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 7 to 5 computations (28.6% saved)

sample1.1s (43.2%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess20.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	27	7
5	37	7
6	50	7
7	68	7
8	81	7
9	84	7
10	85	7
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary64`
7×	`+-commutative_binary64`
6×	`fma-def_binary64`
4×	`div-sub_binary64`
3×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	13	7
3	19	7
4	27	7
5	37	7
6	50	7
7	68	7
8	81	7
9	84	7
10	85	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% 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 x (-.f64 1 x))

Compiler

Compiled 6 to 4 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite48.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary64`
568×	`add-log-exp_binary64`
568×	`log1p-expm1-u_binary64`
568×	`expm1-log1p-u_binary64`
557×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	108	7
2	1473	7

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

Outputs

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

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-neg_binary64`
597×	`associate-/l*_binary64`
562×	`associate-l_binary64`
478×	`cancel-sign-sub-inv_binary64`
445×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	150
1	76	132
2	220	125
3	597	125
4	1842	125
5	5601	113

Stop Event

1×	node limit

Counts

44 → 46

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))

Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (-.f64 -1 (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(.f64 (-.f64 1 (/.f64 -1 (.f64 x x))) (+.f64 -1 (/.f64 -1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (-.f64 -1 (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(.f64 (-.f64 1 (/.f64 -1 (.f64 x x))) (+.f64 -1 (/.f64 -1 x)))

eval11.0ms (0.4%)

Compiler: Compiled 447 to 308 computations (31.1% saved)

prune8.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Error

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	29.8b	-1
✓	0.0b	(/.f64 x (-.f64 1 x))
▶	34.0b	(fma.f64 x x x)
▶	18.5b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
	33.6b	x

Compiler

Compiled 27 to 17 computations (37% saved)

localize11.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 x 1))
✓	17.6b	(/.f64 x (-.f64 1 (*.f64 x x)))

Compiler

Compiled 32 to 16 computations (50% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`prod-diff_binary64`
467×	`log-prod_binary64`
334×	`pow-prod-down_binary64`
298×	`fma-def_binary64`
240×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	26
1	187	17
2	2821	17

Stop Event

1×	node limit

Counts

2 → 133

Calls

Call 1

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

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

Outputs

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

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

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

671×	`associate-l_binary64`
623×	`fma-neg_binary64`
572×	`fma-def_binary64`
540×	`associate-r_binary64`
390×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	342
1	132	312
2	399	303
3	1155	303
4	3304	303

Stop Event

1×	node limit

Counts

157 → 160

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))

Outputs
x
(+.f64 (pow.f64 x 3) x)
(+.f64 x (pow.f64 x 3))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 5))
(+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 5)))
(fma.f64 (fma.f64 x x 1) x (pow.f64 x 5))
(fma.f64 x (fma.f64 x x 1) (pow.f64 x 5))
(+.f64 (pow.f64 x 5) (+.f64 (pow.f64 x 7) (+.f64 (pow.f64 x 3) x)))
(+.f64 (pow.f64 x 5) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 7)))
(+.f64 (pow.f64 x 5) (+.f64 x (+.f64 (pow.f64 x 3) (pow.f64 x 7))))
(+.f64 (pow.f64 x 5) (fma.f64 (fma.f64 x x 1) x (pow.f64 x 7)))
(+.f64 (pow.f64 x 5) (fma.f64 x (fma.f64 x x 1) (pow.f64 x 7)))
(fma.f64 x (fma.f64 x x 1) (+.f64 (pow.f64 x 5) (pow.f64 x 7)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 5))))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 7)))
(/.f64 -1 x)
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x))))
(neg.f64 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 5))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (pow.f64 x 5)))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 -1 x) (/.f64 -1 (pow.f64 x 5))))
(+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 7))))))
(-.f64 (/.f64 -1 (pow.f64 x 5)) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (-.f64 (/.f64 -1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 -1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (+.f64 (/.f64 -1 x) (-.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 5)))) (/.f64 -1 (pow.f64 x 7)))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (+.f64 x (pow.f64 x 3)) (*.f64 x x))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 3))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 1 (+.f64 (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 x)) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x))) (/.f64 -1 (pow.f64 x 3)))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 x)) (/.f64 -1 (*.f64 x x))))
(+.f64 (+.f64 (/.f64 -1 x) (/.f64 (/.f64 -1 x) x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 3))))

localize3.0ms (0.1%)

Compiler: Compiled 6 to 2 computations (66.7% saved)

eval57.0ms (2.3%)

Compiler: Compiled 2623 to 1640 computations (37.5% saved)

prune24.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	156	4	160
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	159	6	165

Error

Counts

165 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
✓	0.0b	(/.f64 x (-.f64 1 x))
	29.8b	-1
▶	0.1b	(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
▶	34.0b	(*.f64 x (+.f64 x 1))
	33.6b	x

Compiler

Compiled 42 to 28 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

511×	`pow1_binary64`
496×	`add-sqr-sqrt_binary64`
477×	`log1p-expm1-u_binary64`
477×	`expm1-log1p-u_binary64`
476×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	105	5
2	1332	5

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify163.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
739×	`fma-def_binary64`
572×	`cube-prod_binary64`
564×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	11	54
2	22	54
3	39	54
4	89	54
5	273	54
6	952	54
7	2125	54
8	2540	54
9	2755	54
10	2993	54
11	3354	54
12	3788	54
13	4290	54
14	4876	54
15	5599	54
16	6448	54
17	6840	54
18	7132	54
19	7413	54
20	7489	54
21	7525	54

Stop Event

1×	node limit

Counts

33 → 25

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)

Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

localize19.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
✓	0.1b	(/.f64 x (-.f64 (/.f64 1 x) x))
	17.6b	(/.f64 x (-.f64 1 (*.f64 x x)))

Compiler

Compiled 48 to 25 computations (47.9% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite84.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

683×	`fma-def_binary64`
625×	`log-prod_binary64`
316×	`fma-neg_binary64`
296×	`log-div_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	246	32
2	4116	32

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

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

simplify51.0ms (2%)

Algorithm

1×	egg-herbie

Rules

846×	`times-frac_binary64`
798×	`fma-def_binary64`
747×	`unswap-sqr_binary64`
557×	`fma-neg_binary64`
305×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	330
1	125	294
2	390	287
3	1243	282
4	4630	282

Stop Event

1×	node limit

Counts

161 → 165

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6)))
(+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6))))
-1
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 4) (pow.f64 x 2))
(+.f64 (*.f64 x x) (pow.f64 x 4))
(fma.f64 x x (pow.f64 x 4))
(+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6)))
(+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) (pow.f64 x 6)))
(+.f64 (pow.f64 x 4) (fma.f64 x x (pow.f64 x 6)))
(+.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 2) (pow.f64 x 6))))
(+.f64 (+.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) (pow.f64 x 6))) (pow.f64 x 8))
(+.f64 (pow.f64 x 4) (+.f64 (fma.f64 x x (pow.f64 x 6)) (pow.f64 x 8)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x (pow.f64 x 6)))
-1
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (/.f64 1 (*.f64 x x))))
(+.f64 -1 (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 -1 (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 4))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4))))
(-.f64 -1 (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 -1 (/.f64 1 (pow.f64 x 6)))) (/.f64 1 (*.f64 x x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))))
(neg.f64 (+.f64 1 (/.f64 1 (*.f64 x x))))
(+.f64 -1 (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (/.f64 1 (pow.f64 x 2)))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (/.f64 1 (pow.f64 x 4))))
(+.f64 (+.f64 -1 (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 4)))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 -1 (*.f64 x x)) (+.f64 -1 (/.f64 -1 (pow.f64 x 4))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))))))
(neg.f64 (+.f64 (/.f64 1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))))))
(-.f64 (/.f64 -1 (pow.f64 x 4)) (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6)))))
(+.f64 -1 (-.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4))))
(-.f64 -1 (+.f64 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 6))))
(-.f64 (+.f64 (/.f64 -1 (pow.f64 x 4)) (-.f64 -1 (/.f64 1 (pow.f64 x 6)))) (/.f64 1 (*.f64 x x)))
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (pow.f64 x 4) (+.f64 x (pow.f64 x 3))))
(+.f64 (pow.f64 x 4) (+.f64 x (*.f64 x (fma.f64 x x x))))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 -1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 -1 x) (+.f64 1 (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 -1 x) (+.f64 -1 (/.f64 -1 (pow.f64 x 3)))) (/.f64 1 (*.f64 x x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(-.f64 -1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 x)))
(-.f64 (/.f64 -1 x) (+.f64 1 (/.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(+.f64 -1 (+.f64 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 -1 x) (+.f64 -1 (/.f64 -1 (pow.f64 x 3)))) (/.f64 1 (*.f64 x x)))

localize10.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 23 to 15 computations (34.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

951×	`pow1_binary64`
891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
890×	`add-log-exp_binary64`
86×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	164	13
2	2453	13

Stop Event

1×	node limit

Counts

1 → 34

Calls

Call 1

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

Outputs

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

simplify53.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

698×	`fma-neg_binary64`
597×	`associate-/l*_binary64`
562×	`associate-l_binary64`
478×	`cancel-sign-sub-inv_binary64`
445×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	27	150
1	76	132
2	220	125
3	597	125
4	1842	125
5	5601	113

Stop Event

1×	node limit

Counts

46 → 48

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))

Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 3) x))
(+.f64 (*.f64 x x) (+.f64 x (pow.f64 x 3)))
(+.f64 x (*.f64 x (fma.f64 x x x)))
(fma.f64 x (fma.f64 x x x) x)
(+.f64 (pow.f64 x 2) (+.f64 (pow.f64 x 4) (+.f64 (pow.f64 x 3) x)))
(+.f64 (*.f64 x x) (+.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)))
(+.f64 (+.f64 x (pow.f64 x 3)) (fma.f64 x x (pow.f64 x 4)))
(*.f64 (fma.f64 x x 1) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (fma.f64 x x 1))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (-.f64 -1 (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(.f64 (-.f64 1 (/.f64 -1 (.f64 x x))) (+.f64 -1 (/.f64 -1 x)))
-1
(neg.f64 (+.f64 1 (/.f64 1 x)))
(+.f64 -1 (neg.f64 (/.f64 1 x)))
(-.f64 -1 (/.f64 1 x))
(+.f64 -1 (/.f64 -1 x))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 x))))
(+.f64 -1 (neg.f64 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x)))))
(-.f64 -1 (+.f64 (/.f64 1 x) (/.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 (/.f64 -1 x) (/.f64 -1 (*.f64 x x))))
(+.f64 -1 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))))
(+.f64 (+.f64 -1 (/.f64 -1 x)) (/.f64 -1 (*.f64 x x)))
(neg.f64 (+.f64 1 (+.f64 (/.f64 1 (pow.f64 x 2)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))))
(neg.f64 (+.f64 (+.f64 1 (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 -1 (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(-.f64 (-.f64 -1 (/.f64 1 x)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (-.f64 (/.f64 -1 x) (/.f64 1 (*.f64 x x))) (-.f64 -1 (/.f64 1 (pow.f64 x 3))))
(+.f64 -1 (-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
(.f64 (-.f64 1 (/.f64 -1 (.f64 x x))) (+.f64 -1 (/.f64 -1 x)))

eval108.0ms (4.3%)

Compiler: Compiled 5792 to 3548 computations (38.7% saved)

prune44.0ms (1.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	293	3	296
Fresh	2	0	2
Picked	0	1	1
Done	2	1	3
Total	297	5	302

Error

Counts

302 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	29.8b	-1
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	0.1b	(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
	33.6b	x
▶	34.0b	(+.f64 (*.f64 x x) x)

Compiler

Compiled 26 to 17 computations (34.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 3 computations (70% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`pow1_binary64`
488×	`add-sqr-sqrt_binary64`
472×	`add-log-exp_binary64`
471×	`log1p-expm1-u_binary64`
471×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	92	5
2	1367	5

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(+.f64 (*.f64 x x) x)

Outputs

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

simplify163.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
739×	`fma-def_binary64`
572×	`cube-prod_binary64`
564×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	72
1	11	54
2	22	54
3	39	54
4	89	54
5	273	54
6	952	54
7	2125	54
8	2540	54
9	2755	54
10	2993	54
11	3354	54
12	3788	54
13	4290	54
14	4876	54
15	5599	54
16	6448	54
17	6840	54
18	7132	54
19	7413	54
20	7489	54
21	7525	54

Stop Event

1×	node limit

Counts

50 → 42

Calls

Call 1

Inputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)
(+.f64 (pow.f64 x 2) x)

Outputs
x
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)
(+.f64 (pow.f64 x 2) x)
(+.f64 x (*.f64 x x))
(fma.f64 x x x)

eval8.0ms (0.3%)

Compiler: Compiled 405 to 185 computations (54.3% saved)

prune8.0ms (0.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	42	5	47

Error

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	29.8b	-1
✓	0.0b	(/.f64 x (-.f64 1 x))
✓	0.1b	(/.f64 (+.f64 x 1) (-.f64 (/.f64 1 x) x))
	33.6b	x
✓	34.0b	(+.f64 (*.f64 x x) x)

Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes19.0ms (0.8%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

8.0ms	x
5.0ms	(/.f64 x (-.f64 1 x))
4.0ms	(/.f64 x (-.f64 1 x))

Results

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

Compiler

Compiled 75 to 42 computations (44% saved)

regimes14.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

2 calls:

7.0ms	x
5.0ms	(/.f64 x (-.f64 1 x))

Results

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

Compiler

Compiled 50 to 29 computations (42% saved)

regimes18.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 19 to 10 computations (47.4% saved)

bsearch28.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.0008334005333199306	3.7643949243983412
13.0ms	-3808397.5679019354	-6.3154700320861034e-9

Compiler

Compiled 10 to 7 computations (30% saved)

regimes15.0ms (0.6%)

Accuracy

Total -60.4b remaining (-3968%)

Threshold costs -60.4b (-3968%)

Counts

6 → 3

Calls

Call 1

Inputs
x
-1
x
-1
-1
x

Outputs
-1
x
-1

Calls

1 calls:

14.0ms

Results

Error	Segments	Branch
1.5b	3	`x`

Compiler

Compiled 9 to 5 computations (44.4% saved)

bsearch28.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	0.0008334005333199306	3.7643949243983412
13.0ms	-3808397.5679019354	-6.3154700320861034e-9

Compiler

Compiled 10 to 7 computations (30% saved)

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	66
1	34	66
2	42	66
3	46	66
4	48	66

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1022308937769047/268435456) -1 (if (<=.f64 x 7686763174522905/9223372036854775808) (+.f64 (*.f64 x x) x) -1))
(if (<=.f64 x -1022308937769047/268435456) -1 (if (<=.f64 x 7686763174522905/9223372036854775808) x -1))
x

Outputs
(+.f64 (/.f64 x (-.f64 (/.f64 1 x) x)) (/.f64 x (-.f64 1 (*.f64 x x))))
(/.f64 x (-.f64 1 x))
(if (<=.f64 x -1022308937769047/268435456) -1 (if (<=.f64 x 7686763174522905/9223372036854775808) (+.f64 (*.f64 x x) x) -1))
(if (<=.f64 x -1022308937769047/268435456) -1 (if (<=.f64 x 7686763174522905/9223372036854775808) (+.f64 x (*.f64 x x)) -1))
(if (<=.f64 x -1022308937769047/268435456) -1 (if (<=.f64 x 7686763174522905/9223372036854775808) x -1))
x

Compiler

Compiled 52 to 35 computations (32.7% saved)

soundness0.0ms (0%)

end41.0ms (1.6%)

Compiler: Compiled 48 to 30 computations (37.5% saved)

Details

analyze4.0ms (0.2%)

sample1.1s (43.2%)

preprocess20.0ms (0.8%)

simplify9.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite48.0ms (1.9%)

simplify53.0ms (2.1%)

eval11.0ms (0.4%)

prune8.0ms (0.3%)

localize11.0ms (0.5%)

series3.0ms (0.1%)

rewrite71.0ms (2.8%)

simplify53.0ms (2.1%)

localize3.0ms (0.1%)

eval57.0ms (2.3%)

prune24.0ms (1%)

localize5.0ms (0.2%)

series2.0ms (0.1%)

rewrite46.0ms (1.8%)

simplify163.0ms (6.5%)

localize19.0ms (0.8%)

series2.0ms (0.1%)

rewrite84.0ms (3.4%)

simplify51.0ms (2%)

localize10.0ms (0.4%)

series1.0ms (0%)

rewrite53.0ms (2.1%)

simplify53.0ms (2.1%)

eval108.0ms (4.3%)

prune44.0ms (1.7%)

localize4.0ms (0.2%)

series1.0ms (0%)

rewrite47.0ms (1.9%)

simplify163.0ms (6.5%)

eval8.0ms (0.3%)

prune8.0ms (0.3%)

regimes19.0ms (0.8%)

regimes14.0ms (0.6%)

regimes18.0ms (0.7%)

bsearch28.0ms (1.1%)

regimes15.0ms (0.6%)

bsearch28.0ms (1.1%)

simplify6.0ms (0.3%)

soundness0.0ms (0%)

end41.0ms (1.6%)

Profiling