Metrics for qlog (example 3.10)

analyze661.0ms (6.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
0%	0%	50%	50%	0%	0%	0%	4
0%	0%	50%	50%	0%	0%	0%	5
6.3%	3.1%	46.8%	50%	0%	0%	0%	6
9.4%	4.7%	45.3%	50%	0%	0%	0%	7
12.5%	6.2%	43.7%	50%	0%	0%	0%	8
13.3%	6.6%	43.3%	50%	0%	0%	0%	9
13.9%	6.9%	43%	50%	0%	0%	0%	10
14.2%	7.1%	42.9%	50%	0%	0%	0%	11
14.3%	7.1%	42.8%	50%	0%	0%	0%	12

Compiler

Compiled 14 to 11 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 476.0ms

Operation ival-log, time spent: 368.0ms, 77.0% of total-time

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

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

Operation ival-<=, time spent: 17.0ms, 4.0% of total-time

Operation ival-div, time spent: 15.0ms, 3.0% of total-time

Operation ival-fabs, time spent: 15.0ms, 3.0% of total-time

Operation const, time spent: 8.0ms, 2.0% of total-time

sample6.2s (64.1%)

Results

4.3s	4128×	1024	valid
968.0ms	2044×	512	valid
384.0ms	1821×	256	valid
281.0ms	262×	2048	valid
1.0ms	1×	1024	valid

Precisions

Click to see histograms. Total time spent on operations: 4.8s

Operation ival-log, time spent: 4.1s, 85.0% of total-time

Operation ival-sub, time spent: 168.0ms, 3.0% of total-time

Operation ival-add, time spent: 148.0ms, 3.0% of total-time

Operation ival-div, time spent: 137.0ms, 3.0% of total-time

Operation ival-fabs, time spent: 115.0ms, 2.0% of total-time

Operation ival-<=, time spent: 104.0ms, 2.0% of total-time

Operation const, time spent: 42.0ms, 1.0% of total-time

Bogosity

preprocess654.0ms (6.7%)

Algorithm

1×	egg-herbie

Rules

62×	`fma-neg`
58×	`fma-define`
48×	`sub-neg`
22×	`+-commutative`
20×	`distribute-lft-neg-in`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
255	-	-	`(log.f64 (+.f64 1 x))`
255	-	-	`(log.f64 (-.f64 1 x))`
0	-	-	`x`
0	-	-	`(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))`
0	-	-	`(+.f64 1 x)`
0	-	-	`(-.f64 1 x)`
0	-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(neg.f64 (/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))))

Outputs
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log1p.f64 (neg.f64 x)))
(/.f64 (log1p.f64 x) (log1p.f64 (neg.f64 x)))
(neg.f64 (/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (log.f64 (+.f64 1 (neg.f64 x)))))
(/.f64 (log.f64 (-.f64 1 (neg.f64 x))) (neg.f64 (log1p.f64 (neg.f64 x))))
(/.f64 (log1p.f64 x) (neg.f64 (log1p.f64 (neg.f64 x))))

Compiler

Compiled 64 to 48 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 456.0ms

Operation ival-log, time spent: 386.0ms, 85.0% of total-time

Operation ival-sub, time spent: 30.0ms, 7.0% of total-time

Operation ival-add, time spent: 25.0ms, 5.0% of total-time

Operation ival-div, time spent: 8.0ms, 2.0% of total-time

Operation const, time spent: 7.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize163.0ms (1.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Compiler

Compiled 16 to 6 computations (62.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 232.0ms

Operation composed, time spent: 114.0ms, 49.0% of total-time

Operation ival-log, time spent: 101.0ms, 44.0% of total-time

Operation ival-add, time spent: 8.0ms, 3.0% of total-time

Operation ival-div, time spent: 4.0ms, 2.0% of total-time

Operation ival-neg, time spent: 3.0ms, 1.0% of total-time

Operation const, time spent: 1.0ms, 0.0% of total-time

series7.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))>

Outputs
#<alt -1>
#<alt (-.f64 (*.f64 -1 x) 1)>
#<alt (-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)>
#<alt (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))>
#<alt (-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))>
#<alt (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))) (+.f64 (/.f64 1/2 (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))>
#<alt (+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))))) x)) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))>

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(/ (log (+ 1 (neg x))) (log (+ 1 x)))
3.0ms	x	@	inf	(/ (log (+ 1 (neg x))) (log (+ 1 x)))
1.0ms	x	@	0	(/ (log (+ 1 (neg x))) (log (+ 1 x)))

rewrite171.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`unpow-prod-down`
350×	`log-prod`
332×	`cbrt-prod`
314×	`log1p-expm1-u`
314×	`expm1-log1p-u`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	112	21
2	1490	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Outputs
1

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1610×	`unsub-neg`
782×	`fma-define`
766×	`associate-/r*`
746×	`neg-sub0`
590×	`associate-+l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	2787
1	468	2458
2	1564	2232
3	7319	2216

Stop Event

1×	node limit

Counts

13 → 45

Calls

Call 1

Inputs
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2))))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))) (+.f64 (/.f64 1/3 (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x)))) (+.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (/.f64 2 (.f64 x (log.f64 (/.f64 1 x))))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/2 (/.f64 1 (log.f64 (/.f64 1 x)))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (log.f64 (/.f64 1 x)))) (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (pow.f64 (log.f64 (/.f64 1 x)) 2))))) (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 2) (log.f64 (/.f64 1 x))))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 2) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/3 (/.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 (pow.f64 x 3) (pow.f64 (log.f64 (/.f64 1 x)) 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 2 (/.f64 1 (log.f64 (/.f64 1 x)))) (/.f64 (log.f64 -1) (pow.f64 (log.f64 (/.f64 1 x)) 2))) (.f64 (pow.f64 x 3) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 -1) (.f64 x (pow.f64 (log.f64 (/.f64 1 x)) 2)))))))))
(.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))) (+.f64 (/.f64 1/2 (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
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1

Outputs
-1
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(fma.f64 -1 x -1)
(-.f64 -1 x)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
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(-.f64 (/.f64 (-.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))))) (+.f64 (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (.f64 x (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))) (+.f64 (/.f64 1/2 (.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(.f64 -1 (+.f64 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (*.f64 x (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (/.f64 1/2 x) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))
(-.f64 (/.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (*.f64 x (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (/.f64 1/2 x) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x))
(-.f64 (/.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x) (fma.f64 (/.f64 1/2 x) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) x) (fma.f64 1/2 (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) x) (-.f64 (+.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) x)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) x) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 -1 (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (-.f64 (.f64 1/3 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 3)))))))) x)) (+.f64 (.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 1/2 (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))) 2)))))) x)) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 x)))) 2))) x)))
(fma.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (neg.f64 (/.f64 (-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 1/3 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (fma.f64 -1/2 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (+.f64 (/.f64 1/2 (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 3)))))))) x)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (+.f64 (/.f64 1/2 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x))))) (.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2)))))) x) (/.f64 1 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 x)))) 2))) x)))
(-.f64 (/.f64 (log.f64 (/.f64 -1 x)) (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (/.f64 (-.f64 (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (-.f64 (fma.f64 -1/2 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/3 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (/.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (neg.f64 x)) (-.f64 (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))))) x)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2))) x))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))) (/.f64 (-.f64 (/.f64 1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 1/3 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2)))) x)) x) (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 1/2 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (.f64 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (+.f64 1/3 (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) (.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (+.f64 (/.f64 -1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) -1/2))) (/.f64 -1/3 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))) x) (-.f64 (-.f64 (/.f64 1 (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 3))) (fma.f64 1/2 (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)) (/.f64 1/2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))))))) x) (-.f64 (/.f64 1 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) (/.f64 (log.f64 (/.f64 -1 x)) (pow.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) 2)))) x) (/.f64 (log.f64 (/.f64 -1 x)) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))))
1

eval56.0ms (0.6%)

Compiler: Compiled 3394 to 2662 computations (21.6% saved)

prune9.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Accuracy

100.0%

Counts

46 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.6%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
▶	99.5%	(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
▶	99.3%	(-.f64 -1 x)
▶	98.5%	-1

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize148.0ms (1.5%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))
✓	100.0%	(.f64 x (-.f64 (.f64 -5/12 x) 1/2))
✓	99.5%	(*.f64 -5/12 x)
✓	100.0%	(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
✓	100.0%	(.f64 x (-.f64 (.f64 -1/2 x) 1))

Compiler

Compiled 87 to 65 computations (25.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

Operation ival-mult, time spent: 34.0ms, 51.0% of total-time

Operation ival-sub, time spent: 28.0ms, 42.0% of total-time

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

series10.0ms (0.1%)

Counts

5 → 38

Calls

Call 1

Inputs
#<alt (.f64 x (-.f64 (.f64 -1/2 x) 1))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)>
#<alt (*.f64 -5/12 x)>
#<alt (.f64 x (-.f64 (.f64 -5/12 x) 1/2))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))>

Outputs
#<alt (*.f64 -1 x)>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt -1>
#<alt (-.f64 (*.f64 -1 x) 1)>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))>
#<alt (*.f64 -1/2 x)>
#<alt (*.f64 -5/12 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (*.f64 -5/12 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (*.f64 -1 x)>
#<alt (.f64 x (-.f64 (.f64 -1/2 x) 1))>
#<alt (*.f64 -5/12 (pow.f64 x 3))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))>
#<alt (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))>
#<alt (*.f64 -5/12 (pow.f64 x 3))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))>

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(* x (- (* x (- (* -5/12 x) 1/2)) 1))
1.0ms	x	@	inf	(* x (- (* -1/2 x) 1))
1.0ms	x	@	inf	(* x (- (* x (- (* -5/12 x) 1/2)) 1))
1.0ms	x	@	inf	(* x (- (* -5/12 x) 1/2))
0.0ms	x	@	0	(* x (- (* -1/2 x) 1))

rewrite130.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1630×	`prod-diff`
784×	`log1p-expm1-u`
784×	`expm1-log1p-u`
768×	`fma-neg`
198×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	107
1	264	107
2	3624	107

Stop Event

1×	node limit

Counts

5 → 126

Calls

Call 1

Inputs
(.f64 x (-.f64 (.f64 -1/2 x) 1))
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(*.f64 -5/12 x)
(.f64 x (-.f64 (.f64 -5/12 x) 1/2))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))

Outputs
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 x -1))
(+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x))
(-.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) 1)
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 -1)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (fma.f64 x -1/2 1)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/4 -1)) (fma.f64 x -1/2 1))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) x) (+.f64 (.f64 (pow.f64 x 2) 1/4) (fma.f64 x -1/2 1)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/4 -1) x) (fma.f64 x -1/2 1))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/2 -1))) 1))
(fma.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) 1) -1)
(fma.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)) (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)) -1)
(+.f64 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(+.f64 -1 (*.f64 x (fma.f64 x -1/2 -1)))
(*.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) -1))
(*.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(.f64 (+.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 1) (fma.f64 (sqrt.f64 (fma.f64 x -1/2 -1)) (sqrt.f64 x) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1)) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (-.f64 1 (.f64 (.f64 x (fma.f64 x -1/2 -1)) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1) (fma.f64 x (fma.f64 x -1/2 -1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1)) (neg.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 3))
(expm1.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 1))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(fma.f64 (fma.f64 x -1/2 -1) x -1)
(fma.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) 2) (*.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) x) -1)
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) (.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x -1/2 -1)) (*.f64 (sqrt.f64 (fma.f64 x -1/2 -1)) x) -1)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) 2)) (cbrt.f64 (fma.f64 x -1/2 -1)) -1)
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 -1))) (sqrt.f64 (fma.f64 x -1/2 -1)) -1)
(fma.f64 (*.f64 (fma.f64 x -1/2 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1)
(fma.f64 (*.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x)) (sqrt.f64 x) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (pow.f64 (*.f64 x -5/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (pow.f64 (*.f64 x -5/12) 3))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (.f64 (log.f64 (.f64 x -5/12)) 1))
(+.f64 (.f64 x (.f64 x -5/12)) (*.f64 x -1/2))
(+.f64 (.f64 (.f64 x -5/12) x) (*.f64 x -1/2))
(-.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1)
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 25/144) 1/4) (*.f64 x -5/24)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) x) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 25/144) 1/4) (*.f64 x -5/24)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 25/144 -1/4) x) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -5/12 -1/2))) 1))
(fma.f64 1 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) -1)
(fma.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(+.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 x -1))
(+.f64 (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) x) (*.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))) 1)
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1)) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1) x) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 1))

simplify131.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1336×	`fma-define`
1124×	`distribute-rgt-in`
1114×	`distribute-lft-in`
628×	`*-commutative`
572×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	5638
1	678	5576
2	1921	4790
3	7281	4790

Stop Event

1×	node limit

Counts

164 → 182

Calls

Call 1

Inputs
(*.f64 -1 x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
-1
(-.f64 (*.f64 -1 x) 1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(*.f64 -1/2 x)
(*.f64 -5/12 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -5/12 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(*.f64 -1 x)
(.f64 x (-.f64 (.f64 -1/2 x) 1))
(*.f64 -5/12 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))
(.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))
(*.f64 -5/12 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 x (.f64 x -1/2)) (*.f64 x -1))
(+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x))
(-.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) 1)
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -1/8 -1)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (fma.f64 x -1/2 1)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 1/4 -1)) (fma.f64 x -1/2 1))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -1/8 -1) x) (+.f64 (.f64 (pow.f64 x 2) 1/4) (fma.f64 x -1/2 1)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 1/4 -1) x) (fma.f64 x -1/2 1))
(pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -1/2 -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -1/2 -1))) 1))
(fma.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) 1) -1)
(fma.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)) (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)) -1)
(+.f64 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(+.f64 -1 (*.f64 x (fma.f64 x -1/2 -1)))
(*.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) -1))
(*.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(.f64 (+.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 1) (fma.f64 (sqrt.f64 (fma.f64 x -1/2 -1)) (sqrt.f64 x) -1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1)) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (-.f64 1 (.f64 (.f64 x (fma.f64 x -1/2 -1)) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1) (fma.f64 x (fma.f64 x -1/2 -1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1)) (neg.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 3))
(expm1.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 1))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(fma.f64 (fma.f64 x -1/2 -1) x -1)
(fma.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) 2) (*.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) x) -1)
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) (.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x -1/2 -1)) (*.f64 (sqrt.f64 (fma.f64 x -1/2 -1)) x) -1)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) 2)) (cbrt.f64 (fma.f64 x -1/2 -1)) -1)
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 -1))) (sqrt.f64 (fma.f64 x -1/2 -1)) -1)
(fma.f64 (*.f64 (fma.f64 x -1/2 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1)
(fma.f64 (*.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x)) (sqrt.f64 x) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(pow.f64 (*.f64 x -5/12) 1)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(pow.f64 (pow.f64 (*.f64 x -5/12) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 25/144))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(cbrt.f64 (pow.f64 (*.f64 x -5/12) 3))
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(exp.f64 (log.f64 (*.f64 x -5/12)))
(exp.f64 (.f64 (log.f64 (.f64 x -5/12)) 1))
(+.f64 (.f64 x (.f64 x -5/12)) (*.f64 x -1/2))
(+.f64 (.f64 (.f64 x -5/12) x) (*.f64 x -1/2))
(-.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1)
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 25/144) 1/4) (*.f64 x -5/24)))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) x) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 25/144) 1/4) (*.f64 x -5/24)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 25/144 -1/4) x) (fma.f64 x -5/12 1/2))
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -5/12 -1/2))) 1))
(fma.f64 1 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) -1)
(fma.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1 -1)
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(+.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 x -1))
(+.f64 (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) x) (*.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))) 1)
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1)) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1) x) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 1)
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 3)
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 2)
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 1))

Outputs
(*.f64 -1 x)
(neg.f64 x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(-.f64 -1 x)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(*.f64 (pow.f64 x 2) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x) -1/2))
(*.f64 (pow.f64 x 2) (-.f64 -1/2 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(*.f64 (pow.f64 x 2) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x) -1/2))
(*.f64 (pow.f64 x 2) (-.f64 -1/2 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(*.f64 (pow.f64 x 2) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x) -1/2))
(*.f64 (pow.f64 x 2) (-.f64 -1/2 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(*.f64 (pow.f64 x 2) (fma.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x) -1/2))
(*.f64 (pow.f64 x 2) (-.f64 -1/2 (/.f64 (+.f64 1 (/.f64 1 x)) x)))
(*.f64 -1/2 x)
(*.f64 x -1/2)
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -5/12)
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 -5/12 (pow.f64 x 2))
(*.f64 (pow.f64 x 2) -5/12)
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(*.f64 -1 x)
(neg.f64 x)
(.f64 x (-.f64 (.f64 -1/2 x) 1))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 1/2 (/.f64 1 x))))
(*.f64 x (fma.f64 x -1/2 -1))
(*.f64 -5/12 (pow.f64 x 3))
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(exp.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 1))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 1 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (fma.f64 x -1/2 -1) x -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (fma.f64 x -1/2 -1)) 1 -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) 2) (*.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) x) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) (.f64 (cbrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (fma.f64 x -1/2 -1)) (*.f64 (sqrt.f64 (fma.f64 x -1/2 -1)) x) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (fma.f64 x -1/2 -1)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (fma.f64 x -1/2 -1)) 2)) (cbrt.f64 (fma.f64 x -1/2 -1)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/2 -1))) (sqrt.f64 (fma.f64 x -1/2 -1)) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 (fma.f64 x -1/2 -1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 (fma.f64 x -1/2 -1) (sqrt.f64 x)) (sqrt.f64 x) -1)
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -5/12))) 1)
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 x -5/12) 0)
(pow.f64 (*.f64 x -5/12) 1)
(*.f64 x -5/12)
(pow.f64 (cbrt.f64 (*.f64 x -5/12)) 3)
(*.f64 x -5/12)
(pow.f64 (pow.f64 (*.f64 x -5/12) 3) 1/3)
(*.f64 x -5/12)
(pow.f64 (sqrt.f64 (*.f64 x -5/12)) 2)
(*.f64 x -5/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 25/144))
(fabs.f64 (*.f64 x -5/12))
(log.f64 (pow.f64 (exp.f64 -5/12) x))
(*.f64 x -5/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -5/12))))
(*.f64 x -5/12)
(cbrt.f64 (pow.f64 (*.f64 x -5/12) 3))
(*.f64 x -5/12)
(expm1.f64 (log1p.f64 (*.f64 x -5/12)))
(+.f64 (*.f64 x -5/12) 0)
(log1p.f64 (expm1.f64 (*.f64 x -5/12)))
(*.f64 x -5/12)
(exp.f64 (log.f64 (*.f64 x -5/12)))
(*.f64 x -5/12)
(exp.f64 (.f64 (log.f64 (.f64 x -5/12)) 1))
(*.f64 x -5/12)
(+.f64 (.f64 x (.f64 x -5/12)) (*.f64 x -1/2))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 (.f64 x -5/12) x) (*.f64 x -1/2))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(-.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(/.f64 (.f64 x (fma.f64 (pow.f64 x 3) -125/1728 -1/8)) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 25/144) 1/4) (*.f64 x -5/24)))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (+.f64 (fma.f64 (pow.f64 x 2) 25/144 1/4) (.f64 x -5/24))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (fma.f64 x -5/24 (fma.f64 (pow.f64 x 2) 25/144 1/4))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (fma.f64 (pow.f64 x 2) 25/144 (fma.f64 x -5/24 1/4))))
(/.f64 (*.f64 x (fma.f64 (pow.f64 x 2) 25/144 -1/4)) (fma.f64 x -5/12 1/2))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 25/144 -1/4) (fma.f64 x -5/12 1/2)))
(/.f64 (.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) x) (+.f64 (+.f64 (.f64 (pow.f64 x 2) 25/144) 1/4) (*.f64 x -5/24)))
(.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (+.f64 (fma.f64 (pow.f64 x 2) 25/144 1/4) (.f64 x -5/24))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (fma.f64 x -5/24 (fma.f64 (pow.f64 x 2) 25/144 1/4))))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 3) -125/1728 -1/8) (fma.f64 (pow.f64 x 2) 25/144 (fma.f64 x -5/24 1/4))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x 2) 25/144 -1/4) x) (fma.f64 x -5/12 1/2))
(*.f64 x (/.f64 (fma.f64 (pow.f64 x 2) 25/144 -1/4) (fma.f64 x -5/12 1/2)))
(pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 3)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3) 1/3)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x -5/12 -1/2))) 2)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x -5/12 -1/2)) x))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2)))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 3))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x -5/12 -1/2))))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x -5/12 -1/2))) 1))
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(fma.f64 1 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) -1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(fma.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) 1 -1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1))) (cbrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(fma.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) (sqrt.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1)) -1)
(neg.f64 (*.f64 (pow.f64 x 2) (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 (pow.f64 x 2) (neg.f64 (+.f64 5/12 (/.f64 1/2 x))))
(*.f64 x (fma.f64 x -5/12 -1/2))
(+.f64 (.f64 x (.f64 x (fma.f64 x -5/12 -1/2))) (*.f64 x -1))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(+.f64 (.f64 (.f64 x (fma.f64 x -5/12 -1/2)) x) (*.f64 -1 x))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))) 1)
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 0)
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1)) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(.f64 x (/.f64 (+.f64 -1 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3)) (+.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))))
(/.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 3) (neg.f64 x)) (+.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2)))
(/.f64 (.f64 x (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1)) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(.f64 x (/.f64 (+.f64 -1 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2)) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3) -1) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(.f64 x (/.f64 (+.f64 -1 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 3)) (+.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2))))
(/.f64 (fma.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -5/12 -1/2) 3) (neg.f64 x)) (+.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) 1) (pow.f64 (*.f64 x (fma.f64 x -5/12 -1/2)) 2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2) -1) x) (fma.f64 x (fma.f64 x -5/12 -1/2) 1))
(.f64 x (/.f64 (+.f64 -1 (pow.f64 (.f64 x (fma.f64 x -5/12 -1/2)) 2)) (fma.f64 x (fma.f64 x -5/12 -1/2) 1)))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 1)
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 3)
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3) 1/3)
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 2)
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 2))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) x))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(cbrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 3))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x -5/12 -1/2) -1) 3) (pow.f64 x 3)))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(expm1.f64 (log1p.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(+.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1)) 0)
(log1p.f64 (expm1.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(exp.f64 (log.f64 (*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))
(exp.f64 (.f64 (log.f64 (.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))) 1))
(*.f64 x (fma.f64 x (fma.f64 x -5/12 -1/2) -1))

eval71.0ms (0.7%)

Compiler: Compiled 2793 to 2207 computations (21% saved)

prune56.0ms (0.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	180	2	182
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	180	7	187

Accuracy

100.0%

Counts

187 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶	99.5%	(-.f64 (+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x)) 1)
▶	49.6%	(-.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1)
✓	99.6%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
✓	99.5%	(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
✓	99.3%	(-.f64 -1 x)
✓	98.5%	-1

Compiler

Compiled 65 to 51 computations (21.5% saved)

localize216.0ms (2.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x)) 1)
✓	100.0%	(+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))
✓	99.8%	(/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)
✓	35.6%	(*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))

Compiler

Compiled 98 to 73 computations (25.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

Operation ival-mult, time spent: 64.0ms, 50.0% of total-time

Operation ival-pow, time spent: 22.0ms, 17.0% of total-time

Operation ival-div, time spent: 20.0ms, 16.0% of total-time

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

Operation const, time spent: 5.0ms, 4.0% of total-time

Operation ival-sub, time spent: 3.0ms, 2.0% of total-time

series6.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))>
#<alt (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)>
#<alt (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))>
#<alt (-.f64 (+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x)) 1)>

Outputs
#<alt (*.f64 -1 x)>
#<alt (.f64 x (-.f64 (.f64 -1/2 x) 1))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))>
#<alt (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))>
#<alt (*.f64 -5/12 (pow.f64 x 3))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))>
#<alt (.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))>
#<alt (*.f64 -5/12 (pow.f64 x 3))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))>
#<alt (/.f64 -1 (pow.f64 x 2))>
#<alt (/.f64 (-.f64 (*.f64 -1/2 x) 1) (pow.f64 x 2))>
#<alt (/.f64 (-.f64 (*.f64 -1/2 x) 1) (pow.f64 x 2))>
#<alt (/.f64 (-.f64 (*.f64 -1/2 x) 1) (pow.f64 x 2))>
#<alt (/.f64 -1/2 x)>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))>
#<alt (/.f64 -1/2 x)>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))>
#<alt (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))>
#<alt (/.f64 -1 (pow.f64 x 2))>
#<alt (/.f64 (-.f64 (*.f64 -1/2 x) 1) (pow.f64 x 2))>
#<alt (/.f64 (-.f64 (.f64 x (-.f64 (.f64 -5/12 x) 1/2)) 1) (pow.f64 x 2))>
#<alt (/.f64 (-.f64 (.f64 x (-.f64 (.f64 -5/12 x) 1/2)) 1) (pow.f64 x 2))>
#<alt -5/12>
#<alt (.f64 -1 (+.f64 5/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12)>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12)>
#<alt -5/12>
#<alt (.f64 -1 (+.f64 5/12 (.f64 1/2 (/.f64 1 x))))>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12)>
#<alt (-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12)>
#<alt -1>
#<alt (-.f64 (*.f64 -1 x) 1)>
#<alt (-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)>
#<alt (-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))>
#<alt (*.f64 -1/2 (pow.f64 x 2))>
#<alt (.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))>
#<alt (.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))>

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (pow x 3) (+ -5/12 (/ (+ -1/2 (/ -1 x)) x)))
0.0ms	x	@	-inf	(* (pow x 3) (+ -5/12 (/ (+ -1/2 (/ -1 x)) x)))
0.0ms	x	@	inf	(* (pow x 3) (+ -5/12 (/ (+ -1/2 (/ -1 x)) x)))
0.0ms	x	@	0	(/ (+ -1/2 (/ -1 x)) x)
0.0ms	x	@	-inf	(- (+ (* (* x -1/2) x) (* -1 x)) 1)

rewrite148.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

991×	`log1p-expm1-u`
765×	`expm1-log1p-u`
264×	`associate-r`
182×	`associate-l`
141×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	133
1	334	125
2	5113	125

Stop Event

1×	node limit

Counts

4 → 141

Calls

Call 1

Inputs
(*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)
(+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))
(-.f64 (+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x)) 1)

Outputs
(+.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x))
(+.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) (.f64 (pow.f64 x 3) -5/12))
(+.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) 1) (.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) -5/12) 3) (pow.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) 3)) (+.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 (pow.f64 x 3) -5/12)) (-.f64 (.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x)) (.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 (pow.f64 x 3) -5/12)) (.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x))) (-.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728)) (+.f64 25/144 (.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2))) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728) (pow.f64 x 3)) (+.f64 25/144 (.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))))
(/.f64 (*.f64 (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2)) (pow.f64 x 3)) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(pow.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1)
(pow.f64 (*.f64 x (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3) (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))) 1))
(fma.f64 (pow.f64 x 3) -5/12 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x))
(fma.f64 -5/12 (pow.f64 x 3) (/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1)
(*.f64 (/.f64 -1 x) (+.f64 -1/2 (/.f64 -1 x)))
(*.f64 (+.f64 -1/2 (/.f64 -1 x)) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) (.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (/.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1/2 (/.f64 -1 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) x))
(.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (/.f64 -1 x)))
(*.f64 (+.f64 (/.f64 -1 x) 1/2) (/.f64 -1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1/2 (/.f64 -1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2)
(pow.f64 (/.f64 x (+.f64 -1/2 (/.f64 -1 x))) -1)
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 1))
(-.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))) 1)
(-.f64 (/.f64 25/144 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) (/.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(*.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 1)
(*.f64 1 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) (pow.f64 (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 2) (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(*.f64 (sqrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) (sqrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728) (/.f64 1 (+.f64 25/144 (.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12)))))
(*.f64 (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2)) (/.f64 1 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(/.f64 1 (/.f64 (+.f64 25/144 (*.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))) (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728)))
(/.f64 1 (/.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728) (+.f64 25/144 (*.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728) (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2) (-.f64 25/144 (/.f64 (*.f64 -5/12 (+.f64 -1/2 (/.f64 -1 x))) x))))
(/.f64 (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2)) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728)) (neg.f64 (+.f64 25/144 (*.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12)))))
(/.f64 (neg.f64 (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2))) (neg.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(/.f64 (-.f64 -125/1728 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3)) (+.f64 25/144 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2) (/.f64 (*.f64 -5/12 (+.f64 -1/2 (/.f64 -1 x))) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2) 25/144) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))
(pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 3)
(pow.f64 (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2))
(log.f64 (exp.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))))
(cbrt.f64 (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(log1p.f64 (expm1.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(exp.f64 (log.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1))
(fma.f64 (+.f64 -1/2 (/.f64 -1 x)) (/.f64 -1 x) -5/12)
(fma.f64 1 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) -5/12)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) -5/12)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) -1))
(+.f64 x (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 -1 (*.f64 x (fma.f64 x -1/2 -1)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (+.f64 x -1) 1))
(+.f64 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(+.f64 (+.f64 x -1) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) -1))
(*.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(.f64 (+.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 1) (-.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1)) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (-.f64 1 (.f64 (.f64 x (fma.f64 x -1/2 -1)) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1) (fma.f64 x (fma.f64 x -1/2 -1) 1))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) -1) (-.f64 (.f64 x (fma.f64 x -1/2 -1)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1)) (neg.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 x 2)) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 x 2)) 2) (-.f64 (.f64 (+.f64 x -1) (+.f64 x -1)) (.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (pow.f64 x 2)) 2) (.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x -1)))
(pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 3))
(expm1.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 1))
(fma.f64 x (*.f64 x -1/2) (+.f64 x -1))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x -1/2) x (+.f64 x -1))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x -1))
(fma.f64 1 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) 2) (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) (+.f64 x -1))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 (sqrt.f64 (.f64 -1/2 (pow.f64 x 2))) (sqrt.f64 (.f64 -1/2 (pow.f64 x 2))) (+.f64 x -1))

simplify115.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1276×	`distribute-lft-in`
1252×	`distribute-rgt-in`
818×	`cancel-sign-sub-inv`
690×	`fma-neg`
584×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	366	7826
1	880	7577
2	3145	7286

Stop Event

1×	node limit

Counts

189 → 222

Calls

Call 1

Inputs
(*.f64 -1 x)
(.f64 x (-.f64 (.f64 -1/2 x) 1))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))
(.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1))
(*.f64 -5/12 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))
(.f64 (pow.f64 x 3) (-.f64 (.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12))
(*.f64 -5/12 (pow.f64 x 3))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (*.f64 1/2 (/.f64 1 x)))))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 (pow.f64 x 3) (+.f64 5/12 (+.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 1 (pow.f64 x 2))))))
(/.f64 -1 (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/2 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/2 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/2 x) 1) (pow.f64 x 2))
(/.f64 -1/2 x)
(*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))
(/.f64 -1/2 x)
(*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))
(*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x))
(/.f64 -1 (pow.f64 x 2))
(/.f64 (-.f64 (*.f64 -1/2 x) 1) (pow.f64 x 2))
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 -5/12 x) 1/2)) 1) (pow.f64 x 2))
(/.f64 (-.f64 (.f64 x (-.f64 (.f64 -5/12 x) 1/2)) 1) (pow.f64 x 2))
-5/12
(.f64 -1 (+.f64 5/12 (.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12)
(-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12)
-5/12
(.f64 -1 (+.f64 5/12 (.f64 1/2 (/.f64 1 x))))
(-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12)
(-.f64 (*.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1 x)) x)) 5/12)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(*.f64 -1/2 (pow.f64 x 2))
(.f64 -1 (.f64 (pow.f64 x 2) (+.f64 1/2 (/.f64 1 x))))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(.f64 (pow.f64 x 2) (-.f64 (.f64 -1 (/.f64 (+.f64 1 (/.f64 1 x)) x)) 1/2))
(+.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x))
(+.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) (.f64 (pow.f64 x 3) -5/12))
(+.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) 1) (.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 x 3) -5/12) 3) (pow.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) 3)) (+.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 (pow.f64 x 3) -5/12)) (-.f64 (.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x)) (.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) -5/12) (.f64 (pow.f64 x 3) -5/12)) (.f64 (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x) (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x))) (-.f64 (.f64 (pow.f64 x 3) -5/12) (/.f64 (.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x)))
(/.f64 (.f64 (pow.f64 x 3) (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728)) (+.f64 25/144 (.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))))
(/.f64 (*.f64 (pow.f64 x 3) (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2))) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(/.f64 (.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728) (pow.f64 x 3)) (+.f64 25/144 (.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))))
(/.f64 (*.f64 (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2)) (pow.f64 x 3)) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(pow.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1)
(pow.f64 (*.f64 x (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 3)) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3) (pow.f64 (pow.f64 x 3) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))) 1))
(fma.f64 (pow.f64 x 3) -5/12 (/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x))
(fma.f64 -5/12 (pow.f64 x 3) (/.f64 (*.f64 (+.f64 -1/2 (/.f64 -1 x)) (pow.f64 x 3)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1)
(*.f64 (/.f64 -1 x) (+.f64 -1/2 (/.f64 -1 x)))
(*.f64 (+.f64 -1/2 (/.f64 -1 x)) (/.f64 -1 x))
(*.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) (.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (/.f64 -1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 -1/2 (/.f64 -1 x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) x))
(.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (/.f64 -1 x)))
(*.f64 (+.f64 (/.f64 -1 x) 1/2) (/.f64 -1 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 -1/2 (/.f64 -1 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) 1) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 -1 x))) (cbrt.f64 x)))
(pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2)
(pow.f64 (/.f64 x (+.f64 -1/2 (/.f64 -1 x))) -1)
(neg.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 1))
(-.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))) 1)
(-.f64 (/.f64 25/144 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) (/.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(*.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 1)
(*.f64 1 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(*.f64 (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) (pow.f64 (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 2) (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(*.f64 (sqrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) (sqrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728) (/.f64 1 (+.f64 25/144 (.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12)))))
(*.f64 (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2)) (/.f64 1 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(/.f64 1 (/.f64 (+.f64 25/144 (*.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))) (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728)))
(/.f64 1 (/.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728) (+.f64 25/144 (*.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))))
(/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728) (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2) (-.f64 25/144 (/.f64 (*.f64 -5/12 (+.f64 -1/2 (/.f64 -1 x))) x))))
(/.f64 (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2)) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3) -125/1728)) (neg.f64 (+.f64 25/144 (*.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12)))))
(/.f64 (neg.f64 (+.f64 25/144 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2))) (neg.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(/.f64 (-.f64 -125/1728 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 3)) (+.f64 25/144 (+.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2) (/.f64 (*.f64 -5/12 (+.f64 -1/2 (/.f64 -1 x))) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) 2) 25/144) (-.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12))
(pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 1)
(pow.f64 (cbrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 3)
(pow.f64 (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 2)
(sqrt.f64 (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2))
(log.f64 (exp.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)))))
(cbrt.f64 (pow.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(log1p.f64 (expm1.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(exp.f64 (log.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))))
(exp.f64 (*.f64 (log.f64 (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1))
(fma.f64 (+.f64 -1/2 (/.f64 -1 x)) (/.f64 -1 x) -5/12)
(fma.f64 1 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x) -5/12)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) -5/12)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) (sqrt.f64 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x)) -5/12)
(+.f64 x (+.f64 (*.f64 -1/2 (pow.f64 x 2)) -1))
(+.f64 x (-.f64 (*.f64 -1/2 (pow.f64 x 2)) 1))
(+.f64 -1 (*.f64 x (fma.f64 x -1/2 -1)))
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x -1))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (.f64 (+.f64 x -1) 1))
(+.f64 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(+.f64 (+.f64 x -1) (*.f64 -1/2 (pow.f64 x 2)))
(*.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) -1))
(*.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(*.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2) (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1))))
(.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) -1) (/.f64 1 (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(.f64 (+.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 1) (-.f64 (sqrt.f64 (*.f64 x (fma.f64 x -1/2 -1))) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1)) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1) (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1) (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (-.f64 1 (.f64 (.f64 x (fma.f64 x -1/2 -1)) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1) (fma.f64 x (fma.f64 x -1/2 -1) 1))
(/.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) -1) (-.f64 (.f64 x (fma.f64 x -1/2 -1)) -1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (.f64 x (fma.f64 x -1/2 -1)) 2) (fma.f64 x (fma.f64 x -1/2 -1) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x -1/2 -1)) 2) -1)) (neg.f64 (fma.f64 x (fma.f64 x -1/2 -1) 1)))
(/.f64 (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 x 2)) 3) (pow.f64 (+.f64 x -1) 3)) (+.f64 (pow.f64 (.f64 -1/2 (pow.f64 x 2)) 2) (-.f64 (.f64 (+.f64 x -1) (+.f64 x -1)) (.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x -1)))))
(/.f64 (-.f64 (pow.f64 (.f64 -1/2 (pow.f64 x 2)) 2) (.f64 (+.f64 x -1) (+.f64 x -1))) (-.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x -1)))
(pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 3)
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 2)
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 2))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1) 3))
(expm1.f64 (log.f64 (*.f64 x (fma.f64 x -1/2 -1))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 x -1/2 -1) -1)) 1))
(fma.f64 x (*.f64 x -1/2) (+.f64 x -1))
(fma.f64 x (fma.f64 x -1/2 -1) -1)
(fma.f64 (*.f64 x -1/2) x (+.f64 x -1))
(fma.f64 1 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x -1))
(fma.f64 1 (*.f64 x (fma.f64 x -1/2 -1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) 2) (cbrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) 2) (cbrt.f64 (.f64 -1/2 (pow.f64 x 2))) (+.f64 x -1))
(fma.f64 (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) (sqrt.f64 (.f64 x (fma.f64 x -1/2 -1))) -1)
(fma.f64 (sqrt.f64 (.f64 -1/2 (pow.f64 x 2))) (sqrt.f64 (.f64 -1/2 (pow.f64 x 2))) (+.f64 x -1))

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

eval102.0ms (1%)

Compiler: Compiled 4452 to 3596 computations (19.2% saved)

prune33.0ms (0.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	222	7	229

Accuracy

100.0%

Counts

229 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.5%	(-.f64 (+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x)) 1)
✓	99.6%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
✓	99.5%	(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
✓	99.3%	(-.f64 -1 x)
▶	4.2%	(*.f64 -1/2 (pow.f64 x 2))
✓	98.5%	-1

Compiler

Compiled 55 to 43 computations (21.8% saved)

localize32.0ms (0.3%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 -1/2 (pow.f64 x 2))

Compiler

Compiled 13 to 10 computations (23.1% saved)

Precisions

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

Operation ival-pow, time spent: 5.0ms, 65.0% of total-time

Operation ival-mult, time spent: 2.0ms, 26.0% of total-time

Operation const, time spent: 1.0ms, 13.0% of total-time

series1.0ms (0%)

Counts

1 → 0

Calls

Call 1

Inputs
#<alt (*.f64 -1/2 (pow.f64 x 2))>

Outputs

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* -1/2 (pow x 2))
0.0ms	x	@	inf	(* -1/2 (pow x 2))
0.0ms	x	@	-inf	(* -1/2 (pow x 2))

rewrite171.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`associate-r`
742×	`associate-l`
490×	`unpow-prod-down`
397×	`log1p-expm1-u`
286×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	69	16
2	713	16
3	7802	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 -1/2 (pow.f64 x 2))

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

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2242×	`fma-neg`
630×	`distribute-lft-out`
540×	`associate-+l-`
532×	`associate-+r-`
444×	`associate--l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	512
1	164	512
2	410	512
3	1721	227
4	5158	227
5	5983	227
6	7472	227

Stop Event

1×	node limit

Counts

25 → 27

Calls

Call 1

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

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

eval7.0ms (0.1%)

Compiler: Compiled 278 to 238 computations (14.4% saved)

prune10.0ms (0.1%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	27	7	34

Accuracy

100.0%

Counts

34 → 7

Alt Table

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Status	Accuracy	Program
✓	100.0%	(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓	99.5%	(-.f64 (+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x)) 1)
✓	99.6%	(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
✓	99.5%	(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
✓	99.3%	(-.f64 -1 x)
✓	4.2%	(*.f64 -1/2 (pow.f64 x 2))
✓	98.5%	-1

Compiler

Compiled 128 to 99 computations (22.7% saved)

regimes8.0ms (0.1%)

Counts

9 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1)
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))

Calls

2 calls:

5.0ms	x
2.0ms	(/.f64 (log.f64 (-.f64 1 x)) (log.f64 (+.f64 1 x)))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (+.f64 (.f64 (.f64 x -1/2) x) (*.f64 -1 x)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(*.f64 -1/2 (pow.f64 x 2))
(-.f64 (*.f64 (pow.f64 x 3) (+.f64 -5/12 (/.f64 (+.f64 -1/2 (/.f64 -1 x)) x))) 1)

Outputs
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
99.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
-1
(-.f64 -1 x)

Outputs
(-.f64 -1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
-1

Outputs
-1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
98.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

18×	`sub-neg`
18×	`*-commutative`
18×	`+-commutative`
6×	`neg-sub0`
6×	`mul-1-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	113
1	46	113
2	58	113
3	70	113
4	71	113

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 -1 x)
-1

Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 -5/12 x) 1/2)) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (*.f64 x -5/12) 1/2)) 1)) 1)
(+.f64 (.f64 x (+.f64 (.f64 x (-.f64 (*.f64 x -5/12) 1/2)) -1)) -1)
(-.f64 (.f64 x (-.f64 (.f64 -1/2 x) 1)) 1)
(-.f64 (.f64 x (-.f64 (.f64 x -1/2) 1)) 1)
(+.f64 (.f64 x (+.f64 (.f64 x -1/2) -1)) -1)
(-.f64 -1 x)
-1

Compiler

Compiled 37 to 29 computations (21.6% saved)

soundness130.0ms (1.3%)

Rules

1610×	`unsub-neg`
782×	`fma-define`
766×	`associate-/r*`
746×	`neg-sub0`
590×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	141	2787
1	468	2458
2	1564	2232
3	7319	2216
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 63 to 46 computations (27% saved)

end0.0ms (0%)

preprocess61.0ms (0.6%)

Compiler: Compiled 100 to 76 computations (24% saved)

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104

analyze661.0ms (6.8%)

sample6.2s (64.1%)

preprocess654.0ms (6.7%)

eval0.0ms (0%)

prune1.0ms (0%)

localize163.0ms (1.7%)

series7.0ms (0.1%)

rewrite171.0ms (1.8%)

simplify93.0ms (1%)

eval56.0ms (0.6%)

prune9.0ms (0.1%)

localize148.0ms (1.5%)

series10.0ms (0.1%)

rewrite130.0ms (1.3%)

simplify131.0ms (1.3%)

eval71.0ms (0.7%)

prune56.0ms (0.6%)

localize216.0ms (2.2%)

series6.0ms (0.1%)

rewrite148.0ms (1.5%)

simplify115.0ms (1.2%)

eval102.0ms (1%)

prune33.0ms (0.3%)

localize32.0ms (0.3%)

series1.0ms (0%)

rewrite171.0ms (1.8%)

simplify74.0ms (0.8%)

eval7.0ms (0.1%)

prune10.0ms (0.1%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

simplify6.0ms (0.1%)

soundness130.0ms (1.3%)

end0.0ms (0%)

preprocess61.0ms (0.6%)

Profiling

Iter	Nodes	Cost
0	19	124
1	40	104
2	61	104
3	102	104
4	151	104
5	203	104
6	235	104
7	254	104
8	274	104
9	276	104