Metrics for sqrt D (should all be same)

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

Precisions

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

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

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

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

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

sample5.9s (51.3%)

Results

5.9s	8251×	256	valid
0.0ms	4×	256	infinite
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.5s

Operation ival-mult, time spent: 1.2s, 79.0% of total-time

Operation ival-pow, time spent: 214.0ms, 15.0% of total-time

Operation ival-sqrt, time spent: 83.0ms, 6.0% of total-time

Operation const, time spent: 18.0ms, 1.0% of total-time

Bogosity

preprocess197.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

49×	`fma-define`
29×	`associate-r`
24×	`fma-neg`
18×	`unsub-neg`
18×	`associate-l`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
114	-	5	(1.9068764330175655e-162)	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	25	84
2	47	84
3	134	84
4	243	84
5	305	84
6	333	84

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))))

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))

Symmetry

(abs x)

Compiler

Compiled 43 to 34 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

Operation ival-pow, time spent: 19.0ms, 45.0% of total-time

Operation ival-mult, time spent: 11.0ms, 26.0% of total-time

Operation ival-sqrt, time spent: 9.0ms, 21.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.2%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize45.0ms (0.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
✓	59.2%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

Precisions

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

Operation ival-pow, time spent: 10.0ms, 52.0% of total-time

Operation ival-mult, time spent: 6.0ms, 31.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series4.0ms (0%)

Counts

2 → 12

Calls

Call 1

Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))>

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(sqrt (* 2 (pow x 2)))
1.0ms	x	@	inf	(* 2 (pow x 2))
1.0ms	x	@	inf	(sqrt (* 2 (pow x 2)))
0.0ms	x	@	0	(* 2 (pow x 2))
0.0ms	x	@	-inf	(sqrt (* 2 (pow x 2)))

rewrite260.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

385×	`unpow-prod-down`
301×	`log1p-expm1-u`
301×	`expm1-log1p-u`
288×	`add-exp-log`
271×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	90	30
2	944	30

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Outputs
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (fabs.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (fabs.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))

simplify88.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-define`
404×	`associate-+l-`
376×	`associate-+r-`
346×	`distribute-lft-out`
307×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	2988
1	423	2934
2	1145	2838
3	4297	2832

Stop Event

1×	node limit

Counts

107 → 133

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (fabs.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 x (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 x))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 x))
(.f64 (cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 5/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 5/6 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/6 binary64)))
(.f64 (sqrt.f64 (pow.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))) (cbrt.f64 x))
(.f64 (sqrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 x))
(*.f64 (fabs.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(fabs.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(fabs.f64 (neg.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))))) #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))

Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (hypot.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 x (fabs.f64 (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(.f64 (cbrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (hypot.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 x (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (.f64 #s(literal 2 binary64) (hypot.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (cbrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(hypot.f64 x x)
(.f64 (sqrt.f64 x) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x #s(literal 2 binary64))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sqrt.f64 #s(literal 2 binary64))))))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
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(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (E.f64) (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))

eval40.0ms (0.3%)

Compiler: Compiled 1534 to 1235 computations (19.5% saved)

prune16.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	2	134

Accuracy

100.0%

Counts

134 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(hypot.f64 x x)
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 9 to 6 computations (33.3% saved)

localize44.0ms (0.4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions

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

Operation composed, time spent: 8.0ms, 36.0% of total-time

Operation ival-mult, time spent: 6.0ms, 27.0% of total-time

Operation ival-sqrt, time spent: 6.0ms, 27.0% of total-time

Operation ival-add, time spent: 1.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 5.0% of total-time

series2.0ms (0%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)>
#<alt (hypot.f64 x x)>

Outputs
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 x (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))>

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(* (sqrt 2) x)
0.0ms	x	@	inf	(sqrt (+ (* x x) (* x x)))
0.0ms	x	@	-inf	(sqrt (+ (* x x) (* x x)))
0.0ms	x	@	0	(* (sqrt 2) x)
0.0ms	x	@	0	(sqrt (+ (* x x) (* x x)))

rewrite95.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

477×	`associate-r`
266×	`unpow-prod-down`
265×	`log1p-expm1-u`
265×	`expm1-log1p-u`
246×	`add-exp-log`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	88	26
2	1005	14

Stop Event

1×	node limit

Counts

2 → 302

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(hypot.f64 x x)

Outputs
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (log.f64 (E.f64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 x))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (cbrt.f64 (.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) x))
(*.f64 (cbrt.f64 x) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 x) (pow.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 x) (cbrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (cbrt.f64 x) (sqrt.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 x) (+.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 #s(literal 2 binary64))))
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(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

170×	`*-commutative`
88×	`associate-l`
32×	`associate-r`
12×	`cube-mult`
12×	`unpow3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	477	25769809163
1	1294	25769809163

Stop Event

1×

unsound

Counts

326 → 322

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 x x)
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
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(.f64 (.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 x) #s(literal 5 binary64))) (cbrt.f64 x))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 8 binary64)) (pow.f64 x #s(literal 2 binary64))))) (cbrt.f64 x))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))) (sqrt.f64 x))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (cbrt.f64 #s(literal 2 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 x (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 1/6 binary64))) (pow.f64 x #s(literal 1/6 binary64)))
(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 (cbrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64))))
(.f64 (.f64 (cbrt.f64 x) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (cbrt.f64 #s(literal 2 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5/2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(cbrt.f64 (.f64 (.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 8 binary64))) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 8 binary64) (sqrt.f64 #s(literal 8 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/4 binary64))))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 x x (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))

Outputs
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
#s(literal -2 binary64)
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal -1 binary64))
#s(literal -2 binary64)
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
#s(literal -2 binary64)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
#s(literal -2 binary64)
(+.f64 (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal -2 binary64)
(+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -2 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))))
#s(literal -2 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (cbrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (cbrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -2 binary64) (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
#s(literal -2 binary64)
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))))
#s(literal -2 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))))
#s(literal -2 binary64)
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
#s(literal -2 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/9 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 1/9 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2/3 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 2/3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/6 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 1/6 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 #s(literal -2 binary64) #s(literal 3/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 9 binary64))
#s(literal 512 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 6 binary64))
#s(literal 64 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 5 binary64))
#s(literal 32 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 4/3 binary64))
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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#s(literal -2 binary64)
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(+.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))
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(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 5 binary64)) (cbrt.f64 x) (pow.f64 x #s(literal 2 binary64)))
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eval103.0ms (0.9%)

Compiler: Compiled 2999 to 2438 computations (18.7% saved)

prune46.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	318	4	322
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	318	6	324

Accuracy

100.0%

Counts

324 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
▶	6.9%	(.f64 (.f64 #s(literal 2 binary64) x) x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	2.2%	(*.f64 x #s(literal -2 binary64))
▶	5.6%	#s(literal 512 binary64)
▶	5.6%	#s(literal 32 binary64)

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize39.0ms (0.3%)

Compiler: Compiled 19 to 13 computations (31.6% saved)
Precisions: Click to see histograms. Total time spent on operations: 10.0ms
Operation ival-mult, time spent: 8.0ms, 83.0% of total-time
Operation const, time spent: 1.0ms, 10.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	4	4
Done	2	2
Total	6	6

Accuracy

100.0%

Counts

6 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(hypot.f64 x x)
✓	6.9%	(.f64 (.f64 #s(literal 2 binary64) x) x)
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	2.2%	(*.f64 x #s(literal -2 binary64))
✓	5.6%	#s(literal 512 binary64)
✓	5.6%	#s(literal 32 binary64)

Compiler

Compiled 47 to 34 computations (27.7% saved)

regimes19.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 32 binary64)
#s(literal 512 binary64)
(*.f64 x #s(literal -2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(hypot.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Outputs
(hypot.f64 x x)

Calls

4 calls:

8.0ms	x
4.0ms	(pow.f64 x #s(literal 2 binary64))
3.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
3.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
100.0%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
100.0%	1	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 19 to 15 computations (21.1% saved)

regimes3.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 32 binary64)
#s(literal 512 binary64)
(*.f64 x #s(literal -2 binary64))
(.f64 (.f64 #s(literal 2 binary64) x) x)

Outputs
(.f64 (.f64 #s(literal 2 binary64) x) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
6.9%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Accuracy

Total -2.4b remaining (-4%)

Threshold costs -2.4b (-4%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 32 binary64)
#s(literal 512 binary64)
(*.f64 x #s(literal -2 binary64))

Outputs
#s(literal 32 binary64)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
5.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	33
1	12	33

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(hypot.f64 x x)
(.f64 (.f64 #s(literal 2 binary64) x) x)
#s(literal 32 binary64)

Outputs
(hypot.f64 x x)
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 x (.f64 x #s(literal 2 binary64)))
#s(literal 32 binary64)

Compiler

Compiled 12 to 8 computations (33.3% saved)

soundness4.5s (39.1%)

Rules

768×	`fma-define`
477×	`associate-r`
404×	`associate-+l-`
385×	`unpow-prod-down`
376×	`associate-+r-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	477	25769809163
1	1294	25769809163
0	10	28
1	88	26
2	1005	14
0	10	36
1	90	30
2	944	30
0	249	2988
1	423	2934
2	1145	2838
3	4297	2832

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	unsound

Compiler

Compiled 548 to 154 computations (71.9% saved)

end0.0ms (0%)

preprocess36.0ms (0.3%)

Remove: (abs x)
Compiler: Compiled 66 to 40 computations (39.4% saved)

analyze0.0ms (0%)

sample5.9s (51.3%)

preprocess197.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize45.0ms (0.4%)

series4.0ms (0%)

rewrite260.0ms (2.2%)

simplify88.0ms (0.8%)

eval40.0ms (0.3%)

prune16.0ms (0.1%)

localize44.0ms (0.4%)

series2.0ms (0%)

rewrite95.0ms (0.8%)

simplify62.0ms (0.5%)

eval103.0ms (0.9%)

prune46.0ms (0.4%)

localize39.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes19.0ms (0.2%)

regimes3.0ms (0%)

regimes4.0ms (0%)

simplify3.0ms (0%)

soundness4.5s (39.1%)

end0.0ms (0%)

preprocess36.0ms (0.3%)

Profiling