Metrics for Numeric.Log:$clog1p from log-domain-0.10.2.1, B

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

Operation ival-sqrt, time spent: 1.0ms, 48.0% of total-time

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

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

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

sample1.5s (28.1%)

Results

1.5s	8251×	body	0	valid
1.0ms	5×	body	1	valid

Precisions

Click to see histograms. Total time spent on operations: 694.0ms

Operation ival-add, time spent: 419.0ms, 60.0% of total-time

Operation ival-sqrt, time spent: 139.0ms, 20.0% of total-time

Operation ival-div, time spent: 94.0ms, 14.0% of total-time

Operation const, time spent: 41.0ms, 6.0% of total-time

Bogosity

preprocess156.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-def`
104×	`associate-r`
82×	`distribute-lft-neg-in`
62×	`cancel-sign-sub-inv`
58×	`distribute-rgt-in`

Problems

256×

No Errors

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	136
1	35	120
2	56	120
3	117	120
4	229	120
5	482	120
6	909	120
7	930	120
8	948	120
9	966	120

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (-.f64 1 x))))
(neg.f64 (/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 x)))))
(neg.f64 (/.f64 (neg.f64 x) (+.f64 1 (sqrt.f64 (+.f64 (neg.f64 x) 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (+.f64 1 (sqrt.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 x (+.f64 1 (sqrt.f64 (-.f64 1 x))))

Compiler

Compiled 34 to 26 computations (23.5% saved)

Precisions

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

Operation ival-add, time spent: 34.0ms, 67.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 24.0% of total-time

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

Operation ival-div, time spent: 3.0ms, 6.0% 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
▶	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize105.0ms (1.9%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (sqrt.f64 (+.f64 x 1)))
✓	100.0%	(sqrt.f64 (+.f64 x 1))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Compiler

Compiled 25 to 19 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

Operation ival-add, time spent: 36.0ms, 63.0% of total-time

Operation ival-sqrt, time spent: 15.0ms, 26.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

Operation ival-div, time spent: 3.0ms, 5.0% of total-time

series6.0ms (0.1%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
2.0ms	x	@	-inf	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 x 1))
0.0ms	x	@	0	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x 1))

rewrite226.0ms (4.2%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`unpow-prod-down`
848×	`prod-diff`
678×	`log1p-expm1-u`
677×	`expm1-log1p-u`
614×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	137	63
2	1911	63

Stop Event

1×	node limit

Counts

3 → 195

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (+.f64 x 1))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))

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

simplify129.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

736×	`exp-prod`
652×	`associate-l`
646×	`associate-r`
600×	`cube-prod`
592×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	7662
1	1291	7294
2	5006	7018

Stop Event

1×	node limit

Counts

207 → 295

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 0 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 1)
(*.f64 x (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 x (pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 1 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(*.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)) 1))
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x)
(*.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (/.f64 1 x) -1))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (/.f64 x (neg.f64 x)) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/3) (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -2) 1) (pow.f64 (/.f64 x (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1/2) 1) (pow.f64 (/.f64 x (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) 1) (pow.f64 (/.f64 (cbrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1) (pow.f64 (/.f64 (cbrt.f64 x) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) 1) (pow.f64 (/.f64 (sqrt.f64 x) (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1))
(*.f64 (pow.f64 (/.f64 x (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) 1) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (/.f64 x (neg.f64 x)) 1) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) x) 1/3) (pow.f64 (/.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) 1/3) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 5/2) 1/3) (pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 2))
(.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x)) (cbrt.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x))) -1) (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) -2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (pow.f64 x -1/2) -1) (pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) x) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) x) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (pow.f64 (cbrt.f64 x) 2)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (cbrt.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1) (pow.f64 (/.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (sqrt.f64 x)) -1))
(pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)
(pow.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) -1)
(pow.f64 (/.f64 (/.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) x) 1) -1)
(neg.f64 (/.f64 x (+.f64 (neg.f64 (sqrt.f64 (+.f64 x 1))) -1)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1))
(exp.f64 (.f64 (.f64 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 (sqrt.f64 (+.f64 x 1))))) 2))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x)) -1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 0 (sqrt.f64 (+.f64 x 1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))))
(-.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) 1)
(*.f64 (sqrt.f64 (+.f64 x 1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6))
(*.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(*.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x 1))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/2))
(*.f64 (pow.f64 (+.f64 1 (pow.f64 x 3)) 1/2) (pow.f64 (/.f64 1 (fma.f64 x x (-.f64 1 x))) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/2) (pow.f64 (/.f64 1 (+.f64 x -1)) 1/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/2) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/2))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) 1) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6))) 3) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/6)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 5/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 3/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 3/2)) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/6) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x 1) 5/4) 1/3) (pow.f64 (pow.f64 (+.f64 x 1) 1/4) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) 1/4)) 2))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1)))
(/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (hypot.f64 x (sqrt.f64 (-.f64 1 x))))
(pow.f64 (+.f64 x 1) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x 1)) 1)
(pow.f64 (pow.f64 (+.f64 x 1) 1/6) 3)
(pow.f64 (cbrt.f64 (+.f64 x 1)) 3/2)
(pow.f64 (pow.f64 (+.f64 x 1) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 x 1) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 x 1) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 x 1) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x 1)))))
(cbrt.f64 (pow.f64 (+.f64 x 1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(hypot.f64 1 (sqrt.f64 x))
(exp.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (.f64 (.f64 1/3 (*.f64 (log1p.f64 x) 1/2)) 3))
(exp.f64 (.f64 (.f64 (*.f64 (log1p.f64 x) 1/2) 3) 1/3))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 x)) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 x)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x 1))))
(fma.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) -1)
(fma.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) -1)
(fma.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) -1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 1)
(-.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 1 (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(*.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (neg.f64 x) (pow.f64 (/.f64 1 (-.f64 1 (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 5/2) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)) 1)
(+.f64 (*.f64 -1/8 (pow.f64 x 2)) (fma.f64 1/2 x 1))
(+.f64 1 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))) 1)
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
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(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (pow.f64 (/.f64 1 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))) 1))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3) (pow.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3) (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3)) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2)) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2) 1/3) (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 4) 2)))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 5/2) 1/3) (pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 1/3))
(*.f64 (cbrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) (cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 5/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2) (pow.f64 (sqrt.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 x (expm1.f64 (*.f64 1/2 (log1p.f64 x))))
(/.f64 1 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (cbrt.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))) 3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2) 1/2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3) 1/3)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (hypot.f64 1 (pow.f64 (+.f64 x 1) 1/4)) 2)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(pow.f64 (/.f64 (-.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))) (+.f64 1 (pow.f64 (+.f64 x 1) 3/2))) -1)
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (-.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (+.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (-.f64 (+.f64 x 2) (sqrt.f64 (+.f64 x 1))))
(pow.f64 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)) -1)
(/.f64 1 (/.f64 (-.f64 1 (sqrt.f64 (+.f64 x 1))) (neg.f64 x)))
(/.f64 (neg.f64 x) (-.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(sqrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 2))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (exp.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(cbrt.f64 (pow.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1))) 3))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(expm1.f64 (log1p.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 1/3))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (sqrt.f64 (+.f64 x 1)))) 2))
(exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x 1))))
(log1p.f64 (expm1.f64 (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (+.f64 x 1)) 1 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/12) 6))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 (+.f64 x 1) 1/6) 1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/6) (cbrt.f64 (+.f64 x 1)) 1)
(+.f64 1 (pow.f64 (pow.f64 (+.f64 x 1) 1/12) 6))
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) 1)
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(fma.f64 (fabs.f64 (cbrt.f64 (+.f64 x 1))) (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 1)
(+.f64 1 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x 1))) 3))

eval124.0ms (2.3%)

Compiler: Compiled 4934 to 3982 computations (19.3% saved)

prune53.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	289	6	295
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	289	7	296

Accuracy

100.0%

Counts

296 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
▶	62.8%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶	62.8%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	62.0%	(/.f64 x 2)
	60.4%	(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
▶	44.7%	(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶	97.1%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
▶	62.8%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
▶	62.8%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
▶	62.0%	(/.f64 x 2)
	60.4%	(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
▶	44.7%	(+.f64 -1 (sqrt.f64 (+.f64 x 1)))

Compiler

Compiled 214 to 166 computations (22.4% saved)

localize589.0ms (10.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
	100.0%	(sqrt.f64 (+.f64 x 1))
✓	68.2%	(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
✓	100.0%	(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
✓	100.0%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	100.0%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	99.7%	(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
✓	99.7%	(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
✓	97.1%	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

Compiler

Compiled 97 to 67 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 308.0ms

Operation ival-mult, time spent: 137.0ms, 44.0% of total-time

Operation ival-add, time spent: 88.0ms, 29.0% of total-time

Operation ival-div, time spent: 28.0ms, 9.0% of total-time

Operation const, time spent: 17.0ms, 6.0% of total-time

Operation ival-expm1, time spent: 15.0ms, 5.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 4.0% of total-time

Operation ival-log1p, time spent: 12.0ms, 4.0% of total-time

series13.0ms (0.2%)

Counts

7 → 76

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
3.0ms	x	@	-inf	(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
1.0ms	x	@	-inf	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
1.0ms	x	@	inf	(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
1.0ms	x	@	inf	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

rewrite175.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1888×	`prod-diff`
490×	`log1p-udef`
486×	`expm1-udef`
224×	`associate-r`
176×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	141
1	387	135
2	5808	135

Stop Event

1×	node limit

Counts

7 → 328

Calls

Call 1

Inputs
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 1 (+.f64 (*.f64 1/2 x) 1))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))

Outputs
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 (sqrt.f64 (+.f64 x 1)) -1)
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2)) 1)
(.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
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(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x 1/2 2) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x 1/2 2))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (fma.f64 x 1/2 2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x 1/2 2))) 1)
(-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/4) (fma.f64 x 1/2 -2)) (/.f64 4 (fma.f64 x 1/2 -2)))
(-.f64 (/.f64 1 (-.f64 0 (.f64 x 1/2))) (/.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (.f64 x 1/2))))
(*.f64 1 (fma.f64 x 1/2 2))
(*.f64 (fma.f64 x 1/2 2) 1)
(*.f64 (cbrt.f64 (fma.f64 x 1/2 2)) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 2) (cbrt.f64 (fma.f64 x 1/2 2)))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 2)) (sqrt.f64 (fma.f64 x 1/2 2)))
(.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (/.f64 1 (+.f64 1 (.f64 (fma.f64 x 1/2 1) (*.f64 x 1/2)))))
(.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (/.f64 1 (-.f64 0 (.f64 x 1/2))))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) -4) (/.f64 1 (fma.f64 x 1/2 -2)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)) (+.f64 (.f64 (pow.f64 x 3) 1/8) 8)))
(/.f64 1 (/.f64 (fma.f64 x 1/2 -2) (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)))
(/.f64 1 (/.f64 (+.f64 1 (.f64 (fma.f64 x 1/2 1) (.f64 x 1/2))) (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))))
(/.f64 1 (/.f64 (-.f64 0 (*.f64 x 1/2)) (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 1 (.f64 (fma.f64 x 1/2 1) (.f64 x 1/2))))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3)) (+.f64 (pow.f64 (fma.f64 x 1/2 1) 2) (-.f64 0 (*.f64 x 1/2))))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 4 x)))
(/.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8) (+.f64 4 (-.f64 (.f64 (pow.f64 x 2) 1/4) x)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2)) (-.f64 0 (*.f64 x 1/2)))
(/.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4) (fma.f64 x 1/2 -2))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 3) 1/8) 8)) (neg.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 4 x))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) -4)) (neg.f64 (fma.f64 x 1/2 -2)))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 x 1/2 1) 3))) (neg.f64 (+.f64 1 (.f64 (fma.f64 x 1/2 1) (.f64 x 1/2)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 x 1/2 1) 2))) (neg.f64 (-.f64 0 (*.f64 x 1/2))))
(/.f64 (-.f64 4 (.f64 (pow.f64 x 2) 1/4)) (-.f64 2 (.f64 x 1/2)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x 1/2 1) 2) 1) (*.f64 x 1/2))
(pow.f64 (fma.f64 x 1/2 2) 1)
(pow.f64 (cbrt.f64 (fma.f64 x 1/2 2)) 3)
(pow.f64 (pow.f64 (fma.f64 x 1/2 2) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x 1/2 2)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x 1/2 2) 2))
(log.f64 (exp.f64 (fma.f64 x 1/2 2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x 1/2 2))))
(cbrt.f64 (pow.f64 (fma.f64 x 1/2 2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x 1/2 2)))
(exp.f64 (log.f64 (fma.f64 x 1/2 2)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x 1/2 2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x 1/2 2)))
(fma.f64 x 1/2 2)
(fma.f64 1/2 x 2)
(fma.f64 1 (*.f64 x 1/2) 2)
(fma.f64 1 (fma.f64 x 1/2 1) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (cbrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x 1/2)) 2) (cbrt.f64 (.f64 x 1/2)) 2)
(fma.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 (fma.f64 x 1/2 1)) 1)
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) 2)
(-.f64 (sqrt.f64 (+.f64 x 1)) 1)
(-.f64 (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) (/.f64 (+.f64 x 1) (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 x (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2)) 1)
(.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(/.f64 (/.f64 x 1) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)

simplify291.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

838×	`log-prod`
600×	`exp-prod`
544×	`cube-prod`
460×	`times-frac`
452×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	545	14073
1	1393	13363
2	5377	12157

Stop Event

1×	node limit

Counts

404 → 319

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
(-.f64 (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2))) 1)
(-.f64 (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)))) 1)
(-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (+.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))) 1)
(-.f64 (+.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1/8 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))) 1)
(-.f64 (+.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1/8 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))) 1)
2
(+.f64 2 (*.f64 1/2 x))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (.f64 1/16 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 (-.f64 (.f64 1/4 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (.f64 -1/8 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2))))) (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))))
(/.f64 x (-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 1))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 2))) (/.f64 x (-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))
(+.f64 (.f64 -1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 (-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 2))) (+.f64 (.f64 1/8 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 x (pow.f64 (-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 2)))) (+.f64 (.f64 1/4 (/.f64 (pow.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 2) (.f64 x (pow.f64 (-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 1) 3)))) (/.f64 x (-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)))))
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2
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(.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))
(.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) 2) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(.f64 (sqrt.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1))))))
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(*.f64 (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))) x)
(.f64 (/.f64 1 x) (/.f64 x (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 x (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 1 (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) x) (/.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (/.f64 (cbrt.f64 x) (sqrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(.f64 (/.f64 (sqrt.f64 x) x) (/.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))))
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) 1/4) 1) (-.f64 (pow.f64 (+.f64 x 1) 1/4) 1))
(.f64 (/.f64 x (neg.f64 x)) (neg.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 x (-.f64 (sqrt.f64 (+.f64 x 1)) -1))
(/.f64 x (+.f64 (sqrt.f64 (+.f64 x 1)) 1))
(/.f64 1 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))) (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))))
(/.f64 1 (/.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 1))
(/.f64 -1 (neg.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (cbrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (+.f64 x 1) (-.f64 1 (neg.f64 (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2))) (neg.f64 (+.f64 1 (+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x 1))))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(/.f64 (/.f64 x 1) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))) x)
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x)))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 -5/128 (pow.f64 x 4)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (.f64 1/2 x))))
(fma.f64 -1/8 (pow.f64 x 2) (fma.f64 -5/128 (pow.f64 x 4) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)
(-.f64 (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)) 1)
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) -1)
(+.f64 (pow.f64 (/.f64 1 x) -1/2) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) -1))
(-.f64 (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2))) 1)
(+.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2))) -1)
(+.f64 (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1))
(-.f64 (+.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5)))) (+.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 x))) (pow.f64 (/.f64 1 x) -1/2)))) 1)
(+.f64 (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2)))) -1)
(+.f64 (fma.f64 1/16 (sqrt.f64 (/.f64 1 (pow.f64 x 5))) (fma.f64 1/2 (sqrt.f64 (/.f64 1 x)) (pow.f64 (/.f64 1 x) -1/2))) (fma.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 x 3))) -1))
(-.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) 1)
(expm1.f64 (*.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))))
(expm1.f64 (*.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 -1 (sqrt.f64 x))
(-.f64 (+.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))) 1)
(+.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (-.f64 (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)) 1))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (expm1.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 -1 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)))
(-.f64 (+.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1/8 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))) 1)
(+.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x))) 1))
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (/.f64 (.f64 -1/8 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (pow.f64 x 2))) (expm1.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 -1 (+.f64 (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x)) (/.f64 (*.f64 -1/8 (sqrt.f64 x)) (pow.f64 x 2))))
(-.f64 (+.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1/8 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (.f64 1/16 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (.f64 1/2 (/.f64 (exp.f64 (.f64 1/2 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))) 1)
(+.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (fma.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (*.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) x)))) 1))
(+.f64 (fma.f64 -1/8 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 2)) (fma.f64 1/2 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (.f64 1/16 (/.f64 (pow.f64 (exp.f64 1/2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3))))) (expm1.f64 (.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))
(+.f64 -1 (+.f64 (fma.f64 -1/8 (/.f64 (sqrt.f64 x) (pow.f64 x 2)) (/.f64 (*.f64 1/16 (sqrt.f64 x)) (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (sqrt.f64 x) x) (sqrt.f64 x))))
2
(+.f64 2 (*.f64 1/2 x))
(fma.f64 1/2 x 2)
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 2 (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 3)) (*.f64 1/2 x))))
(+.f64 2 (fma.f64 -1/8 (pow.f64 x 2) (fma.f64 1/16 (pow.f64 x 3) (*.f64 1/2 x))))
(/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))
(/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))
(fma.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)))
(fma.f64 -1/2 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))) (.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (+.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)) (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)))) (.f64 1/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 1) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))))
(+.f64 (fma.f64 -1/2 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3))) (+.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) 1/8)))
(+.f64 (+.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)) (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3))) (fma.f64 -1/2 (/.f64 (sqrt.f64 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (*.f64 (/.f64 (sqrt.f64 (/.f64 1 x)) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) 1/8)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (.f64 1/16 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (.f64 1/2 (.f64 (sqrt.f64 x) (/.f64 (-.f64 (.f64 1/4 (/.f64 x (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (.f64 -1/8 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2))))) (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1)))))) (pow.f64 x 2))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 x) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 3))) (/.f64 x (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1))))) (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 1 (pow.f64 (-.f64 (pow.f64 (/.f64 1 x) -1/2) 1) 2)))))
(+.f64 (fma.f64 -1 (/.f64 (fma.f64 1/16 (/.f64 (.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (fma.f64 1/16 (/.f64 x (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (.f64 (.f64 1/2 (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 (.f64 1/4 x) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3)) (.f64 1/8 (/.f64 (.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)))) (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1))))) (pow.f64 x 2)) (fma.f64 -1/2 (/.f64 (.f64 (sqrt.f64 x) 1) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2)) (+.f64 (/.f64 x (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1)) (/.f64 1/4 (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 3))))) (.f64 1/8 (/.f64 (*.f64 (sqrt.f64 (/.f64 1 x)) 1) (pow.f64 (+.f64 (pow.f64 (/.f64 1 x) -1/2) -1) 2))))
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2
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2
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(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) 3/2)) (neg.f64 (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 2))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 x (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))))) (sqrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (/.f64 x 1) (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) 3/2) 1) (+.f64 (+.f64 x 1) (+.f64 1 (sqrt.f64 (+.f64 x 1)))))
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (/.f64 1 (+.f64 (+.f64 1 (+.f64 x 1)) (sqrt.f64 (+.f64 x 1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (sqrt.f64 (+.f64 x 1)) (+.f64 x 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) 3/2)) (+.f64 (hypot.f64 1 (sqrt.f64 x)) (+.f64 x 2)))
(/.f64 (.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2))) x)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 (.f64 (log1p.f64 x) 1/2)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (cbrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3) 1/3)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (sqrt.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 2)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(pow.f64 (/.f64 1 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) -1)
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(neg.f64 (/.f64 x (-.f64 -1 (sqrt.f64 (+.f64 x 1)))))
(/.f64 (neg.f64 x) (-.f64 -1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(/.f64 x (+.f64 1 (hypot.f64 1 (sqrt.f64 x))))
(sqrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 2))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (exp.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (pow.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2)) 3))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))) 3)))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (log.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(exp.f64 (.f64 (log.f64 (expm1.f64 (.f64 (log1p.f64 x) 1/2))) 1))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(log1p.f64 (expm1.f64 (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))
(expm1.f64 (*.f64 1/2 (log1p.f64 x)))
(fma.f64 1 (sqrt.f64 (+.f64 x 1)) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (sqrt.f64 (+.f64 x 1))) -1)
(fma.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 x))) -1)
(fma.f64 (pow.f64 (+.f64 x 1) 1/4) (pow.f64 (+.f64 x 1) 1/4) -1)
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(+.f64 -1 (hypot.f64 1 (sqrt.f64 x)))

eval245.0ms (4.5%)

Compiler: Compiled 8165 to 6438 computations (21.2% saved)

prune62.0ms (1.1%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	409	2	411
Fresh	0	1	1
Picked	1	4	5
Done	0	1	1
Total	410	8	418

Accuracy

100.0%

Counts

418 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.8%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	62.8%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	62.0%	(/.f64 x 2)
▶	3.6%	(-.f64 2 (/.f64 8 x))
▶	60.4%	(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
✓	44.7%	(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶	97.1%	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
✓	62.8%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	62.8%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	62.0%	(/.f64 x 2)
▶	3.6%	(-.f64 2 (/.f64 8 x))
▶	60.4%	(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
✓	44.7%	(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶	97.1%	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

Compiler

Compiled 120 to 96 computations (20% saved)

localize145.0ms (2.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
	97.1%	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

Compiler

Compiled 50 to 35 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

Operation ival-mult, time spent: 14.0ms, 23.0% of total-time

Operation ival-pow, time spent: 12.0ms, 19.0% of total-time

Operation ival-log1p, time spent: 8.0ms, 13.0% of total-time

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

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

Operation ival-div, time spent: 5.0ms, 8.0% of total-time

Operation ival-add, time spent: 5.0ms, 8.0% of total-time

Operation ival-expm1, time spent: 4.0ms, 6.0% of total-time

eval43.0ms (0.8%)

Compiler: Compiled 1801 to 1406 computations (21.9% saved)

prune20.0ms (0.4%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	0	0	0
Picked	0	3	3
Done	0	5	5
Total	110	9	119

Accuracy

100.0%

Counts

119 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.8%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	62.8%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	62.0%	(/.f64 x 2)
✓	3.6%	(-.f64 2 (/.f64 8 x))
✓	60.4%	(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
✓	44.7%	(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶	39.5%	(+.f64 -1 (sqrt.f64 x))
✓	97.1%	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
✓	62.8%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	62.8%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	62.0%	(/.f64 x 2)
✓	3.6%	(-.f64 2 (/.f64 8 x))
✓	60.4%	(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
✓	44.7%	(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
▶	39.5%	(+.f64 -1 (sqrt.f64 x))
✓	97.1%	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

Compiler

Compiled 130 to 104 computations (20% saved)

localize37.0ms (0.7%)

Compiler: Compiled 10 to 6 computations (40% saved)
Precisions: Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-add, time spent: 5.0ms, 47.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 38.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

eval0.0ms (0%)

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

prune6.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	8	8
Total	9	9

Accuracy

100.0%

Counts

9 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	62.8%	(/.f64 x (+.f64 (*.f64 1/2 x) 2))
✓	62.8%	(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
✓	99.7%	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
✓	62.0%	(/.f64 x 2)
✓	3.6%	(-.f64 2 (/.f64 8 x))
✓	60.4%	(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
✓	44.7%	(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
✓	39.5%	(+.f64 -1 (sqrt.f64 x))
✓	97.1%	(expm1.f64 (*.f64 (log1p.f64 x) 1/2))

Compiler

Compiled 131 to 101 computations (22.9% saved)

regimes16.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 x))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (.f64 1/2 x))
(expm1.f64 (*.f64 (log1p.f64 x) 1/2))
(/.f64 x (/.f64 x (expm1.f64 (*.f64 (log1p.f64 x) 1/2))))

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

Calls

2 calls:

8.0ms	(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
6.0ms	x

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))`

Compiler

Compiled 77 to 57 computations (26% saved)

regimes11.0ms (0.2%)

Counts

6 → 2

Calls

Call 1

Inputs
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 x))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))

Outputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 (+.f64 x 1)))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 37 to 28 computations (24.3% saved)

regimes11.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

Inputs
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 x))

Outputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(+.f64 -1 (sqrt.f64 x))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
99.0%	2	`x`

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))

Outputs
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
62.8%	1	`x`

Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes4.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

Outputs
(/.f64 x (+.f64 (*.f64 1/2 x) 2))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
62.8%	1	`x`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes5.0ms (0.1%)

Accuracy

Total -37.4b remaining (-153.7%)

Threshold costs -37.4b (-153.7%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 x 2)
(-.f64 2 (/.f64 8 x))

Outputs
(/.f64 x 2)

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
62.0%	1	`x`

Compiler

Compiled 11 to 8 computations (27.3% saved)

bsearch26.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	5.244176632387725e-9	3.958160514351535e-5

Results

22.0ms

128×

body

valid

Compiler

Compiled 165 to 138 computations (16.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

Operation ival-add, time spent: 5.0ms, 56.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 22.0% of total-time

Operation ival-div, time spent: 1.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 11.0% of total-time

bsearch32.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.0003906632610580707	10398034080.221106

Results

28.0ms

160×

body

valid

Compiler

Compiled 183 to 150 computations (18% saved)

Precisions

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

Operation ival-add, time spent: 6.0ms, 54.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 27.0% of total-time

Operation ival-div, time spent: 2.0ms, 18.0% of total-time

Operation const, time spent: 1.0ms, 9.0% of total-time

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative`
3×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	215
1	46	215

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6198106008766409/590295810358705651712) (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 4) (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) (+.f64 -1 (sqrt.f64 x)))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x 2)

Outputs
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6198106008766409/590295810358705651712) (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) (+.f64 -1 (sqrt.f64 (+.f64 x 1))))
(if (<=.f64 x 6198106008766409/590295810358705651712) (/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2)))) (+.f64 (sqrt.f64 (+.f64 x 1)) -1))
(if (<=.f64 x 4) (/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1))) (+.f64 -1 (sqrt.f64 x)))
(if (<=.f64 x 4) (/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2)))) (+.f64 -1 (sqrt.f64 x)))
(/.f64 x (+.f64 1 (+.f64 (*.f64 1/2 x) 1)))
(/.f64 x (+.f64 1 (+.f64 1 (*.f64 x 1/2))))
(/.f64 x (+.f64 (*.f64 1/2 x) 2))
(/.f64 x (+.f64 (*.f64 x 1/2) 2))
(/.f64 x 2)

Compiler

Compiled 69 to 54 computations (21.7% saved)

soundness1.2s (22.7%)

Rules

1888×	`prod-diff`
992×	`unpow-prod-down`
992×	`unpow-prod-down`
848×	`prod-diff`
848×	`prod-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	529	7662
1	1291	7294
2	5006	7018
0	529	7662
1	1291	7294
2	5006	7018
0	11	63
1	137	63
2	1911	63
0	24	141
1	387	135
2	5808	135
0	545	14073
1	1393	13363
2	5377	12157
0	11	63
1	137	63
2	1911	63
0	529	7662
1	1291	7294
2	5006	7018

Stop Event

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

Compiler

Compiled 696 to 555 computations (20.3% saved)

end0.0ms (0%)

preprocess134.0ms (2.5%)

Compiler: Compiled 146 to 112 computations (23.3% saved)

Iter	Nodes	Cost
0	17	136
1	35	120
2	56	120
3	117	120
4	229	120
5	482	120
6	909	120
7	930	120
8	948	120
9	966	120

Iter	Nodes	Cost
0	17	136
1	35	120
2	56	120
3	117	120
4	229	120
5	482	120
6	909	120
7	930	120
8	948	120
9	966	120

analyze4.0ms (0.1%)

sample1.5s (28.1%)

preprocess156.0ms (2.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize105.0ms (1.9%)

series6.0ms (0.1%)

rewrite226.0ms (4.2%)

simplify129.0ms (2.4%)

eval124.0ms (2.3%)

prune53.0ms (1%)

localize589.0ms (10.8%)

series13.0ms (0.2%)

rewrite175.0ms (3.2%)

simplify291.0ms (5.3%)

eval245.0ms (4.5%)

prune62.0ms (1.1%)

localize145.0ms (2.7%)

eval43.0ms (0.8%)

prune20.0ms (0.4%)

localize37.0ms (0.7%)

eval0.0ms (0%)

prune6.0ms (0.1%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes11.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch26.0ms (0.5%)

bsearch32.0ms (0.6%)

simplify5.0ms (0.1%)

soundness1.2s (22.7%)

end0.0ms (0%)

preprocess134.0ms (2.5%)

Profiling

Iter	Nodes	Cost
0	17	136
1	35	120
2	56	120
3	117	120
4	229	120
5	482	120
6	909	120
7	930	120
8	948	120
9	966	120