Details

analyze4.0ms (0.2%)

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
25%	25%	75%	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 9 to 7 computations (22.2% saved)

sample726.0ms (33.1%)

Results

715.0ms

8256×

body

256

valid

Bogosity

preprocess57.0ms (2.6%)

Algorithm

2×	egg-herbie

Rules

476×	`fma-def_binary64`
327×	`fma-neg_binary64`
238×	`div-sub_binary64`
156×	`times-frac_binary64`
146×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	29	10
5	39	10
6	52	10
7	69	10
8	88	10
9	122	10
10	158	10
11	200	10
12	292	10
13	423	10
14	725	10
15	1553	10
16	2233	10
17	2775	10
18	2958	10
19	3094	10
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify48.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

476×	`fma-def_binary64`
327×	`fma-neg_binary64`
238×	`div-sub_binary64`
156×	`times-frac_binary64`
146×	`associate-/l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	15	10
3	21	10
4	29	10
5	39	10
6	52	10
7	69	10
8	88	10
9	122	10
10	158	10
11	200	10
12	292	10
13	423	10
14	725	10
15	1553	10
16	2233	10
17	2775	10
18	2958	10
19	3094	10

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 11 computations (31.3% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
735×	`add-log-exp_binary64`
722×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	137	10
2	1971	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

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

Outputs

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

simplify42.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

386×	`div-sub_binary64`
318×	`fma-neg_binary64`
309×	`fma-def_binary64`
260×	`distribute-rgt-neg-out_binary64`
246×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	699
1	330	598
2	1100	506
3	4678	506

Stop Event

1×	node limit

Counts

45 → 67

Calls

Call 1

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

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

eval17.0ms (0.8%)

Compiler: Compiled 822 to 630 computations (23.4% saved)

prune9.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	61	6	67
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	61	7	68

Error

Counts

68 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	0.0b	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
▶	30.3b	(+.f64 (*.f64 2 x) 1)
▶	32.1b	(+.f64 -1 (/.f64 -2 x))
▶	0.1b	(*.f64 (/.f64 1 (-.f64 1 x)) (+.f64 x 1))
	31.2b	1
	33.2b	-1

Compiler

Compiled 46 to 38 computations (17.4% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 23 to 17 computations (26.1% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite49.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`pow1_binary64`
828×	`log1p-expm1-u_binary64`
828×	`expm1-log1p-u_binary64`
826×	`add-log-exp_binary64`
810×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	163	17
2	2341	17

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

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

Outputs

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

simplify45.0ms (2%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/r*_binary64`
603×	`fma-def_binary64`
590×	`associate-/l*_binary64`
558×	`unswap-sqr_binary64`
287×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	1476
1	591	1217
2	2097	1134

Stop Event

1×	node limit

Counts

91 → 128

Calls

Call 1

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

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

localize5.0ms (0.2%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize5.0ms (0.2%)

Compiler: Compiled 12 to 9 computations (25% saved)

localize14.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	0.0b	(-.f64 (+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x))) 1)
✓	3.4b	(+.f64 1 (/.f64 (+.f64 x 1) (-.f64 1 x)))

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`prod-diff_binary64`
521×	`fma-def_binary64`
418×	`log-prod_binary64`
250×	`fma-neg_binary64`
236×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	198	23
2	3116	23

Stop Event

1×	node limit

Counts

2 → 174

Calls

Call 1

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

Outputs

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

simplify114.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

601×	`cancel-sign-sub-inv_binary64`
529×	`unswap-sqr_binary64`
295×	`distribute-rgt-neg-in_binary64`
274×	`distribute-lft-neg-in_binary64`
242×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	3636
1	910	3549
2	3095	3547

Stop Event

1×	node limit

Counts

198 → 269

Calls

Call 1

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

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

eval212.0ms (9.7%)

Compiler: Compiled 7761 to 5984 computations (22.9% saved)

prune95.0ms (4.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	463	1	464
Fresh	0	2	2
Picked	1	0	1
Done	1	3	4
Total	465	6	471

Error

Counts

471 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
▶	0.0b	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
✓	30.3b	(+.f64 (*.f64 2 x) 1)
✓	32.1b	(+.f64 -1 (/.f64 -2 x))
	31.2b	1
	33.2b	-1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 18 computations (28% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`pow1_binary64`
884×	`log1p-expm1-u_binary64`
884×	`expm1-log1p-u_binary64`
883×	`add-log-exp_binary64`
83×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	163	20
2	2410	20

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify46.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

526×	`associate-*l/_binary64`
440×	`distribute-rgt-in_binary64`
421×	`associate-/l*_binary64`
412×	`unswap-sqr_binary64`
411×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	1308
1	631	1276
2	2016	1269

Stop Event

1×	node limit

Counts

104 → 138

Calls

Call 1

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

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

eval73.0ms (3.4%)

Compiler: Compiled 1863 to 1434 computations (23% saved)

prune17.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	137	7	144

Error

Counts

144 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
▶	29.9b	(/.f64 1 (+.f64 1 (*.f64 x -2)))
✓	30.3b	(+.f64 (*.f64 2 x) 1)
✓	32.1b	(+.f64 -1 (/.f64 -2 x))
	31.2b	1
	33.2b	-1

Compiler

Compiled 42 to 35 computations (16.7% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 1 (*.f64 x -2)))

Compiler

Compiled 19 to 15 computations (21.1% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 1 (+.f64 1 (*.f64 x -2)))
0.0ms	x	@	inf	(/.f64 1 (+.f64 1 (*.f64 x -2)))
0.0ms	x	@	-inf	(/.f64 1 (+.f64 1 (*.f64 x -2)))

rewrite59.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

700×	`pow1_binary64`
653×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
641×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	149	8
2	1831	8

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

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

simplify40.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

350×	`associate-l_binary64`
345×	`associate-/l/_binary64`
325×	`fma-neg_binary64`
308×	`associate-r_binary64`
266×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	534
1	279	451
2	827	400
3	3878	400

Stop Event

1×	node limit

Counts

34 → 58

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 2 x) 1)
(fma.f64 2 x 1)
(+.f64 (.f64 2 x) (+.f64 (.f64 4 (pow.f64 x 2)) 1))
(fma.f64 2 x (fma.f64 4 (*.f64 x x) 1))
(fma.f64 2 x (fma.f64 x (*.f64 x 4) 1))
(+.f64 (.f64 2 x) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 1 (*.f64 8 (pow.f64 x 3)))))
(fma.f64 2 x (+.f64 (fma.f64 4 (.f64 x x) 1) (.f64 8 (pow.f64 x 3))))
(fma.f64 2 x (fma.f64 4 (*.f64 x x) (fma.f64 8 (pow.f64 x 3) 1)))
(fma.f64 2 x (fma.f64 x (*.f64 x 4) (fma.f64 8 (pow.f64 x 3) 1)))
(+.f64 1 (.f64 x (+.f64 (.f64 x (+.f64 (*.f64 x 8) 4)) 2)))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)))
(-.f64 (/.f64 -1/2 x) (/.f64 1/4 (*.f64 x x)))
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/2 x))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/2 x)))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/16 (pow.f64 x 4))))))
(-.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 4)))))
(-.f64 (/.f64 -1/2 x) (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/16 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x))))
(/.f64 -1/2 x)
(neg.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x)))
(-.f64 (/.f64 -1/2 x) (/.f64 1/4 (*.f64 x x)))
(+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/2 x))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/2 x))))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (-.f64 (/.f64 -1/2 x) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/4 (*.f64 x x)) (/.f64 -1/2 x)))
(neg.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(neg.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/4 (*.f64 x x)) (/.f64 1/16 (pow.f64 x 4))))))
(-.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/4 (*.f64 x x)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 4)))))
(-.f64 (/.f64 -1/2 x) (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/16 (pow.f64 x 4))) (/.f64 1/4 (*.f64 x x))))
(+.f64 (/.f64 -1/8 (pow.f64 x 3)) (+.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/16 (pow.f64 x 4)) (/.f64 (/.f64 1/4 x) x))))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 x -2 1))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(*.f64 1 (/.f64 1 (fma.f64 x -2 1)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(*.f64 (/.f64 1 (fma.f64 x -2 1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -2 1))) (cbrt.f64 (pow.f64 (fma.f64 x -2 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 1) -2)) (cbrt.f64 (fma.f64 x -2 1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x -2 1))))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -2 1))) (cbrt.f64 (pow.f64 (fma.f64 x -2 1) -2)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 1) -2)) (cbrt.f64 (fma.f64 x -2 1)))
(*.f64 (pow.f64 (fma.f64 x -2 1) -1/2) (pow.f64 (fma.f64 x -2 1) -1/2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 x -2 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -2 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x -2 1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x -2 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 x -2 1)) -1))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(.f64 (/.f64 1 (+.f64 1 (pow.f64 (.f64 x -2) 3))) (+.f64 1 (+.f64 (pow.f64 (.f64 x -2) 2) (.f64 2 x))))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 x 3) -8))) (+.f64 (+.f64 1 (pow.f64 (.f64 x -2) 2)) (.f64 2 x)))
(/.f64 (fma.f64 2 x (fma.f64 4 (*.f64 x x) 1)) (fma.f64 (pow.f64 x 3) -8 1))
(/.f64 (fma.f64 2 x (fma.f64 x (*.f64 x 4) 1)) (fma.f64 (pow.f64 x 3) -8 1))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -2) 2))) (+.f64 1 (*.f64 2 x)))
(.f64 (/.f64 1 (-.f64 1 (pow.f64 (.f64 x -2) 2))) (fma.f64 2 x 1))
(/.f64 (fma.f64 2 x 1) (-.f64 1 (.f64 x (.f64 x 4))))
(/.f64 (fma.f64 2 x 1) (+.f64 1 (.f64 (.f64 x x) -4)))
(/.f64 (fma.f64 2 x 1) (+.f64 1 (.f64 x (.f64 x -4))))
(pow.f64 (fma.f64 x -2 1) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(pow.f64 (/.f64 1 (fma.f64 x -2 1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x -2 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -2 1))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(pow.f64 (pow.f64 (fma.f64 x -2 1) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(sqrt.f64 (pow.f64 (fma.f64 x -2 1) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x -2 1)) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 x -2 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -2 1)) 0)
(/.f64 1 (fma.f64 x -2 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -2))))

eval46.0ms (2.1%)

Compiler: Compiled 714 to 565 computations (20.9% saved)

prune8.0ms (0.4%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	58	7	65

Error

Counts

65 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 1 x) (+.f64 1 x)))
✓	29.9b	(/.f64 1 (+.f64 1 (*.f64 x -2)))
✓	30.3b	(+.f64 (*.f64 2 x) 1)
✓	32.1b	(+.f64 -1 (/.f64 -2 x))
	31.2b	1
	33.2b	-1

Compiler

Compiled 42 to 35 computations (16.7% saved)

regimes10.0ms (0.4%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 66 to 52 computations (21.2% saved)

regimes28.0ms (1.3%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch56.0ms (2.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
42.0ms	1.0736518715755763e-14	225933.996417933
14.0ms	-1691302976.8889155	-0.0007169295217352154

Results

52.0ms

336×

body

256

valid

Compiler

Compiled 306 to 261 computations (14.7% saved)

regimes12.0ms (0.5%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch35.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
18.0ms	1.0736518715755763e-14	225933.996417933
17.0ms	-1691302976.8889155	-0.0007169295217352154

Results

28.0ms

336×

body

256

valid

Compiler

Compiled 222 to 198 computations (10.8% saved)

regimes9.0ms (0.4%)

Accuracy

Total -61.6b remaining (-4432.8%)

Threshold costs -61.6b (-4432.8%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch34.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	1.0736518715755763e-14	225933.996417933
17.0ms	-1691302976.8889155	-0.0007169295217352154

Results

30.0ms

336×

body

256

valid

Compiler

Compiled 138 to 135 computations (2.2% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	86
1	32	86
2	35	86
3	37	86
4	38	86

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Outputs
(/.f64 (+.f64 x 1) (-.f64 1 x))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 (*.f64 2 x) 1) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1080863910568919/2251799813685248) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) (+.f64 1 (*.f64 x 2)) (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) (+.f64 -1 (/.f64 -2 x)) (if (<=.f64 x 1) 1 (+.f64 -1 (/.f64 -2 x))))
(if (<=.f64 x -1) -1 (if (<=.f64 x 1) 1 -1))
-1

Compiler

Compiled 66 to 53 computations (19.7% saved)

soundness0.0ms (0%)

end45.0ms (2%)

Compiler: Compiled 62 to 49 computations (21% saved)

Details

analyze4.0ms (0.2%)

sample726.0ms (33.1%)

preprocess57.0ms (2.6%)

simplify48.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0.1%)

rewrite41.0ms (1.9%)

simplify42.0ms (1.9%)

eval17.0ms (0.8%)

prune9.0ms (0.4%)

localize11.0ms (0.5%)

series2.0ms (0.1%)

rewrite49.0ms (2.2%)

simplify45.0ms (2%)

localize5.0ms (0.2%)

localize5.0ms (0.2%)

localize14.0ms (0.6%)

series2.0ms (0.1%)

rewrite63.0ms (2.9%)

simplify114.0ms (5.2%)

eval212.0ms (9.7%)

prune95.0ms (4.3%)

localize9.0ms (0.4%)

series2.0ms (0.1%)

rewrite77.0ms (3.5%)

simplify46.0ms (2.1%)

eval73.0ms (3.4%)

prune17.0ms (0.8%)

localize7.0ms (0.3%)

series1.0ms (0.1%)

rewrite59.0ms (2.7%)

simplify40.0ms (1.8%)

eval46.0ms (2.1%)

prune8.0ms (0.4%)

regimes10.0ms (0.4%)

regimes28.0ms (1.3%)

bsearch56.0ms (2.6%)

regimes12.0ms (0.5%)

bsearch35.0ms (1.6%)

regimes9.0ms (0.4%)

bsearch34.0ms (1.6%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end45.0ms (2%)

Profiling