (pow.f64 v 2)))))

Outputs
(sqrt.f64 (.f64 1/8 (+.f64 1 (.f64 -5 (pow.f64 v 2)))))

Calls

2 calls:

3.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.6%	1	`v`
99.6%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes9.0ms (0.2%)

Counts

3 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))

Outputs
(.f64 (/.f64 (sqrt.f64 2) 4) (.f64 1 (-.f64 1 (*.f64 v v))))

Calls

2 calls:

6.0ms	v
2.0ms	(*.f64 v v)

Results

Accuracy	Segments	Branch
99.1%	1	`v`
99.1%	1	`(*.f64 v v)`

Compiler

Compiled 6 to 3 computations (50% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Stop Event

1×

done

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 1/8)
(*.f64 1/4 (sqrt.f64 2))

Outputs
(sqrt.f64 1/8)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`v`

Compiler

Compiled 100 to 83 computations (17% saved)

soundness651.0ms (13.9%)

Rules

3462×	`fma-define`
1228×	`log-prod`
1032×	`prod-diff`
1018×	`distribute-lft-in`
1004×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	280
1	81	276
2	199	260
3	637	256
4	1910	244
5	4131	244
6	5472	244
7	5803	244
8	5857	244
9	5917	244
10	6013	244
11	7603	244
0	19	152
1	251	128
2	3285	128

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 540 to 362 computations (33% saved)

end0.0ms (0%)

preprocess107.0ms (2.3%)

Remove: (abs v)
Compiler: Compiled 476 to 402 computations (15.5% saved)

analyze6.0ms (0.1%)

sample1.5s (32.7%)

preprocess477.0ms (10.2%)

eval5.0ms (0.1%)

prune1.0ms (0%)

localize113.0ms (2.4%)

series308.0ms (6.6%)

rewrite258.0ms (5.5%)

eval109.0ms (2.3%)

prune24.0ms (0.5%)

localize283.0ms (6%)

series20.0ms (0.4%)

rewrite164.0ms (3.5%)

eval155.0ms (3.3%)

prune32.0ms (0.7%)

localize215.0ms (4.6%)

series6.0ms (0.1%)

rewrite95.0ms (2%)

eval37.0ms (0.8%)

prune32.0ms (0.7%)

regimes15.0ms (0.3%)

regimes9.0ms (0.2%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes9.0ms (0.2%)

regimes6.0ms (0.1%)

soundness651.0ms (13.9%)

end0.0ms (0%)

preprocess107.0ms (2.3%)

Profiling