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)

sample754.0ms (42.9%)

Results

744.0ms

8256×

body

256

valid

Bogosity

preprocess56.0ms (3.2%)

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)

simplify46.0ms (2.6%)

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)

localize7.0ms (0.4%)

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

rewrite44.0ms (2.5%)

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))))))))

simplify46.0ms (2.6%)

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))))

eval18.0ms (1%)

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

prune10.0ms (0.6%)

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))
▶	17.3b	(/.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))
▶	30.6b	(+.f64 (*.f64 2 x) 1)
▶	31.1b	(+.f64 1 (*.f64 2 (fma.f64 x x x)))
▶	32.2b	(+.f64 -1 (/.f64 -2 x))
	31.5b	1
	33.0b	-1

Compiler

Compiled 47 to 36 computations (23.4% saved)

localize5.0ms (0.3%)

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

localize7.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite41.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`pow1_binary64`
630×	`add-log-exp_binary64`
629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
619×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	143	9
2	1720	9

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

Inputs
(+.f64 1 (*.f64 2 (fma.f64 x x x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2 (fma.f64 x x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (.f64 -2 (fma.f64 x x x)))) (/.f64 (.f64 4 (pow.f64 (fma.f64 x x x) 2)) (+.f64 1 (.f64 -2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 2 (fma.f64 x x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 2 (fma.f64 x x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) 2) (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) (sqrt.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (.f64 8 (pow.f64 (fma.f64 x x x) 3))) (/.f64 1 (+.f64 1 (-.f64 (.f64 4 (pow.f64 (fma.f64 x x x) 2)) (.f64 2 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (.f64 4 (pow.f64 (fma.f64 x x x) 2))) (/.f64 1 (+.f64 1 (.f64 -2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (.f64 4 (pow.f64 (fma.f64 x x x) 2)) (.f64 2 (fma.f64 x x x)))) (+.f64 1 (.f64 8 (pow.f64 (fma.f64 x x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (.f64 -2 (fma.f64 x x x))) (-.f64 1 (.f64 4 (pow.f64 (fma.f64 x x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (.f64 8 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (-.f64 (.f64 4 (pow.f64 (fma.f64 x x x) 2)) (.f64 2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (.f64 8 (pow.f64 (fma.f64 x x x) 3))) (+.f64 (.f64 4 (pow.f64 (fma.f64 x x x) 2)) (+.f64 1 (.f64 -2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 4 (pow.f64 (fma.f64 x x x) 2))) (+.f64 1 (.f64 -2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (.f64 8 (pow.f64 (fma.f64 x x x) 3)))) (neg.f64 (+.f64 1 (-.f64 (.f64 4 (pow.f64 (fma.f64 x x x) 2)) (.f64 2 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (.f64 4 (pow.f64 (fma.f64 x x x) 2)))) (neg.f64 (+.f64 1 (.f64 -2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 4 (pow.f64 (fma.f64 x x x) 2)) 1) (-.f64 (.f64 2 (fma.f64 x x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (fma.f64 x x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (fma.f64 x x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (fma.f64 x x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (fma.f64 x x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 2 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x x) 2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (fma.f64 x x x))) 2) (cbrt.f64 (.f64 2 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 2 (fma.f64 x x x))) (sqrt.f64 (*.f64 2 (fma.f64 x x x))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 2 (fma.f64 x x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (+.f64 1 (*.f64 -2 (fma.f64 x x x)))) (/.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)) (+.f64 1 (*.f64 -2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 2 (fma.f64 x x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 2 (fma.f64 x x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) 2) (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) (sqrt.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 8 (pow.f64 (fma.f64 x x x) 3))) (/.f64 1 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)) (*.f64 2 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (*.f64 4 (pow.f64 (fma.f64 x x x) 2))) (/.f64 1 (+.f64 1 (*.f64 -2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)) (*.f64 2 (fma.f64 x x x)))) (+.f64 1 (*.f64 8 (pow.f64 (fma.f64 x x x) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (*.f64 -2 (fma.f64 x x x))) (-.f64 1 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 8 (pow.f64 (fma.f64 x x x) 3))) (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)) (*.f64 2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 8 (pow.f64 (fma.f64 x x x) 3))) (+.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)) (+.f64 1 (*.f64 -2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 4 (pow.f64 (fma.f64 x x x) 2))) (+.f64 1 (*.f64 -2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (*.f64 8 (pow.f64 (fma.f64 x x x) 3)))) (neg.f64 (+.f64 1 (-.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)) (*.f64 2 (fma.f64 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)))) (neg.f64 (+.f64 1 (*.f64 -2 (fma.f64 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 4 (pow.f64 (fma.f64 x x x) 2)) 1) (-.f64 (*.f64 2 (fma.f64 x x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 2 (fma.f64 x x x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 2 (fma.f64 x x x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 2 (fma.f64 x x x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 2 (fma.f64 x x x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 2 (fma.f64 x x x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 2 (fma.f64 x x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 2 (fma.f64 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 2 (fma.f64 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (fma.f64 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 x x x) 2 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 2 (fma.f64 x x x))) 2) (cbrt.f64 (*.f64 2 (fma.f64 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 2 (fma.f64 x x x))) (sqrt.f64 (*.f64 2 (fma.f64 x x x))) 1)))))

simplify41.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

615×	`fma-neg_binary64`
413×	`cancel-sign-sub-inv_binary64`
388×	`associate-l_binary64`
365×	`associate-r_binary64`
260×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	659
1	211	602
2	697	590
3	4519	575

Stop Event

1×	node limit

Counts

44 → 48

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

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

localize5.0ms (0.3%)

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

localize12.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (*.f64 x x))
✓	0.0b	(*.f64 (+.f64 1 x) (+.f64 1 x))
✓	17.1b	(/.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))

Compiler

Compiled 34 to 20 computations (41.2% saved)

series3.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite58.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`prod-diff_binary64`
434×	`log-prod_binary64`
317×	`pow-prod-down_binary64`
291×	`fma-def_binary64`
230×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	185	24
2	2786	24

Stop Event

1×	node limit

Counts

3 → 182

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

419×	`associate-*l/_binary64`
309×	`associate-*r/_binary64`
306×	`cancel-sign-sub-inv_binary64`
228×	`sqr-pow_binary64`
191×	`exp-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	423	2636
1	1074	2490
2	3606	2358

Stop Event

1×	node limit

Counts

218 → 262

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

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

eval109.0ms (6.2%)

Compiler: Compiled 5197 to 3274 computations (37% saved)

prune64.0ms (3.6%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	2	2
Picked	0	1	1
Done	0	4	4
Total	310	7	317

Error

Counts

317 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	17.3b	(/.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))
✓	30.6b	(+.f64 (*.f64 2 x) 1)
✓	31.1b	(+.f64 1 (*.f64 2 (fma.f64 x x x)))
✓	32.2b	(+.f64 -1 (/.f64 -2 x))
	31.5b	1
	33.0b	-1

Compiler

Compiled 47 to 36 computations (23.4% saved)

eval0.0ms (0%)

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

prune5.0ms (0.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	17.3b	(/.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))
✓	30.6b	(+.f64 (*.f64 2 x) 1)
✓	31.1b	(+.f64 1 (*.f64 2 (fma.f64 x x x)))
✓	32.2b	(+.f64 -1 (/.f64 -2 x))
	31.5b	1
	33.0b	-1

Compiler

Compiled 47 to 36 computations (23.4% saved)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	0	0
Done	5	5
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(/.f64 (+.f64 x 1) (-.f64 1 x))
✓	17.3b	(/.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (-.f64 1 (.f64 x x)))
✓	30.6b	(+.f64 (*.f64 2 x) 1)
✓	31.1b	(+.f64 1 (*.f64 2 (fma.f64 x x x)))
✓	32.2b	(+.f64 -1 (/.f64 -2 x))
	31.5b	1
	33.0b	-1

Compiler

Compiled 47 to 36 computations (23.4% saved)

regimes8.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

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 51 to 37 computations (27.5% saved)

regimes12.0ms (0.7%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch58.0ms (3.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.15950286217172832	78927674.54145509
13.0ms	-0.9283769931404975	-3.843254637936201e-7

Results

23.0ms

288×

body

256

valid

Compiler

Compiled 264 to 225 computations (14.8% saved)

regimes10.0ms (0.6%)

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:

9.0ms

Results

Error	Segments	Branch
1.2b	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch27.0ms (1.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.15950286217172832	78927674.54145509
14.0ms	-62378538.523190685	-0.9283769931404975

Results

23.0ms

288×

body

256

valid

Compiler

Compiled 192 to 171 computations (10.9% saved)

regimes32.0ms (1.8%)

Accuracy

Total -61.5b remaining (-4054.3%)

Threshold costs -61.5b (-4054.3%)

Counts

2 → 3

Calls

Call 1

Inputs
-1
1

Outputs
-1
1
-1

Calls

1 calls:

31.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch50.0ms (2.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	0.15950286217172832	78927674.54145509
37.0ms	-62378538.523190685	-0.9283769931404975

Results

46.0ms

288×

body

256

valid

Compiler

Compiled 120 to 117 computations (2.5% saved)

simplify5.0ms (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%)

end146.0ms (8.3%)

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

Details

analyze4.0ms (0.2%)

sample754.0ms (42.9%)

preprocess56.0ms (3.2%)

simplify46.0ms (2.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.4%)

series1.0ms (0.1%)

rewrite44.0ms (2.5%)

simplify46.0ms (2.6%)

eval18.0ms (1%)

prune10.0ms (0.6%)

localize5.0ms (0.3%)

localize7.0ms (0.4%)

series1.0ms (0.1%)

rewrite41.0ms (2.3%)

simplify41.0ms (2.4%)

localize5.0ms (0.3%)

localize12.0ms (0.7%)

series3.0ms (0.2%)

rewrite58.0ms (3.3%)

simplify72.0ms (4.1%)

eval109.0ms (6.2%)

prune64.0ms (3.6%)

eval0.0ms (0%)

prune5.0ms (0.3%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes8.0ms (0.5%)

regimes12.0ms (0.7%)

bsearch58.0ms (3.3%)

regimes10.0ms (0.6%)

bsearch27.0ms (1.5%)

regimes32.0ms (1.8%)

bsearch50.0ms (2.8%)

simplify5.0ms (0.3%)

soundness0.0ms (0%)

end146.0ms (8.3%)

Profiling