Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
75%	75%	25%	0%	0%	0%	0%	4
85.7%	75%	12.5%	0%	12.5%	0%	0%	5
92.3%	75%	6.2%	0%	18.7%	0%	0%	6
96%	75%	3.1%	0%	21.9%	0%	0%	7
98%	75%	1.6%	0%	23.4%	0%	0%	8
99%	75%	0.8%	0%	24.2%	0%	0%	9
99.5%	75%	0.4%	0%	24.6%	0%	0%	10
99.7%	75%	0.2%	0%	24.8%	0%	0%	11
99.9%	75%	0.1%	0%	24.9%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample837.0ms (21.9%)

Results

826.0ms	8256×	body	256	valid
1.0ms	8×	body	256	infinite

Bogosity

preprocess16.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

4×	`fma-def`
4×	`sub-neg`
4×	`+-commutative`
2×	`associate-/l*`
2×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	24	15
3	27	15
4	29	15
5	30	15
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (fma.f64 x x -3) 6)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def`
4×	`sub-neg`
4×	`+-commutative`
2×	`associate-/l*`
2×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	18	15
2	24	15
3	27	15
4	29	15
5	30	15

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (fma.f64 x x -3) 6)

eval1.0ms (0%)

Compiler: Compiled 14 to 10 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 8 to 6 computations (25% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) 3)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	0	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	-inf	(/.f64 (-.f64 (*.f64 x x) 3) 6)
0.0ms	x	@	inf	(-.f64 (*.f64 x x) 3)
0.0ms	x	@	0	(-.f64 (*.f64 x x) 3)

rewrite68.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1856×	`add-sqr-sqrt`
1806×	`*-un-lft-identity`
1718×	`add-cube-cbrt`
1708×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
1	187	24
2	2309	24

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (*.f64 x x) 3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 x x) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (fma.f64 x x -3)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -3) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (pow.f64 x 6) -27) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))) (+.f64 (pow.f64 x 6) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (.f64 x x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 (.f64 x x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) -27)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x x) 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 x x) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (fma.f64 x x -3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (*.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (*.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (fma.f64 x x -3)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 x x -3) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) -27) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 9 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (*.f64 x (*.f64 x 3)))) (+.f64 (pow.f64 x 6) -27)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (+.f64 9 (*.f64 x (*.f64 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (-.f64 9 (*.f64 (*.f64 x x) -3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) -27)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (*.f64 x (*.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)))))

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-*r/`
1080×	`associate-/l*`
834×	`unswap-sqr`
802×	`associate-*l/`
606×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1399
1	289	1319
2	1279	1313
3	4572	1313

Stop Event

1×	node limit

Counts

83 → 75

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-3
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(+.f64 (*.f64 x x) -3)
(+.f64 -3 (*.f64 x x))
(*.f64 (fma.f64 x x -3) 1)
(*.f64 1 (fma.f64 x x -3))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(.f64 (+.f64 (pow.f64 x 6) -27) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3))))))
(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))) (+.f64 (pow.f64 x 6) -27)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 (.f64 x x) -3))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (fma.f64 x x 3)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -27)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3))))))
(pow.f64 (fma.f64 x x -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))
(log.f64 (exp.f64 (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))
(expm1.f64 (log1p.f64 (fma.f64 x x -3)))
(exp.f64 (log.f64 (fma.f64 x x -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(fma.f64 1 (*.f64 x x) -3)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
-3
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (fma.f64 1/6 (.f64 x x) -1/2)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(fabs.f64 (*.f64 1/6 (fma.f64 x x -3)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x x -3)) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (*.f64 x x) -3)
(fma.f64 x x -3)
(+.f64 -3 (*.f64 x x))
(fma.f64 x x -3)
(*.f64 (fma.f64 x x -3) 1)
(fma.f64 x x -3)
(*.f64 1 (fma.f64 x x -3))
(fma.f64 x x -3)
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(fma.f64 x x -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(.f64 (+.f64 (pow.f64 x 6) -27) (/.f64 1 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))) (+.f64 (pow.f64 x 6) -27)))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3)))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (-.f64 9 (.f64 (.f64 x x) -3))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (fma.f64 x x 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) -27)) (neg.f64 (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 x 3))))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) -27) 1) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (*.f64 x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 (pow.f64 x 4) (fma.f64 x (*.f64 x 3) 9)))
(pow.f64 (fma.f64 x x -3) 1)
(fma.f64 x x -3)
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)
(fma.f64 x x -3)
(pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)
(fma.f64 x x -3)
(pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)
(fma.f64 x x -3)
(sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))
(fma.f64 x x -3)
(log.f64 (exp.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))
(fma.f64 x x -3)
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))
(fma.f64 x x -3)
(expm1.f64 (log1p.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(exp.f64 (log.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1))
(fma.f64 x x -3)
(log1p.f64 (expm1.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(fma.f64 x x -3)
(fma.f64 1 (*.f64 x x) -3)
(fma.f64 x x -3)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)

eval19.0ms (0.5%)

Compiler: Compiled 786 to 590 computations (24.9% saved)

prune16.0ms (0.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	67	9	76

Error

0.0b

Counts

76 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
	40.5b	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
▶	11.3b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	39.5b	(/.f64 (*.f64 x x) 6)
▶	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
	40.4b	(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
▶	39.6b	(.f64 1/6 (.f64 x x))
	24.3b	-1/2

Compiler

Compiled 144 to 108 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	0.3b	(.f64 (.f64 x x) 1/6)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(.f64 (.f64 x x) 1/6)
0.0ms	x	@	0	(.f64 (.f64 x x) 1/6)
0.0ms	x	@	inf	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
0.0ms	x	@	0	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
0.0ms	x	@	-inf	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)

rewrite57.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`add-sqr-sqrt`
1686×	`*-un-lft-identity`
1590×	`add-cube-cbrt`
1580×	`add-cbrt-cube`
170×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	178	28
2	2159	28

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(.f64 (.f64 x x) 1/6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (.f64 x (.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x 1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (/.f64 1 (fma.f64 x (.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (/.f64 1 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (.f64 x 1/6) 1/2) (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12))) (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (fma.f64 x (.f64 x 1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (-.f64 (.f64 x (.f64 x 1/6)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x (.f64 x 1/6)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)) (neg.f64 (fma.f64 x (.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8)) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x 1/6) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/6) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (.f64 x 1/6) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 1/6) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (.f64 x 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x x) 1/6 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 x (.f64 x 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 1/6))) -1/2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 1/6) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4) (/.f64 1 (fma.f64 x (*.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8) (/.f64 1 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (*.f64 x 1/6) 1/2) (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/12))) (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4) (fma.f64 x (*.f64 x 1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4) (-.f64 (*.f64 x (*.f64 x 1/6)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8) (+.f64 (*.f64 1/36 (pow.f64 x 4)) (-.f64 1/4 (*.f64 (*.f64 x (*.f64 x 1/6)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) -1/4)) (neg.f64 (fma.f64 x (*.f64 x 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8)) (neg.f64 (+.f64 (*.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (*.f64 (*.f64 x x) 1/12)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 1/6) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1/6 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 1/6)) (*.f64 x (sqrt.f64 1/6)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 1/6))) -1/2)))))

simplify59.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1438×	`associate-/l*`
1266×	`associate-r`
1026×	`associate-l`
884×	`associate-+r+`
740×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	118	1442
1	255	1320
2	957	1320
3	4526	1320

Stop Event

1×	node limit

Counts

72 → 61

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(pow.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/6)))))
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/6))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(+.f64 (.f64 x (.f64 x 1/6)) -1/2)
(+.f64 -1/2 (.f64 x (.f64 x 1/6)))
(.f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)
(.f64 1 (fma.f64 x (.f64 x 1/6) -1/2))
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (/.f64 1 (fma.f64 x (*.f64 x 1/6) 1/2)))
(.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (/.f64 1 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12)))))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x 1/6) 1/2) (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)))
(/.f64 1 (/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12))) (+.f64 (.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8)))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (fma.f64 x (.f64 x 1/6) 1/2))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (-.f64 (.f64 x (*.f64 x 1/6)) -1/2))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (*.f64 x x) 1/12))))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x (.f64 x 1/6)) -1/2))))
(/.f64 (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)) (neg.f64 (fma.f64 x (.f64 x 1/6) 1/2)))
(/.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8)) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (*.f64 x x) 1/12)))))
(pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 x (*.f64 x 1/6) -1/2)
(fma.f64 (*.f64 x x) 1/6 -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 1 (.f64 x (.f64 x 1/6)) -1/2)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 1/6))) -1/2)

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 1/6)))) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(.f64 1/6 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/6)))))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 1/216 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/6))) 1))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 x (.f64 x 1/6)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(+.f64 -1/2 (.f64 x (.f64 x 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (fma.f64 x (.f64 x 1/6) -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 1 (fma.f64 x (.f64 x 1/6) -1/2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (sqrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (/.f64 1 (fma.f64 x (*.f64 x 1/6) 1/2)))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (/.f64 1 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12)))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 1 (/.f64 (fma.f64 x (.f64 x 1/6) 1/2) (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(/.f64 1 (/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (.f64 x x) 1/12))) (+.f64 (.f64 1/216 (pow.f64 (*.f64 x x) 3)) -1/8)))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (fma.f64 x (.f64 x 1/6) 1/2))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(/.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4) (-.f64 (.f64 x (*.f64 x 1/6)) -1/2))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (*.f64 x x) 1/12))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8) (+.f64 (.f64 1/36 (pow.f64 x 4)) (-.f64 1/4 (.f64 (.f64 x (.f64 x 1/6)) -1/2))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(/.f64 (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) -1/4)) (neg.f64 (fma.f64 x (.f64 x 1/6) 1/2)))
(.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (/.f64 1 (fma.f64 x (.f64 1/6 x) 1/2)))
(/.f64 (fma.f64 1/36 (pow.f64 x 4) -1/4) (fma.f64 1/6 (*.f64 x x) 1/2))
(/.f64 (fma.f64 (pow.f64 x 4) -1/36 1/4) (fma.f64 x (*.f64 x -1/6) -1/2))
(/.f64 (neg.f64 (+.f64 (.f64 1/216 (pow.f64 (.f64 x x) 3)) -1/8)) (neg.f64 (+.f64 (.f64 1/36 (pow.f64 x 4)) (+.f64 1/4 (.f64 (*.f64 x x) 1/12)))))
(/.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 x x) 3) -1/8) 1) (fma.f64 1/36 (pow.f64 x 4) (+.f64 1/4 (.f64 x (.f64 x 1/12)))))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 1/36 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) 1/4)))
(/.f64 (fma.f64 1/216 (pow.f64 x 6) -1/8) (fma.f64 x (*.f64 x 1/12) (fma.f64 1/36 (pow.f64 x 4) 1/4)))
(pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 1/6) -1/2)) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 1/6) -1/2) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x 1/6) -1/2)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 1/6) -1/2)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (*.f64 x x) 1/6 -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 1 (.f64 x (.f64 x 1/6)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (.f64 x (sqrt.f64 1/6)) (.f64 x (sqrt.f64 1/6)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 x (*.f64 x 1/6))) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/36 (pow.f64 x 4))) (cbrt.f64 (.f64 1/6 (*.f64 x x))) -1/2)
(fma.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (*.f64 1/36 (pow.f64 x 4))) -1/2)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 1/6 (.f64 x x))

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 1/6 (.f64 x x))
0.0ms	x	@	inf	(.f64 1/6 (.f64 x x))
0.0ms	x	@	-inf	(.f64 1/6 (.f64 x x))

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1078×	`add-sqr-sqrt`
1058×	`*-un-lft-identity`
1006×	`pow1`
988×	`add-cube-cbrt`
980×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1409	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 1/6 (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 x x))))))))

simplify39.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1470×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1164×	`log-prod`
746×	`associate-r`
702×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	347	299
3	1900	299

Stop Event

1×	node limit

Counts

23 → 14

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(-.f64 (+.f64 1 (.f64 1/6 (.f64 x x))) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (.f64 1/6 (.f64 x x)) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) 3)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(pow.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3) 1/3)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(log.f64 (pow.f64 (exp.f64 1/6) (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(cbrt.f64 (pow.f64 (.f64 1/6 (.f64 x x)) 3))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(expm1.f64 (log1p.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(exp.f64 (log.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(log1p.f64 (expm1.f64 (.f64 1/6 (.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 x x) 6)

Compiler

Compiled 11 to 5 computations (54.5% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (*.f64 x x) 6)
0.0ms	x	@	inf	(/.f64 (*.f64 x x) 6)
0.0ms	x	@	-inf	(/.f64 (*.f64 x x) 6)

rewrite49.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`add-sqr-sqrt`
1184×	`*-un-lft-identity`
1122×	`add-cube-cbrt`
1114×	`add-cbrt-cube`
1104×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	130	13
2	1585	13

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(/.f64 (*.f64 x x) 6)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (/.f64 6 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x 4)) (*.f64 (cbrt.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (neg.f64 x)) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 6) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (sqrt.f64 6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x x) -6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 1/6))))))))

simplify48.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1708×	`distribute-lft-in`
1464×	`associate-l`
1412×	`associate-+r+`
1364×	`associate-*r/`
1228×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	565
1	155	565
2	556	565
3	2597	565

Stop Event

1×	node limit

Counts

37 → 29

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1)
(.f64 x (.f64 x 1/6))
(*.f64 x (/.f64 1 (/.f64 6 x)))
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 x (*.f64 x 1/6)) 1)
(.f64 1 (.f64 x (*.f64 x 1/6)))
(*.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (.f64 x 1/6))))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/6))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) -1/6)
(*.f64 (/.f64 x 6) x)
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(neg.f64 (/.f64 (*.f64 x x) -6))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (+.f64 1 (.f64 x (.f64 x 1/6))) 1)
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(.f64 1/6 (.f64 x x))
(*.f64 x (/.f64 1 (/.f64 6 x)))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x x) 1/6)
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (*.f64 x 1/6)) 1)
(.f64 1/6 (.f64 x x))
(.f64 1 (.f64 x (*.f64 x 1/6)))
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 x (sqrt.f64 6)) (/.f64 x (sqrt.f64 6)))
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)) (cbrt.f64 (.f64 x (.f64 x 1/6))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 1/6 (cbrt.f64 (*.f64 x x))))
(.f64 1/6 (.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x))))
(.f64 1/6 (.f64 x x))
(.f64 (.f64 x (neg.f64 x)) -1/6)
(.f64 1/6 (.f64 x x))
(*.f64 (/.f64 x 6) x)
(.f64 1/6 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 1/6)) 1)
(.f64 1/6 (.f64 x x))
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/6))) 3)
(.f64 1/6 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3) 1/3)
(.f64 1/6 (.f64 x x))
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(.f64 1/6 (.f64 x x))
(neg.f64 (/.f64 (*.f64 x x) -6))
(.f64 1/6 (.f64 x x))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(log.f64 (pow.f64 (exp.f64 (*.f64 x x)) 1/6))
(.f64 1/6 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 1/6)) 3))
(.f64 1/6 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/6))))
(.f64 1/6 (.f64 x x))

localize19.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (pow.f64 x 4) -9)
✓	0.1b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	10.5b	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))

Compiler

Compiled 46 to 30 computations (34.8% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
0.0ms	x	@	-inf	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
0.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
0.0ms	x	@	-inf	(+.f64 (pow.f64 x 4) -9)
0.0ms	x	@	inf	(+.f64 (pow.f64 x 4) -9)

rewrite86.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`associate-/r*`
1458×	`associate-/l*`
1200×	`associate-/r/`
298×	`add-sqr-sqrt`
286×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	309	37
2	3969	37

Stop Event

1×	node limit

Counts

3 → 179

Calls

Call 1

Inputs
(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
(+.f64 (pow.f64 x 4) -9)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (*.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 x (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (fma.f64 x x 3)) (-.f64 9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -9)) (*.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (sqrt.f64 (fma.f64 x x 3))) (/.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (cbrt.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 9 (pow.f64 x 4))) (fma.f64 x x -3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (fma.f64 x x 3)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 x (*.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 x (*.f64 x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 8) -81) (/.f64 1 (fma.f64 x x 3))) (+.f64 (pow.f64 x 8) -81)) (+.f64 (pow.f64 x 4) -9))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (+.f64 (pow.f64 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(pow.f64 x 12))) (cbrt.f64 (+.f64 -729 (pow.f64 x 12)))) (/.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9))) (cbrt.f64 (+.f64 -729 (pow.f64 x 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 8) -81)) (cbrt.f64 (+.f64 (pow.f64 x 8) -81))) (/.f64 (+.f64 (pow.f64 x 4) 9) (cbrt.f64 (+.f64 (pow.f64 x 8) -81))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 8) -81)) (neg.f64 (+.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 -729 (pow.f64 x 12))) (neg.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 81 (pow.f64 x 8)) (-.f64 -9 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 12) 729) (+.f64 (+.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) 1) (+.f64 (pow.f64 x 4) 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) (sqrt.f64 (+.f64 (pow.f64 x 4) 9))) (sqrt.f64 (+.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) 9)) (cbrt.f64 (+.f64 (pow.f64 x 4) 9)))) (cbrt.f64 (+.f64 (pow.f64 x 4) 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) 1) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) (sqrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9))))) (sqrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) (*.f64 (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9)))) (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9)))))) (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (pow.f64 x 4) -9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 4) -9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (+.f64 -8 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 4) -9)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 4) -9)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x x) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 4) -9)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) -9)))))

simplify103.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

930×	`associate-r`
752×	`associate-/l*`
668×	`associate-l`
530×	`+-commutative`
518×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	440	6367
1	1197	6065
2	7194	6065

Stop Event

1×	node limit

Counts

215 → 264

Calls

Call 1

Inputs
-3
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
(-.f64 (pow.f64 x 2) 3)
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-9
(-.f64 (pow.f64 x 4) 9)
(-.f64 (pow.f64 x 4) 9)
(-.f64 (pow.f64 x 4) 9)
(pow.f64 x 4)
(-.f64 (pow.f64 x 4) 9)
(-.f64 (pow.f64 x 4) 9)
(-.f64 (pow.f64 x 4) 9)
(pow.f64 x 4)
(-.f64 (pow.f64 x 4) 9)
(-.f64 (pow.f64 x 4) 9)
(-.f64 (pow.f64 x 4) 9)
(+.f64 (*.f64 x x) -3)
(+.f64 -3 (*.f64 x x))
(-.f64 (*.f64 x x) 3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -3))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 4)
(-.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(*.f64 (fma.f64 x x -3) 1)
(*.f64 1 (fma.f64 x x -3))
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(*.f64 (/.f64 1 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x x 3)))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) 3)))
(*.f64 (/.f64 -1 (fma.f64 x x 3)) (-.f64 9 (pow.f64 x 4)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -9)) (.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 1) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (sqrt.f64 (fma.f64 x x 3))) (/.f64 (cbrt.f64 (fma.f64 x x -3)) (cbrt.f64 (sqrt.f64 (fma.f64 x x 3)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 9 (pow.f64 x 4))) (fma.f64 x x -3))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (fma.f64 x x 3)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(*.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 8) -81) (/.f64 1 (fma.f64 x x 3))) (+.f64 (pow.f64 x 8) -81)) (+.f64 (pow.f64 x 4) -9))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 8) -81) (/.f64 1 (fma.f64 x x 3))) (-.f64 (pow.f64 x 12) -729)) (+.f64 (+.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (.f64 (+.f64 -729 (pow.f64 x 12)) (/.f64 1 (fma.f64 x x 3))) (-.f64 (.f64 (pow.f64 x 8) (pow.f64 x 8)) (.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) (-.f64 81 (.f64 (pow.f64 x 4) -9))))) (+.f64 (+.f64 (pow.f64 x 8) -81) (*.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (.f64 (+.f64 -729 (pow.f64 x 12)) (/.f64 1 (fma.f64 x x 3))) (+.f64 (pow.f64 (pow.f64 x 8) 3) (pow.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x 8) (pow.f64 x 8)) (.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) (-.f64 81 (.f64 (pow.f64 x 4) -9)))) (.f64 (pow.f64 x 8) (-.f64 81 (*.f64 (pow.f64 x 4) -9)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (+.f64 (pow.f64 x 6) 27))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (cbrt.f64 (+.f64 (pow.f64 x 6) 27))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(pow.f64 (fma.f64 x x -3) 1)
(pow.f64 (sqrt.f64 (fma.f64 x x -3)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3)
(pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/3)
(pow.f64 (/.f64 1 (fma.f64 x x -3)) -1)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 -3 (*.f64 x x))))
(sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))
(log.f64 (exp.f64 (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x x -3))))
(cbrt.f64 (pow.f64 (fma.f64 x x -3) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 3) (pow.f64 (fma.f64 x x 3) 3)))
(expm1.f64 (log1p.f64 (fma.f64 x x -3)))
(exp.f64 (log.f64 (fma.f64 x x -3)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) 1))
(log1p.f64 (expm1.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(fma.f64 1 (*.f64 x x) -3)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) -3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (/.f64 1 (fma.f64 x x 3)) 1/6))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1/6 (fma.f64 x x 3)))
(*.f64 (fma.f64 x x -3) 1/6)
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (.f64 (cbrt.f64 (fma.f64 x x -3)) 1/6))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (neg.f64 (fma.f64 x x -3)) -1/6)
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
(*.f64 (/.f64 1/6 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 6) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) 6) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) 1) (/.f64 1 (fma.f64 x x 3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (.f64 x x) 3)))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) 1) (/.f64 1 (fma.f64 x x 3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3))))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) 3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 (fma.f64 x x 3) 6)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (+.f64 (pow.f64 x 4) -9))) (fma.f64 x x -3))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 6 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(*.f64 (/.f64 1 (/.f64 6 (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 1 (/.f64 6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x -3)) 6) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) 6) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (.f64 (fma.f64 x x 3) 6)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 1/6 (+.f64 (pow.f64 x 4) -9)) (.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)))
(*.f64 (/.f64 1/6 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 1/6 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))
(.f64 (/.f64 1/6 (+.f64 (pow.f64 x 6) 27)) (.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(.f64 (/.f64 1/6 (-.f64 -3 (.f64 x x))) (-.f64 9 (pow.f64 x 4)))
(*.f64 (/.f64 1/6 (/.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 (/.f64 1/6 (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1/6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(.f64 (/.f64 (.f64 (-.f64 9 (pow.f64 x 4)) 1/6) (-.f64 9 (pow.f64 x 4))) (fma.f64 x x -3))
(.f64 (/.f64 (.f64 (-.f64 9 (pow.f64 x 4)) 1/6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (-.f64 9 (pow.f64 x 4))) (neg.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (neg.f64 (+.f64 (pow.f64 x 6) 27))) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/3)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(neg.f64 (/.f64 (fma.f64 x x -3) -6))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))
(log.f64 (exp.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(-.f64 (pow.f64 x 4) 9)
(-.f64 (exp.f64 (log.f64 (+.f64 -8 (pow.f64 x 4)))) 1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x 4))) 10)
(-.f64 (/.f64 (pow.f64 x 8) (+.f64 (pow.f64 x 4) 9)) (/.f64 81 (+.f64 (pow.f64 x 4) 9)))
(-.f64 (+.f64 -9 (exp.f64 (log1p.f64 (pow.f64 x 4)))) 1)
(*.f64 (+.f64 (pow.f64 x 4) -9) 1)
(*.f64 1 (+.f64 (pow.f64 x 4) -9))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))
(*.f64 (+.f64 (pow.f64 x 8) -81) (/.f64 1 (+.f64 (pow.f64 x 4) 9)))
(.f64 (+.f64 -729 (pow.f64 x 12)) (/.f64 1 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))))
(*.f64 (/.f64 1 (+.f64 (pow.f64 x 4) 9)) (+.f64 (pow.f64 x 8) -81))
(.f64 (/.f64 1 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))) (+.f64 -729 (pow.f64 x 12)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 8) -81)) (+.f64 (pow.f64 x 4) -9))
(.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) (-.f64 (pow.f64 x 12) -729)) (+.f64 (+.f64 (pow.f64 x 8) 81) (.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) (-.f64 (.f64 (pow.f64 x 8) (pow.f64 x 8)) (.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) (-.f64 81 (.f64 (pow.f64 x 4) -9))))) (+.f64 (+.f64 (pow.f64 x 8) -81) (.f64 (pow.f64 x 4) -9)))
(.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) (+.f64 (pow.f64 (pow.f64 x 8) 3) (pow.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) 3))) (-.f64 (+.f64 (.f64 (pow.f64 x 8) (pow.f64 x 8)) (.f64 (-.f64 81 (.f64 (pow.f64 x 4) -9)) (-.f64 81 (.f64 (pow.f64 x 4) -9)))) (.f64 (pow.f64 x 8) (-.f64 81 (.f64 (pow.f64 x 4) -9)))))
(/.f64 (+.f64 (pow.f64 x 4) -9) 1)
(/.f64 1 (/.f64 1 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (/.f64 1 (cbrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (+.f64 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 4) 9))
(/.f64 (+.f64 (pow.f64 x 8) -81) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 x 4) 9))))
(/.f64 (+.f64 -729 (pow.f64 x 12)) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9))))
(/.f64 (+.f64 -729 (pow.f64 x 12)) (/.f64 1 (/.f64 1 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9))))))
(/.f64 (sqrt.f64 (+.f64 -729 (pow.f64 x 12))) (/.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9))) (sqrt.f64 (+.f64 -729 (pow.f64 x 12)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 8) -81)) (/.f64 (+.f64 (pow.f64 x 4) 9) (sqrt.f64 (+.f64 (pow.f64 x 8) -81))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -729 (pow.f64 x 12))) (cbrt.f64 (+.f64 -729 (pow.f64 x 12)))) (/.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9))) (cbrt.f64 (+.f64 -729 (pow.f64 x 12)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 8) -81)) (cbrt.f64 (+.f64 (pow.f64 x 8) -81))) (/.f64 (+.f64 (pow.f64 x 4) 9) (cbrt.f64 (+.f64 (pow.f64 x 8) -81))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 8) -81)) (neg.f64 (+.f64 (pow.f64 x 4) 9)))
(/.f64 (neg.f64 (+.f64 -729 (pow.f64 x 12))) (neg.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9)))))
(/.f64 (-.f64 81 (pow.f64 x 8)) (-.f64 -9 (pow.f64 x 4)))
(/.f64 (-.f64 (pow.f64 x 12) 729) (+.f64 (+.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) 9)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) 1) (+.f64 (pow.f64 x 4) 9))
(/.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) (sqrt.f64 (+.f64 (pow.f64 x 4) 9))) (sqrt.f64 (+.f64 (pow.f64 x 4) 9)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) 9)) (cbrt.f64 (+.f64 (pow.f64 x 4) 9)))) (cbrt.f64 (+.f64 (pow.f64 x 4) 9)))
(/.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) 1) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9))))
(/.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) (sqrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9))))) (sqrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))))
(/.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) (.f64 (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))) (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))))) (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))))
(pow.f64 (+.f64 (pow.f64 x 4) -9) 1)
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 3)
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 2))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 4) -9)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 4) -9))))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 3))
(expm1.f64 (log.f64 (+.f64 -8 (pow.f64 x 4))))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 4) -9)))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 4) -9)) 1))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 4) -9)))
(fma.f64 (.f64 x x) (.f64 x x) -9)
(fma.f64 1 (pow.f64 x 4) -9)
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) -9)

Outputs
-3
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
(-.f64 (pow.f64 x 2) 3)
(fma.f64 x x -3)
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
-9
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(pow.f64 x 4)
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(pow.f64 x 4)
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(-.f64 (pow.f64 x 4) 9)
(+.f64 -9 (pow.f64 x 4))
(+.f64 (*.f64 x x) -3)
(fma.f64 x x -3)
(+.f64 -3 (*.f64 x x))
(fma.f64 x x -3)
(-.f64 (*.f64 x x) 3)
(fma.f64 x x -3)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x x -3))) 1)
(fma.f64 x x -3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 4)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x x))) -4)
(+.f64 -3 (expm1.f64 (log1p.f64 (*.f64 x x))))
(-.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x x))) -4)
(+.f64 -3 (expm1.f64 (log1p.f64 (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 -9 (pow.f64 x 4)) (fma.f64 x x 3))
(*.f64 (fma.f64 x x -3) 1)
(fma.f64 x x -3)
(*.f64 1 (fma.f64 x x -3))
(fma.f64 x x -3)
(*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(/.f64 (+.f64 -9 (pow.f64 x 4)) (fma.f64 x x 3))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(fma.f64 x x -3)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 x x -3)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(/.f64 (+.f64 -9 (pow.f64 x 4)) (fma.f64 x x 3))
(*.f64 (/.f64 1 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(/.f64 (+.f64 -9 (pow.f64 x 4)) (fma.f64 x x 3))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x x 3)))
(/.f64 (neg.f64 (-.f64 9 (pow.f64 x 4))) (fma.f64 x x 3))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))
(*.f64 (/.f64 1 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 -9 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x x 3))))
(/.f64 (/.f64 (+.f64 -9 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (fma.f64 x x 3)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))) (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))))
(/.f64 (*.f64 1 (/.f64 (+.f64 -9 (pow.f64 x 4)) (cbrt.f64 (fma.f64 x x 3)))) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)))
(/.f64 (/.f64 (+.f64 -9 (pow.f64 x 4)) (cbrt.f64 (fma.f64 x x 3))) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (+.f64 -9 (pow.f64 x 4))) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 -3 x)))))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 -9 (pow.f64 x 4)) (+.f64 (pow.f64 x 6) 27)))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))
(fma.f64 x x -3)
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3))))
(.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (+.f64 -9 (pow.f64 x 4))) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 -3 x)))))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 -9 (pow.f64 x 4)) (+.f64 (pow.f64 x 6) 27)))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 6) 27)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) 3)))
(.f64 (.f64 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (+.f64 -9 (pow.f64 x 4))) (+.f64 (pow.f64 x 4) (+.f64 9 (.f64 x (.f64 -3 x)))))
(.f64 (fma.f64 x (.f64 -3 x) (+.f64 (pow.f64 x 4) 9)) (/.f64 (+.f64 -9 (pow.f64 x 4)) (+.f64 (pow.f64 x 6) 27)))
(*.f64 (/.f64 -1 (fma.f64 x x 3)) (-.f64 9 (pow.f64 x 4)))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x x 3)))
(/.f64 (neg.f64 (-.f64 9 (pow.f64 x 4))) (fma.f64 x x 3))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 8) -81)) (cbrt.f64 (+.f64 (pow.f64 x 8) -81))) (/.f64 (+.f64 (pow.f64 x 4) 9) (cbrt.f64 (+.f64 (pow.f64 x 8) -81))))
(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 x 8) -81)) (cbrt.f64 (+.f64 (pow.f64 x 8) -81))) (+.f64 (pow.f64 x 4) 9)) (cbrt.f64 (+.f64 (pow.f64 x 8) -81)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 8) -81)) (/.f64 (+.f64 (pow.f64 x 4) 9) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 8) -81)) (cbrt.f64 (+.f64 (pow.f64 x 8) -81)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 8) -81)) (neg.f64 (+.f64 (pow.f64 x 4) 9)))
(/.f64 (+.f64 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 4) 9))
(/.f64 (neg.f64 (+.f64 -729 (pow.f64 x 12))) (neg.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9)))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 -9 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (fma.f64 (pow.f64 x 4) 9 (+.f64 (pow.f64 x 8) 81)))
(/.f64 (-.f64 81 (pow.f64 x 8)) (-.f64 -9 (pow.f64 x 4)))
(/.f64 (+.f64 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 4) 9))
(/.f64 (-.f64 (pow.f64 x 12) 729) (+.f64 (+.f64 (pow.f64 x 8) 81) (*.f64 (pow.f64 x 4) 9)))
(/.f64 (+.f64 (pow.f64 x 12) -729) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 -9 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (fma.f64 (pow.f64 x 4) 9 (+.f64 (pow.f64 x 8) 81)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) 1) (+.f64 (pow.f64 x 4) 9))
(/.f64 (+.f64 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 4) 9))
(/.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) (sqrt.f64 (+.f64 (pow.f64 x 4) 9))) (sqrt.f64 (+.f64 (pow.f64 x 4) 9)))
(/.f64 (+.f64 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 4) 9))
(/.f64 (/.f64 (+.f64 (pow.f64 x 8) -81) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) 9)) (cbrt.f64 (+.f64 (pow.f64 x 4) 9)))) (cbrt.f64 (+.f64 (pow.f64 x 4) 9)))
(/.f64 (+.f64 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 4) 9))
(/.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) 1) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 (pow.f64 x 4) -9))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 -9 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (fma.f64 (pow.f64 x 4) 9 (+.f64 (pow.f64 x 8) 81)))
(/.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) (sqrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9))))) (sqrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 -9 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (fma.f64 (pow.f64 x 4) 9 (+.f64 (pow.f64 x 8) 81)))
(/.f64 (/.f64 (+.f64 -729 (pow.f64 x 12)) (.f64 (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))) (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))))) (cbrt.f64 (+.f64 81 (-.f64 (pow.f64 x 8) (.f64 (pow.f64 x 4) -9)))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (+.f64 81 (-.f64 (pow.f64 x 8) (*.f64 -9 (pow.f64 x 4)))))
(/.f64 (+.f64 (pow.f64 x 12) -729) (fma.f64 (pow.f64 x 4) 9 (+.f64 (pow.f64 x 8) 81)))
(pow.f64 (+.f64 (pow.f64 x 4) -9) 1)
(+.f64 -9 (pow.f64 x 4))
(pow.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)
(+.f64 -9 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 3)
(+.f64 -9 (pow.f64 x 4))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 3) 1/3)
(+.f64 -9 (pow.f64 x 4))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 2))
(sqrt.f64 (pow.f64 (+.f64 -9 (pow.f64 x 4)) 2))
(fabs.f64 (+.f64 -9 (pow.f64 x 4)))
(log.f64 (exp.f64 (+.f64 (pow.f64 x 4) -9)))
(+.f64 -9 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (pow.f64 x 4) -9))))
(+.f64 -9 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (+.f64 (pow.f64 x 4) -9) 3))
(+.f64 -9 (pow.f64 x 4))
(expm1.f64 (log.f64 (+.f64 -8 (pow.f64 x 4))))
(+.f64 -9 (pow.f64 x 4))
(exp.f64 (log.f64 (+.f64 (pow.f64 x 4) -9)))
(+.f64 -9 (pow.f64 x 4))
(exp.f64 (*.f64 (log.f64 (+.f64 (pow.f64 x 4) -9)) 1))
(+.f64 -9 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (+.f64 (pow.f64 x 4) -9)))
(+.f64 -9 (pow.f64 x 4))
(fma.f64 (.f64 x x) (.f64 x x) -9)
(+.f64 -9 (pow.f64 x 4))
(fma.f64 1 (pow.f64 x 4) -9)
(+.f64 -9 (pow.f64 x 4))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4)) -9)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 6 (fma.f64 x x -3))
✓	0.1b	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)

Compiler

Compiled 23 to 16 computations (30.4% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
0.0ms	x	@	inf	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
0.0ms	x	@	-inf	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
0.0ms	x	@	inf	(/.f64 6 (fma.f64 x x -3))
0.0ms	x	@	0	(/.f64 6 (fma.f64 x x -3))

rewrite63.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`add-sqr-sqrt`
1824×	`*-un-lft-identity`
1720×	`add-cube-cbrt`
1706×	`add-cbrt-cube`
192×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	212	30
2	2370	30

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(/.f64 6 (fma.f64 x x -3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (/.f64 1 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (fma.f64 x x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (fma.f64 x x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 x x -3)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x x -3) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 x x -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))))))

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1576×	`associate-+l+`
722×	`times-frac`
706×	`associate-*r/`
626×	`associate-+r-`
588×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1464
1	316	1460
2	1158	1456
3	5849	1456

Stop Event

1×	node limit

Counts

76 → 86

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(/.f64 6 (pow.f64 x 2))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(*.f64 (fma.f64 x x -3) 1/6)
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 (/.f64 1 (fma.f64 x x -3)) -1))
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))
(/.f64 (fma.f64 x x -3) 6)
(/.f64 -1 (neg.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
(/.f64 1 (/.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (/.f64 6 (cbrt.f64 (fma.f64 x x -3))))
(/.f64 (neg.f64 (fma.f64 x x -3)) -6)
(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))
(sqrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2))
(log.f64 (exp.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3)))) 1)
(*.f64 6 (/.f64 1 (fma.f64 x x -3)))
(*.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(*.f64 1 (/.f64 6 (fma.f64 x x -3)))
(*.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(*.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 6)
(*.f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) -1)
(pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)
(pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)
(pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)
(sqrt.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)))
(log.f64 (exp.f64 (/.f64 6 (fma.f64 x x -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 x x -3)))))
(cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3))
(expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3))))
(exp.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))))
(exp.f64 (*.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))) 1))
(log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
-2
(-.f64 (*.f64 -2/3 (pow.f64 x 2)) 2)
(fma.f64 -2/3 (*.f64 x x) -2)
(fma.f64 (*.f64 x x) -2/3 -2)
(fma.f64 x (*.f64 x -2/3) -2)
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (.f64 -2/3 (pow.f64 x 2))) 2)
(+.f64 (.f64 -2/9 (pow.f64 x 4)) (fma.f64 -2/3 (.f64 x x) -2))
(fma.f64 -2/9 (pow.f64 x 4) (fma.f64 (*.f64 x x) -2/3 -2))
(fma.f64 x (*.f64 x -2/3) (fma.f64 -2/9 (pow.f64 x 4) -2))
(-.f64 (+.f64 (.f64 -2/9 (pow.f64 x 4)) (+.f64 (.f64 -2/3 (pow.f64 x 2)) (*.f64 -2/27 (pow.f64 x 6)))) 2)
(+.f64 (fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/3 (.f64 x x) (.f64 -2/27 (pow.f64 x 6)))) -2)
(+.f64 -2 (fma.f64 -2/9 (pow.f64 x 4) (fma.f64 (.f64 x x) -2/3 (.f64 -2/27 (pow.f64 x 6)))))
(fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/27 (pow.f64 x 6) (fma.f64 x (*.f64 x -2/3) -2)))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x)))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x))) (/.f64 54 (pow.f64 x 6)))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 54 (pow.f64 x 6))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8)))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8))) (/.f64 54 (pow.f64 x 6))))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 162 (pow.f64 x 8)))))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (.f64 6 (/.f64 1 (pow.f64 x 2))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x)))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (*.f64 6 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 6 (*.f64 x x))) (/.f64 54 (pow.f64 x 6)))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 54 (pow.f64 x 6))))
(+.f64 (.f64 54 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 18 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 162 (/.f64 1 (pow.f64 x 8))) (.f64 6 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8)))))
(+.f64 (/.f64 18 (pow.f64 x 4)) (+.f64 (+.f64 (/.f64 6 (*.f64 x x)) (/.f64 162 (pow.f64 x 8))) (/.f64 54 (pow.f64 x 6))))
(+.f64 (/.f64 6 (*.f64 x x)) (+.f64 (/.f64 54 (pow.f64 x 6)) (+.f64 (/.f64 18 (pow.f64 x 4)) (/.f64 162 (pow.f64 x 8)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 (fma.f64 x x -3) 1/6) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 (fma.f64 x x -3) 1/6))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(.f64 (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2)))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 (/.f64 1 (fma.f64 x x -3)) -1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) -1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (fma.f64 x x -3) 6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 -1 (neg.f64 (/.f64 6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 1 (/.f64 6 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 1 (/.f64 (/.f64 6 (fma.f64 x x -3)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (/.f64 6 (cbrt.f64 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (neg.f64 (fma.f64 x x -3)) -6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (exp.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x -3) 1/6)) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3)))) 1)
(/.f64 6 (fma.f64 x x -3))
(*.f64 6 (/.f64 1 (fma.f64 x x -3)))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(/.f64 6 (fma.f64 x x -3))
(*.f64 1 (/.f64 6 (fma.f64 x x -3)))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) (sqrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) (cbrt.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 6)
(/.f64 6 (fma.f64 x x -3))
(*.f64 -6 (/.f64 1 (neg.f64 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (/.f64 6 (fma.f64 x x -3)) 1)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (*.f64 (fma.f64 x x -3) 1/6) -1)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) 2)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 3)
(/.f64 6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3) 1/3)
(/.f64 6 (fma.f64 x x -3))
(sqrt.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)))
(sqrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) -2))
(log.f64 (exp.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 6 (fma.f64 x x -3)))))
(/.f64 6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) 3))
(/.f64 6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(exp.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))
(exp.f64 (*.f64 (log.f64 (/.f64 6 (fma.f64 x x -3))) 1))
(/.f64 6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (/.f64 6 (fma.f64 x x -3))))
(/.f64 6 (fma.f64 x x -3))

eval170.0ms (4.5%)

Compiler: Compiled 7414 to 5705 computations (23.1% saved)

prune70.0ms (1.8%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	448	6	454
Fresh	2	1	3
Picked	1	0	1
Done	0	5	5
Total	451	12	463

Error

Counts

463 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	39.8b	(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
▶	39.6b	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
✓	11.3b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	39.5b	(/.f64 (*.f64 x x) 6)
▶	0.2b	(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
	11.4b	(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
▶	39.5b	(*.f64 (/.f64 x 6) x)
▶	39.6b	(.f64 x (.f64 x 1/6))
✓	39.6b	(.f64 1/6 (.f64 x x))
	24.3b	-1/2

Compiler

Compiled 146 to 111 computations (24% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (fma.f64 x x -3))
✓	0.2b	(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))

Compiler

Compiled 23 to 16 computations (30.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f64 1 (fma.f64 x x -3))
0.0ms	x	@	-inf	(/.f64 1 (fma.f64 x x -3))
0.0ms	x	@	0	(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
0.0ms	x	@	0	(/.f64 1 (fma.f64 x x -3))
0.0ms	x	@	inf	(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))

rewrite63.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1838×	`add-sqr-sqrt`
1800×	`*-un-lft-identity`
1690×	`add-cube-cbrt`
1676×	`add-cbrt-cube`
186×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	208	30
2	2381	30

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
(/.f64 1 (fma.f64 x x -3))

Outputs

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

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

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1428×	`associate-/r/`
1388×	`associate-/l/`
1130×	`associate-+r+`
962×	`associate-+l+`
868×	`unswap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1384
1	338	1368
2	1131	1364
3	4407	1364

Stop Event

1×	node limit

Counts

74 → 83

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
-1/3
(-.f64 (*.f64 -1/9 (pow.f64 x 2)) 1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (.f64 -1/27 (pow.f64 x 4))) 1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 -1/81 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 4)))) 1/3)
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(/.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (fma.f64 x x -3)))) 1)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 1 (.f64 1/6 (fma.f64 x x -3)))
(.f64 (.f64 1/6 (fma.f64 x x -3)) 1)
(.f64 (sqrt.f64 (.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2) (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))))
(*.f64 (fma.f64 x x -3) 1/6)
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(*.f64 -1/6 (/.f64 1 (/.f64 -1 (fma.f64 x x -3))))
(.f64 (.f64 1/6 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))
(.f64 (.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 1)
(pow.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2)
(pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 3)
(pow.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 1/6 (fma.f64 x x -3))) -1)
(sqrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (fma.f64 x x -3))))
(exp.f64 (log.f64 (*.f64 1/6 (fma.f64 x x -3))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (fma.f64 x x -3))) 1))
(log1p.f64 (expm1.f64 (*.f64 1/6 (fma.f64 x x -3))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -3)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 x x -3)))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 1)
(*.f64 (pow.f64 (fma.f64 x x -3) -1/2) (pow.f64 (fma.f64 x x -3) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -3))))
(*.f64 -1 (/.f64 -1 (fma.f64 x x -3)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -3)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -3)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) -1))
(pow.f64 (/.f64 1 (fma.f64 x x -3)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -3) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -3))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) 3) 1/3)
(pow.f64 (fma.f64 x x -3) -1)
(sqrt.f64 (pow.f64 (fma.f64 x x -3) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -3))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x -3)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -3))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -3))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -3))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -3))))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 1/6 x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
-1/3
(-.f64 (*.f64 -1/9 (pow.f64 x 2)) 1/3)
(fma.f64 -1/9 (*.f64 x x) -1/3)
(fma.f64 (*.f64 x x) -1/9 -1/3)
(fma.f64 x (*.f64 x -1/9) -1/3)
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (.f64 -1/27 (pow.f64 x 4))) 1/3)
(+.f64 (fma.f64 -1/9 (.f64 x x) (.f64 -1/27 (pow.f64 x 4))) -1/3)
(fma.f64 (*.f64 x x) -1/9 (fma.f64 -1/27 (pow.f64 x 4) -1/3))
(fma.f64 x (*.f64 x -1/9) (fma.f64 -1/27 (pow.f64 x 4) -1/3))
(-.f64 (+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 -1/81 (pow.f64 x 6)) (*.f64 -1/27 (pow.f64 x 4)))) 1/3)
(+.f64 (fma.f64 -1/9 (.f64 x x) (fma.f64 -1/81 (pow.f64 x 6) (.f64 -1/27 (pow.f64 x 4)))) -1/3)
(+.f64 (fma.f64 -1/27 (pow.f64 x 4) (.f64 -1/81 (pow.f64 x 6))) (fma.f64 (.f64 x x) -1/9 -1/3))
(fma.f64 x (*.f64 x -1/9) (fma.f64 -1/27 (pow.f64 x 4) (fma.f64 -1/81 (pow.f64 x 6) -1/3)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))) (/.f64 27 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 27 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))) (/.f64 9 (pow.f64 x 6)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 27 (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(+.f64 (*.f64 3 (/.f64 1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 2)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))
(+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 9 (pow.f64 x 6))))
(+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 4))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 9 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6)))) (/.f64 27 (pow.f64 x 8)))
(+.f64 (+.f64 (/.f64 27 (pow.f64 x 8)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))) (/.f64 9 (pow.f64 x 6)))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 3 (pow.f64 x 4)) (+.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 27 (pow.f64 x 8)))))
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (fma.f64 x x -3)))) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 1/6 (fma.f64 x x -3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(.f64 1 (.f64 1/6 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 1/6 (fma.f64 x x -3)) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (sqrt.f64 (.f64 1/6 (fma.f64 x x -3))) (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (fma.f64 x x -3))) 2) (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 (fma.f64 x x -3) 1/6)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 -1/6 (neg.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(*.f64 -1/6 (/.f64 1 (/.f64 -1 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 1/6 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(.f64 (.f64 1/6 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (sqrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (cbrt.f64 (*.f64 1/6 (fma.f64 x x -3))) 3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3) 1/3)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(pow.f64 (/.f64 1 (*.f64 1/6 (fma.f64 x x -3))) -1)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(sqrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 2))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (pow.f64 (exp.f64 1/6) (fma.f64 x x -3)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (fma.f64 x x -3)))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (*.f64 1/6 (fma.f64 x x -3)) 3))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (*.f64 1/6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (log.f64 (*.f64 1/6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (fma.f64 x x -3))) 1))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (*.f64 1/6 (fma.f64 x x -3))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -3)))) 1)
(/.f64 1 (fma.f64 x x -3))
(*.f64 1 (/.f64 1 (fma.f64 x x -3)))
(/.f64 1 (fma.f64 x x -3))
(*.f64 (/.f64 1 (fma.f64 x x -3)) 1)
(/.f64 1 (fma.f64 x x -3))
(*.f64 (pow.f64 (fma.f64 x x -3) -1/2) (pow.f64 (fma.f64 x x -3) -1/2))
(/.f64 1 (fma.f64 x x -3))
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) 1) (cbrt.f64 (fma.f64 x x -3)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) (/.f64 1 (cbrt.f64 (fma.f64 x x -3))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) 1) (cbrt.f64 (fma.f64 x x -3)))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -3) -2)) (cbrt.f64 (fma.f64 x x -3)))
(*.f64 -1 (/.f64 -1 (fma.f64 x x -3)))
(/.f64 1 (fma.f64 x x -3))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -3)) -1) (pow.f64 (sqrt.f64 (fma.f64 x x -3)) -1))
(/.f64 1 (fma.f64 x x -3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) -1))
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (/.f64 1 (fma.f64 x x -3)) 1)
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (pow.f64 (fma.f64 x x -3) -1/2) 2)
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x -3))) 3)
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) 3) 1/3)
(/.f64 1 (fma.f64 x x -3))
(pow.f64 (fma.f64 x x -3) -1)
(/.f64 1 (fma.f64 x x -3))
(sqrt.f64 (pow.f64 (fma.f64 x x -3) -2))
(/.f64 1 (fma.f64 x x -3))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x x -3))))
(/.f64 1 (fma.f64 x x -3))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x x -3)))))
(/.f64 1 (fma.f64 x x -3))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) 3))
(/.f64 1 (fma.f64 x x -3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x x -3))))
(/.f64 1 (fma.f64 x x -3))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x x -3))))
(/.f64 1 (fma.f64 x x -3))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x -3)) -1))
(/.f64 1 (fma.f64 x x -3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x -3))) 1))
(/.f64 1 (fma.f64 x x -3))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x x -3))))
(/.f64 1 (fma.f64 x x -3))

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 x 1/6))
✓	0.3b	(*.f64 x 1/6)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(*.f64 x 1/6)
0.0ms	x	@	0	(*.f64 x 1/6)
0.0ms	x	@	inf	(*.f64 x 1/6)
0.0ms	x	@	0	(.f64 x (.f64 x 1/6))
0.0ms	x	@	inf	(.f64 x (.f64 x 1/6))

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1090×	`*-un-lft-identity`
1034×	`pow1`
1016×	`add-cube-cbrt`
1002×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	121	20
2	1383	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f64 x 1/6)
(.f64 x (.f64 x 1/6))

Outputs

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

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

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1452×	`distribute-lft-in`
1444×	`distribute-rgt-in`
1308×	`associate-+r+`
1228×	`associate-+l+`
654×	`unswap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	460
1	138	460
2	584	460
3	2212	460

Stop Event

1×	node limit

Counts

46 → 25

Calls

Call 1

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

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 x 6) x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 x 6) x)
0.0ms	x	@	inf	(*.f64 (/.f64 x 6) x)
0.0ms	x	@	-inf	(*.f64 (/.f64 x 6) x)

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`add-sqr-sqrt`
1200×	`*-un-lft-identity`
1134×	`add-cube-cbrt`
1120×	`add-cbrt-cube`
1108×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	129	13
2	1539	13

Stop Event

1×	node limit

Counts

1 → 17

Calls

Call 1

Inputs
(*.f64 (/.f64 x 6) x)

Outputs

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1556×	`associate-/l*`
1496×	`associate-*r/`
1354×	`associate-*l/`
972×	`associate-r`
964×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	381
1	115	381
2	414	381
3	2458	381

Stop Event

1×	node limit

Counts

29 → 19

Calls

Call 1

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

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

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 6 (*.f64 x x))
✓	0.4b	(pow.f64 (/.f64 6 (*.f64 x x)) -1)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
0.0ms	x	@	inf	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
0.0ms	x	@	0	(/.f64 6 (*.f64 x x))
0.0ms	x	@	-inf	(pow.f64 (/.f64 6 (*.f64 x x)) -1)
0.0ms	x	@	-inf	(/.f64 6 (*.f64 x x))

rewrite58.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1526×	`add-sqr-sqrt`
1486×	`*-un-lft-identity`
1404×	`add-cube-cbrt`
1394×	`add-cbrt-cube`
1382×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	173	26
2	2041	26

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(/.f64 6 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 x x) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x x) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 x x) 1/6)) (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (pow.f64 (pow.f64 x -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 6 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/6 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 6 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 6 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 x)) -6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/6 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 x x) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 x x) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x -2) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -6 (/.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 6 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) 1/6) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 6) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 36 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 6 (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))))))

simplify57.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1638×	`associate-+r+`
1472×	`associate-+l+`
734×	`associate-*r/`
698×	`associate-+l-`
694×	`associate--r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	1196
1	260	1196
2	919	1184
3	4321	1184

Stop Event

1×	node limit

Counts

76 → 68

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(*.f64 1/6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (pow.f64 x 2))
(-.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) 1)
(.f64 (.f64 x x) 1/6)
(.f64 (.f64 (*.f64 x x) 1/6) 1)
(.f64 1 (.f64 (*.f64 x x) 1/6))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))
(.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/6)) (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (.f64 (*.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(.f64 -1/6 (.f64 x (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) -1))
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(/.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(/.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 6 (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (*.f64 x (neg.f64 x)) -6)
(/.f64 1/6 (pow.f64 x -2))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(sqrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4))))
(log.f64 (exp.f64 (.f64 (.f64 x x) 1/6)))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 1/6)))
(exp.f64 (log.f64 (.f64 (.f64 x x) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/6)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 1/6)))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)
(*.f64 6 (pow.f64 x -2))
(.f64 (/.f64 6 (.f64 x x)) 1)
(.f64 1 (/.f64 6 (.f64 x x)))
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (.f64 x x))))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(*.f64 (pow.f64 x -2) 6)
(.f64 -6 (/.f64 1 (.f64 x (neg.f64 x))))
(pow.f64 (/.f64 6 (*.f64 x x)) 1)
(pow.f64 (.f64 (.f64 x x) 1/6) -1)
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)
(sqrt.f64 (/.f64 36 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 6 (.f64 x x))) 1))
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(-.f64 (+.f64 1 (.f64 (.f64 x x) 1/6)) 1)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 x x) 1/6)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (.f64 (*.f64 x x) 1/6) 1)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 1 (.f64 (*.f64 x x) 1/6))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 1 (/.f64 (sqrt.f64 6) x)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (cbrt.f64 (.f64 (*.f64 x x) 1/6)) (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (/.f64 1/6 (pow.f64 x -2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (.f64 (*.f64 x x) 1/6)))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 1/36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 1/6 (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 (cbrt.f64 (/.f64 1/6 (pow.f64 x -2))) (cbrt.f64 (.f64 (pow.f64 x 4) 1/36)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 1/6 (pow.f64 (pow.f64 x -2) -1))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 (/.f64 1 (/.f64 6 x)) x)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 -1/6 (.f64 x (neg.f64 x)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 6) x) -1) (pow.f64 (/.f64 (sqrt.f64 6) x) -1))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(.f64 (pow.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) -1) (pow.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) -1))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (/.f64 6 (.f64 x x)))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 1 (.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(/.f64 x (/.f64 6 x))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 (*.f64 x x) 6)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 -1 (neg.f64 (/.f64 6 (*.f64 x x))))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 1 (/.f64 6 (*.f64 x x)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 1 (/.f64 (/.f64 6 (*.f64 x x)) 1))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 (/.f64 1 (/.f64 (sqrt.f64 6) x)) (/.f64 (sqrt.f64 6) x))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 (cbrt.f64 (pow.f64 x 4)) (/.f64 6 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x 4)) 6) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 (pow.f64 x 4)) 6))
(/.f64 (*.f64 x (neg.f64 x)) -6)
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(/.f64 1/6 (pow.f64 x -2))
(.f64 1/6 (.f64 x x))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (/.f64 6 (*.f64 x x))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (/.f64 6 (.f64 x x)))))
(.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (/.f64 1 (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 36 (pow.f64 x 4)))) (cbrt.f64 (*.f64 6 (pow.f64 x -2))))
(/.f64 1 (.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2)))))
(sqrt.f64 (/.f64 1 (/.f64 36 (pow.f64 x 4))))
(sqrt.f64 (*.f64 1/36 (pow.f64 x 4)))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/36))
(fabs.f64 (/.f64 1/6 (pow.f64 x -2)))
(log.f64 (exp.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (.f64 (.f64 x x) 1/6) 3))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(exp.f64 (log.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (.f64 (*.f64 x x) 1/6)) 1))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (.f64 (.f64 x x) 1/6)))
(.f64 1/6 (.f64 x x))
(/.f64 1/6 (pow.f64 x -2))
(-.f64 (+.f64 1 (/.f64 6 (*.f64 x x))) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 6 (pow.f64 x -2))
(/.f64 6 (*.f64 x x))
(.f64 (/.f64 6 (.f64 x x)) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(.f64 1 (/.f64 6 (.f64 x x)))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (/.f64 (sqrt.f64 6) x) (/.f64 (sqrt.f64 6) x))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(.f64 (cbrt.f64 (/.f64 6 (.f64 x x))) (cbrt.f64 (/.f64 36 (pow.f64 x 4))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (/.f64 6 (.f64 x x))))
(.f64 (cbrt.f64 (/.f64 36 (pow.f64 x 4))) (cbrt.f64 (.f64 6 (pow.f64 x -2))))
(*.f64 (/.f64 6 x) (/.f64 1 x))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(*.f64 (pow.f64 x -2) 6)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(.f64 -6 (/.f64 1 (.f64 x (neg.f64 x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (/.f64 6 (*.f64 x x)) 1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (.f64 (.f64 x x) 1/6) -1)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (/.f64 (sqrt.f64 6) x) 2)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (cbrt.f64 (/.f64 6 (*.f64 x x))) 3)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(pow.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3) 1/3)
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(sqrt.f64 (/.f64 36 (pow.f64 x 4)))
(log.f64 (exp.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(cbrt.f64 (pow.f64 (/.f64 6 (*.f64 x x)) 3))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(expm1.f64 (log1p.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(exp.f64 (log.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(exp.f64 (.f64 (log.f64 (/.f64 6 (.f64 x x))) 1))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))
(log1p.f64 (expm1.f64 (/.f64 6 (*.f64 x x))))
(/.f64 6 (*.f64 x x))
(*.f64 6 (pow.f64 x -2))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
✓	0.6b	(/.f64 x (sqrt.f64 6))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 x (sqrt.f64 6))
0.0ms	x	@	inf	(/.f64 x (sqrt.f64 6))
0.0ms	x	@	-inf	(/.f64 x (sqrt.f64 6))
0.0ms	x	@	0	(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
0.0ms	x	@	-inf	(pow.f64 (/.f64 x (sqrt.f64 6)) 2)

rewrite59.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`add-sqr-sqrt`
1640×	`*-un-lft-identity`
1536×	`add-cube-cbrt`
1522×	`add-cbrt-cube`
170×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	187	24
2	2142	24

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

Inputs
(/.f64 x (sqrt.f64 6))
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)

Outputs

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

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

simplify47.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1730×	`associate-/l*`
1262×	`associate-/r*`
922×	`unswap-sqr`
672×	`*-commutative`
510×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	164	1811
1	395	1347
2	1986	1347

Stop Event

1×	node limit

Counts

83 → 92

Calls

Call 1

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

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

eval72.0ms (1.9%)

Compiler: Compiled 2930 to 2210 computations (24.6% saved)

prune38.0ms (1%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	286	1	287
Fresh	0	2	2
Picked	0	1	1
Done	4	5	9
Total	290	9	299

Error

Counts

299 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.8b	(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
✓	11.3b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	39.5b	(/.f64 (*.f64 x x) 6)
▶	39.6b	(/.f64 x (/.f64 6 x))
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	11.4b	(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
✓	39.6b	(.f64 x (.f64 x 1/6))
	24.3b	-1/2

Compiler

Compiled 72 to 55 computations (23.6% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (pow.f64 x 4) -9)
✓	0.1b	(/.f64 (+.f64 (pow.f64 x 4) -9) 6)
✓	0.1b	(/.f64 1 (fma.f64 x x 3))
✓	10.5b	(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))

Compiler

Compiled 46 to 35 computations (23.9% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
0.0ms	x	@	inf	(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
0.0ms	x	@	-inf	(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
0.0ms	x	@	0	(/.f64 (+.f64 (pow.f64 x 4) -9) 6)
0.0ms	x	@	inf	(/.f64 (+.f64 (pow.f64 x 4) -9) 6)

rewrite125.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1066×	`associate-/r*`
968×	`associate-/l*`
624×	`distribute-rgt-in`
592×	`distribute-lft-in`
562×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	332	67
2	4031	67

Stop Event

1×	node limit

Counts

3 → 253

Calls

Call 1

Inputs
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
(/.f64 1 (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) 6)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (pow.f64 x 4)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3/2 (*.f64 1/6 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) 1/6) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 4) -9) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))) (sqrt.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))) (*.f64 (sqrt.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 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(pow.f64 x 4) 1/6))))))))

simplify143.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1520×	`associate-/l*`
1198×	`times-frac`
1088×	`associate-/r*`
696×	`associate-r`
596×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	660	12145
1	1876	11759

Stop Event

1×	node limit

Counts

289 → 371

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(*.f64 1/6 (pow.f64 x 2))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
1/3
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1/3)
(+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 1/27 (pow.f64 x 4)) 1/3))
(+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 1/27 (pow.f64 x 4)) (+.f64 1/3 (*.f64 -1/81 (pow.f64 x 6)))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 4))))
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(cbrt.f64 (pow.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)) 3))
(expm1.f64 (log1p.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))))
(exp.f64 (log.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))))
(exp.f64 (.f64 (log.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6))) 1))
(log1p.f64 (expm1.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))))

Outputs
-1/2
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
(-.f64 (*.f64 1/6 (pow.f64 x 2)) 1/2)
(fma.f64 1/6 (*.f64 x x) -1/2)
1/3
(+.f64 (*.f64 -1/9 (pow.f64 x 2)) 1/3)
(fma.f64 -1/9 (*.f64 x x) 1/3)
(+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 1/27 (pow.f64 x 4)) 1/3))
(fma.f64 -1/9 (*.f64 x x) (fma.f64 1/27 (pow.f64 x 4) 1/3))
(+.f64 (.f64 -1/9 (pow.f64 x 2)) (+.f64 (.f64 1/27 (pow.f64 x 4)) (+.f64 1/3 (*.f64 -1/81 (pow.f64 x 6)))))
(fma.f64 -1/9 (.f64 x x) (+.f64 (fma.f64 1/27 (pow.f64 x 4) 1/3) (.f64 -1/81 (pow.f64 x 6))))
(+.f64 (fma.f64 -1/9 (.f64 x x) (fma.f64 1/27 (pow.f64 x 4) 1/3)) (.f64 -1/81 (pow.f64 x 6)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))) (.f64 3 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 -3 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (*.f64 3 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 9 (pow.f64 x 6)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 27 (pow.f64 x 8)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (/.f64 27 (pow.f64 x 8))) (/.f64 -3 (pow.f64 x 4)))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 4))))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 3 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -3 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))) (.f64 3 (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 3 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 9 (pow.f64 x 6)) (/.f64 -3 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (.f64 9 (/.f64 1 (pow.f64 x 6)))) (+.f64 (.f64 27 (/.f64 1 (pow.f64 x 8))) (*.f64 3 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 9 (pow.f64 x 6)) (+.f64 (/.f64 3 (pow.f64 x 4)) (/.f64 27 (pow.f64 x 8)))))
(+.f64 (-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 9 (pow.f64 x 6))) (/.f64 27 (pow.f64 x 8))) (/.f64 -3 (pow.f64 x 4)))
-3/2
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(*.f64 1/6 (pow.f64 x 4))
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(*.f64 1/6 (pow.f64 x 4))
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(-.f64 (*.f64 1/6 (pow.f64 x 4)) 3/2)
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1/6 (fma.f64 x x 3))))) 1)
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 6 (fma.f64 x x 3)))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 (*.f64 6 (neg.f64 (fma.f64 x x 3))) -1))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)) (fma.f64 x x 3))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 1 (/.f64 (*.f64 (fma.f64 x x 3) -6) (-.f64 9 (pow.f64 x 4))))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 1 (/.f64 (*.f64 (neg.f64 (fma.f64 x x 3)) 6) (-.f64 9 (pow.f64 x 4))))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 1 (/.f64 (neg.f64 (*.f64 6 (fma.f64 x x 3))) (-.f64 9 (pow.f64 x 4))))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 1 (*.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (neg.f64 (fma.f64 x x 3)))))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 1 (.f64 (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6)))) (sqrt.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)))))
(/.f64 1 (*.f64 (/.f64 (fma.f64 x x 3) (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2))) (sqrt.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)))))
(/.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2)) (fma.f64 x x 3)) (sqrt.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (/.f64 1 (fma.f64 x x 3)) (/.f64 6 (+.f64 (pow.f64 x 4) -9)))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1/6 (fma.f64 x x 3))) 1)
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (sqrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6))) (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6)))))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (pow.f64 (fma.f64 x x 3) -1/2) (/.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)) (pow.f64 (fma.f64 x x 3) -1/2)))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (pow.f64 (fma.f64 x x 3) -1/2) (*.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)) (sqrt.f64 (fma.f64 x x 3))))
(/.f64 (pow.f64 (fma.f64 x x 3) -1/2) (/.f64 (sqrt.f64 (fma.f64 x x 3)) (fma.f64 1/6 (pow.f64 x 4) -3/2)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (*.f64 6 (fma.f64 x x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) (/.f64 6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 1/6 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (.f64 6 (fma.f64 x x 3)) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 1)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) (/.f64 6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 1/6 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (fma.f64 x x 3) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) 1/6)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) (/.f64 6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 1/6 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)))) (sqrt.f64 1/6)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (fma.f64 x x 3) (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2)))) (sqrt.f64 1/6))
(.f64 (sqrt.f64 1/6) (.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)) (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 6 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) (/.f64 6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 1/6 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (*.f64 (fma.f64 x x 3) -6) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) (/.f64 6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 1/6 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (*.f64 (neg.f64 (fma.f64 x x 3)) 6) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) (/.f64 6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 1/6 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (neg.f64 (*.f64 6 (fma.f64 x x 3))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) (/.f64 6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 1/6 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (fma.f64 x x 3) (/.f64 6 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 1/6 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6)))) (sqrt.f64 6)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (*.f64 (/.f64 (fma.f64 x x 3) (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2))) (sqrt.f64 6)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2)) (fma.f64 x x 3)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (sqrt.f64 6)))
(/.f64 (cbrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6))) (/.f64 (fma.f64 x x 3) (pow.f64 (cbrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6))) 2)))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (cbrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6))) (/.f64 (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6)))) (cbrt.f64 (sqrt.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))))))
(/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2)) (/.f64 (/.f64 (fma.f64 x x 3) (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2))) (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2)))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2))) (.f64 (/.f64 (cbrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2)) (fma.f64 x x 3)) (sqrt.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2))))
(/.f64 (cbrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6))) (/.f64 (/.f64 (fma.f64 x x 3) (cbrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6)))) (cbrt.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)))))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6))) 2) (/.f64 (fma.f64 x x 3) (cbrt.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6)))))
(/.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (fma.f64 x x 3))
(/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 3))) (/.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (pow.f64 (fma.f64 x x 3) -2))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 3))) (/.f64 6 (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (pow.f64 (fma.f64 x x 3) -2)))
(*.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 3) -2)) (cbrt.f64 (fma.f64 x x 3))))
(/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 3) -2)) (/.f64 (/.f64 6 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (cbrt.f64 (fma.f64 x x 3)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x x 3))) (/.f64 6 (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (pow.f64 (fma.f64 x x 3) -2)))
(*.f64 (fma.f64 1/6 (pow.f64 x 4) -3/2) (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x x 3) -2)) (cbrt.f64 (fma.f64 x x 3))))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (*.f64 6 (fma.f64 x x 3)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 6 (fma.f64 x x 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (/.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 6) (fma.f64 x x 3)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (/.f64 (*.f64 6 (fma.f64 x x 3)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 6 (fma.f64 x x 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (/.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 6) (fma.f64 x x 3)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (/.f64 (.f64 6 (fma.f64 x x 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 1)))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (.f64 6 (fma.f64 x x 3))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (/.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 6) (fma.f64 x x 3)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (/.f64 (fma.f64 x x 3) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 1/6)))
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(exp.f64 (.f64 (log.f64 (+.f64 -3/2 (.f64 (pow.f64 x 4) 1/6))) 1))
(fma.f64 1/6 (pow.f64 x 4) -3/2)
(log1p.f64 (expm1.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6))))
(fma.f64 1/6 (pow.f64 x 4) -3/2)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 6 x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 x (/.f64 6 x))
0.0ms	x	@	inf	(/.f64 x (/.f64 6 x))
0.0ms	x	@	-inf	(/.f64 x (/.f64 6 x))

rewrite52.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`add-sqr-sqrt`
1352×	`*-un-lft-identity`
1278×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1252×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	133	13
2	1742	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(/.f64 x (/.f64 6 x))

Outputs

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

simplify89.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1378×	`associate-+r+`
1268×	`associate-+l+`
960×	`associate-*r/`
894×	`*-commutative`
620×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	105	821
1	271	797
2	1131	797
3	4591	797

Stop Event

1×	node limit

Counts

51 → 48

Calls

Call 1

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

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

eval268.0ms (7%)

Compiler: Compiled 10548 to 8421 computations (20.2% saved)

prune82.0ms (2.2%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	498	1	499
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	499	9	508

Error

Counts

508 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	39.8b	(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
✓	11.3b	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	11.4b	(/.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)) (fma.f64 x x 3))
✓	39.5b	(/.f64 (*.f64 x x) 6)
✓	39.6b	(/.f64 x (/.f64 6 x))
✓	0.1b	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	39.6b	(.f64 x (.f64 x 1/6))
	24.3b	-1/2

Compiler

Compiled 70 to 53 computations (24.3% saved)

regimes63.0ms (1.6%)

Counts

17 → 1

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(pow.f64 (/.f64 6 (*.f64 x x)) -1)
(/.f64 1/6 (/.f64 1 (fma.f64 x x -3)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
(pow.f64 (/.f64 x (sqrt.f64 6)) 2)
(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
(/.f64 (+.f64 -3/2 (*.f64 (pow.f64 x 4) 1/6)) (fma.f64 x x 3))
(*.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 6) (/.f64 1 (fma.f64 x x 3)))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
(.f64 (sqrt.f64 (fma.f64 x x -3)) (.f64 (sqrt.f64 (fma.f64 x x -3)) 1/6))

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)

Calls

4 calls:

43.0ms	(*.f64 x x)
9.0ms	x
3.0ms	(-.f64 (*.f64 x x) 3)
3.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(/.f64 (-.f64 (*.f64 x x) 3) 6)`
0.1b	1	`(-.f64 (*.f64 x x) 3)`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 151 to 103 computations (31.8% saved)

regimes10.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)

Outputs
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)

Calls

2 calls:

6.0ms	x
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 40 to 23 computations (42.5% saved)

regimes21.0ms (0.6%)

Counts

6 → 3

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)
(/.f64 x (/.f64 6 x))
(/.f64 (*.f64 x x) 6)

Outputs
(*.f64 (/.f64 x 6) x)
-1/2
(/.f64 (*.f64 x x) 6)

Calls

2 calls:

13.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.1b	3	`x`
1.1b	2	`(*.f64 x x)`

Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch26.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.6271596262415977	920758.9838565404
12.0ms	-232.0936633814322	-0.6609980307864933

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 182 to 145 computations (20.3% saved)

regimes35.0ms (0.9%)

Counts

5 → 2

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))
(*.f64 (/.f64 x 6) x)
(/.f64 x (/.f64 6 x))

Outputs
-1/2
(*.f64 (/.f64 x 6) x)

Calls

2 calls:

27.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.1b	3	`x`
1.1b	2	`(*.f64 x x)`

Compiler

Compiled 28 to 17 computations (39.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.647648449270696	53867.46858181356

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.4%)

Counts

3 → 3

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))
(.f64 x (.f64 x 1/6))

Outputs
(.f64 1/6 (.f64 x x))
-1/2
(.f64 x (.f64 x 1/6))

Calls

2 calls:

9.0ms	x
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.2b	3	`x`
1.2b	2	`(*.f64 x x)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch27.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	1.6271596262415977	920758.9838565404
13.0ms	-232.0936633814322	-0.6609980307864933

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 182 to 145 computations (20.3% saved)

regimes14.0ms (0.4%)

Accuracy

Total -61.5b remaining (-5203.1%)

Threshold costs -61.5b (-5203.1%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/2
(.f64 1/6 (.f64 x x))

Outputs
(.f64 1/6 (.f64 x x))
-1/2
(.f64 1/6 (.f64 x x))

Calls

2 calls:

9.0ms	x
4.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.2b	3	`x`
1.2b	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch26.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
13.0ms	1.6271596262415977	920758.9838565404
13.0ms	-232.0936633814322	-0.6609980307864933

Results

23.0ms

272×

body

256

valid

Compiler

Compiled 182 to 145 computations (20.3% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
4×	`sub-neg`
4×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	197
1	50	197
2	52	197

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 (/.f64 x 6) x) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (/.f64 (.f64 x x) 6)))
(if (<=.f64 (.f64 x x) 5) -1/2 (.f64 (/.f64 x 6) x))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 x (.f64 x 1/6))))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 1/6 (.f64 x x))))
-1/2

Outputs
(/.f64 (-.f64 (*.f64 x x) 3) 6)
(/.f64 (+.f64 (*.f64 x x) -3) 6)
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(+.f64 -1/2 (.f64 (.f64 x x) 1/6))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 (/.f64 x 6) x) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (/.f64 (.f64 x x) 6)))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 x (/.f64 x 6)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (/.f64 (.f64 x x) 6)))
(if (<=.f64 (.f64 x x) 5) -1/2 (.f64 (/.f64 x 6) x))
(if (<=.f64 (.f64 x x) 5) -1/2 (.f64 x (/.f64 x 6)))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 x (.f64 x 1/6))))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 (.f64 x x) 1/6) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 x (.f64 x 1/6))))
(if (<=.f64 x -7746191359077253/4503599627370496) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 1/6 (.f64 x x))))
(if (or (<=.f64 x -7746191359077253/4503599627370496) (not (<=.f64 x 7746191359077253/4503599627370496))) (.f64 (.f64 x x) 1/6) -1/2)
-1/2

Compiler

Compiled 87 to 63 computations (27.6% saved)

soundness0.0ms (0%)

end154.0ms (4%)

Compiler: Compiled 81 to 52 computations (35.8% saved)