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)

sample1.0s (39.2%)

Results

538.0ms	5754×	body	256	valid
277.0ms	2049×	body	512	valid
212.0ms	453×	body	1024	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess19.0ms (0.7%)

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)

simplify11.0ms (0.4%)

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

11.9b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.9b	(-.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))
✓	2.7b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

Compiler

Compiled 23 to 17 computations (26.1% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite48.0ms (1.8%)

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)))))))

simplify47.0ms (1.8%)

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)))

eval46.0ms (1.7%)

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

prune25.0ms (0.9%)

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

Counts

147 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	10.8b	(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
	10.8b	(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
▶	36.2b	(/.f64 -1 (*.f64 x x))
▶	27.3b	(/.f64 -1 x)
✓	11.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶	27.8b	(-.f64 (-.f64 1 x) (/.f64 1 x))
▶	27.9b	(-.f64 1 (/.f64 1 x))
	35.9b	(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)
✓	1.7b	(-.f64 x (+.f64 1 x))

Compiler

Compiled 31 to 20 computations (35.5% saved)

series2.0ms (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	@	0	(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
0.0ms	x	@	-inf	(/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x))
0.0ms	x	@	-inf	(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)
0.0ms	x	@	inf	(/.f64 (/.f64 (-.f64 x (+.f64 1 x)) (+.f64 1 x)) x)

rewrite67.0ms (2.5%)

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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(+.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)))))

simplify75.0ms (2.8%)

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

localize2.0ms (0.1%)

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

localize5.0ms (0.2%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 -1 (*.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0.1%)

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))

rewrite34.0ms (1.3%)

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))))))))

simplify32.0ms (1.2%)

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 (0.3%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

eval94.0ms (3.6%)

Compiler: Compiled 4745 to 2920 computations (38.5% saved)

prune58.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	264	2	266
Fresh	0	2	2
Picked	1	0	1
Done	3	2	5
Total	268	6	274

Error

Counts

274 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (/.f64 -1 (+.f64 1 x)) x)
▶	10.8b	(/.f64 (-.f64 x (+.f64 1 x)) (*.f64 x (+.f64 1 x)))
▶	27.9b	(/.f64 (-.f64 x 1) x)
✓	36.2b	(/.f64 -1 (*.f64 x x))
✓	27.3b	(/.f64 -1 x)
▶	35.9b	(neg.f64 (pow.f64 x -2))

Compiler

Compiled 41 to 29 computations (29.3% saved)

localize5.0ms (0.2%)

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

localize4.0ms (0.2%)

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 (1.5%)

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))))))))

simplify36.0ms (1.4%)

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 (0.4%)

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)))
	1.7b	(-.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
0.0ms	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 (2.1%)

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))))))) 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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)))))

simplify58.0ms (2.2%)

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

localize33.0ms (1.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite45.0ms (1.7%)

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)))))))

simplify40.0ms (1.5%)

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)))

eval162.0ms (6.1%)

Compiler: Compiled 7913 to 5206 computations (34.2% saved)

prune70.0ms (2.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	489	2	491
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	490	7	497

Error

Counts

497 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 -1 (+.f64 1 x)) x)
✓	27.9b	(/.f64 (-.f64 x 1) x)
▶	0.3b	(/.f64 -1 (*.f64 x (+.f64 1 x)))
✓	36.2b	(/.f64 -1 (*.f64 x x))
✓	27.3b	(/.f64 -1 x)
✓	35.9b	(neg.f64 (pow.f64 x -2))
	62.1b	1

Compiler

Compiled 39 to 29 computations (25.6% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (+.f64 1 x))
✓	0.3b	(/.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	@	inf	(/.f64 -1 (*.f64 x (+.f64 1 x)))
0.0ms	x	@	0	(/.f64 -1 (*.f64 x (+.f64 1 x)))
0.0ms	x	@	-inf	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite47.0ms (1.8%)

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)))))))

simplify43.0ms (1.6%)

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)))

eval28.0ms (1.1%)

Compiler: Compiled 1514 to 877 computations (42.1% saved)

prune18.0ms (0.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	132	2	134
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	132	9	141

Error

Counts

141 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (/.f64 -1 (+.f64 1 x)) x)
	36.0b	(/.f64 (/.f64 -1 x) x)
✓	27.9b	(/.f64 (-.f64 x 1) x)
✓	0.3b	(/.f64 -1 (*.f64 x (+.f64 1 x)))
✓	36.2b	(/.f64 -1 (*.f64 x x))
✓	27.3b	(/.f64 -1 x)
	4.2b	(.f64 (/.f64 (/.f64 -1 x) (-.f64 1 (.f64 x x))) (-.f64 1 x))
✓	35.9b	(neg.f64 (pow.f64 x -2))
	62.1b	1

Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes24.0ms (0.9%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
8.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))`

Compiler

Compiled 106 to 73 computations (31.1% saved)

regimes8.0ms (0.3%)

Counts

8 → 1

Calls

Call 1

Inputs
1
(/.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:

6.0ms

Results

Error	Segments	Branch
0.3b	1	`x`

Compiler

Compiled 41 to 28 computations (31.7% saved)

regimes16.0ms (0.6%)

Counts

7 → 3

Calls

Call 1

Inputs
1
(/.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:

15.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch31.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.3857770120927507e-9	3136.979639267899
14.0ms	-138.93203300843936	-0.0001485682870300304

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 318 to 239 computations (24.8% saved)

regimes16.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.3b	3	`x`

Compiler

Compiled 27 to 18 computations (33.3% saved)

bsearch31.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	1.3857770120927507e-9	3136.979639267899
14.0ms	-138.93203300843936	-0.0001485682870300304

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 280 to 201 computations (28.2% saved)

regimes14.0ms (0.5%)

Counts

5 → 3

Calls

Call 1

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch31.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	1.3857770120927507e-9	3136.979639267899
14.0ms	-138.93203300843936	-0.0001485682870300304

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 280 to 201 computations (28.2% saved)

regimes15.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.6b	3	`x`

Compiler

Compiled 17 to 12 computations (29.4% saved)

bsearch30.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
15.0ms	1.3857770120927507e-9	3136.979639267899
15.0ms	-138.93203300843936	-0.0001485682870300304

Results

27.0ms

304×

body

256

valid

Compiler

Compiled 280 to 220 computations (21.4% saved)

regimes5.0ms (0.2%)

Accuracy

Total -34.8b remaining (-127.6%)

Threshold costs -34.8b (-127.6%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(/.f64 -1 x)

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
27.3b	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`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	32	160
1	43	160
2	52	160
3	58	160
4	62	160
5	64	160
6	65	160

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 120 to 82 computations (31.7% saved)

soundness0.0ms (0%)

end61.0ms (2.3%)

Compiler: Compiled 113 to 74 computations (34.5% 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%)

sample1.0s (39.2%)

preprocess19.0ms (0.7%)

simplify11.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite48.0ms (1.8%)

simplify47.0ms (1.8%)

eval46.0ms (1.7%)

prune25.0ms (0.9%)

localize11.0ms (0.4%)

series2.0ms (0.1%)

rewrite67.0ms (2.5%)

simplify75.0ms (2.8%)

localize2.0ms (0.1%)

localize5.0ms (0.2%)

localize4.0ms (0.1%)

series1.0ms (0.1%)

rewrite34.0ms (1.3%)

simplify32.0ms (1.2%)

localize7.0ms (0.3%)

eval94.0ms (3.6%)

prune58.0ms (2.2%)

localize5.0ms (0.2%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite40.0ms (1.5%)

simplify36.0ms (1.4%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite56.0ms (2.1%)

simplify58.0ms (2.2%)

localize33.0ms (1.3%)

series2.0ms (0.1%)

rewrite45.0ms (1.7%)

simplify40.0ms (1.5%)

eval162.0ms (6.1%)

prune70.0ms (2.6%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite47.0ms (1.8%)

simplify43.0ms (1.6%)

eval28.0ms (1.1%)

prune18.0ms (0.7%)

regimes24.0ms (0.9%)

regimes8.0ms (0.3%)

regimes16.0ms (0.6%)

bsearch31.0ms (1.2%)

regimes16.0ms (0.6%)

bsearch31.0ms (1.2%)

regimes14.0ms (0.5%)

bsearch31.0ms (1.2%)

regimes15.0ms (0.6%)

bsearch30.0ms (1.1%)

regimes5.0ms (0.2%)

simplify8.0ms (0.3%)

soundness0.0ms (0%)

end61.0ms (2.3%)

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