Metrics for expq2 (section 3.11)

analyze151.0ms (3.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
37.5%	28.2%	47%	24.8%	0%	0%	0%	4
37.5%	28.2%	47%	24.8%	0%	0%	0%	5
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	6
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	7
42.2%	31.7%	43.5%	24.8%	0%	0%	0%	8
43%	32.3%	42.9%	24.8%	0%	0%	0%	9
43%	32.3%	42.9%	24.8%	0%	0%	0%	10
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	11
43.1%	32.4%	42.8%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

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

Operation ival-sub, time spent: 16.0ms, 28.0% of total-time

Operation ival-exp, time spent: 16.0ms, 28.0% of total-time

Operation ival->, time spent: 13.0ms, 23.0% of total-time

Operation ival-div, time spent: 9.0ms, 16.0% of total-time

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

sample1.8s (37.4%)

Results

677.0ms	3960×	256	valid
771.0ms	2797×	1024	valid
237.0ms	1322×	512	valid
53.0ms	174×	2048	valid
0.0ms	2×	1024	infinite
0.0ms	1×	512	valid

Precisions

Click to see histograms. Total time spent on operations: 756.0ms

Operation ival-exp, time spent: 393.0ms, 52.0% of total-time

Operation ival-div, time spent: 120.0ms, 16.0% of total-time

Operation ival->, time spent: 112.0ms, 15.0% of total-time

Operation ival-sub, time spent: 107.0ms, 14.0% of total-time

Operation const, time spent: 24.0ms, 3.0% of total-time

Bogosity

preprocess272.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

2412×	`fma-neg`
1494×	`div-sub`
1056×	`fma-define`
452×	`distribute-lft-neg-in`
436×	`associate-+r-`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
172	-	-	`(-.f64 (exp.f64 x) 1)`
0	-	-	`x`
0	-	-	`(exp.f64 x)`
0	-	-	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
0	-	-	`1`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	35	102
2	56	102
3	94	102
4	153	76
5	292	68
6	469	68
7	837	64
8	2147	64
9	3590	64
10	4606	64
11	5606	64
12	6702	64

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 1 (neg.f64 (expm1.f64 x)))
(/.f64 -1 (expm1.f64 x))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(/.f64 (exp.f64 (neg.f64 x)) (neg.f64 (expm1.f64 (neg.f64 x))))
(/.f64 (/.f64 -1 (exp.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 x) (expm1.f64 (neg.f64 x))))
(/.f64 1 (expm1.f64 x))

Compiler

Compiled 42 to 23 computations (45.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

Operation ival-exp, time spent: 25.0ms, 51.0% of total-time

Operation ival-sub, time spent: 16.0ms, 33.0% of total-time

Operation ival-div, time spent: 6.0ms, 12.0% of total-time

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

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 12 to 9 computations (25% saved)

localize98.0ms (2%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

Operation composed, time spent: 31.0ms, 38.0% of total-time

Operation ival-exp, time spent: 31.0ms, 38.0% of total-time

Operation ival-div, time spent: 9.0ms, 11.0% of total-time

Operation ival-sub, time spent: 6.0ms, 7.0% of total-time

Operation const, time spent: 2.0ms, 2.0% of total-time

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

series5.0ms (0.1%)

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (/.f64 -1 (expm1.f64 (neg.f64 x)))>
#<alt (/.f64 (exp.f64 x) (expm1.f64 x))>

Outputs
#<alt (/.f64 1 x)>
#<alt (/.f64 (+.f64 1 (*.f64 1/2 x)) x)>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 -1/720 (pow.f64 x 2))))))) x)>
#<alt (/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))>
#<alt (/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))>
#<alt (/.f64 1 x)>
#<alt (/.f64 (+.f64 1 (*.f64 1/2 x)) x)>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 -1/720 (pow.f64 x 2))))))) x)>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ -1 (- (exp (neg x)) 1))
1.0ms	x	@	inf	(/ -1 (- (exp (neg x)) 1))
1.0ms	x	@	-inf	(/ (exp x) (- (exp x) 1))
1.0ms	x	@	inf	(/ (exp x) (- (exp x) 1))
0.0ms	x	@	0	(/ (exp x) (- (exp x) 1))

rewrite192.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`unpow-prod-down`
588×	`log-prod`
526×	`log1p-expm1-u`
524×	`expm1-log1p-u`
468×	`pow1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	151	35
2	2012	34

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))

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

simplify95.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1222×	`fma-define`
708×	`distribute-lft-in`
636×	`associate-r`
602×	`distribute-rgt-in`
602×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	358	4105
1	679	3967
2	1437	3897
3	4266	3877

Stop Event

1×	node limit

Counts

145 → 184

Calls

Call 1

Inputs
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 -1/720 (pow.f64 x 2))))))) x)
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 -1 (-.f64 (exp.f64 (*.f64 -1 x)) 1))
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 -1/720 (pow.f64 x 2))))))) x)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(+.f64 0 (/.f64 -1 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x)))) 1)
(*.f64 -1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 -1 (expm1.f64 x)) 1)
(*.f64 (/.f64 -1 (expm1.f64 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) (pow.f64 (neg.f64 (expm1.f64 x)) -1/2))
(*.f64 (/.f64 1 (expm1.f64 x)) -1)
(*.f64 (/.f64 1 (expm1.f64 x)) (log.f64 (exp.f64 -1)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (neg.f64 (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) -1) -1))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 -1) 3) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 2) 3) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) -2) -1) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 (pow.f64 (expm1.f64 x) -2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 1 (expm1.f64 x)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 -1 (expm1.f64 x))))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (cbrt.f64 (expm1.f64 x)) -1))
(pow.f64 (/.f64 -1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2) 2)
(pow.f64 (neg.f64 (expm1.f64 x)) -1)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -1 (expm1.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))) 2)) (cbrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))) (sqrt.f64 (log.f64 (/.f64 -1 (expm1.f64 x)))))
(neg.f64 (/.f64 1 (expm1.f64 x)))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 -1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 -1 (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 -1 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (neg.f64 (expm1.f64 x))) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1) 1))
(+.f64 0 (/.f64 1 (-.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x))))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(*.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 1 (/.f64 1 (-.f64 1 (exp.f64 x))))
(.f64 (cbrt.f64 (exp.f64 (.f64 2 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(.f64 (cbrt.f64 (exp.f64 (.f64 2 x))) (*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) (pow.f64 (-.f64 1 (exp.f64 x)) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 -1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 2 x))) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 2 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 2 x))) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 2) 3) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (exp.f64 x)) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) -1) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (exp.f64 (.f64 2 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 (.f64 2 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 x)) -1)
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (exp.f64 x))) -1))
(exp.f64 (.f64 (.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) x) (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1)))
(exp.f64 (-.f64 x (*.f64 (log.f64 (expm1.f64 x)) 1)))

Outputs
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (+.f64 1 (*.f64 x 1/2)) x)
(/.f64 (fma.f64 x 1/2 1) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)
(/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 -1/720 (pow.f64 x 2))))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 -1/720 (pow.f64 x 2) 1/12) 1/2) 1) x)
(/.f64 (fma.f64 x (fma.f64 x 1/12 (fma.f64 -1/720 (pow.f64 x 3) 1/2)) 1) x)
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(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 2 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (*.f64 (cbrt.f64 (neg.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(.f64 (/.f64 (cbrt.f64 (exp.f64 (.f64 2 x))) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 1 1/3) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 -1 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 2) 3) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3) (pow.f64 (sqrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(/.f64 -1 (expm1.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (exp.f64 x)) 1/3) (cbrt.f64 (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 x)) -2))))
(.f64 (cbrt.f64 (/.f64 1 (expm1.f64 x))) (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 x)) -2))))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))) 1/3) (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))))
(.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x))))) (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2)))))
(.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 (neg.f64 (expm1.f64 x))))) (cbrt.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2)))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 x)))) (cbrt.f64 (.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))) 2) -1) (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) -2)) (/.f64 1 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x)))))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)) 1) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))
(/.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) -2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/2)) (/.f64 1 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/2)) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (exp.f64 (.f64 2 x)))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 2) x)))) (/.f64 1 (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x)))))
(/.f64 (.f64 1 (.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (exp.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) 2))))
(*.f64 (/.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) 2)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -2)
(*.f64 (exp.f64 x) (pow.f64 (sqrt.f64 (expm1.f64 x)) -2))
(.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 (.f64 2 x)))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) x)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 2)) (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -2)
(*.f64 (exp.f64 x) (pow.f64 (sqrt.f64 (expm1.f64 x)) -2))
(pow.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) 1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 (exp.f64 x)))) 3)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2) 1/2)
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2) 2)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (exp.f64 1) (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) 1) -1)
(/.f64 -1 (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -2))
(sqrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 1 (exp.f64 x)))))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (-.f64 1 (exp.f64 x))))) 3))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -3)) 1/3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 x)) -3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 1 (exp.f64 x)) -1/2)) 2))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 1 (exp.f64 x))) -1))
(/.f64 -1 (expm1.f64 x))
(exp.f64 (.f64 (.f64 (-.f64 x (log.f64 (expm1.f64 x))) 1) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (+.f64 (+.f64 (log.f64 -1) x) (*.f64 (log.f64 (/.f64 -1 (expm1.f64 x))) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (-.f64 x (*.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (exp.f64 x) (expm1.f64 x))

eval43.0ms (0.9%)

Compiler: Compiled 2148 to 1270 computations (40.9% saved)

prune28.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	181	5	186

Accuracy

100.0%

Counts

186 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
▶	68.2%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)
▶	68.1%	(/.f64 (+.f64 1 (*.f64 x 1/2)) x)
▶	68.5%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))

Compiler

Compiled 42 to 31 computations (26.2% saved)

localize979.0ms (19.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
✓	100.0%	(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
✓	99.6%	(pow.f64 (exp.f64 x) -1/2)
✓	99.6%	(sqrt.f64 (exp.f64 x))
✓	100.0%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)
✓	100.0%	(.f64 x (+.f64 1/2 (.f64 x 1/12)))
✓	99.6%	(*.f64 x 1/12)
✓	100.0%	(/.f64 (+.f64 1 (*.f64 x 1/2)) x)

Compiler

Compiled 94 to 57 computations (39.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 708.0ms

Operation ival-pow, time spent: 438.0ms, 62.0% of total-time

Operation ival-mult, time spent: 84.0ms, 12.0% of total-time

Operation ival-div, time spent: 52.0ms, 7.0% of total-time

Operation ival-add, time spent: 37.0ms, 5.0% of total-time

Operation ival-exp, time spent: 35.0ms, 5.0% of total-time

Operation composed, time spent: 31.0ms, 4.0% of total-time

Operation const, time spent: 13.0ms, 2.0% of total-time

Operation ival-sqrt, time spent: 13.0ms, 2.0% of total-time

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

series19.0ms (0.4%)

Counts

8 → 88

Calls

Call 1

Inputs
#<alt (/.f64 (+.f64 1 (*.f64 x 1/2)) x)>
#<alt (*.f64 x 1/12)>
#<alt (.f64 x (+.f64 1/2 (.f64 x 1/12)))>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)>
#<alt (sqrt.f64 (exp.f64 x))>
#<alt (pow.f64 (exp.f64 x) -1/2)>
#<alt (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))>
#<alt (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))>

Outputs
#<alt (/.f64 1 x)>
#<alt (/.f64 (+.f64 1 (*.f64 1/2 x)) x)>
#<alt (/.f64 (+.f64 1 (*.f64 1/2 x)) x)>
#<alt (/.f64 (+.f64 1 (*.f64 1/2 x)) x)>
#<alt 1/2>
#<alt (+.f64 1/2 (/.f64 1 x))>
#<alt (+.f64 1/2 (/.f64 1 x))>
#<alt (+.f64 1/2 (/.f64 1 x))>
#<alt 1/2>
#<alt (+.f64 1/2 (/.f64 1 x))>
#<alt (+.f64 1/2 (/.f64 1 x))>
#<alt (+.f64 1/2 (/.f64 1 x))>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/12 x)>
#<alt (*.f64 1/2 x)>
#<alt (.f64 x (+.f64 1/2 (.f64 1/12 x)))>
#<alt (.f64 x (+.f64 1/2 (.f64 1/12 x)))>
#<alt (.f64 x (+.f64 1/2 (.f64 1/12 x)))>
#<alt (*.f64 1/12 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 1/12 (pow.f64 x 2))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (/.f64 1 x)>
#<alt (/.f64 (+.f64 1 (*.f64 1/2 x)) x)>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)>
#<alt (*.f64 1/12 x)>
#<alt (.f64 x (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 x (+.f64 1/12 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (+.f64 1/12 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))))>
#<alt (*.f64 1/12 x)>
#<alt (.f64 x (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))>
#<alt (.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))>
#<alt 1>
#<alt (+.f64 1 (*.f64 1/2 x))>
#<alt (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))>
#<alt (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 1/48 x))))))>
#<alt 1>
#<alt (+.f64 1 (*.f64 -1/2 x))>
#<alt (+.f64 1 (.f64 x (-.f64 (.f64 1/8 x) 1/2)))>
#<alt (+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/8 (*.f64 -1/48 x))) 1/2)))>
#<alt (sqrt.f64 (/.f64 1 (exp.f64 x)))>
#<alt (sqrt.f64 (/.f64 1 (exp.f64 x)))>
#<alt (sqrt.f64 (/.f64 1 (exp.f64 x)))>
#<alt (sqrt.f64 (/.f64 1 (exp.f64 x)))>
#<alt (sqrt.f64 (/.f64 1 (exp.f64 x)))>
#<alt (sqrt.f64 (/.f64 1 (exp.f64 x)))>
#<alt (sqrt.f64 (/.f64 1 (exp.f64 x)))>
#<alt (sqrt.f64 (/.f64 1 (exp.f64 x)))>
#<alt (/.f64 1 x)>
#<alt (/.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 2))) x)>
#<alt (/.f64 (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 7/5760 (pow.f64 x 2)) 1/24))) x)>
#<alt (/.f64 (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 7/5760 (*.f64 -31/967680 (pow.f64 x 2)))) 1/24))) x)>
#<alt (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))>
#<alt (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))>
#<alt (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))>
#<alt (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))>
#<alt (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))>
#<alt (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))>
#<alt (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))>
#<alt (*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))>
#<alt (/.f64 1 x)>
#<alt (/.f64 (+.f64 1 (*.f64 1/2 x)) x)>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)>
#<alt (/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 -1/720 (pow.f64 x 2))))))) x)>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>
#<alt (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))>

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/ (/ (sqrt (exp x)) (- (exp x) 1)) (pow (exp x) -1/2))
1.0ms	x	@	inf	(sqrt (exp x))
1.0ms	x	@	inf	(/ (+ 1 (* x 1/2)) x)
1.0ms	x	@	inf	(/ (sqrt (exp x)) (- (exp x) 1))
1.0ms	x	@	inf	(pow (exp x) -1/2)

rewrite180.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1308×	`log1p-expm1-u`
310×	`expm1-log1p-u`
270×	`associate-r`
188×	`associate-l`
165×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	195
1	377	156
2	5525	156

Stop Event

1×	node limit

Counts

8 → 241

Calls

Call 1

Inputs
(/.f64 (+.f64 1 (*.f64 x 1/2)) x)
(*.f64 x 1/12)
(.f64 x (+.f64 1/2 (.f64 x 1/12)))
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)
(sqrt.f64 (exp.f64 x))
(pow.f64 (exp.f64 x) -1/2)
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1/2 1) x))) 1)
(*.f64 1 (/.f64 (fma.f64 x 1/2 1) x))
(*.f64 (fma.f64 x 1/2 1) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 x 1/2 1) x) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) x))
(.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 x 1/2 1)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 x 1/2 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 1/2 1) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2)
(pow.f64 (/.f64 x (fma.f64 x 1/2 1)) -1)
(neg.f64 (/.f64 (fma.f64 x 1/2 1) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x 1/2 1)) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1/2 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1/2 1) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 x 1/12)))
(log1p.f64 (expm1.f64 (*.f64 x 1/12)))
(exp.f64 (log.f64 (*.f64 x 1/12)))
(exp.f64 (.f64 (log.f64 (.f64 x 1/12)) 1))
(+.f64 (.f64 x 1/2) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 x 1/2) (.f64 (*.f64 1/12 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/12 (pow.f64 x 2)) (.f64 x 1/2))
(-.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) 1)
(/.f64 (+.f64 (.f64 1/8 (pow.f64 x 3)) (pow.f64 (.f64 1/12 (pow.f64 x 2)) 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (.f64 1/12 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2))) (.f64 (.f64 x 1/2) (*.f64 1/12 (pow.f64 x 2))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (.f64 1/12 (pow.f64 x 2)) (.f64 1/12 (pow.f64 x 2)))) (-.f64 (.f64 x 1/2) (.f64 1/12 (pow.f64 x 2))))
(/.f64 (.f64 x (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8)) (-.f64 (+.f64 1/4 (.f64 (pow.f64 x 2) 1/144)) (.f64 1/24 x)))
(/.f64 (.f64 x (-.f64 1/4 (.f64 (pow.f64 x 2) 1/144))) (+.f64 1/2 (*.f64 -1/12 x)))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 3) 1/1728) 1/8) x) (-.f64 (+.f64 1/4 (.f64 (pow.f64 x 2) 1/144)) (.f64 1/24 x)))
(/.f64 (.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/144)) x) (+.f64 1/2 (*.f64 -1/12 x)))
(pow.f64 (*.f64 x (fma.f64 x 1/12 1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x 1/12 1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x 1/12 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x 1/12 1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/12 1/2)) 2))
(log.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/12 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x 1/12 1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x 1/12 1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x 1/12 1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x 1/12 1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x 1/12 1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x 1/12 1/2))) 1))
(fma.f64 1 (.f64 x 1/2) (.f64 1/12 (pow.f64 x 2)))
(fma.f64 x 1/2 (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 1/2 x (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/4)) (cbrt.f64 (.f64 x 1/2)) (*.f64 1/12 (pow.f64 x 2)))
(fma.f64 (sqrt.f64 (.f64 x 1/2)) (sqrt.f64 (.f64 x 1/2)) (*.f64 1/12 (pow.f64 x 2)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x))) 1)
(*.f64 1 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x))
(*.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) (.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 x (fma.f64 x 1/12 1/2) 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 2)
(pow.f64 (/.f64 x (fma.f64 x (fma.f64 x 1/12 1/2) 1)) -1)
(neg.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1)) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 x)))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (exp.f64 x) 1/4))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(/.f64 1 (exp.f64 (*.f64 x -1/2)))
(/.f64 1 (/.f64 (exp.f64 (*.f64 x -1/2)) 1))
(/.f64 -1 (neg.f64 (exp.f64 (*.f64 x -1/2))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (cbrt.f64 (exp.f64 (*.f64 x -1/2))))
(/.f64 (/.f64 1 (exp.f64 (.f64 x -1/4))) (exp.f64 (.f64 x -1/4)))
(pow.f64 (exp.f64 x) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 x)) 1)
(pow.f64 (exp.f64 (*.f64 x -1/2)) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) 3)
(pow.f64 (pow.f64 (exp.f64 x) 3/2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 1/4) 2)
(pow.f64 (exp.f64 1) (*.f64 x 1/2))
(pow.f64 (exp.f64 1/2) x)
(pow.f64 (exp.f64 (cbrt.f64 (.f64 (pow.f64 x 2) 1/4))) (cbrt.f64 (.f64 x 1/2)))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 x 1/2))) (sqrt.f64 (.f64 x 1/2)))
(fabs.f64 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 x)))))
(cbrt.f64 (pow.f64 (exp.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 x 1/2))
(exp.f64 (neg.f64 (*.f64 x -1/2)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 x -1/2)))) 1)
(.f64 1 (exp.f64 (.f64 x -1/2)))
(.f64 (exp.f64 (.f64 x -1/2)) 1)
(.f64 (cbrt.f64 (exp.f64 (.f64 x -1/2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) -1)) (cbrt.f64 (exp.f64 (.f64 x -1/2))))
(.f64 (exp.f64 (.f64 x -1/4)) (exp.f64 (*.f64 x -1/4)))
(.f64 (pow.f64 1 -1/2) (exp.f64 (.f64 x -1/2)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) -1/2) (pow.f64 (sqrt.f64 (exp.f64 x)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) -1/2) (pow.f64 (cbrt.f64 (exp.f64 x)) -1/2))
(sqrt.f64 (pow.f64 (exp.f64 x) -1))
(log.f64 (exp.f64 (exp.f64 (*.f64 x -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 x -1/2)))))
(cbrt.f64 (pow.f64 (exp.f64 (*.f64 x -1/2)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 x -1/2))))
(exp.f64 (*.f64 x -1/2))
(exp.f64 (.f64 (.f64 x -1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(*.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (expm1.f64 x)))
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (pow.f64 (exp.f64 x) 1/4) (/.f64 (pow.f64 (exp.f64 x) 1/4) (expm1.f64 x)))
(.f64 (pow.f64 (exp.f64 x) 1/4) (.f64 (pow.f64 (exp.f64 x) 1/4) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 x))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) 1) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (expm1.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) 1/4) 1) (/.f64 (pow.f64 (exp.f64 x) 1/4) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (exp.f64 x) 1/4) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (pow.f64 (exp.f64 x) 1/4) (cbrt.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 2)
(pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1)
(neg.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2)))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3/2) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))))
(exp.f64 (-.f64 (*.f64 x 1/2) (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (-.f64 (.f64 x 1/2) (log.f64 (expm1.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(.f64 (sqrt.f64 (exp.f64 x)) (/.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 (.f64 x -1/2))))
(.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (.f64 (exp.f64 (*.f64 x -1/2)) (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(.f64 (cbrt.f64 (exp.f64 x)) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (.f64 (exp.f64 (*.f64 x -1/2)) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (.f64 x -1/2))))
(.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (sqrt.f64 (exp.f64 x))))
(.f64 (pow.f64 (exp.f64 x) 1/4) (/.f64 (pow.f64 (exp.f64 x) 1/4) (.f64 (exp.f64 (*.f64 x -1/2)) (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (.f64 x -1/2))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (sqrt.f64 (exp.f64 x))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) (/.f64 1 (neg.f64 (exp.f64 (.f64 x -1/2)))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 (.f64 x -1/2))) (/.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))) (expm1.f64 x)))
(.f64 (/.f64 (pow.f64 (exp.f64 x) 1/4) (exp.f64 (.f64 x -1/2))) (/.f64 (pow.f64 (exp.f64 x) 1/4) (expm1.f64 x)))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (exp.f64 (.f64 x -1/2)))))
(.f64 (/.f64 1 (exp.f64 (.f64 x -1/4))) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (exp.f64 (*.f64 x -1/4))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 (.f64 x -1/2))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (/.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 (exp.f64 (.f64 x -1/2)))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (.f64 x -1/4))) (/.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x -1/4))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (.f64 x -1/2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (exp.f64 (.f64 x -1/4))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (*.f64 x -1/4))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (.f64 x -1/2))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (exp.f64 (.f64 x -1/2)))))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (/.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) -1)
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (neg.f64 (exp.f64 (*.f64 x -1/2)))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) (exp.f64 (*.f64 x -1/2))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 x -1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 1))

simplify142.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-lft-neg-in`
592×	`cancel-sign-sub-inv`
578×	`distribute-rgt-neg-in`
498×	`exp-prod`
480×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	603	8912
1	1267	8699
2	4056	8392

Stop Event

1×	node limit

Counts

329 → 351

Calls

Call 1

Inputs
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
1/2
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
1/2
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (/.f64 1 x))
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(*.f64 1/2 x)
(.f64 x (+.f64 1/2 (.f64 1/12 x)))
(.f64 x (+.f64 1/2 (.f64 1/12 x)))
(.f64 x (+.f64 1/2 (.f64 1/12 x)))
(*.f64 1/12 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 1/12 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(*.f64 1/12 x)
(.f64 x (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(.f64 x (+.f64 1/12 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 1/12 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 1/12 x)
(.f64 x (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 1/48 x))))))
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (.f64 x (-.f64 (.f64 1/8 x) 1/2)))
(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/8 (*.f64 -1/48 x))) 1/2)))
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 2))) x)
(/.f64 (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 7/5760 (pow.f64 x 2)) 1/24))) x)
(/.f64 (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 7/5760 (*.f64 -31/967680 (pow.f64 x 2)))) 1/24))) x)
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 -1/720 (pow.f64 x 2))))))) x)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1/2 1) x))) 1)
(*.f64 1 (/.f64 (fma.f64 x 1/2 1) x))
(*.f64 (fma.f64 x 1/2 1) (/.f64 1 x))
(*.f64 (/.f64 (fma.f64 x 1/2 1) x) 1)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) x))
(.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (/.f64 1 x)))
(*.f64 (neg.f64 (fma.f64 x 1/2 1)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (fma.f64 x 1/2 1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 1/2 1) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (cbrt.f64 x)))
(pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 3)
(pow.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2)
(pow.f64 (/.f64 x (fma.f64 x 1/2 1)) -1)
(neg.f64 (/.f64 (fma.f64 x 1/2 1) (neg.f64 x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x 1/2 1)) x))
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 2))
(log.f64 (exp.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 x 1/2 1) x))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 x 1/2 1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(exp.f64 (log.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x 1/2 1) x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x 1/12))) 1)
(pow.f64 (*.f64 x 1/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x 1/12)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x 1/12))))
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(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (/.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 (exp.f64 (.f64 x -1/2)))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (.f64 x -1/4))) (/.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x -1/4))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (.f64 x -1/2))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (exp.f64 (.f64 x -1/4))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (*.f64 x -1/4))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (.f64 x -1/2))))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (exp.f64 (.f64 x -1/2)))))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(pow.f64 (/.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) -1)
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (neg.f64 (exp.f64 (*.f64 x -1/2)))))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) (exp.f64 (*.f64 x -1/2))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 x -1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 1))

Outputs
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
1/2
(+.f64 1/2 (/.f64 1 x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
1/2
(+.f64 1/2 (/.f64 1 x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (/.f64 1 x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/2 x)
(*.f64 x 1/2)
(.f64 x (+.f64 1/2 (.f64 1/12 x)))
(*.f64 x (fma.f64 x 1/12 1/2))
(.f64 x (+.f64 1/2 (.f64 1/12 x)))
(*.f64 x (fma.f64 x 1/12 1/2))
(.f64 x (+.f64 1/2 (.f64 1/12 x)))
(*.f64 x (fma.f64 x 1/12 1/2))
(*.f64 1/12 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/12 1/2))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/12 1/2))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/12 1/2))
(*.f64 1/12 (pow.f64 x 2))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/12 1/2))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/12 1/2))
(.f64 (pow.f64 x 2) (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x 1/12 1/2))
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(.f64 x (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 x (+.f64 1/12 (/.f64 1/2 x)))
(fma.f64 x 1/12 1/2)
(.f64 x (+.f64 1/12 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (+.f64 (+.f64 1/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))))
(*.f64 x (+.f64 1/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 x 1/12 1/2) (*.f64 x (/.f64 1 (pow.f64 x 2))))
(.f64 x (+.f64 1/12 (+.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (+.f64 (+.f64 1/12 (/.f64 1/2 x)) (/.f64 1 (pow.f64 x 2))))
(*.f64 x (+.f64 1/12 (+.f64 (/.f64 1/2 x) (/.f64 1 (pow.f64 x 2)))))
(+.f64 (fma.f64 x 1/12 1/2) (*.f64 x (/.f64 1 (pow.f64 x 2))))
(*.f64 1/12 x)
(*.f64 x 1/12)
(.f64 x (+.f64 1/12 (.f64 1/2 (/.f64 1 x))))
(*.f64 x (+.f64 1/12 (/.f64 1/2 x)))
(fma.f64 x 1/12 1/2)
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
(*.f64 (neg.f64 x) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 x) 1/2) x) -1/12))
(*.f64 x (neg.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -1/12)))
(*.f64 (-.f64 -1/12 (/.f64 (+.f64 (/.f64 1 x) 1/2) x)) (neg.f64 x))
(.f64 -1 (.f64 x (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 1/12)))
(*.f64 (neg.f64 x) (fma.f64 -1 (/.f64 (+.f64 (/.f64 1 x) 1/2) x) -1/12))
(*.f64 x (neg.f64 (+.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -1/12)))
(*.f64 (-.f64 -1/12 (/.f64 (+.f64 (/.f64 1 x) 1/2) x)) (neg.f64 x))
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 x 1/2 1)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/8 x))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/8))))
(fma.f64 x (fma.f64 x 1/8 1/2) 1)
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 1/48 x))))))
(+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/8 (*.f64 x 1/48))))))
(fma.f64 x (fma.f64 x (fma.f64 x 1/48 1/8) 1/2) 1)
1
(+.f64 1 (*.f64 -1/2 x))
(+.f64 1 (*.f64 x -1/2))
(fma.f64 x -1/2 1)
(+.f64 1 (.f64 x (-.f64 (.f64 1/8 x) 1/2)))
(+.f64 1 (*.f64 x (fma.f64 1/8 x -1/2)))
(fma.f64 x (fma.f64 x 1/8 -1/2) 1)
(+.f64 1 (.f64 x (-.f64 (.f64 x (+.f64 1/8 (*.f64 -1/48 x))) 1/2)))
(+.f64 1 (.f64 x (fma.f64 x (+.f64 1/8 (.f64 x -1/48)) -1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x -1/48 1/8) -1/2) 1)
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) -1/2)
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) -1/2)
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) -1/2)
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) -1/2)
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) -1/2)
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) -1/2)
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) -1/2)
(sqrt.f64 (/.f64 1 (exp.f64 x)))
(sqrt.f64 (exp.f64 (neg.f64 x)))
(pow.f64 (exp.f64 x) -1/2)
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 -1/24 (pow.f64 x 2))) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) -1/24)) x)
(/.f64 (fma.f64 (pow.f64 x 2) -1/24 1) x)
(/.f64 (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 7/5760 (pow.f64 x 2)) 1/24))) x)
(/.f64 (+.f64 1 (*.f64 (pow.f64 x 2) (fma.f64 7/5760 (pow.f64 x 2) -1/24))) x)
(/.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) 7/5760 -1/24) 1) x)
(/.f64 (+.f64 1 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 7/5760 (*.f64 -31/967680 (pow.f64 x 2)))) 1/24))) x)
(/.f64 (+.f64 1 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (+.f64 7/5760 (.f64 (pow.f64 x 2) -31/967680)) -1/24))) x)
(/.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -31/967680 7/5760) -1/24) 1) x)
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (-.f64 (exp.f64 x) 1)))
(/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))
(/.f64 1 x)
(/.f64 (+.f64 1 (*.f64 1/2 x)) x)
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 1/12 x)))) x)
(/.f64 (fma.f64 x (fma.f64 x 1/12 1/2) 1) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 -1/720 (pow.f64 x 2))))))) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x (+.f64 1/12 (*.f64 (pow.f64 x 2) -1/720)))))) x)
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 (pow.f64 x 2) -1/720 1/12) 1/2) 1) x)
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 x 1/2 1) x))) 1)
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(expm1.f64 (log1p.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 1 (/.f64 (fma.f64 x 1/2 1) x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (fma.f64 x 1/2 1) (/.f64 1 x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (/.f64 (fma.f64 x 1/2 1) x) 1)
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) 2) (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (/.f64 1 x)))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (sqrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (/.f64 1 x)))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (neg.f64 (fma.f64 x 1/2 1)) (/.f64 1 (neg.f64 x)))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (/.f64 1 x) (fma.f64 x 1/2 1))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 1/2 1) (cbrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x 1/2 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) 1) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 x 1/2 1) x)) (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (/.f64 (cbrt.f64 (+.f64 (/.f64 1 x) 1/2)) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/2 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 x 1/2 1)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x 1/2 1) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) 1) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) x))
(/.f64 (fma.f64 x 1/2 1) x)
(+.f64 (/.f64 1 x) 1/2)
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 x 1/2 1)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 x 1/2 1) (cbrt.f64 x)))
(/.f64 (/.f64 (fma.f64 x 1/2 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(pow.f64 (/.f64 (fma.f64 x 1/2 1) x) 1)
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(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (exp.f64 (.f64 x -1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))) (cbrt.f64 (exp.f64 (neg.f64 x))))
(.f64 (/.f64 1 (exp.f64 (.f64 x -1/4))) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (exp.f64 (*.f64 x -1/4))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 (.f64 x -1/2))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (/.f64 (/.f64 1 (expm1.f64 x)) (cbrt.f64 (exp.f64 (.f64 x -1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))) (cbrt.f64 (exp.f64 (neg.f64 x))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 (.f64 x -1/4))) (/.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 (*.f64 x -1/4))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) 1) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (.f64 x -1/2))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (pow.f64 (exp.f64 x) -1/2)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2)))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (exp.f64 (neg.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (exp.f64 (neg.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (exp.f64 (.f64 x -1/4))) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (*.f64 x -1/4))))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (pow.f64 (exp.f64 x) -1/4)) (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (pow.f64 (exp.f64 x) -1/4)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (pow.f64 (expm1.f64 x) 2))) (/.f64 (/.f64 (cbrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (pow.f64 (exp.f64 -1/4) x)) (pow.f64 (exp.f64 -1/4) x)))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) 1) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (exp.f64 (.f64 x -1/2))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(.f64 (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (pow.f64 (exp.f64 x) -1))) (/.f64 (sqrt.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (cbrt.f64 (exp.f64 (.f64 x -1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 (neg.f64 x)))) (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (exp.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) -1/2))) (cbrt.f64 (exp.f64 (neg.f64 x))))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3) 1/3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(pow.f64 (/.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (neg.f64 (exp.f64 (*.f64 x -1/2)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(neg.f64 (/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) (exp.f64 (*.f64 x -1/2))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) 3) (pow.f64 (exp.f64 (*.f64 x -1/2)) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))

eval103.0ms (2.1%)

Compiler: Compiled 5256 to 3127 computations (40.5% saved)

prune98.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	349	2	351
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	351	5	356

Accuracy

100.0%

Counts

356 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.2%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)
✓	68.5%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	68.1%	(+.f64 (/.f64 1 x) 1/2)
▶	3.2%	1/2

Compiler

Compiled 30 to 24 computations (20% saved)

localize27.0ms (0.6%)

Compiler: Compiled 14 to 11 computations (21.4% saved)
Precisions: Click to see histograms. Total time spent on operations: 7.0ms
Operation ival-div, time spent: 4.0ms, 57.0% of total-time
Operation const, time spent: 1.0ms, 14.0% of total-time
Operation ival-add, time spent: 1.0ms, 14.0% of total-time

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	2	2
Done	3	3
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.2%	(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)
✓	68.5%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	68.1%	(+.f64 (/.f64 1 x) 1/2)
✓	3.2%	1/2

Compiler

Compiled 86 to 60 computations (30.2% saved)

regimes78.0ms (1.6%)

Counts

9 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (+.f64 1 (*.f64 x 1/2)) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))

Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))

Calls

3 calls:

70.0ms	(exp.f64 x)
5.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
100.0%	1	`(exp.f64 x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
1/2
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(/.f64 (+.f64 1 (*.f64 x 1/2)) x)
(/.f64 (+.f64 1 (.f64 x (+.f64 1/2 (.f64 x 1/12)))) x)

Outputs
(/.f64 1 x)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
68.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1/2

Outputs
1/2

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
3.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`sub-neg`
2×	`*-commutative`
2×	`neg-sub0`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	20	29
2	22	29
3	23	29

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
1/2

Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)
1/2

Compiler

Compiled 12 to 10 computations (16.7% saved)

soundness538.0ms (10.9%)

Rules

2412×	`fma-neg`
1494×	`div-sub`
1222×	`fma-define`
1056×	`fma-define`
708×	`distribute-lft-in`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	358	4105
1	679	3967
2	1437	3897
3	4266	3877
0	15	104
1	35	102
2	56	102
3	94	102
4	153	76
5	292	68
6	469	68
7	837	64
8	2147	64
9	3590	64
10	4606	64
11	5606	64
12	6702	64

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 220 to 106 computations (51.8% saved)

end0.0ms (0%)

preprocess37.0ms (0.7%)

Compiler: Compiled 50 to 38 computations (24% saved)

analyze151.0ms (3.1%)

sample1.8s (37.4%)

preprocess272.0ms (5.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize98.0ms (2%)

series5.0ms (0.1%)

rewrite192.0ms (3.9%)

simplify95.0ms (1.9%)

eval43.0ms (0.9%)

prune28.0ms (0.6%)

localize979.0ms (19.8%)

series19.0ms (0.4%)

rewrite180.0ms (3.6%)

simplify142.0ms (2.9%)

eval103.0ms (2.1%)

prune98.0ms (2%)

localize27.0ms (0.6%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes78.0ms (1.6%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify3.0ms (0.1%)

soundness538.0ms (10.9%)

end0.0ms (0%)

preprocess37.0ms (0.7%)

Profiling