Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
62.5%	62.5%	37.5%	0%	0%	0%	0%	4
81.3%	81.2%	18.7%	0%	0%	0%	0%	5
90.6%	90.6%	9.4%	0%	0%	0%	0%	6
95.3%	95.3%	4.7%	0%	0%	0%	0%	7
97.7%	97.6%	2.3%	0%	0%	0%	0%	8
98.8%	98.8%	1.2%	0%	0%	0%	0%	9
99.4%	99.4%	0.6%	0%	0%	0%	0%	10
99.7%	99.7%	0.3%	0%	0%	0%	0%	11
99.9%	99.8%	0.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample847.0ms (27.2%)

Results

464.0ms	5722×	body	256	valid
278.0ms	2111×	body	512	valid
89.0ms	423×	body	1024	valid

Bogosity

preprocess18.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	26	13
4	36	13
5	54	13
6	91	13
7	125	13
8	171	13
9	207	13
10	233	13
11	235	13
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

39×	`fma-def_binary64`
32×	`fma-neg_binary64`
15×	`cancel-sign-sub-inv_binary64`
12×	`sub-neg_binary64`
10×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	26	13
4	36	13
5	54	13
6	91	13
7	125	13
8	171	13
9	207	13
10	233	13
11	235	13

Stop Event

1×

saturated

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 37 to 29 computations (21.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

13.2b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 x 1))
✓	1.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
0.0ms	x	@	-inf	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
0.0ms	x	@	0	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
0.0ms	x	@	inf	(/.f64 1 (+.f64 x 1))
0.0ms	x	@	0	(/.f64 1 (+.f64 x 1))

rewrite51.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`pow1_binary64`
896×	`log1p-expm1-u_binary64`
896×	`expm1-log1p-u_binary64`
895×	`add-log-exp_binary64`
89×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	168	20
2	2604	20

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (+.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (.f64 x (+.f64 1 x)) (-.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x (+.f64 1 x))) (neg.f64 (.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (.f64 (+.f64 -1 (neg.f64 x)) 1)) (.f64 (+.f64 -1 (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (.f64 (+.f64 1 x) -1)) (.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -1 (neg.f64 x)) (.f64 (+.f64 -1 (neg.f64 x)) -1)) (.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (.f64 (/.f64 -1 x) (/.f64 -1 x)) (.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 1 x)) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (/.f64 1 (cbrt.f64 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 1 x)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (/.f64 1 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 1 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)) (-.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 x (+.f64 1 x)) (-.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)) (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)) (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3)) (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 x (+.f64 1 x))) (neg.f64 (*.f64 x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 x -3))) (neg.f64 (+.f64 (+.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2)) (/.f64 (/.f64 1 (+.f64 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (pow.f64 x -2))) (neg.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 -1 (neg.f64 x)) 1)) (*.f64 (+.f64 -1 (neg.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -1 (neg.f64 x)) (*.f64 (+.f64 -1 (neg.f64 x)) -1)) (*.f64 (+.f64 -1 (neg.f64 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 x) -3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (+.f64 1 x) -2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 x) -2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 1 (+.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2) (/.f64 -1 x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) (cbrt.f64 (pow.f64 (+.f64 1 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) -1/2) (pow.f64 (+.f64 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 1 x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 1 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log1p.f64 x)))))))

simplify46.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-def_binary64`
467×	`associate-/l*_binary64`
371×	`associate-/r*_binary64`
276×	`unswap-sqr_binary64`
229×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1456
1	551	1393
2	1944	1187

Stop Event

1×	node limit

Counts

91 → 146

Calls

Call 1

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

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

eval45.0ms (1.5%)

Compiler: Compiled 2200 to 1674 computations (23.9% saved)

prune22.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	139	7	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	8	147

Error

0.0b

Counts

147 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.8b	(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
	12.8b	(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
▶	32.4b	(/.f64 -1 (*.f64 x x))
▶	31.1b	(/.f64 -1 x)
✓	13.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶	31.7b	(-.f64 (-.f64 1 x) (/.f64 1 x))
▶	31.7b	(-.f64 1 (/.f64 1 x))
	32.1b	(neg.f64 (pow.f64 x -2))

Compiler

Compiled 116 to 84 computations (27.6% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x))
✓	0.0b	(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
✓	1.5b	(-.f64 x (+.f64 1 x))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite65.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

623×	`prod-diff_binary64`
459×	`log-prod_binary64`
327×	`fma-def_binary64`
304×	`pow-prod-down_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	36
1	169	30
2	2832	30

Stop Event

1×	node limit

Counts

3 → 226

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (fma.f64 -1 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (.f64 (fma.f64 -1 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (fma.f64 -1 x -1) 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (+.f64 (fma.f64 -1 x -1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 -1 (+.f64 x 1) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (+.f64 x 1)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -1 x -1) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x -1) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3))))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1))) (+.f64 1 (pow.f64 x 3)) (.f64 (/.f64 1 (fma.f64 x (+.f64 x -1) 1)) (+.f64 1 (pow.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x 1 (neg.f64 (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 1 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 x (neg.f64 (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 1 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (neg.f64 (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 1 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 1 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 1 x))) (-.f64 1 (.f64 x x)) (.f64 (/.f64 1 (-.f64 1 x)) (-.f64 1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (cbrt.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (sqrt.f64 (-.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (/.f64 1 (fma.f64 x x (.f64 (+.f64 x 1) (+.f64 (+.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x 1) 2)) (/.f64 1 (+.f64 (+.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (.f64 (+.f64 x 1) (+.f64 (+.f64 x x) 1))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 x x) 1) (-.f64 (.f64 x x) (pow.f64 (+.f64 x 1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)) (fma.f64 x x (.f64 (+.f64 x 1) (+.f64 (+.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x 1) 2)) (+.f64 (+.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) (neg.f64 (fma.f64 x x (.f64 (+.f64 x 1) (+.f64 (+.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (+.f64 x 1) 2))) (neg.f64 (+.f64 (+.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x -1) 2) (fma.f64 x x (.f64 (+.f64 x -1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (fma.f64 -1 x -1) 3)) (fma.f64 x x (-.f64 (pow.f64 (fma.f64 -1 x -1) 2) (.f64 x (fma.f64 -1 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x -1) 2) (.f64 x x)) (+.f64 (+.f64 x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x x) (pow.f64 (fma.f64 -1 x -1) 2)) (-.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 x x (.f64 (+.f64 x 1) (+.f64 (+.f64 x x) 1))) (-.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 x x) 1) (-.f64 (.f64 x x) (pow.f64 (+.f64 x 1) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 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Outputs

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exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -1) (+.f64 x 1)) (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))) 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x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 (-.f64 x (+.f64 x 1)) (cbrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (sqrt.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))) (#(struct:change 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(expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (-.f64 x (+.f64 x 1)) 3) (pow.f64 (+.f64 x 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 1 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 x (+.f64 x 1)) (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) -2) (/.f64 x (cbrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) -1/2) (/.f64 x (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (cbrt.f64 x) (cbrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x) -1)))))

simplify76.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

540×	`unswap-sqr_binary64`
323×	`div-sub_binary64`
265×	`fma-neg_binary64`
227×	`log-prod_binary64`
200×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	528	262
1	1287	262
2	5115	262

Stop Event

1×	node limit

Counts

262 → 241

Calls

Call 1

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

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

localize3.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 -1 (*.f64 x x))
0.0ms	x	@	inf	(/.f64 -1 (*.f64 x x))
0.0ms	x	@	-inf	(/.f64 -1 (*.f64 x x))

rewrite36.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`pow1_binary64`
443×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
424×	`add-log-exp_binary64`
424×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	6
2	1216	6

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (neg.f64 (pow.f64 x -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (neg.f64 (pow.f64 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) (cbrt.f64 (/.f64 1 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (pow.f64 x 4))) (cbrt.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (pow.f64 x -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (neg.f64 (pow.f64 x -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (pow.f64 x -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (neg.f64 (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (neg.f64 (pow.f64 x -2))))))))

simplify44.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

689×	`log-prod_binary64`
376×	`distribute-rgt-in_binary64`
348×	`distribute-lft-in_binary64`
340×	`associate-l_binary64`
310×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	240
1	124	207
2	441	204
3	2650	204

Stop Event

1×	node limit

Counts

34 → 25

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 1 x) (/.f64 1 x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`pow1_binary64`
786×	`add-log-exp_binary64`
786×	`log1p-expm1-u_binary64`
786×	`expm1-log1p-u_binary64`
771×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	141	10
2	2089	10

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (neg.f64 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (neg.f64 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 x) (*.f64 (/.f64 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) (fma.f64 (/.f64 -1 x) 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 1 x))) (cbrt.f64 (pow.f64 x -2)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) (fma.f64 (neg.f64 (pow.f64 x -1/2)) (pow.f64 x -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 -1 x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (-.f64 1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2) (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x -3)) (/.f64 1 (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x -2)) (/.f64 1 (+.f64 (-.f64 1 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 x -1/2)) (-.f64 (sqrt.f64 (-.f64 1 x)) (pow.f64 x -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 x) x))) (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (-.f64 1 x) (/.f64 1 x)) (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x -3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x -2)) (+.f64 (-.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 x -3))) (neg.f64 (+.f64 (pow.f64 (-.f64 1 x) 2) (+.f64 (pow.f64 x -2) (/.f64 (-.f64 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (pow.f64 x -2))) (neg.f64 (+.f64 (-.f64 1 x) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) x) (*.f64 (+.f64 1 (fma.f64 x x x)) 1)) (*.f64 (+.f64 1 (fma.f64 x x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (*.f64 (+.f64 1 x) 1)) (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (pow.f64 x 3)) (neg.f64 x)) (*.f64 (+.f64 1 (fma.f64 x x x)) -1)) (*.f64 (+.f64 1 (fma.f64 x x x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 1 (*.f64 x x)) (neg.f64 x)) (*.f64 (+.f64 1 x) -1)) (*.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (+.f64 x (/.f64 1 x)) 3)) (+.f64 1 (+.f64 (*.f64 (+.f64 x (/.f64 1 x)) (+.f64 x (/.f64 1 x))) (+.f64 x (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (-.f64 1 x) 3) (pow.f64 (/.f64 -1 x) 3)) (+.f64 (pow.f64 (-.f64 1 x) 2) (-.f64 (*.f64 (/.f64 -1 x) (/.f64 -1 x)) (*.f64 (-.f64 1 x) (/.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 x (/.f64 1 x)) (+.f64 x (/.f64 1 x)))) (+.f64 1 (+.f64 x (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 1 x) 2) (*.f64 (/.f64 -1 x) (/.f64 -1 x))) (-.f64 (-.f64 1 x) (/.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (-.f64 1 x) (/.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 1 x)) 2) (cbrt.f64 (-.f64 1 x)) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 1 x)) (sqrt.f64 (-.f64 1 x)) (/.f64 -1 x))))))

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

773×	`times-frac_binary64`
626×	`fma-def_binary64`
403×	`distribute-rgt-in_binary64`
354×	`distribute-lft-in_binary64`
328×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	144	910
1	439	879
2	1714	834

Stop Event

1×	node limit

Counts

56 → 73

Calls

Call 1

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

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

eval124.0ms (4%)

Compiler: Compiled 5902 to 3762 computations (36.3% saved)

prune68.0ms (2.2%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	335	4	339
Fresh	0	2	2
Picked	0	1	1
Done	1	4	5
Total	336	11	347

Error

Counts

347 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (/.f64 -1 (+.f64 1 x)) x)
▶	13.2b	(/.f64 (-.f64 (/.f64 x (+.f64 x 1)) 1) x)
▶	12.8b	(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
▶	31.7b	(/.f64 (-.f64 x 1) x)
✓	32.4b	(/.f64 -1 (*.f64 x x))
✓	31.1b	(/.f64 -1 x)
✓	13.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
✓	31.7b	(-.f64 (-.f64 1 x) (/.f64 1 x))
✓	31.7b	(-.f64 1 (/.f64 1 x))
	32.1b	(neg.f64 (pow.f64 x -2))
▶	62.0b	(neg.f64 x)

Compiler

Compiled 122 to 88 computations (27.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 -1 (+.f64 1 x))
✓	0.1b	(/.f64 (/.f64 -1 (+.f64 1 x)) x)

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

817×	`pow1_binary64`
762×	`add-log-exp_binary64`
761×	`log1p-expm1-u_binary64`
761×	`expm1-log1p-u_binary64`
747×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	151	17
2	2099	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 1 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (*.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 2) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (*.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) 1) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 1) (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (sqrt.f64 x)) (/.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 (+.f64 1 x) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 (+.f64 1 x)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (neg.f64 (log1p.f64 x)) (log.f64 (neg.f64 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 2) (/.f64 -1 (cbrt.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) (sqrt.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (cbrt.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -1 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 1 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 -1) (log1p.f64 x)))))))

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

687×	`times-frac_binary64`
626×	`associate-/l*_binary64`
356×	`associate-/r*_binary64`
344×	`associate-*l/_binary64`
272×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	1294
1	474	1062
2	1496	893

Stop Event

1×	node limit

Counts

83 → 127

Calls

Call 1

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

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

localize2.0ms (0.1%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 x 1) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`pow1_binary64`
590×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
578×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	113	7
2	1613	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (-.f64 1 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 2) (cbrt.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (*.f64 (cbrt.f64 (+.f64 x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) (sqrt.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x -1)) (*.f64 (sqrt.f64 (+.f64 x -1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 x) 1) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) 1) (/.f64 (sqrt.f64 (+.f64 x -1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x -1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x -1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x -1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x -1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x -1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x -1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (/.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (/.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x -1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (/.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 1 (/.f64 1 x))))))))

simplify39.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

424×	`log-prod_binary64`
347×	`associate-l_binary64`
309×	`associate-r_binary64`
214×	`fma-neg_binary64`
201×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	314
1	194	314
2	640	314
3	3963	314

Stop Event

1×	node limit

Counts

44 → 40

Calls

Call 1

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

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

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (+.f64 x 1))
✓	0.0b	(/.f64 (-.f64 (/.f64 x (+.f64 x 1)) 1) x)
✓	1.9b	(-.f64 (/.f64 x (+.f64 x 1)) 1)

Compiler

Compiled 27 to 18 computations (33.3% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite70.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`prod-diff_binary64`
423×	`log-prod_binary64`
327×	`exp-prod_binary64`
256×	`pow-prod-down_binary64`
216×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	30
1	167	30
2	2582	30

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (/.f64 x (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2) (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) -1) (/.f64 1 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (+.f64 1 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) -1) (/.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (-.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (+.f64 1 (/.f64 x (+.f64 x 1)))) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) -1) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) -1) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (-.f64 1 (*.f64 (/.f64 x (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) -1) (+.f64 1 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) -1)) (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (+.f64 1 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) -1)) (neg.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) (+.f64 1 (/.f64 x (+.f64 x 1)))) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) (+.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))) 2)) (cbrt.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))) (sqrt.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 (/.f64 1 (+.f64 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 x (+.f64 x 1)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x 1)) x -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> 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(/.f64 x (+.f64 x 1))) (sqrt.f64 x)) (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 x)) (neg.f64 (/.f64 1 x)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 (/.f64 1 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1 (+.f64 (/.f64 x (+.f64 x 1)) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (+.f64 x 1) x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (fma.f64 -1 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/3 (-.f64 (log.f64 x) (log1p.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/2 (-.f64 (log.f64 x) (log1p.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (-.f64 (log.f64 x) (log1p.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (*.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 x) 1) (*.f64 (log1p.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 x (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (/.f64 x (+.f64 x 1))) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) 2) (cbrt.f64 (+.f64 1 (/.f64 x (+.f64 x 1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (hypot.f64 1 (sqrt.f64 (/.f64 x (+.f64 x 1)))) -1)))))

simplify117.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

594×	`unswap-sqr_binary64`
243×	`sqr-pow_binary64`
235×	`exp-prod_binary64`
225×	`fma-neg_binary64`
205×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	5882
1	1237	5581
2	3931	3919

Stop Event

1×	node limit

Counts

258 → 359

Calls

Call 1

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

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

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 1 x))
✓	0.0b	(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
	1.5b	(-.f64 x (+.f64 1 x))

Compiler

Compiled 27 to 17 computations (37% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x (+.f64 1 x))
0.0ms	x	@	-inf	(*.f64 x (+.f64 1 x))
0.0ms	x	@	0	(*.f64 x (+.f64 1 x))
0.0ms	x	@	0	(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
0.0ms	x	@	-inf	(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))

rewrite56.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

467×	`log-prod_binary64`
407×	`fma-def_binary64`
364×	`exp-prod_binary64`
294×	`pow-prod-down_binary64`
226×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	167	23
2	2749	18

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (+.f64 x 1)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 x -1) (fma.f64 x x x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (+.f64 x 1)) (/.f64 1 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (*.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) 2) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (*.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))) (sqrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 x (+.f64 x 1))) (/.f64 1 (neg.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x 1)) (-.f64 1 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 (-.f64 x (+.f64 x 1)) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x x)) (-.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) 1) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (/.f64 (-.f64 x (+.f64 x 1)) (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 (-.f64 x (+.f64 x 1)) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) x) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (+.f64 x 1)) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (+.f64 x 1)) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (cbrt.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2)) (/.f64 (sqrt.f64 (-.f64 x (+.f64 x 1))) (cbrt.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) 2) (hypot.f64 x (sqrt.f64 x))) (/.f64 (cbrt.f64 (-.f64 x (+.f64 x 1))) (hypot.f64 x (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 1 (/.f64 (+.f64 x 1) x)) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 x) (/.f64 x (+.f64 x 1)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1))) 2) (cbrt.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1))) (sqrt.f64 (/.f64 1 (+.f64 x 1))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) -2) (/.f64 x (cbrt.f64 (fma.f64 x x x))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 x x x) -1/2) (/.f64 x (hypot.f64 x (sqrt.f64 x))) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) -1) (/.f64 (cbrt.f64 x) (+.f64 x 1)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x -1/2) (/.f64 (sqrt.f64 x) (+.f64 x 1)) (neg.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (fma.f64 x x (-.f64 (pow.f64 x 4) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) x) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x (+.f64 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x x x))) 2)) (cbrt.f64 (log.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x x x)))) (sqrt.f64 (log.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x x x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 x (sqrt.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x 1 (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (pow.f64 x 3/2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1) (*.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3/2) (sqrt.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x) x)))))

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def_binary64`
719×	`associate-/l*_binary64`
454×	`distribute-rgt-in_binary64`
443×	`unswap-sqr_binary64`
437×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	332	1964
1	796	1870
2	2522	1574

Stop Event

1×	node limit

Counts

157 → 206

Calls

Call 1

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

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

eval322.0ms (10.3%)

Compiler: Compiled 14600 to 9987 computations (31.6% saved)

prune164.0ms (5.3%)

Pruning

13 alts after pruning (4 fresh and 9 done)

	Pruned	Kept	Total
New	847	3	850
Fresh	0	1	1
Picked	1	0	1
Done	0	9	9
Total	848	13	861

Error

Counts

861 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 -1 (+.f64 1 x)) x)
▶	32.2b	(/.f64 (/.f64 -1 x) x)
✓	13.2b	(/.f64 (-.f64 (/.f64 x (+.f64 x 1)) 1) x)
✓	31.7b	(/.f64 (-.f64 x 1) x)
▶	0.4b	(/.f64 -1 (*.f64 x (+.f64 1 x)))
✓	32.4b	(/.f64 -1 (*.f64 x x))
✓	31.1b	(/.f64 -1 x)
✓	13.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
✓	31.7b	(-.f64 (-.f64 1 x) (/.f64 1 x))
✓	31.7b	(-.f64 1 (/.f64 1 x))
▶	32.1b	(neg.f64 (pow.f64 x -2))
✓	62.0b	(neg.f64 x)
	62.1b	1

Compiler

Compiled 82 to 61 computations (25.6% saved)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 7 computations (30% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 1 x))
✓	0.4b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite43.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`pow1_binary64`
688×	`add-log-exp_binary64`
687×	`log1p-expm1-u_binary64`
687×	`expm1-log1p-u_binary64`
676×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	148	10
2	1897	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 2) (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)) (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (*.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) (hypot.f64 (sqrt.f64 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (neg.f64 (+.f64 x 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) (/.f64 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (pow.f64 (+.f64 x (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 x (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (+.f64 x (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 -1 x)) (log1p.f64 x)))))))

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-def_binary64`
413×	`associate-l_binary64`
379×	`associate-r_binary64`
323×	`distribute-rgt-neg-out_binary64`
318×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	593
1	243	489
2	746	420
3	3785	416

Stop Event

1×	node limit

Counts

36 → 62

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 -1 x) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite39.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`pow1_binary64`
500×	`add-sqr-sqrt_binary64`
482×	`add-log-exp_binary64`
482×	`log1p-expm1-u_binary64`
482×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	7
2	1377	7

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (/.f64 1 x) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 2) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (*.f64 (cbrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 -1) x) (/.f64 (sqrt.f64 -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 -1 x)) (*.f64 (sqrt.f64 (/.f64 -1 x)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) 1) (/.f64 (sqrt.f64 (/.f64 -1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 -1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 -1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 -1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 -1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 -1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -1 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 -1) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (/.f64 1 x) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -1 (*.f64 x x))))))))

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

624×	`log-prod_binary64`
370×	`log-div_binary64`
311×	`fma-neg_binary64`
295×	`associate-l_binary64`
269×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	341
1	238	338
2	695	330
3	3621	329

Stop Event

1×	node limit

Counts

45 → 40

Calls

Call 1

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

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

eval39.0ms (1.2%)

Compiler: Compiled 1916 to 1151 computations (39.9% saved)

prune25.0ms (0.8%)

Pruning

12 alts after pruning (3 fresh and 9 done)

	Pruned	Kept	Total
New	172	2	174
Fresh	0	1	1
Picked	0	1	1
Done	3	8	11
Total	175	12	187

Error

Counts

187 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(/.f64 (/.f64 -1 (+.f64 1 x)) x)
✓	32.2b	(/.f64 (/.f64 -1 x) x)
✓	31.7b	(/.f64 (-.f64 x 1) x)
	0.4b	(/.f64 -1 (+.f64 (*.f64 x x) x))
✓	32.4b	(/.f64 -1 (*.f64 x x))
✓	31.1b	(/.f64 -1 x)
✓	13.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
✓	31.7b	(-.f64 1 (/.f64 1 x))
	4.1b	(.f64 (/.f64 -1 (.f64 (-.f64 1 (*.f64 x x)) x)) (-.f64 1 x))
✓	32.1b	(neg.f64 (pow.f64 x -2))
✓	62.0b	(neg.f64 x)
	62.1b	1

Compiler

Compiled 78 to 57 computations (26.9% saved)

regimes22.0ms (0.7%)

Counts

17 → 1

Calls

Call 1

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

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

Calls

2 calls:

13.0ms	x
5.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))`

Compiler

Compiled 124 to 83 computations (33.1% saved)

regimes8.0ms (0.2%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 50 to 32 computations (36% saved)

regimes9.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
0.4b	1	`x`

Compiler

Compiled 43 to 29 computations (32.6% saved)

regimes16.0ms (0.5%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 36 to 24 computations (33.3% saved)

bsearch28.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.1045097622372102e-7	8246.59869360773
13.0ms	-7.078329298727104	-0.007196433170465167

Results

24.0ms

288×

body

256

valid

Compiler

Compiled 302 to 227 computations (24.8% saved)

regimes15.0ms (0.5%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch28.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	1.1045097622372102e-7	8246.59869360773
12.0ms	-7.078329298727104	-0.007196433170465167

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 266 to 209 computations (21.4% saved)

regimes13.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch28.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.1045097622372102e-7	8246.59869360773
13.0ms	-7.078329298727104	-0.007196433170465167

Results

25.0ms

288×

body

256

valid

Compiler

Compiled 266 to 209 computations (21.4% saved)

regimes5.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(/.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
31.1b	1	`x`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes4.0ms (0.1%)

Accuracy

Total -0.6b remaining (-0.9%)

Threshold costs -0.6b (-0.9%)

Counts

2 → 1

Calls

Call 1

Inputs
1
(neg.f64 x)

Outputs
(neg.f64 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
62.0b	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	140
1	42	140
2	51	140
3	56	140
4	59	140
5	61	140
6	62	140

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 -1 (+.f64 (*.f64 x x) x))
(/.f64 -1 (*.f64 x (+.f64 1 x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 1) (-.f64 (-.f64 1 x) (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 3422735716801577/4503599627370496) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 3422735716801577/4503599627370496) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (.f64 x x))))
(/.f64 -1 x)
(neg.f64 x)
1

Outputs
(/.f64 (/.f64 -1 (+.f64 1 x)) x)
(/.f64 -1 (+.f64 (*.f64 x x) x))
(/.f64 -1 (+.f64 x (*.f64 x x)))
(/.f64 -1 (*.f64 x (+.f64 1 x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 1) (-.f64 (-.f64 1 x) (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 1) (+.f64 (-.f64 1 x) (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 3422735716801577/4503599627370496) (-.f64 1 (/.f64 1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 (/.f64 -1 x) x) (if (<=.f64 x 3422735716801577/4503599627370496) (+.f64 1 (/.f64 -1 x)) (/.f64 (/.f64 -1 x) x)))
(if (<=.f64 x -1) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 3422735716801577/4503599627370496) (-.f64 1 (/.f64 1 x)) (/.f64 -1 (.f64 x x))))
(if (<=.f64 x -1) (/.f64 -1 (.f64 x x)) (if (<=.f64 x 3422735716801577/4503599627370496) (+.f64 1 (/.f64 -1 x)) (/.f64 -1 (.f64 x x))))
(/.f64 -1 x)
(neg.f64 x)
1

Compiler

Compiled 107 to 75 computations (29.9% saved)

soundness0.0ms (0%)

end61.0ms (2%)

Compiler: Compiled 99 to 66 computations (33.3% saved)

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	26	13
4	36	13
5	54	13
6	91	13
7	125	13
8	171	13
9	207	13
10	233	13
11	235	13
0	1	1

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	26	13
4	36	13
5	54	13
6	91	13
7	125	13
8	171	13
9	207	13
10	233	13
11	235	13

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	26	13
4	36	13
5	54	13
6	91	13
7	125	13
8	171	13
9	207	13
10	233	13
11	235	13
0	1	1

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	26	13
4	36	13
5	54	13
6	91	13
7	125	13
8	171	13
9	207	13
10	233	13
11	235	13

Details

analyze4.0ms (0.1%)

sample847.0ms (27.2%)

preprocess18.0ms (0.6%)

simplify14.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series2.0ms (0.1%)

rewrite51.0ms (1.6%)

simplify46.0ms (1.5%)

eval45.0ms (1.5%)

prune22.0ms (0.7%)

localize11.0ms (0.4%)

series3.0ms (0.1%)

rewrite65.0ms (2.1%)

simplify76.0ms (2.5%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite36.0ms (1.1%)

simplify44.0ms (1.4%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite48.0ms (1.5%)

simplify38.0ms (1.2%)

eval124.0ms (4%)

prune68.0ms (2.2%)

localize7.0ms (0.2%)

series2.0ms (0%)

rewrite67.0ms (2.2%)

simplify61.0ms (1.9%)

localize2.0ms (0.1%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite40.0ms (1.3%)

simplify39.0ms (1.2%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite70.0ms (2.2%)

simplify117.0ms (3.8%)

localize10.0ms (0.3%)

series2.0ms (0.1%)

rewrite56.0ms (1.8%)

simplify60.0ms (1.9%)

eval322.0ms (10.3%)

prune164.0ms (5.3%)

localize5.0ms (0.1%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite43.0ms (1.4%)

simplify40.0ms (1.3%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite39.0ms (1.2%)

simplify38.0ms (1.2%)

eval39.0ms (1.2%)

prune25.0ms (0.8%)

regimes22.0ms (0.7%)

regimes8.0ms (0.2%)

regimes9.0ms (0.3%)

regimes16.0ms (0.5%)

bsearch28.0ms (0.9%)

regimes15.0ms (0.5%)

bsearch28.0ms (0.9%)

regimes13.0ms (0.4%)

bsearch28.0ms (0.9%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

simplify8.0ms (0.2%)

soundness0.0ms (0%)

end61.0ms (2%)

Profiling

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	26	13
4	36	13
5	54	13
6	91	13
7	125	13
8	171	13
9	207	13
10	233	13
11	235	13
0	1	1

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	26	13
4	36	13
5	54	13
6	91	13
7	125	13
8	171	13
9	207	13
10	233	13
11	235	13