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)

sample947.0ms (21%)

Results

935.0ms	8256×	body	256	valid
1.0ms	8×	body	256	infinite

Bogosity

preprocess6.0ms (0.1%)

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)

simplify12.0ms (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

0.16%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.16%	(/.f64 (-.f64 (*.f64 x x) 3) 6)

Compiler

Compiled 8 to 6 computations (25% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (*.f64 x x) 3)
✓	0.17%	(/.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
0.0ms	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)

rewrite66.0ms (1.5%)

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)))))

simplify62.0ms (1.4%)

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 (0.4%)

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

prune17.0ms (0.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	66	9	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	10	76

Error

0.01%

Counts

76 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.19%	(pow.f64 (/.f64 6 (fma.f64 x x -3)) -1)
	69.81%	(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 2)
▶	14.62%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3) 6)
▶	14.58%	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
▶	14.58%	(/.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 6)
✓	0.16%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	68.3%	(/.f64 (*.f64 x x) 6)
▶	0.16%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	68.3%	(.f64 1/6 (.f64 x x))
	31.58%	-1/2

Compiler

Compiled 172 to 132 computations (23.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	0.38%	(.f64 (.f64 x x) 1/6)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 (.f64 x x) 1/6)
0.0ms	x	@	inf	(.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 (1.3%)

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)))))

simplify63.0ms (1.4%)

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
✓	0.38%	(.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))

rewrite47.0ms (1%)

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 (0.9%)

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))

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(-.f64 (*.f64 x x) -3)
✓	0.17%	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	13.49%	(/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3))

Compiler

Compiled 46 to 30 computations (34.8% saved)

series2.0ms (0%)

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 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
0.0ms	x	@	-inf	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)

rewrite93.0ms (2.1%)

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	69
1	309	33
2	3969	33

Stop Event

1×	node limit

Counts

3 → 228

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 (*.f64 x x) -3)

Outputs

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

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-r`
720×	`associate-/l*`
704×	`*-commutative`
676×	`associate-/r*`
662×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	536	8308
1	1558	8134

Stop Event

1×	node limit

Counts

264 → 326

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)
3
(+.f64 3 (pow.f64 x 2))
(+.f64 3 (pow.f64 x 2))
(+.f64 3 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 3 (pow.f64 x 2))
(+.f64 3 (pow.f64 x 2))
(+.f64 3 (pow.f64 x 2))
(pow.f64 x 2)
(+.f64 3 (pow.f64 x 2))
(+.f64 3 (pow.f64 x 2))
(+.f64 3 (pow.f64 x 2))
(+.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)))
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(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))) (cbrt.f64 (fma.f64 x 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)) (pow.f64 (cbrt.f64 x) 2) 3)

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))
3
(+.f64 3 (pow.f64 x 2))
(fma.f64 x x 3)
(+.f64 3 (pow.f64 x 2))
(fma.f64 x x 3)
(+.f64 3 (pow.f64 x 2))
(fma.f64 x x 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 3 (pow.f64 x 2))
(fma.f64 x x 3)
(+.f64 3 (pow.f64 x 2))
(fma.f64 x x 3)
(+.f64 3 (pow.f64 x 2))
(fma.f64 x x 3)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 3 (pow.f64 x 2))
(fma.f64 x x 3)
(+.f64 3 (pow.f64 x 2))
(fma.f64 x x 3)
(+.f64 3 (pow.f64 x 2))
(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 (*.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 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(+.f64 (exp.f64 (log1p.f64 (*.f64 x x))) -4)
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (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 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (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 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(*.f64 (/.f64 1 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(*.f64 (-.f64 9 (pow.f64 x 4)) (/.f64 -1 (fma.f64 x x 3)))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (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 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (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 (+.f64 (pow.f64 x 4) -9) (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 (pow.f64 x 4) -9)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 -27 (pow.f64 x 6))) (-.f64 (.f64 x (*.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(*.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 (pow.f64 x 4) -9)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 -27 (pow.f64 x 6))) (-.f64 (.f64 x (*.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(.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 (pow.f64 x 4) -9)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 -27 (pow.f64 x 6))) (-.f64 (.f64 x (*.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(*.f64 (/.f64 -1 (fma.f64 x x 3)) (-.f64 9 (pow.f64 x 4)))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(.f64 (/.f64 1 (+.f64 (pow.f64 x 4) -9)) (.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3)))
(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 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(*.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 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (fma.f64 x x 3))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (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 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 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x 3))) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)))
(*.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 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.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 (cbrt.f64 (fma.f64 x x -3)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))))
(*.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 9 (pow.f64 x 4))) (fma.f64 x x -3))
(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)))
(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 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(.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) (.f64 x (*.f64 -3 x))) (/.f64 (-.f64 9 (pow.f64 x 4)) (+.f64 (neg.f64 (pow.f64 x 6)) -27)))
(.f64 (+.f64 9 (-.f64 (pow.f64 x 4) (.f64 x (*.f64 x 3)))) (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 -27 (pow.f64 x 6))))
(.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 (/.f64 1 (+.f64 (pow.f64 x 6) 27)) (+.f64 (pow.f64 x 4) -9)) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 -27 (pow.f64 x 6))) (-.f64 (.f64 x (*.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(*.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 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(.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) (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9)) (+.f64 (pow.f64 x 8) -81))
(/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x 3)) (+.f64 (pow.f64 x 8) -81))
(.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 (pow.f64 x 8) -81) (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 (pow.f64 x 8) -81) (+.f64 (pow.f64 x 8) (+.f64 81 (.f64 (pow.f64 x 4) -9)))) (fma.f64 x x 3)) (+.f64 (pow.f64 x 12) 729))
(.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 (pow.f64 x 12) -729) (fma.f64 x x 3)) (-.f64 (pow.f64 x 16) (.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 (pow.f64 x 12) -729) (.f64 (-.f64 (pow.f64 x 16) (.f64 (+.f64 81 (.f64 (pow.f64 x 4) 9)) (+.f64 81 (.f64 (pow.f64 x 4) 9)))) (fma.f64 x x 3))) (+.f64 (pow.f64 x 8) (+.f64 -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 12) -729) (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 (pow.f64 x 16) (-.f64 (.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 12) -729) (+.f64 (pow.f64 x 16) (.f64 (+.f64 81 (.f64 (pow.f64 x 4) 9)) (-.f64 (+.f64 81 (.f64 (pow.f64 x 4) 9)) (pow.f64 x 8))))) (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 (+.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 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (sqrt.f64 (fma.f64 x x 3)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (/.f64 (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 (pow.f64 x 4) -9) (.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) 27)) (sqrt.f64 (fma.f64 x x 3)))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (+.f64 (pow.f64 x 6) 27)))) (sqrt.f64 (+.f64 9 (-.f64 (pow.f64 x 4) (.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 (cbrt.f64 (fma.f64 x x -3)) (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)))))
(*.f64 (cbrt.f64 (fma.f64 x x -3)) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2))))
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(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3)))
(fma.f64 x x 3)
(/.f64 -1 (/.f64 (neg.f64 (fma.f64 x x -3)) (+.f64 (pow.f64 x 4) -9)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (/.f64 (neg.f64 (fma.f64 x x -3)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (neg.f64 (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 1 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (fma.f64 x x -3))))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)) (/.f64 (neg.f64 (fma.f64 x x -3)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (neg.f64 (fma.f64 x x -3))) (neg.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (*.f64 1 (/.f64 (fma.f64 x x -3) (cbrt.f64 (+.f64 (pow.f64 x 4) -9)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) 27)) (neg.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(/.f64 (+.f64 (pow.f64 x 6) 27) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(/.f64 (-.f64 -27 (pow.f64 x 6)) (-.f64 (.f64 x (.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 1 (fma.f64 x x 3))))
(fma.f64 x x 3)
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (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))))
(fma.f64 x x 3)
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (+.f64 (pow.f64 x 4) -9)) (neg.f64 (/.f64 1 (fma.f64 x x 3))))
(fma.f64 x x 3)
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) 1) (neg.f64 (fma.f64 x x -3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (sqrt.f64 (fma.f64 x x -3))) (neg.f64 (sqrt.f64 (fma.f64 x x -3))))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x x -3))))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 9 (pow.f64 x 4))) (/.f64 1 (fma.f64 x x 3)))
(fma.f64 x x 3)
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) -1) (fma.f64 x x -3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x -3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (cbrt.f64 (fma.f64 x x -3))) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x -3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3))) (+.f64 (pow.f64 x 4) -9))
(fma.f64 x x 3)
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 9 (pow.f64 x 4))) (/.f64 -1 (fma.f64 x x 3)))
(fma.f64 x x 3)
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (sqrt.f64 (fma.f64 x x 3)))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))))
(fma.f64 x x 3)
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.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 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)) (cbrt.f64 (fma.f64 x x 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (pow.f64 x 4) -9))) (fma.f64 x x -3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.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 (pow.f64 x 6) 27) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(/.f64 (-.f64 -27 (pow.f64 x 6)) (-.f64 (.f64 x (.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.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))) (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(*.f64 (sqrt.f64 (fma.f64 x x 3)) (/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (sqrt.f64 (fma.f64 x x -3))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.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 (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)) (cbrt.f64 (fma.f64 x x 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.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)))
(fma.f64 x x 3)
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.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 (.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2)) (sqrt.f64 (fma.f64 x x 3))) (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 (sqrt.f64 (fma.f64 x x 3))))
(.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x 3))) (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (cbrt.f64 (fma.f64 x x -3)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (sqrt.f64 (fma.f64 x x 3))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (/.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 (pow.f64 x 4) -9) (*.f64 (cbrt.f64 (fma.f64 x x -3)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)))))
(.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (.f64 (cbrt.f64 (fma.f64 x x -3)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) 2))) (cbrt.f64 (pow.f64 (fma.f64 x x 3) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) 27) 1) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))
(/.f64 (+.f64 (pow.f64 x 6) 27) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(/.f64 (-.f64 -27 (pow.f64 x 6)) (-.f64 (.f64 x (.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) 27) (sqrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3))))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))
(/.f64 (+.f64 (pow.f64 x 6) 27) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(/.f64 (-.f64 -27 (pow.f64 x 6)) (-.f64 (.f64 x (.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 6) 27) (.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 x -3)))))) (cbrt.f64 (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (*.f64 x -3)))))
(/.f64 (+.f64 (pow.f64 x 6) 27) (+.f64 (+.f64 (pow.f64 x 4) 9) (.f64 x (.f64 -3 x))))
(/.f64 (-.f64 -27 (pow.f64 x 6)) (-.f64 (.f64 x (.f64 x 3)) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (sqrt.f64 (neg.f64 (fma.f64 x x -3)))) (sqrt.f64 (neg.f64 (fma.f64 x x -3))))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (*.f64 (cbrt.f64 (neg.f64 (fma.f64 x x -3))) (cbrt.f64 (neg.f64 (fma.f64 x x -3))))) (cbrt.f64 (neg.f64 (fma.f64 x x -3))))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (neg.f64 (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (fma.f64 x x -3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x -3))
(/.f64 (/.f64 (-.f64 9 (pow.f64 x 4)) (neg.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) (fma.f64 x x -3))
(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))
(fabs.f64 (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)) (pow.f64 (cbrt.f64 x) 2) 3)

localize75.0ms (1.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.15%	(/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9)))
✓	0.17%	(/.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 6)
✓	13.47%	(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))

Compiler

Compiled 55 to 41 computations (25.5% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 6)
0.0ms	x	@	inf	(/.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 6)
0.0ms	x	@	inf	(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
0.0ms	x	@	0	(/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))
0.0ms	x	@	-inf	(/.f64 (/.f64 1 (/.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) -9))) 6)

rewrite92.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`associate-/r*`
1124×	`associate-/l*`
868×	`associate-/r/`
470×	`associate-/l/`
322×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	99
1	334	87
2	4065	87

Stop Event

1×	node limit

Counts

3 → 174

Calls

Call 1

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

Outputs

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

simplify110.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1286×	`associate-/r/`
586×	`+-commutative`
570×	`*-commutative`
518×	`associate-r`
496×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	468	7556
1	1288	7376
2	5498	7372

Stop Event

1×	node limit

Counts

210 → 254

Calls

Call 1

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

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

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.15%	(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)
✓	0.17%	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3) 6)
✓	30.8%	(cbrt.f64 (*.f64 x x))
✓	48.88%	(cbrt.f64 (pow.f64 x 4))

Compiler

Compiled 41 to 23 computations (43.9% saved)

series3.0ms (0.1%)

Counts

4 → 6

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(cbrt.f64 (pow.f64 x 4))
0.0ms	x	@	0	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3) 6)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 x 4))
0.0ms	x	@	inf	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3) 6)
0.0ms	x	@	-inf	(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3) 6)

rewrite84.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`*-commutative`
630×	`unswap-sqr`
556×	`swap-sqr`
434×	`sqr-pow`
410×	`pow-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	86
1	286	54
2	3174	54

Stop Event

1×	node limit

Counts

4 → 182

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 x 4))
(cbrt.f64 (*.f64 x x))
(/.f64 (fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3) 6)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) -3)

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

simplify79.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-*r/`
546×	`fma-def`
544×	`associate-r`
498×	`distribute-lft-neg-out`
494×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	4168
1	855	3764
2	2791	3718

Stop Event

1×	node limit

Counts

188 → 221

Calls

Call 1

Inputs
-1/2
-1/2
-1/2
-3
-3
-3
(+.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (cbrt.f64 x)))) 1)
(*.f64 x (cbrt.f64 x))
(.f64 (.f64 x (cbrt.f64 x)) 1)
(.f64 (.f64 x (cbrt.f64 x)) (*.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))
(.f64 1 (.f64 x (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(*.f64 (cbrt.f64 x) x)
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (*.f64 x (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/6) (pow.f64 (cbrt.f64 (pow.f64 x 8)) 1/6)) (cbrt.f64 (*.f64 x (cbrt.f64 x))))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (*.f64 x (cbrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 x))) (*.f64 (sqrt.f64 x) (sqrt.f64 (cbrt.f64 x))))
(.f64 (.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (cbrt.f64 (sqrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (cbrt.f64 (.f64 x (cbrt.f64 x)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (cbrt.f64 (*.f64 x (cbrt.f64 x)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))))) (.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x)) (*.f64 (sqrt.f64 (cbrt.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3/2))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 x (cbrt.f64 x)))) (exp.f64 (log1p.f64 (.f64 x (cbrt.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 x (cbrt.f64 x)))) 1))
(pow.f64 x 4/3)
(pow.f64 (pow.f64 x 4) 1/3)
(pow.f64 (*.f64 x (cbrt.f64 x)) 1)
(pow.f64 (*.f64 x x) 2/3)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 2)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 6)
(pow.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) 3)
(pow.f64 (cbrt.f64 x) 4)
(sqrt.f64 (cbrt.f64 (pow.f64 x 8)))
(log.f64 (exp.f64 (*.f64 x (cbrt.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (cbrt.f64 x)))))
(expm1.f64 (log1p.f64 (*.f64 x (cbrt.f64 x))))
(exp.f64 (log.f64 (*.f64 x (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 x (cbrt.f64 x))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (pow.f64 (cbrt.f64 x) 2))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 x (cbrt.f64 x))))
(.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))))
(.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 8)))) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (pow.f64 (cbrt.f64 x) 2))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x))))) (.f64 (cbrt.f64 (cbrt.f64 x)) (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (cbrt.f64 (cbrt.f64 x))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 x 4) 1/12) (pow.f64 (pow.f64 x 4) 1/12))
(.f64 (pow.f64 (.f64 x (cbrt.f64 x)) 1/4) (pow.f64 (*.f64 x (cbrt.f64 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1))
(pow.f64 x 2/3)
(pow.f64 (pow.f64 x 4) 1/6)
(pow.f64 (*.f64 x (cbrt.f64 x)) 1/2)
(pow.f64 (*.f64 x x) 1/3)
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3)
(pow.f64 (cbrt.f64 x) 2)
(sqrt.f64 (*.f64 x (cbrt.f64 x)))
(fabs.f64 (pow.f64 (cbrt.f64 x) 2))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))
(+.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2))) -1)
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(+.f64 -1/2 (.f64 1/6 (.f64 x x)))
(+.f64 -1/2 (.f64 (.f64 x x) 1/6))
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(-.f64 0 (.f64 (+.f64 (.f64 x x) -3) -1/6))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2))) 1)
(.f64 (+.f64 (.f64 x x) -3) 1/6)
(.f64 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2) 1)
(.f64 1 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2))
(.f64 (sqrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)) (sqrt.f64 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)) 1/6))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)) (/.f64 1 (/.f64 6 (sqrt.f64 (+.f64 (*.f64 x x) -3)))))
(.f64 (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)) (cbrt.f64 (.f64 (pow.f64 (+.f64 (*.f64 x x) -3) 2) 1/36)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2) 1/36)) (cbrt.f64 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)) (.f64 (cbrt.f64 (+.f64 (.f64 x x) -3)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)) (/.f64 1 (/.f64 6 (cbrt.f64 (+.f64 (*.f64 x x) -3)))))
(.f64 1/6 (+.f64 (.f64 x x) -3))
(.f64 (-.f64 3 (.f64 x x)) -1/6)
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)) 1/6) (sqrt.f64 (+.f64 (.f64 x x) -3)))
(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x x) -3)) 1/6) (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)))
(.f64 -1 (.f64 (+.f64 (*.f64 x x) -3) -1/6))
(.f64 -1/6 (-.f64 3 (.f64 x x)))
(.f64 (/.f64 1 (/.f64 6 (sqrt.f64 (+.f64 (.f64 x x) -3)))) (sqrt.f64 (+.f64 (*.f64 x x) -3)))
(.f64 (/.f64 1 (/.f64 6 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)))) (cbrt.f64 (+.f64 (*.f64 x x) -3)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)) 6) (sqrt.f64 (+.f64 (*.f64 x x) -3)))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)) 6) (cbrt.f64 (+.f64 (*.f64 x x) -3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2))) (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2))) (cbrt.f64 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2) 1/36)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (*.f64 x x) -3) 2) 1/36)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)))) (.f64 (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2) 1/36))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2) 1/36))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)) 3/2) (pow.f64 (cbrt.f64 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2)) 3/2))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (.f64 1/6 (*.f64 x x)) -1/2) 3) 1/6))
(.f64 (pow.f64 (/.f64 6 (+.f64 (.f64 x x) -3)) -1/2) (pow.f64 (/.f64 6 (+.f64 (*.f64 x x) -3)) -1/2))
(pow.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2) 3) 1/3)
(pow.f64 (/.f64 6 (+.f64 (*.f64 x x) -3)) -1)
(neg.f64 (.f64 (+.f64 (.f64 x x) -3) -1/6))
(neg.f64 (.f64 (.f64 (+.f64 (*.f64 x x) -3) -1/6) 1))
(neg.f64 (.f64 1 (.f64 (+.f64 (*.f64 x x) -3) -1/6)))
(neg.f64 (/.f64 (-.f64 3 (*.f64 x x)) 6))
(sqrt.f64 (.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2) 1/36))
(log.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x x) -3)) 1/6))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)))
(exp.f64 (log.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)))
(log1p.f64 (expm1.f64 (+.f64 (.f64 1/6 (.f64 x x)) -1/2)))
(+.f64 (*.f64 x x) -3)
(+.f64 -3 (*.f64 x x))
(+.f64 (exp.f64 (log.f64 (+.f64 -2 (*.f64 x x)))) -1)
(+.f64 (neg.f64 (*.f64 x (neg.f64 x))) -3)
(-.f64 0 (-.f64 3 (*.f64 x x)))
(-.f64 (exp.f64 (log.f64 (+.f64 -2 (*.f64 x x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x x))) 4)
(-.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(.f64 (+.f64 (.f64 x x) -3) 1)
(.f64 1 (+.f64 (.f64 x x) -3))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)) (sqrt.f64 (+.f64 (*.f64 x x) -3)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) -3)))))
(.f64 (cbrt.f64 (+.f64 (.f64 x x) -3)) (cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) -3) 2)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)) (cbrt.f64 (+.f64 (*.f64 x x) -3)))
(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)) (neg.f64 (neg.f64 (cbrt.f64 (+.f64 (*.f64 x x) -3)))))
(.f64 (sqrt.f64 (-.f64 3 (.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 3 (*.f64 x x)))))
(.f64 (.f64 (cbrt.f64 (-.f64 3 (.f64 x x))) (cbrt.f64 (-.f64 3 (.f64 x x)))) (neg.f64 (cbrt.f64 (-.f64 3 (*.f64 x x)))))
(.f64 -1 (-.f64 3 (.f64 x x)))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) -3))) (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) -3))))
(.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2))) (neg.f64 (cbrt.f64 (+.f64 (*.f64 x x) -3))))
(.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (+.f64 (.f64 x x) 3)))
(.f64 (+.f64 -27 (pow.f64 x 6)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) -3))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 3 (.f64 x x)))) (sqrt.f64 (-.f64 3 (*.f64 x x))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (-.f64 3 (.f64 x x))) (cbrt.f64 (-.f64 3 (.f64 x x))))) (cbrt.f64 (-.f64 3 (*.f64 x x))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)))) (sqrt.f64 (+.f64 (*.f64 x x) -3)))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)))) (cbrt.f64 (+.f64 (*.f64 x x) -3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x x) -3))) (cbrt.f64 (+.f64 (.f64 x x) -3))) (.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x x) -3))) (cbrt.f64 (+.f64 (*.f64 x x) -3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 x x) -3))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2)))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 (.f64 x x) -3))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) -3) 2)))))
(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x x) -3)) (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x x) -3)))) (.f64 (cbrt.f64 (+.f64 (.f64 x x) -3)) (sqrt.f64 (cbrt.f64 (+.f64 (*.f64 x x) -3)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2))) (cbrt.f64 (sqrt.f64 (+.f64 (.f64 x x) -3)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 x x) -3) 2))) (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) -3)))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x x) -3)) 3/2) (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) -3)) 3/2))
(.f64 (pow.f64 (pow.f64 (+.f64 (.f64 x x) -3) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (*.f64 x x) -3) 3) 1/6))
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 3) (+.f64 (pow.f64 x 4) -9)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (.f64 x x) -3)) (+.f64 -27 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 x 4) -9) (+.f64 (*.f64 x x) 3))
(/.f64 (+.f64 -27 (pow.f64 x 6)) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (.f64 x x) -3)))
(/.f64 (+.f64 -27 (pow.f64 x 6)) (+.f64 9 (-.f64 (pow.f64 x 4) (.f64 (.f64 x x) -3))))
(/.f64 (.f64 1 (+.f64 (pow.f64 x 4) -9)) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 1 (+.f64 -27 (pow.f64 x 6))) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) -3)))
(/.f64 (.f64 (+.f64 (pow.f64 x 4) -9) 1) (+.f64 (.f64 x x) 3))
(/.f64 (.f64 (+.f64 -27 (pow.f64 x 6)) 1) (-.f64 (+.f64 (pow.f64 x 4) 9) (.f64 (*.f64 x x) -3)))
(/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 -3 (*.f64 x x)))
(/.f64 (-.f64 (.f64 (exp.f64 (log.f64 (+.f64 -2 (.f64 x x)))) (exp.f64 (log.f64 (+.f64 -2 (.f64 x x))))) 1) (+.f64 (exp.f64 (log.f64 (+.f64 -2 (.f64 x x)))) 1))
(pow.f64 (+.f64 (*.f64 x x) -3) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) -3)) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) -3)) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 x x) -3) 3) 1/3)
(neg.f64 (-.f64 3 (*.f64 x x)))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 x x) -3) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 x x) -3)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 x x) -3))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) -3) 3))
(expm1.f64 (log.f64 (+.f64 -2 (*.f64 x x))))
(exp.f64 (log.f64 (+.f64 (*.f64 x x) -3)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 x x) -3)))

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

eval363.0ms (8.1%)

Compiler: Compiled 17327 to 13035 computations (24.8% saved)

prune155.0ms (3.4%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	873	3	876
Fresh	2	2	4
Picked	1	0	1
Done	1	4	5
Total	877	9	886

Error

0.01%

Counts

886 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.18%	(pow.f64 (/.f64 6 (+.f64 (*.f64 x x) -3)) -1)
▶	68.38%	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓	14.58%	(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (-.f64 (*.f64 x x) -3)) 6)
✓	0.16%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
▶	68.3%	(/.f64 (*.f64 x x) 6)
✓	0.16%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	68.31%	(.f64 x (.f64 x 1/6))
✓	68.3%	(.f64 1/6 (.f64 x x))
	31.58%	-1/2

Compiler

Compiled 67 to 51 computations (23.9% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.23%	(.f64 x (.f64 x 1/6))
✓	0.52%	(*.f64 x 1/6)

Compiler

Compiled 11 to 7 computations (36.4% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite52.0ms (1.2%)

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 (0.9%)

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))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.32%	(/.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)

rewrite48.0ms (1.1%)

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))))))))

simplify47.0ms (1%)

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))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.02%	(*.f64 x (sqrt.f64 1/6))
✓	0.57%	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)

Compiler

Compiled 16 to 13 computations (18.8% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1494×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1370×	`add-cube-cbrt`
1356×	`add-cbrt-cube`
1342×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	184	24
2	2011	24

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
(*.f64 x (sqrt.f64 1/6))

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

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

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1144×	`distribute-lft-in`
1138×	`distribute-rgt-in`
942×	`associate-+r+`
864×	`associate-+l+`
798×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1131
1	193	801
2	818	793
3	2334	793
4	7871	793

Stop Event

1×	node limit

Counts

61 → 43

Calls

Call 1

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

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

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.01%	(+.f64 (*.f64 x x) -3)
✓	0.1%	(/.f64 6 (+.f64 (*.f64 x x) -3))
✓	0.13%	(pow.f64 (/.f64 6 (+.f64 (*.f64 x x) -3)) -1)

Compiler

Compiled 29 to 17 computations (41.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite92.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`associate-*r/`
802×	`*-commutative`
628×	`associate-*l/`
566×	`unswap-sqr`
540×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	225	39
2	2697	39

Stop Event

1×	node limit

Counts

3 → 297

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 1/6 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 -1/6 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 (*.f64 x x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 (*.f64 x (neg.f64 x)) -1/6))))) (#(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 -1/6 (*.f64 x (neg.f64 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 (*.f64 (*.f64 x (neg.f64 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 -1 (*.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 (*.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 (-.f64 3 (*.f64 x x)) -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 (-.f64 3 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) -1) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)) -1/4) (pow.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 x x -3) 6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -6 (fma.f64 x x -3)))))) (#(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 6 (fma.f64 x x -3)))))) (#(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 (sqrt.f64 (fma.f64 x x -3)) (*.f64 1 (/.f64 6 (sqrt.f64 (fma.f64 x x -3)))))))) 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6)) 729) (/.f64 1 (+.f64 9 (*.f64 (*.f64 x x) (fma.f64 x x 3))))) (-.f64 (pow.f64 x 6) -27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (/.f64 1 (+.f64 9 (*.f64 (*.f64 x x) (fma.f64 x x 3))))) (+.f64 (*.f64 (pow.f64 x 6) (pow.f64 x 6)) (-.f64 729 (*.f64 -27 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 (cbrt.f64 (fma.f64 x x 3)) (cbrt.f64 (fma.f64 x x 3)))) (cbrt.f64 (fma.f64 x x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) 1) (+.f64 9 (*.f64 (*.f64 x x) (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (sqrt.f64 (+.f64 9 (*.f64 (*.f64 x x) (fma.f64 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#<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (neg.f64 (fma.f64 x x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (neg.f64 (+.f64 9 (*.f64 (*.f64 x x) (fma.f64 x x 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 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)) (pow.f64 (cbrt.f64 x) 2) -3)))))

simplify151.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

948×	`associate-r`
800×	`associate-l`
708×	`associate-/r*`
692×	`*-commutative`
628×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	695	11799
1	1782	10523
2	7026	10523

Stop Event

1×	node limit

Counts

333 → 443

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))))))
-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 -1/2 (.f64 1/6 (.f64 x x)))
(+.f64 -1/2 (.f64 -1/6 (.f64 x (neg.f64 x))))
(+.f64 -1/2 (.f64 (.f64 x x) 1/6))
(+.f64 -1/2 (.f64 (.f64 x (neg.f64 x)) -1/6))
(+.f64 (.f64 1/6 (.f64 x x)) -1/2)
(+.f64 (.f64 -1/6 (.f64 x (neg.f64 x))) -1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(+.f64 (.f64 (.f64 x (neg.f64 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 -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 (*.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 (-.f64 3 (.f64 x x)) -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 (-.f64 3 (.f64 x x)))
(*.f64 (pow.f64 (/.f64 1 (fma.f64 x x -3)) -1) 1/6)
(*.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 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) -1) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 6 (fma.f64 x x -3))) 2) -1))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 1) (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (/.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 6)) (sqrt.f64 (fma.f64 x 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 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 -6)) (sqrt.f64 (-.f64 3 (*.f64 x x))))
(*.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 1/6 (/.f64 1 (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (/.f64 1/6 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) 1) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 6)) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (/.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)) (cbrt.f64 -6)) (cbrt.f64 (-.f64 3 (*.f64 x x))))
(.f64 (.f64 (pow.f64 6 -1/2) (pow.f64 6 -1/2)) (pow.f64 (/.f64 1 (fma.f64 x x -3)) -1))
(.f64 (.f64 (pow.f64 1 -1/2) (pow.f64 1 -1/2)) (*.f64 (fma.f64 x x -3) 1/6))
(.f64 (.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -1/4) (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))) (.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -1/4) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1/2) (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (/.f64 6 (fma.f64 x x -3)) -1/4)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (/.f64 6 (fma.f64 x x -3)) -1/4)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1/2) (pow.f64 (/.f64 6 (fma.f64 x x -3)) -1/4)) (*.f64 (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1/2) (pow.f64 (/.f64 6 (fma.f64 x x -3)) -1/4)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1/2)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6))) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1/2)))
(.f64 (.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -1/4) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1/2)) (*.f64 (pow.f64 (/.f64 6 (fma.f64 x x -3)) -1/4) (pow.f64 (sqrt.f64 (/.f64 6 (fma.f64 x x -3))) -1/2)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6))) (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36)))))
(.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)))) (.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) (sqrt.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) (cbrt.f64 (sqrt.f64 (.f64 (fma.f64 x x -3) 1/6)))) (.f64 (sqrt.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 x x -3) 2) 1/36))) (cbrt.f64 (sqrt.f64 (*.f64 (fma.f64 x x -3) 1/6)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 x x -3) 1/6)) 3/2) (pow.f64 (cbrt.f64 (*.f64 (fma.f64 x x -3) 1/6)) 3/2))
(*.f64 (pow.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)) -1/4) (pow.f64 (/.f64 36 (pow.f64 (fma.f64 x x -3) 2)) -1/4))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 x x -3) 1/6) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x -3) 1/6) 3) 1/6))
(/.f64 (fma.f64 x x -3) 6)
(/.f64 -1 (/.f64 -6 (fma.f64 x x -3)))
(/.f64 (*.f64 (fma.f64 x x -3) 1/6) 1)
(/.f64 1 (/.f64 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 (fma.f64 x x -3)) (/.f64 6 (sqrt.f64 (fma.f64 x x -3))))
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(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))))
(log1p.f64 (expm1.f64 (/.f64 6 (fma.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 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(-.f64 (+.f64 -3 (exp.f64 (log1p.f64 (*.f64 x x)))) 1)
(*.f64 (fma.f64 x x -3) 1)
(.f64 -1 (-.f64 3 (.f64 x x)))
(*.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 (fma.f64 x x -3)) (neg.f64 (neg.f64 (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 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (neg.f64 (neg.f64 (cbrt.f64 (fma.f64 x x -3)))))
(*.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (fma.f64 x x 3)))
(.f64 (+.f64 -27 (pow.f64 x 6)) (/.f64 1 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(.f64 (sqrt.f64 (-.f64 3 (.f64 x x))) (neg.f64 (sqrt.f64 (-.f64 3 (*.f64 x x)))))
(.f64 (.f64 (cbrt.f64 (-.f64 3 (.f64 x x))) (cbrt.f64 (-.f64 3 (.f64 x x)))) (neg.f64 (cbrt.f64 (-.f64 3 (*.f64 x x)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -3))) (neg.f64 (sqrt.f64 (fma.f64 x x -3))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (neg.f64 (cbrt.f64 (fma.f64 x x -3))))
(*.f64 (/.f64 1 (fma.f64 x x 3)) (+.f64 (pow.f64 x 4) -9))
(.f64 (/.f64 1 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))) (+.f64 -27 (pow.f64 x 6)))
(*.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 (pow.f64 x 4) (.f64 -3 (fma.f64 x x -3))))
(.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))) (-.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) 3))))) (-.f64 (pow.f64 x 4) (+.f64 9 (.f64 (.f64 x x) 3))))
(.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (+.f64 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (+.f64 9 (.f64 (.f64 x x) 3)) 3))) (+.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (.f64 (+.f64 9 (.f64 (.f64 x x) 3)) (-.f64 (+.f64 9 (.f64 (.f64 x x) 3)) (pow.f64 x 4)))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 3 (.f64 x x)))) (sqrt.f64 (-.f64 3 (*.f64 x x))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (-.f64 3 (.f64 x x))) (cbrt.f64 (-.f64 3 (.f64 x x))))) (cbrt.f64 (-.f64 3 (*.f64 x x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -3)))) (sqrt.f64 (fma.f64 x x -3)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))) (cbrt.f64 (fma.f64 x x -3)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 (fma.f64 x x -3))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -3))) (cbrt.f64 (fma.f64 x x -3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x x -3)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -3)))) (*.f64 (cbrt.f64 (fma.f64 x x -3)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -3)))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -3)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -3)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x x -3) 3) 1/6))
(/.f64 (fma.f64 x x -3) 1)
(/.f64 1 (/.f64 1 (fma.f64 x x -3)))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 1 (sqrt.f64 (fma.f64 x x -3))))
(/.f64 (cbrt.f64 (fma.f64 x x -3)) (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (/.f64 1 (cbrt.f64 (fma.f64 x x -3))))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (+.f64 (pow.f64 x 4) -9) (/.f64 1 (/.f64 1 (fma.f64 x x 3))))
(/.f64 (+.f64 -27 (pow.f64 x 6)) (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))
(/.f64 (+.f64 -27 (pow.f64 x 6)) (/.f64 1 (/.f64 1 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (fma.f64 x x 3) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (sqrt.f64 (+.f64 -27 (pow.f64 x 6))) (/.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))) (sqrt.f64 (+.f64 -27 (pow.f64 x 6)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))) (/.f64 (fma.f64 x x 3) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))))
(/.f64 (.f64 (cbrt.f64 (+.f64 -27 (pow.f64 x 6))) (cbrt.f64 (+.f64 -27 (pow.f64 x 6)))) (/.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3))) (cbrt.f64 (+.f64 -27 (pow.f64 x 6)))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 9) (neg.f64 (fma.f64 x x 3)))
(/.f64 (neg.f64 (+.f64 -27 (pow.f64 x 6))) (neg.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 729) (.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))) (-.f64 (pow.f64 x 6) -27)))
(/.f64 (-.f64 9 (pow.f64 x 4)) (-.f64 -3 (*.f64 x x)))
(/.f64 (-.f64 9 (pow.f64 x 4)) (.f64 1 (-.f64 -3 (.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 x 6)) 81) (*.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (-.f64 729 (*.f64 -27 (pow.f64 x 6))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) 729) (.f64 (fma.f64 x x 3) (+.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (+.f64 81 (.f64 (pow.f64 x 4) 9)))))
(/.f64 (.f64 1 (-.f64 9 (pow.f64 x 4))) (-.f64 -3 (.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (sqrt.f64 (fma.f64 x x 3)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (+.f64 -27 (pow.f64 x 6)))) (sqrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (fma.f64 x x 3)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (+.f64 -27 (pow.f64 x 6)))) (cbrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 9) 1) (neg.f64 (fma.f64 x x 3)))
(/.f64 (.f64 (neg.f64 (+.f64 -27 (pow.f64 x 6))) 1) (neg.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (.f64 (-.f64 9 (pow.f64 x 4)) 1) (-.f64 -3 (.f64 x x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x 3)))
(/.f64 (.f64 (sqrt.f64 (+.f64 -27 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x 3)))
(/.f64 (.f64 (cbrt.f64 (+.f64 -27 (pow.f64 x 6))) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) (pow.f64 x 6)) 81) (/.f64 1 (fma.f64 x x 3))) (+.f64 (pow.f64 x 4) 9))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) 729) (/.f64 1 (fma.f64 x x 3))) (+.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (+.f64 81 (.f64 (pow.f64 x 4) 9))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 729) (/.f64 1 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))) (-.f64 (pow.f64 x 6) -27))
(/.f64 (.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (/.f64 1 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (-.f64 729 (*.f64 -27 (pow.f64 x 6)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (fma.f64 x x 3)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 (cbrt.f64 (fma.f64 x x 3)) (cbrt.f64 (fma.f64 x x 3)))) (cbrt.f64 (fma.f64 x x 3)))
(/.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) 1) (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))
(/.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (sqrt.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))) (sqrt.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3)))))
(/.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3)))) (cbrt.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3)))))) (cbrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 9)) (fma.f64 x x 3))
(/.f64 (neg.f64 (neg.f64 (+.f64 -27 (pow.f64 x 6)))) (+.f64 9 (.f64 (.f64 x x) (fma.f64 x 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)
(neg.f64 (-.f64 3 (*.f64 x x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (neg.f64 (fma.f64 x x 3))))
(neg.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (neg.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 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)))
(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)

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)
(-.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 -2/3 (*.f64 x x) -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 (fma.f64 -2/9 (pow.f64 x 4) (fma.f64 -2/3 (.f64 x x) -2)) (.f64 -2/27 (pow.f64 x 6)))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 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 18 (pow.f64 x 4)) (/.f64 (/.f64 6 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 (/.f64 6 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 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 6 x) x) (/.f64 54 (pow.f64 x 6)))) (/.f64 162 (pow.f64 x 8)))
(/.f64 6 (pow.f64 x 2))
(/.f64 6 (*.f64 x x))
(/.f64 (/.f64 6 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 18 (pow.f64 x 4)) (/.f64 (/.f64 6 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 (/.f64 6 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 (/.f64 18 (pow.f64 x 4)) (+.f64 (/.f64 (/.f64 6 x) x) (/.f64 54 (pow.f64 x 6)))) (/.f64 162 (pow.f64 x 8)))
-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 -1/2 (.f64 1/6 (.f64 x x)))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 -1/2 (.f64 -1/6 (.f64 x (neg.f64 x))))
(fma.f64 1/6 (*.f64 x x) -1/2)
(*.f64 1/6 (fma.f64 x x -3))
(+.f64 -1/2 (.f64 (.f64 x x) 1/6))
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(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (-.f64 9 (pow.f64 x 4)) (.f64 1 (-.f64 -3 (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (-.f64 (.f64 (.f64 x x) (pow.f64 x 6)) 81) (*.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (fma.f64 (.f64 x x) (pow.f64 x 6) -81) (.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (+.f64 (pow.f64 x 8) -81) (*.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (-.f64 729 (*.f64 -27 (pow.f64 x 6))))))
(/.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3)))) (+.f64 (pow.f64 x 12) (+.f64 729 (.f64 27 (pow.f64 x 6))))))
(/.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (.f64 (fma.f64 x (.f64 x (fma.f64 x x 3)) 9) (+.f64 (+.f64 (pow.f64 x 12) 729) (*.f64 (pow.f64 x 6) 27))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) 729) (.f64 (fma.f64 x x 3) (+.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (+.f64 81 (.f64 (pow.f64 x 4) 9)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 4) 3) -729) (.f64 (fma.f64 x x 3) (fma.f64 (.f64 x x) (pow.f64 x 6) (+.f64 81 (*.f64 (pow.f64 x 4) 9)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 4) 3) -729) (*.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 9 81))))
(/.f64 (.f64 1 (-.f64 9 (pow.f64 x 4))) (-.f64 -3 (.f64 x x)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -3)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))) (sqrt.f64 (fma.f64 x x 3)))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(*.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 (fma.f64 x x -3)) (sqrt.f64 (+.f64 -27 (pow.f64 x 6)))) (sqrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3))))) (sqrt.f64 (+.f64 (pow.f64 x 6) -27))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -27)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 3)) 9))) (sqrt.f64 (fma.f64 x x -3)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (+.f64 (pow.f64 x 4) -9))) (cbrt.f64 (fma.f64 x x 3)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (cbrt.f64 (fma.f64 x x 3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (fma.f64 x x 3))) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (+.f64 -27 (pow.f64 x 6)))) (cbrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (+.f64 (pow.f64 x 6) -27))) (cbrt.f64 (+.f64 9 (.f64 x (*.f64 x (fma.f64 x x 3))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -27)) (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 3)) 9))) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 9) 1) (neg.f64 (fma.f64 x x 3)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (.f64 (neg.f64 (+.f64 -27 (pow.f64 x 6))) 1) (neg.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (fma.f64 x (*.f64 x (fma.f64 x x 3)) 9))
(/.f64 (.f64 (-.f64 9 (pow.f64 x 4)) 1) (-.f64 -3 (.f64 x x)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -9)) (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (fma.f64 x x 3)))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (fma.f64 x x 3)) (sqrt.f64 (+.f64 (pow.f64 x 4) -9))))
(*.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 -27 (pow.f64 x 6))) (sqrt.f64 (fma.f64 x x -3))) (sqrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (sqrt.f64 (fma.f64 x x -3)) (/.f64 (sqrt.f64 (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3))))) (sqrt.f64 (+.f64 (pow.f64 x 6) -27))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 x 6) -27)) (sqrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 3)) 9))) (sqrt.f64 (fma.f64 x x -3)))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (fma.f64 x x 3)))
(/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (/.f64 (cbrt.f64 (fma.f64 x x 3)) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 4) -9)) (cbrt.f64 (fma.f64 x x 3))) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(/.f64 (.f64 (cbrt.f64 (+.f64 -27 (pow.f64 x 6))) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2)) (cbrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2) (cbrt.f64 (+.f64 (pow.f64 x 6) -27))) (cbrt.f64 (+.f64 9 (.f64 x (*.f64 x (fma.f64 x x 3))))))
(.f64 (/.f64 (cbrt.f64 (+.f64 (pow.f64 x 6) -27)) (cbrt.f64 (fma.f64 x (.f64 x (fma.f64 x x 3)) 9))) (pow.f64 (cbrt.f64 (fma.f64 x x -3)) 2))
(/.f64 (.f64 (-.f64 (.f64 (*.f64 x x) (pow.f64 x 6)) 81) (/.f64 1 (fma.f64 x x 3))) (+.f64 (pow.f64 x 4) 9))
(/.f64 (fma.f64 (.f64 x x) (pow.f64 x 6) -81) (.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (+.f64 (pow.f64 x 8) -81) (*.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 4) 9)))
(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 x 4) 3) 729) (/.f64 1 (fma.f64 x x 3))) (+.f64 (.f64 (.f64 x x) (pow.f64 x 6)) (+.f64 81 (.f64 (pow.f64 x 4) 9))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 4) 3) -729) (.f64 (fma.f64 x x 3) (fma.f64 (.f64 x x) (pow.f64 x 6) (+.f64 81 (*.f64 (pow.f64 x 4) 9)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x 4) 3) -729) (*.f64 (fma.f64 x x 3) (+.f64 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 9 81))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) 729) (/.f64 1 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))) (-.f64 (pow.f64 x 6) -27))
(/.f64 (+.f64 (pow.f64 x 12) -729) (.f64 (+.f64 9 (.f64 x (*.f64 x (fma.f64 x x 3)))) (+.f64 (pow.f64 x 6) 27)))
(/.f64 (/.f64 (+.f64 (pow.f64 x 12) -729) (+.f64 (pow.f64 x 6) 27)) (fma.f64 x (*.f64 x (fma.f64 x x 3)) 9))
(/.f64 (.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (/.f64 1 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))) (+.f64 (.f64 (pow.f64 x 6) (pow.f64 x 6)) (-.f64 729 (*.f64 -27 (pow.f64 x 6)))))
(/.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (.f64 (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3)))) (+.f64 (pow.f64 x 12) (+.f64 729 (.f64 27 (pow.f64 x 6))))))
(/.f64 (+.f64 -19683 (pow.f64 (pow.f64 x 6) 3)) (.f64 (fma.f64 x (.f64 x (fma.f64 x x 3)) 9) (+.f64 (+.f64 (pow.f64 x 12) 729) (*.f64 (pow.f64 x 6) 27))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) 1) (fma.f64 x x 3))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (sqrt.f64 (fma.f64 x x 3))) (sqrt.f64 (fma.f64 x x 3)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (*.f64 (cbrt.f64 (fma.f64 x x 3)) (cbrt.f64 (fma.f64 x x 3)))) (cbrt.f64 (fma.f64 x x 3)))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) 1) (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (fma.f64 x (*.f64 x (fma.f64 x x 3)) 9))
(/.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (sqrt.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))) (sqrt.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (fma.f64 x (*.f64 x (fma.f64 x x 3)) 9))
(/.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (.f64 (cbrt.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3)))) (cbrt.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3)))))) (cbrt.f64 (+.f64 9 (.f64 (*.f64 x x) (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (fma.f64 x (*.f64 x (fma.f64 x x 3)) 9))
(/.f64 (neg.f64 (+.f64 (neg.f64 (pow.f64 x 4)) 9)) (fma.f64 x x 3))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(/.f64 (neg.f64 (neg.f64 (+.f64 -27 (pow.f64 x 6)))) (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (fma.f64 x (*.f64 x (fma.f64 x 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)
(neg.f64 (-.f64 3 (*.f64 x x)))
(fma.f64 x x -3)
(neg.f64 (/.f64 (+.f64 (pow.f64 x 4) -9) (neg.f64 (fma.f64 x x 3))))
(-.f64 (/.f64 (pow.f64 x 4) (fma.f64 x x 3)) (/.f64 9 (fma.f64 x x 3)))
(/.f64 (+.f64 (pow.f64 x 4) -9) (fma.f64 x x 3))
(neg.f64 (/.f64 (+.f64 -27 (pow.f64 x 6)) (neg.f64 (+.f64 9 (.f64 (.f64 x x) (fma.f64 x x 3))))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (+.f64 9 (.f64 x (.f64 x (fma.f64 x x 3)))))
(/.f64 (+.f64 (pow.f64 x 6) -27) (fma.f64 x (*.f64 x (fma.f64 x x 3)) 9))
(sqrt.f64 (pow.f64 (fma.f64 x x -3) 2))
(fabs.f64 (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)
(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)) (pow.f64 (cbrt.f64 x) 2) -3)

eval541.0ms (12%)

Compiler: Compiled 9692 to 7350 computations (24.2% saved)

prune137.0ms (3%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	537	3	540
Fresh	0	1	1
Picked	1	0	1
Done	1	6	7
Total	539	10	549

Error

Counts

549 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	68.31%	(pow.f64 (/.f64 (/.f64 6 x) x) -1)
✓	68.38%	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓	0.16%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
✓	68.3%	(/.f64 (*.f64 x x) 6)
✓	0.16%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
▶	68.25%	(*.f64 (/.f64 x 6) x)
▶	68.32%	(.f64 (.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
✓	68.31%	(.f64 x (.f64 x 1/6))
✓	68.3%	(.f64 1/6 (.f64 x x))
	31.58%	-1/2

Compiler

Compiled 67 to 50 computations (25.4% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.02%	(*.f64 x (sqrt.f64 1/6))
✓	0.32%	(.f64 (.f64 (*.f64 x (sqrt.f64 1/6)) x) (sqrt.f64 1/6))
✓	0.34%	(.f64 (.f64 x (sqrt.f64 1/6)) x)

Compiler

Compiled 24 to 18 computations (25% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1560×	`add-sqr-sqrt`
1540×	`*-un-lft-identity`
1430×	`add-cube-cbrt`
1406×	`add-cbrt-cube`
1392×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	44
1	178	30
2	2049	30

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1104×	`distribute-rgt-in`
1100×	`distribute-lft-in`
970×	`fma-def`
966×	`associate-+r+`
906×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	960
1	156	720
2	653	720
3	2187	720

Stop Event

1×	node limit

Counts

48 → 30

Calls

Call 1

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

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.23%	(*.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)

rewrite49.0ms (1.1%)

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))))))))

simplify42.0ms (0.9%)

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))

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.31%	(/.f64 (/.f64 6 x) x)
✓	0.7%	(pow.f64 (/.f64 (/.f64 6 x) x) -1)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1706×	`add-sqr-sqrt`
1668×	`*-un-lft-identity`
1578×	`add-cube-cbrt`
1562×	`add-cbrt-cube`
160×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	177	26
2	2187	26

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1580×	`associate-+r-`
1314×	`associate-/r*`
1262×	`associate-/l*`
678×	`unswap-sqr`
648×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	200	1683
1	519	1641
2	1727	1641
3	7183	1641

Stop Event

1×	node limit

Counts

109 → 97

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

eval71.0ms (1.6%)

Compiler: Compiled 1672 to 1165 computations (30.3% saved)

prune20.0ms (0.5%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	0	1	1
Picked	1	0	1
Done	2	6	8
Total	163	8	171

Error

Counts

171 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	68.38%	(pow.f64 (*.f64 x (sqrt.f64 1/6)) 2)
✓	0.16%	(/.f64 (-.f64 (*.f64 x x) 3) 6)
	68.27%	(/.f64 x (/.f64 6 x))
✓	0.16%	(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
✓	68.25%	(*.f64 (/.f64 x 6) x)
✓	68.31%	(.f64 x (.f64 x 1/6))
✓	68.3%	(.f64 1/6 (.f64 x x))
	31.58%	-1/2

Compiler

Compiled 49 to 36 computations (26.5% saved)

regimes26.0ms (0.6%)

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

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

Calls

4 calls:

8.0ms	x
7.0ms	(*.f64 x x)
3.0ms	(/.f64 (-.f64 (*.f64 x x) 3) 6)
3.0ms	(-.f64 (*.f64 x x) 3)

Results

Error	Segments	Branch
0.16%	1	`x`
0.16%	1	`(/.f64 (-.f64 (*.f64 x x) 3) 6)`
0.16%	1	`(-.f64 (*.f64 x x) 3)`
0.16%	1	`(*.f64 x x)`

Compiler

Compiled 148 to 101 computations (31.8% saved)

regimes20.0ms (0.4%)

Counts

6 → 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))
(/.f64 (*.f64 x x) 6)

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

Calls

2 calls:

12.0ms	x
6.0ms	(*.f64 x x)

Results

Error	Segments	Branch
2.02%	3	`x`
2.02%	2	`(*.f64 x x)`

Compiler

Compiled 33 to 19 computations (42.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8992318711557423	48020.54771739334

Compiler

Compiled 12 to 9 computations (25% saved)

regimes15.0ms (0.3%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	x
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
2.05%	3	`x`
2.06%	2	`(*.f64 x x)`

Compiler

Compiled 18 to 11 computations (38.9% saved)

bsearch73.0ms (1.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
60.0ms	0.11881101479496496	219.1359115192974
13.0ms	-1006.6728861983927	-0.9482783721860065

Results

69.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

regimes14.0ms (0.3%)

Accuracy

Total -61.3b remaining (-4641.2%)

Threshold costs -61.3b (-4641.2%)

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
5.0ms	(*.f64 x x)

Results

Error	Segments	Branch
2.06%	3	`x`
2.06%	2	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

bsearch28.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.11881101479496496	219.1359115192974
14.0ms	-1006.6728861983927	-0.9482783721860065

Results

25.0ms

256×

body

256

valid

Compiler

Compiled 172 to 137 computations (20.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`sub-neg`
2×	`1-exp`
2×	`+-commutative`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
1	42	133
2	43	133

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) 1/6) 1/2)
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 (/.f64 x 6) x))
(if (<=.f64 x -7/4) (.f64 x (.f64 x 1/6)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 1/6 (.f64 x x))))
(if (<=.f64 x -7/4) (.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) 1/6) 1/2)
(+.f64 (.f64 (.f64 x x) 1/6) -1/2)
(+.f64 -1/2 (.f64 (.f64 x x) 1/6))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 (/.f64 x 6) x))
(if (<=.f64 (.f64 x x) 1) -1/2 (.f64 x (/.f64 x 6)))
(if (<=.f64 x -7/4) (.f64 x (.f64 x 1/6)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 1/6 (.f64 x x))))
(if (<=.f64 x -7/4) (.f64 x (.f64 x 1/6)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 (.f64 x x) 1/6)))
(if (<=.f64 x -7/4) (.f64 1/6 (.f64 x x)) (if (<=.f64 x 7746191359077253/4503599627370496) -1/2 (.f64 1/6 (.f64 x x))))
(if (or (<=.f64 x -7/4) (not (<=.f64 x 7746191359077253/4503599627370496))) (.f64 (.f64 x x) 1/6) -1/2)
-1/2

Compiler

Compiled 59 to 43 computations (27.1% saved)

soundness0.0ms (0%)

end56.0ms (1.2%)

Compiler: Compiled 55 to 36 computations (34.5% saved)

Details

analyze4.0ms (0.1%)

sample947.0ms (21%)

preprocess6.0ms (0.1%)

simplify12.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite66.0ms (1.5%)

simplify62.0ms (1.4%)

eval19.0ms (0.4%)

prune17.0ms (0.4%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite57.0ms (1.3%)

simplify63.0ms (1.4%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite47.0ms (1%)

simplify39.0ms (0.9%)

localize16.0ms (0.4%)

series2.0ms (0%)

rewrite93.0ms (2.1%)

simplify87.0ms (1.9%)

localize75.0ms (1.7%)

series2.0ms (0.1%)

rewrite92.0ms (2%)

simplify110.0ms (2.4%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

rewrite84.0ms (1.9%)

simplify79.0ms (1.8%)

eval363.0ms (8.1%)

prune155.0ms (3.4%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite52.0ms (1.2%)

simplify42.0ms (0.9%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite48.0ms (1.1%)

simplify47.0ms (1%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite55.0ms (1.2%)

simplify67.0ms (1.5%)

localize10.0ms (0.2%)

series2.0ms (0%)

rewrite92.0ms (2%)

simplify151.0ms (3.4%)

eval541.0ms (12%)

prune137.0ms (3%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite58.0ms (1.3%)

simplify47.0ms (1.1%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite49.0ms (1.1%)

simplify42.0ms (0.9%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite68.0ms (1.5%)

simplify77.0ms (1.7%)

eval71.0ms (1.6%)

prune20.0ms (0.5%)

regimes26.0ms (0.6%)

regimes20.0ms (0.4%)

bsearch0.0ms (0%)

regimes15.0ms (0.3%)

bsearch73.0ms (1.6%)

regimes14.0ms (0.3%)

bsearch28.0ms (0.6%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end56.0ms (1.2%)

Profiling