Details

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	74.6%	25.4%	0%	0%	0%	0
0%	0%	74.6%	25.4%	0%	0%	0%	1
50%	37.3%	37.3%	25.4%	0%	0%	0%	2
66.7%	37.3%	18.7%	25.4%	18.7%	0%	0%	3
83.3%	46.7%	9.3%	25.4%	18.7%	0%	0%	4
90.9%	46.7%	4.7%	25.4%	23.3%	0%	0%	5
95.5%	49%	2.3%	25.4%	23.3%	0%	0%	6
97.7%	49%	1.2%	25.4%	24.5%	0%	0%	7
98.8%	49.6%	0.6%	25.4%	24.5%	0%	0%	8
99.4%	49.9%	0.3%	25.4%	24.5%	0%	0%	9
99.7%	49.9%	0.1%	25.4%	24.6%	0%	0%	10
99.9%	49.9%	0.1%	25.4%	24.7%	0%	0%	11
99.9%	49.9%	0%	25.4%	24.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.4s (3.8%)

Results

1.1s	4160×	body	1024	valid
676.0ms	449×	body	2048	valid
375.0ms	2063×	body	512	valid
185.0ms	1584×	body	256	valid
0.0ms	1×	body	256	infinite

Bogosity

preprocess6.0ms (0%)

Algorithm

2×	egg-herbie

Rules

2×	`rational_best-simplify-18`
2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
2	10	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify19.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`rational_best-simplify-18`
2×	`rational_best-simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	9	11
2	10	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% 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

59.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	59.4b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 5 to 4 computations (20% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.1b	(-.f64 (exp.f64 x) 1)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite180.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`rational_best-simplify-1`
594×	`rational_best-simplify-39`
572×	`rational_best-simplify-82`
564×	`rational_best-simplify-55`
492×	`rational_best-simplify-63`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	45	11
2	100	11
3	321	11
4	1053	11
5	7046	11

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 x) 1/2) (+.f64 -1 (.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (.f64 (exp.f64 x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (.f64 (exp.f64 x) 1/2)) (.f64 (exp.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (+.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (exp.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (.f64 (exp.f64 x) 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (+.f64 (neg.f64 (.f64 (exp.f64 x) -3/2)) -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (.f64 (+.f64 (exp.f64 x) -1) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (.f64 (exp.f64 x) 1/2) 3/2) 2) (/.f64 (-.f64 -1/2 (.f64 (exp.f64 x) -3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 (+.f64 -2 (.f64 (exp.f64 x) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1/2 (.f64 (exp.f64 x) -3/2)) 2) (/.f64 (-.f64 (.f64 (exp.f64 x) 1/2) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (neg.f64 (.f64 (exp.f64 x) -3/2)) -3/2) 2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (+.f64 (.f64 (exp.f64 x) -3/2) 1)) 2) (/.f64 (+.f64 -1 (.f64 (exp.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (+.f64 1/2 (.f64 (exp.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (exp.f64 x) 4) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 (exp.f64 x) -2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 (exp.f64 x) -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1/2 (+.f64 2 (.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (+.f64 (.f64 (exp.f64 x) 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (exp.f64 x) 4) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (.f64 (exp.f64 x) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (.f64 (exp.f64 x) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4) (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 4 (.f64 (exp.f64 x) 4)) (-.f64 4 (.f64 (exp.f64 x) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (exp.f64 x)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 x) 1/2) (+.f64 -1 (*.f64 (exp.f64 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1 (*.f64 (exp.f64 x) 1/2)) (*.f64 (exp.f64 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (+.f64 -1/2 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 -1/2 (exp.f64 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 x) -3/2)) -3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (*.f64 (exp.f64 x) 1/2) 3/2) 2) (/.f64 (-.f64 -1/2 (*.f64 (exp.f64 x) -3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 (+.f64 -2 (*.f64 (exp.f64 x) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 -1/2 (*.f64 (exp.f64 x) -3/2)) 2) (/.f64 (-.f64 (*.f64 (exp.f64 x) 1/2) 3/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 x) -3/2)) -3/2) 2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 (+.f64 (*.f64 (exp.f64 x) -3/2) 1)) 2) (/.f64 (+.f64 -1 (*.f64 (exp.f64 x) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (+.f64 1/2 (*.f64 (exp.f64 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 x) 4) -4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (exp.f64 x) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 (exp.f64 x) -1/2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (+.f64 2 (*.f64 (exp.f64 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 (exp.f64 x) 4) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (exp.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 x) 4) -4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 4 (*.f64 (exp.f64 x) 4)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 4) (*.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 4 (*.f64 (exp.f64 x) 4)) (-.f64 4 (*.f64 (exp.f64 x) 4))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 1 (exp.f64 x)))))))

simplify91.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational_best-simplify-44`
916×	`rational_best-simplify-55`
850×	`rational_best-simplify-73`
800×	`rational_best-simplify-47`
724×	`rational_best-simplify-68`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	664
1	326	652
2	907	652
3	4126	652

Stop Event

1×	node limit

Counts

48 → 56

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 -1 (exp.f64 x))
(+.f64 (.f64 (exp.f64 x) 1/2) (+.f64 -1 (.f64 (exp.f64 x) 1/2)))
(+.f64 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (.f64 (exp.f64 x) 1/2) -1/2))
(+.f64 (+.f64 -1 (.f64 (exp.f64 x) 1/2)) (.f64 (exp.f64 x) 1/2))
(+.f64 -1/2 (+.f64 -1/2 (exp.f64 x)))
(+.f64 (+.f64 -1/2 (exp.f64 x)) -1/2)
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2)))
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 x) -3/2)) -3/2) 2))
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 4))
(+.f64 (/.f64 (-.f64 (.f64 (exp.f64 x) 1/2) 3/2) 2) (/.f64 (-.f64 -1/2 (.f64 (exp.f64 x) -3/2)) 2))
(+.f64 (/.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 (+.f64 -2 (*.f64 (exp.f64 x) 3)) 4))
(+.f64 (/.f64 (+.f64 -1 (.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -3) 4))
(+.f64 (/.f64 (-.f64 -1/2 (.f64 (exp.f64 x) -3/2)) 2) (/.f64 (-.f64 (.f64 (exp.f64 x) 1/2) 3/2) 2))
(+.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 x) -3/2)) -3/2) 2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (exp.f64 x) -3/2) 1)) 2) (/.f64 (+.f64 -1 (.f64 (exp.f64 x) 1/2)) 2))
(*.f64 1 (+.f64 (exp.f64 x) -1))
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(.f64 2 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2))
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(.f64 -2 (+.f64 1/2 (.f64 (exp.f64 x) -1/2)))
(.f64 (+.f64 (.f64 (exp.f64 x) 4) -4) 1/4)
(.f64 (+.f64 2 (.f64 (exp.f64 x) -2)) -1/2)
(.f64 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2) 2)
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(.f64 (+.f64 1/2 (.f64 (exp.f64 x) -1/2)) -2)
(.f64 -1/2 (+.f64 2 (.f64 (exp.f64 x) -2)))
(.f64 1/4 (+.f64 (.f64 (exp.f64 x) 4) -4))
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 4) -4) 4)
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) -2)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 1/2)
(/.f64 (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4) 8)
(/.f64 (-.f64 4 (*.f64 (exp.f64 x) 4)) -4)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4) (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4)) 16)
(/.f64 (+.f64 (-.f64 4 (.f64 (exp.f64 x) 4)) (-.f64 4 (.f64 (exp.f64 x) 4))) -8)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(neg.f64 (-.f64 1 (exp.f64 x)))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/24 (pow.f64 x 4)) x)))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (exp.f64 x) -1) 0)
(+.f64 (exp.f64 x) -1)
(+.f64 0 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(+.f64 -1 (exp.f64 x))
(+.f64 (exp.f64 x) -1)
(+.f64 (.f64 (exp.f64 x) 1/2) (+.f64 -1 (.f64 (exp.f64 x) 1/2)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2) (+.f64 (.f64 (exp.f64 x) 1/2) -1/2))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 -1 (.f64 (exp.f64 x) 1/2)) (.f64 (exp.f64 x) 1/2))
(+.f64 (exp.f64 x) -1)
(+.f64 -1/2 (+.f64 -1/2 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 -1/2 (exp.f64 x)) -1/2)
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2)))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 x) -3/2)) -3/2) 2))
(+.f64 (exp.f64 x) -1)
(+.f64 (+.f64 (/.f64 (exp.f64 x) 4) -1/4) (/.f64 (*.f64 (+.f64 (exp.f64 x) -1) 3) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (-.f64 (.f64 (exp.f64 x) 1/2) 3/2) 2) (/.f64 (-.f64 -1/2 (.f64 (exp.f64 x) -3/2)) 2))
(/.f64 (+.f64 (-.f64 -1/2 (.f64 (exp.f64 x) -3/2)) (-.f64 (.f64 1/2 (exp.f64 x)) 3/2)) 2)
(+.f64 (-.f64 (.f64 (exp.f64 x) 1/4) 3/4) (-.f64 -1/4 (.f64 (exp.f64 x) -3/4)))
(+.f64 (-.f64 (.f64 (exp.f64 x) 1/4) 3/4) (-.f64 (.f64 (exp.f64 x) 3/4) 1/4))
(+.f64 (/.f64 (+.f64 (exp.f64 x) -2) 4) (/.f64 (+.f64 -2 (*.f64 (exp.f64 x) 3)) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (+.f64 -1 (.f64 (exp.f64 x) 2)) 4) (/.f64 (+.f64 (.f64 (exp.f64 x) 2) -3) 4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (-.f64 -1/2 (.f64 (exp.f64 x) -3/2)) 2) (/.f64 (-.f64 (.f64 (exp.f64 x) 1/2) 3/2) 2))
(/.f64 (+.f64 (-.f64 -1/2 (.f64 (exp.f64 x) -3/2)) (-.f64 (.f64 1/2 (exp.f64 x)) 3/2)) 2)
(+.f64 (-.f64 (.f64 (exp.f64 x) 1/4) 3/4) (-.f64 -1/4 (.f64 (exp.f64 x) -3/4)))
(+.f64 (-.f64 (.f64 (exp.f64 x) 1/4) 3/4) (-.f64 (.f64 (exp.f64 x) 3/4) 1/4))
(+.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 x) -3/2)) -3/2) 2) (+.f64 (/.f64 (exp.f64 x) 4) -1/4))
(+.f64 (exp.f64 x) -1)
(+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (exp.f64 x) -3/2) 1)) 2) (/.f64 (+.f64 -1 (.f64 (exp.f64 x) 1/2)) 2))
(+.f64 (exp.f64 x) -1)
(*.f64 1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -1)
(*.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(*.f64 -1 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)
(.f64 2 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 1/2)
(+.f64 (exp.f64 x) -1)
(*.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(.f64 -2 (+.f64 1/2 (.f64 (exp.f64 x) -1/2)))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (.f64 (exp.f64 x) 4) -4) 1/4)
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 2 (.f64 (exp.f64 x) -2)) -1/2)
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 (.f64 (exp.f64 x) 1/2) -1/2) 2)
(+.f64 (exp.f64 x) -1)
(.f64 1/2 (+.f64 (.f64 (exp.f64 x) 2) -2))
(+.f64 (exp.f64 x) -1)
(.f64 (+.f64 1/2 (.f64 (exp.f64 x) -1/2)) -2)
(+.f64 (exp.f64 x) -1)
(.f64 -1/2 (+.f64 2 (.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -1)
(.f64 1/4 (+.f64 (.f64 (exp.f64 x) 4) -4))
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 2) -2) 2)
(+.f64 (exp.f64 x) -1)
(/.f64 (-.f64 1 (exp.f64 x)) -1)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 4) -4) 4)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) -2)) -2)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (*.f64 (exp.f64 x) 1/2) -1/2) 1/2)
(+.f64 (exp.f64 x) -1)
(/.f64 (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4) 8)
(+.f64 (exp.f64 x) -1)
(/.f64 (-.f64 4 (*.f64 (exp.f64 x) 4)) -4)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4) (.f64 (+.f64 (.f64 (exp.f64 x) 2) -2) 4)) 16)
(+.f64 (exp.f64 x) -1)
(/.f64 (+.f64 (-.f64 4 (.f64 (exp.f64 x) 4)) (-.f64 4 (.f64 (exp.f64 x) 4))) -8)
(+.f64 (exp.f64 x) -1)
(pow.f64 (+.f64 (exp.f64 x) -1) 1)
(+.f64 (exp.f64 x) -1)
(neg.f64 (-.f64 1 (exp.f64 x)))
(+.f64 (exp.f64 x) -1)

eval12.0ms (0%)

Compiler: Compiled 588 to 432 computations (26.5% saved)

prune10.0ms (0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Error

0.0b

Counts

57 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.4b	(-.f64 (exp.f64 x) 1)
▶	0.0b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
▶	0.2b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
▶	0.1b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
	0.7b	x

Compiler

Compiled 49 to 38 computations (22.4% saved)

localize17.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
✓	0.0b	(*.f64 1/2 (pow.f64 x 2))
✓	0.1b	(*.f64 1/6 (pow.f64 x 3))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0%)

Counts

3 → 6

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/6 (pow.f64 x 3))
0.0ms	x	@	inf	(*.f64 1/2 (pow.f64 x 2))
0.0ms	x	@	inf	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
0.0ms	x	@	0	(*.f64 1/2 (pow.f64 x 2))
0.0ms	x	@	inf	(*.f64 1/6 (pow.f64 x 3))

rewrite102.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`rational_best-simplify-84`
880×	`rational_best-simplify-74`
760×	`rational_best-2`
760×	`rational_best-1`
758×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	86	63
2	178	63
3	528	63
4	2108	63

Stop Event

1×	node limit

Counts

3 → 164

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 3))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) (-.f64 (.f64 (pow.f64 x 2) -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) x) (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (+.f64 x (.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (/.f64 (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (neg.f64 x) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (/.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) 1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) 4) 2) (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (pow.f64 x 3) 4) 1/3) (.f64 (/.f64 (pow.f64 x 3) 4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/6 (pow.f64 x 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x 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(.f64 (pow.f64 x 3) -2) 1/3) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (pow.f64 x 3) 4)) 1/6) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (.f64 (pow.f64 x 3) -2) 2) 1/6) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 x 3) 4) 1/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 x 3) 2/3) -1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 x 3) 4) -1/6) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/6) 2) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 3) 2/3)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 3) 4)) -1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 (neg.f64 (pow.f64 x 3)) 2) 1/3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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

simplify128.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1128×	`rational_best-simplify-44`
1092×	`rational_best-simplify-1`
1090×	`rational_best-simplify-51`
848×	`rational_best-simplify-53`
840×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	5322
1	1052	5250
2	3331	5232

Stop Event

1×	node limit

Counts

170 → 220

Calls

Call 1

Inputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(+.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) x) (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))))
(+.f64 (neg.f64 x) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (*.f64 x 1/2)))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (/.f64 (+.f64 x (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 2))
(+.f64 (-.f64 (neg.f64 x) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 2) 1/4)))
(+.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))))
(+.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (/.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (*.f64 (pow.f64 x 3) 1/3)) 2))
(+.f64 (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) 4) 2) (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) 4) 2))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) 4) 1/3) (.f64 (/.f64 (pow.f64 x 3) 4) 1/3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(-.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(-.f64 0 (.f64 2 (/.f64 (.f64 (pow.f64 x 3) -1/6) 2)))
(-.f64 0 (*.f64 1/3 (/.f64 (neg.f64 (pow.f64 x 3)) 2)))
(-.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) x) (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2) x))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (/.f64 (.f64 (pow.f64 x 3) -1/6) 2))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 -1 (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 -1/6 (*.f64 (pow.f64 x 3) 1/2)))
(-.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (-.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))))
(/.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(/.f64 (*.f64 (pow.f64 x 3) 1/3) 2)
(/.f64 (*.f64 (pow.f64 x 3) -1/6) -1)
(/.f64 (*.f64 (pow.f64 x 3) 2/3) 4)
(/.f64 (*.f64 (pow.f64 x 3) -1/3) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 x 3) 2/3)) 8)
(/.f64 (.f64 (.f64 (pow.f64 x 3) -1/3) 2) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 3) 2/3)) (.f64 2 (.f64 (pow.f64 x 3) 2/3))) 16)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 x 3) -1/3) 2) (.f64 (.f64 (pow.f64 x 3) -1/3) 2)) -8)
(/.f64 (.f64 (.f64 (pow.f64 x 3) 2) -1/6) -2)
(/.f64 (.f64 (.f64 (pow.f64 x 3) -2) 1/3) -4)
(/.f64 (.f64 (.f64 2 (*.f64 (pow.f64 x 3) 4)) 1/6) 8)
(/.f64 (.f64 (.f64 (*.f64 (pow.f64 x 3) -2) 2) 1/6) -4)
(/.f64 (.f64 (.f64 (pow.f64 x 3) 4) 1/3) 8)
(/.f64 (.f64 (.f64 (pow.f64 x 3) 2/3) -1) -4)
(/.f64 (.f64 (.f64 (pow.f64 x 3) 4) -1/6) -4)
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 x 3) -1/6) 2) 2) -1)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 3) 2/3)) -1) 4)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 3) 4)) -1/6) 4)
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x 3)) 2) 1/3) -1)
(pow.f64 (*.f64 1/6 (pow.f64 x 3)) 1)
(neg.f64 (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) 0)
(+.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) (neg.f64 x))
(+.f64 0 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (neg.f64 x) (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 2) 1/4))
(+.f64 (/.f64 x -2) (*.f64 1/2 (+.f64 x (pow.f64 x 2))))
(+.f64 (/.f64 x -2) (/.f64 (+.f64 x (pow.f64 x 2)) 2))
(+.f64 (.f64 (.f64 (pow.f64 x 2) 1/4) 1/2) (.f64 (.f64 1/2 (*.f64 (pow.f64 x 2) 3/2)) 1/2))
(+.f64 (.f64 (/.f64 (.f64 1/2 (pow.f64 x 2)) 4) 2) (.f64 (/.f64 (.f64 1/2 (pow.f64 x 2)) 4) 2))
(-.f64 (*.f64 1/2 (pow.f64 x 2)) 0)
(-.f64 0 (*.f64 (pow.f64 x 2) -1/2))
(-.f64 0 (*.f64 2 (/.f64 (neg.f64 (pow.f64 x 2)) 4)))
(-.f64 (neg.f64 x) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(-.f64 (*.f64 (pow.f64 x 2) 1/4) (/.f64 (neg.f64 (pow.f64 x 2)) 4))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 1/2 (*.f64 (pow.f64 x 2) -1/2)))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1/2 (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))
(-.f64 (/.f64 x -2) (/.f64 (+.f64 x (pow.f64 x 2)) -2))
(-.f64 (.f64 (.f64 (pow.f64 x 2) 1/4) 1/2) (.f64 1/2 (.f64 (pow.f64 x 2) -3/4)))
(-.f64 (.f64 (.f64 1/2 (.f64 (pow.f64 x 2) 3/2)) 1/2) (.f64 1/2 (neg.f64 (*.f64 (pow.f64 x 2) 1/4))))
(/.f64 (pow.f64 x 2) 2)
(/.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(/.f64 (*.f64 2 (pow.f64 x 2)) 4)
(/.f64 (*.f64 (pow.f64 x 2) -1/2) -1)
(/.f64 (neg.f64 (pow.f64 x 2)) -2)
(/.f64 (*.f64 (pow.f64 x 2) 4) 8)
(/.f64 (*.f64 (pow.f64 x 2) -2) -4)
(/.f64 (.f64 2 (.f64 (pow.f64 x 2) 4)) 16)
(/.f64 (.f64 (.f64 (pow.f64 x 2) -2) 2) -8)
(/.f64 (.f64 (.f64 (pow.f64 x 2) 4) -1/2) -4)
(/.f64 (.f64 (.f64 2 (*.f64 (pow.f64 x 2) 4)) 1/2) 8)
(/.f64 (.f64 (.f64 (*.f64 (pow.f64 x 2) -2) 2) 1/2) -4)
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x 2)) 4) 2) -1)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 2) 4)) -1/2) 4)
(pow.f64 (*.f64 1/2 (pow.f64 x 2)) 1)
(neg.f64 (*.f64 (pow.f64 x 2) -1/2))
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(-.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 x 2) -1/2) x))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 3) -1/6) x))
(-.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) -1/6))
(-.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 0)
(-.f64 0 (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2) x))
(-.f64 0 (.f64 2 (/.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 4)))
(-.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (neg.f64 x))
(-.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) -1/2))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2)) (-.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 x 1/2))))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) 2)) (/.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 4))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) 2)) (.f64 -1 (+.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) 2))))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (-.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) x) (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))) (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))) (.f64 1 (/.f64 (+.f64 x (*.f64 1/2 (pow.f64 x 2))) -2)))
(-.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) 1/12)) (neg.f64 (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) 1/12)) (.f64 1 (neg.f64 (.f64 (pow.f64 x 3) 1/12))))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (*.f64 x 1/2)) (/.f64 x -2))
(-.f64 (+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (.f64 x 1/2)) (.f64 1 (/.f64 x -2)))
(-.f64 (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) 1/4)) (neg.f64 (*.f64 (pow.f64 x 2) 1/4)))
(-.f64 (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) 1/4)) (.f64 1 (neg.f64 (.f64 (pow.f64 x 2) 1/4))))
(-.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) -1/6)) (*.f64 (pow.f64 x 3) -1/3))
(-.f64 (-.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) (-.f64 (*.f64 x -2) (pow.f64 x 2)))
(-.f64 (-.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) x) (*.f64 x -2))
(-.f64 (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) -1/2)) (neg.f64 (pow.f64 x 2)))
(-.f64 (.f64 (-.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) x) -1) (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)))
(-.f64 (.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) -1/6)) -1) (-.f64 (.f64 x -2) (pow.f64 x 2)))
(-.f64 (.f64 (-.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (.f64 1/2 (pow.f64 x 2)))) -1) (.f64 (pow.f64 x 3) -1/3))
(-.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) x) (.f64 (pow.f64 x 3) 1/12)) -1) (.f64 -1 (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))) -1) (.f64 -1 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 x 1/2))))
(-.f64 (.f64 (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2) (.f64 x 1/2)) -1) (.f64 -1 (*.f64 x 1/2)))
(-.f64 (.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) x) (.f64 (pow.f64 x 2) 1/4)) -1) (.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))
(.f64 1/2 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) 2)))
(.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))) 1)
(.f64 1 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))))
(.f64 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 1/2)
(.f64 -1 (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2) x))
(.f64 (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2) x) -1)
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 (+.f64 x (*.f64 1/6 (pow.f64 x 3))) 2)) 2)
(.f64 (/.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 4) -2)
(.f64 (/.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))) -2) -2)
(.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (/.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) 2)) (/.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))) -2)) 1)
(.f64 (-.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (*.f64 (pow.f64 x 3) 1/12)) -2)
(.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))) -2)
(.f64 (-.f64 (/.f64 x -2) (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4)) -2)
(.f64 (-.f64 (.f64 x 1/2) (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2) (.f64 x 1/2))) 1)
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) x) (.f64 (pow.f64 x 2) 1/4))) 1)
(.f64 (-.f64 (+.f64 x (+.f64 x (pow.f64 x 2))) (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (*.f64 (pow.f64 x 3) -1/6))) 1)
(.f64 (-.f64 (.f64 (pow.f64 x 3) 1/3) (-.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) 1)
(.f64 (-.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) (-.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) x)) 1)
(.f64 (-.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 x 1/2)))) -1)
(.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) 1/12)) (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) 1/12))) -1)
(.f64 (-.f64 (/.f64 x -2) (+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (.f64 x 1/2))) -1)
(.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 2) 1/4)) (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (.f64 (pow.f64 x 2) 1/4))) -1)
(.f64 (-.f64 (.f64 x -2) (-.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) x)) -1)
(.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 (pow.f64 x 3) -1/6))) -1)
(.f64 (-.f64 (neg.f64 (pow.f64 x 2)) (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 2) -1/2))) -1)
(.f64 (-.f64 (-.f64 (.f64 x -2) (pow.f64 x 2)) (-.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 x (.f64 1/2 (pow.f64 x 2))))) -1)
(/.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 1)
(/.f64 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))) 2)
(/.f64 (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2) x) -1)
(/.f64 (.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))) 4) 4)
(/.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) -2)
(/.f64 (.f64 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4) 8)
(/.f64 (.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 2) -4)
(/.f64 (+.f64 (.f64 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4) (.f64 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4)) 16)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 2) (.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 2)) -8)
(/.f64 (.f64 (.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4) -1) -4)
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 4) 2) -1)
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4)) -1) 4)
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 2/3) (neg.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 x 4)))) 4)
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) -1/3) 2) (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4))) -4)
(/.f64 (-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4)) (neg.f64 (*.f64 (pow.f64 x 3) 2/3))) 4)
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x -2) (pow.f64 x 2)) 2) (*.f64 (pow.f64 x 3) 2/3)) -4)
(/.f64 (-.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (neg.f64 (*.f64 x 4))) 4)
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) 4) (*.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) x) 2) (pow.f64 x 2)) -2)
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 4)) (*.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 x -2)) (pow.f64 x 2)) -2)
(pow.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 1)
(neg.f64 (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2) x))

Outputs
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) (-.f64 (*.f64 (pow.f64 x 2) -1/2) x))
(+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 0 (*.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))))
(+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) x) (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))))
(+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)) (*.f64 (pow.f64 x 2) -1/2))
(+.f64 (neg.f64 x) (+.f64 x (*.f64 1/6 (pow.f64 x 3))))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 (pow.f64 x 3) 1/12))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (*.f64 x 1/2)))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (.f64 1/2 (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (+.f64 x (pow.f64 x 2)))))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (/.f64 (+.f64 x (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 2))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (+.f64 (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (*.f64 x 1/2)))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (.f64 1/2 (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))))
(+.f64 (/.f64 (+.f64 x (pow.f64 x 2)) -2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (+.f64 x (pow.f64 x 2)))))
(+.f64 (-.f64 (neg.f64 x) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 x 2) 1/4)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))))
(+.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/4))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (/.f64 x -2) (.f64 (pow.f64 x 2) -1/4))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 x -1/2) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 2) 1/4))))
(+.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (/.f64 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (*.f64 (pow.f64 x 3) 1/3)) 2))
(+.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/4))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (+.f64 (.f64 x 1/2) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (/.f64 x -2) (.f64 (pow.f64 x 2) -1/4))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (-.f64 (.f64 x -1/2) (.f64 (pow.f64 x 2) 1/4)) (+.f64 (.f64 x 1/2) (*.f64 (pow.f64 x 2) 1/4))))
(+.f64 (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) 4) 2) (.f64 (/.f64 (.f64 1/6 (pow.f64 x 3)) 4) 2))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 (/.f64 (pow.f64 x 3) 4) 1/3) (.f64 (/.f64 (pow.f64 x 3) 4) 1/3))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (*.f64 1/6 (pow.f64 x 3)) 0)
(*.f64 1/6 (pow.f64 x 3))
(-.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 0 (.f64 2 (/.f64 (.f64 (pow.f64 x 3) -1/6) 2)))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 0 (*.f64 1/3 (/.f64 (neg.f64 (pow.f64 x 3)) 2)))
(*.f64 1/6 (pow.f64 x 3))
(-.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 3) -1/6)) (/.f64 (pow.f64 x 2) -2))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) x) (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2) x))
(-.f64 (.f64 (pow.f64 x 2) -1/2) (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) -2))
(-.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 3) -1/6)) (/.f64 (pow.f64 x 2) -2))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)) (*.f64 (pow.f64 x 2) -1/2))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (/.f64 (.f64 (pow.f64 x 3) -1/6) 2))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 -1/6 (/.f64 (pow.f64 x 3) 2)))
(*.f64 1/12 (-.f64 (pow.f64 x 3) (neg.f64 (pow.f64 x 3))))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 -1 (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 -1/6 (/.f64 (pow.f64 x 3) 2)))
(*.f64 1/12 (-.f64 (pow.f64 x 3) (neg.f64 (pow.f64 x 3))))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 -1/6 (*.f64 (pow.f64 x 3) 1/2)))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (.f64 -1/6 (/.f64 (pow.f64 x 3) 2)))
(*.f64 1/12 (-.f64 (pow.f64 x 3) (neg.f64 (pow.f64 x 3))))
(-.f64 (/.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) -2) (-.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 x 1/2))))
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(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (.f64 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4) 8)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 2) -4)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (+.f64 (.f64 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4) (.f64 (+.f64 x (+.f64 x (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4)) 16)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 2) (.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) 2)) -8)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (.f64 (.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4) -1) -4)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 x -2) (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3))) 4) 2) -1)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (.f64 (neg.f64 (.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 4)) -1) 4)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) 2/3) (neg.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 x 4)))) 4)
(/.f64 (-.f64 (neg.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4))) (*.f64 (pow.f64 x 3) 2/3)) -4)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (/.f64 (.f64 x 4) 4)) (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 4)) 4) (*.f64 (pow.f64 x 2) -1/2))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 x 3) -1/3) 2) (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4))) -4)
(/.f64 (-.f64 (neg.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4))) (*.f64 (pow.f64 x 3) 2/3)) -4)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (/.f64 (.f64 x 4) 4)) (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 4)) 4) (*.f64 (pow.f64 x 2) -1/2))
(/.f64 (-.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4)) (neg.f64 (*.f64 (pow.f64 x 3) 2/3))) 4)
(/.f64 (-.f64 (neg.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4))) (*.f64 (pow.f64 x 3) 2/3)) -4)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (/.f64 (.f64 x 4) 4)) (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 4)) 4) (*.f64 (pow.f64 x 2) -1/2))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x -2) (pow.f64 x 2)) 2) (*.f64 (pow.f64 x 3) 2/3)) -4)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (-.f64 (.f64 2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3))) (neg.f64 (*.f64 x 4))) 4)
(/.f64 (-.f64 (neg.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4))) (*.f64 (pow.f64 x 3) 2/3)) -4)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (/.f64 (.f64 x 4) 4)) (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 4)) 4) (*.f64 (pow.f64 x 2) -1/2))
(/.f64 (-.f64 (.f64 (+.f64 x (.f64 1/6 (pow.f64 x 3))) 4) (*.f64 (pow.f64 x 2) -2)) 4)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) x) 2) (pow.f64 x 2)) -2)
(/.f64 (-.f64 (.f64 2 (-.f64 (.f64 (pow.f64 x 3) -1/6) x)) (pow.f64 x 2)) -2)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 2 x)) (pow.f64 x 2)) -2)
(-.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) x)) (.f64 (pow.f64 x 2) -1/2))
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 4)) (*.f64 (pow.f64 x 2) -2)) 4)
(/.f64 (-.f64 (neg.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 x 4))) (*.f64 (pow.f64 x 3) 2/3)) -4)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (/.f64 (.f64 x 4) 4)) (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 3) 2/3) (.f64 x 4)) 4) (*.f64 (pow.f64 x 2) -1/2))
(/.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/3) (.f64 x -2)) (pow.f64 x 2)) -2)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(pow.f64 (+.f64 x (.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))) 1)
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))
(neg.f64 (-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2) x))
(-.f64 x (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) -2))
(+.f64 (-.f64 x (/.f64 (pow.f64 x 2) -2)) (*.f64 1/6 (pow.f64 x 3)))
(+.f64 x (-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2)))

localize9.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (pow.f64 x 2))

Compiler

Compiled 19 to 14 computations (26.3% saved)

localize28.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 1/2 (pow.f64 x 2))
✓	0.0b	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
	0.1b	(*.f64 1/6 (pow.f64 x 3))
✓	0.1b	(*.f64 1/24 (pow.f64 x 4))

Compiler

Compiled 69 to 54 computations (21.7% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 1/24 (pow.f64 x 4))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
0.0ms	x	@	0	(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))

rewrite81.0ms (0.1%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`rational_best-simplify-55`
694×	`rational_best-simplify-63`
650×	`rational_best-simplify-65`
614×	`rational_best-simplify-74`
596×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	44
1	102	44
2	197	44
3	533	44
4	1726	44

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/24 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) 1/48) (*.f64 (pow.f64 x 4) 1/48))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) 4) (+.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) 4) (*.f64 (pow.f64 x 4) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) 4) (/.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/2) 1/8) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) 4) (/.f64 (*.f64 (pow.f64 x 4) 1/8) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) 4) 2) (*.f64 (/.f64 (*.f64 1/24 (pow.f64 x 4)) 4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (pow.f64 x 4) 4) 1/12) (*.f64 (/.f64 (pow.f64 x 4) 4) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/24 (pow.f64 x 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 x 4) -1/24))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 2 (neg.f64 (*.f64 (pow.f64 x 4) 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 1/12 (/.f64 (pow.f64 x 4) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 4) 1/48) (neg.f64 (*.f64 (pow.f64 x 4) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 4) 1/48) (*.f64 -1 (*.f64 (pow.f64 x 4) 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 4) 1/48) (*.f64 -1/24 (*.f64 (pow.f64 x 4) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) -1/24) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) 1/6) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 x 4) -1/12) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/6)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/6)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (pow.f64 x 4) 1/6)) (*.f64 2 (*.f64 (pow.f64 x 4) 1/6))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/6)) (neg.f64 (*.f64 (pow.f64 x 4) 1/6))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 4) 2) -1/24) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 4) -2) 1/12) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) -1/24) (*.f64 (pow.f64 x 4) 1/8)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 4) 1/6) -1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/6)) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 4) 4) -1/24) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x 4) 4)) -1/24) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (pow.f64 x 4) 2) 4) 1/24) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x 4) 4)) 1/24) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 x 4) 4) 1/12) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/48)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 x 4) -2) 1/12) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 (pow.f64 x 4) 1/6)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 x 4) -1/24))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 x 2) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (pow.f64 x 2)) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (pow.f64 x 3)) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 2 (/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 2) 1/4) (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) 1/12) (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 1/12)) (neg.f64 (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 1/12)) (*.f64 1 (neg.f64 (*.f64 (pow.f64 x 3) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 2/3)) 4) (/.f64 (neg.f64 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 2/3)) 4) (*.f64 1 (/.f64 (neg.f64 (pow.f64 x 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) (*.f64 (pow.f64 x 2) -1/2)) (*.f64 (pow.f64 x 2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 2) 1/4))) (/.f64 (neg.f64 (pow.f64 x 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 3) 1/12))) (neg.f64 (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)) (*.f64 (pow.f64 x 3) -1/6)) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) -1) (*.f64 (pow.f64 x 3) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)) -1) (neg.f64 (pow.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 3) 1/12)) -1) (*.f64 -1 (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 2) 1/4)) -1) (*.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4) (*.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) (*.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))) (*.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 3)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) -1) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (+.f64 (*.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))))))))

simplify140.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1430×	`rational_best-simplify-65`
854×	`rational_best-simplify-61`
736×	`rational_best-simplify-3`
604×	`rational_best-simplify-44`
582×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	2485
1	578	2485
2	1533	2479
3	5584	2473

Stop Event

1×	node limit

Counts

103 → 100

Calls

Call 1

Inputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(+.f64 0 (*.f64 1/24 (pow.f64 x 4)))
(+.f64 (.f64 (pow.f64 x 4) 1/48) (.f64 (pow.f64 x 4) 1/48))
(+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) (+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) (*.f64 (pow.f64 x 4) 1/48)))
(+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) (/.f64 (.f64 (*.f64 (pow.f64 x 4) 1/2) 1/8) 2))
(+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) (/.f64 (.f64 (pow.f64 x 4) 1/8) 4))
(+.f64 (.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) 2) (.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) 2))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) 4) 1/12) (.f64 (/.f64 (pow.f64 x 4) 4) 1/12))
(-.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(-.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(-.f64 0 (.f64 2 (neg.f64 (.f64 (pow.f64 x 4) 1/48))))
(-.f64 0 (*.f64 1/12 (/.f64 (pow.f64 x 4) -2)))
(-.f64 (.f64 (pow.f64 x 4) 1/48) (neg.f64 (.f64 (pow.f64 x 4) 1/48)))
(-.f64 (.f64 (pow.f64 x 4) 1/48) (.f64 -1 (*.f64 (pow.f64 x 4) 1/48)))
(-.f64 (.f64 (pow.f64 x 4) 1/48) (.f64 -1/24 (*.f64 (pow.f64 x 4) 1/2)))
(/.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(/.f64 (*.f64 (pow.f64 x 4) 1/12) 2)
(/.f64 (*.f64 (pow.f64 x 4) -1/24) -1)
(/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)
(/.f64 (*.f64 (pow.f64 x 4) -1/12) -2)
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) 8)
(/.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/6)) -4)
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) (.f64 2 (.f64 (pow.f64 x 4) 1/6))) 16)
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 4) 1/6)) (neg.f64 (.f64 (pow.f64 x 4) 1/6))) -8)
(/.f64 (.f64 (.f64 (pow.f64 x 4) 2) -1/24) -2)
(/.f64 (.f64 (.f64 (pow.f64 x 4) -2) 1/12) -4)
(/.f64 (-.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (pow.f64 x 4) 1/8)) -4)
(/.f64 (.f64 (.f64 (pow.f64 x 4) 1/6) -1) -4)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) 1/6)) -1) 4)
(/.f64 (.f64 (.f64 (pow.f64 x 4) 4) -1/24) -4)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) 4)) -1/24) 4)
(/.f64 (.f64 (.f64 (*.f64 (pow.f64 x 4) 2) 4) 1/24) 8)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) 4)) 1/24) -4)
(/.f64 (.f64 (.f64 (pow.f64 x 4) 4) 1/12) 8)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) 1/48)) 2) -1)
(/.f64 (*.f64 (/.f64 (pow.f64 x 4) -2) 1/12) -1)
(/.f64 (-.f64 0 (*.f64 (pow.f64 x 4) 1/6)) -4)
(pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(neg.f64 (*.f64 (pow.f64 x 4) -1/24))
(-.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/2 (-.f64 (.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2)))))
(-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2))
(-.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 0)
(-.f64 0 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))))
(-.f64 0 (.f64 2 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4)))
(-.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 2) 1/4)))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (-.f64 (.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 3) 1/12)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 3) 1/12)) (.f64 -1 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12))))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/12)) (neg.f64 (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/12)) (.f64 1 (neg.f64 (.f64 (pow.f64 x 3) 1/12))))
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 2/3)) 4) (/.f64 (neg.f64 (pow.f64 x 2)) 4))
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 2/3)) 4) (.f64 1 (/.f64 (neg.f64 (pow.f64 x 2)) 4)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)) (*.f64 (pow.f64 x 3) -1/3))
(-.f64 (.f64 1/2 (-.f64 (.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(-.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) (.f64 (pow.f64 x 2) -1/2)) (.f64 (pow.f64 x 2) -1/2))
(-.f64 (-.f64 0 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) 1/4))) (/.f64 (neg.f64 (pow.f64 x 2)) 4))
(-.f64 (-.f64 0 (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 3) 1/12))) (neg.f64 (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 3) -1/6))
(-.f64 (.f64 (.f64 1/2 (-.f64 (.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) -1) (.f64 (pow.f64 x 3) -1/3))
(-.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)) -1) (neg.f64 (pow.f64 x 2)))
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 3) 1/12)) -1) (.f64 -1 (*.f64 (pow.f64 x 3) 1/12)))
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) 1/4)) -1) (.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 1)
(.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))))
(.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))) -1)
(.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 1/2)
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12)) 2)
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4) -2)
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 1)
(/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))) -1)
(/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 2/3)) 4)
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) -2)
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 2)
(/.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 8)
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) -4)
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4)) 16)
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2)) -8)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 3)) -4)
(/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) -1) -4)
(/.f64 (.f64 (.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) -1) 4)
(/.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4) 2) -1)
(/.f64 (-.f64 0 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 2/3))) -4)
(pow.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 1)
(neg.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))))

Outputs
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(*.f64 1/6 (pow.f64 x 3))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(+.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(*.f64 1/24 (pow.f64 x 4))
(+.f64 0 (*.f64 1/24 (pow.f64 x 4)))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 (pow.f64 x 4) 1/48) (.f64 (pow.f64 x 4) 1/48))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) (+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) (*.f64 (pow.f64 x 4) 1/48)))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) (/.f64 (.f64 (*.f64 (pow.f64 x 4) 1/2) 1/8) 2))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) (/.f64 (.f64 (pow.f64 x 4) 1/8) 4))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) 2) (.f64 (/.f64 (.f64 1/24 (pow.f64 x 4)) 4) 2))
(*.f64 1/24 (pow.f64 x 4))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) 4) 1/12) (.f64 (/.f64 (pow.f64 x 4) 4) 1/12))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (*.f64 1/24 (pow.f64 x 4)) 0)
(*.f64 1/24 (pow.f64 x 4))
(-.f64 0 (*.f64 (pow.f64 x 4) -1/24))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 0 (.f64 2 (neg.f64 (.f64 (pow.f64 x 4) 1/48))))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 0 (*.f64 1/12 (/.f64 (pow.f64 x 4) -2)))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (.f64 (pow.f64 x 4) 1/48) (neg.f64 (.f64 (pow.f64 x 4) 1/48)))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (.f64 (pow.f64 x 4) 1/48) (.f64 -1 (*.f64 (pow.f64 x 4) 1/48)))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (.f64 (pow.f64 x 4) 1/48) (.f64 -1/24 (*.f64 (pow.f64 x 4) 1/2)))
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/12) 2)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) -1/24) -1)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) 1/6) 4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 (pow.f64 x 4) -1/12) -2)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) 8)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (neg.f64 (*.f64 (pow.f64 x 4) 1/6)) -4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 x 4) 1/6)) (.f64 2 (.f64 (pow.f64 x 4) 1/6))) 16)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (+.f64 (neg.f64 (.f64 (pow.f64 x 4) 1/6)) (neg.f64 (.f64 (pow.f64 x 4) 1/6))) -8)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (.f64 (pow.f64 x 4) 2) -1/24) -2)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (.f64 (pow.f64 x 4) -2) 1/12) -4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) -1/24) (.f64 (pow.f64 x 4) 1/8)) -4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (.f64 (pow.f64 x 4) 1/6) -1) -4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) 1/6)) -1) 4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (.f64 (pow.f64 x 4) 4) -1/24) -4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) 4)) -1/24) 4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (.f64 (*.f64 (pow.f64 x 4) 2) 4) 1/24) 8)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) 4)) 1/24) -4)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (.f64 (pow.f64 x 4) 4) 1/12) 8)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 x 4) 1/48)) 2) -1)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (*.f64 (/.f64 (pow.f64 x 4) -2) 1/12) -1)
(*.f64 1/24 (pow.f64 x 4))
(/.f64 (-.f64 0 (*.f64 (pow.f64 x 4) 1/6)) -4)
(*.f64 1/24 (pow.f64 x 4))
(pow.f64 (*.f64 1/24 (pow.f64 x 4)) 1)
(*.f64 1/24 (pow.f64 x 4))
(neg.f64 (*.f64 (pow.f64 x 4) -1/24))
(*.f64 1/24 (pow.f64 x 4))
(-.f64 (pow.f64 x 2) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 1/2 (pow.f64 x 2)) (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 1/2 (-.f64 (.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 1/6 (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 0)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 0 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 0 (.f64 2 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 (pow.f64 x 3) 1/3) (.f64 1/2 (-.f64 (*.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 (pow.f64 x 2) 1/4) (-.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 2) 1/4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 (pow.f64 x 3) 1/12) (-.f64 (.f64 (pow.f64 x 2) -1/2) (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 3) 1/12)) (/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (.f64 (pow.f64 x 3) 1/12)) (.f64 -1 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/12)) (neg.f64 (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 1/12)) (.f64 1 (neg.f64 (.f64 (pow.f64 x 3) 1/12))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 2/3)) 4) (/.f64 (neg.f64 (pow.f64 x 2)) 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (/.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 2/3)) 4) (.f64 1 (/.f64 (neg.f64 (pow.f64 x 2)) 4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)) (*.f64 (pow.f64 x 3) -1/3))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 1/2 (-.f64 (.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (-.f64 (.f64 1/2 (-.f64 (.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) (.f64 (pow.f64 x 2) -1/2)) (.f64 (pow.f64 x 2) -1/2))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (-.f64 0 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) 1/4))) (/.f64 (neg.f64 (pow.f64 x 2)) 4))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (-.f64 0 (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 3) 1/12))) (neg.f64 (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 (.f64 1/2 (-.f64 (.f64 (pow.f64 x 3) 1/3) (pow.f64 x 2))) -1) (.f64 (pow.f64 x 3) -1/3))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) -1/6)) -1) (neg.f64 (pow.f64 x 2)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 2) -1/2) (.f64 (pow.f64 x 3) 1/12)) -1) (.f64 -1 (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 2) 1/4)) -1) (.f64 -1 (*.f64 (pow.f64 x 2) 1/4)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 1/2 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 2 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 1/2 (pow.f64 x 2))) -1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 1/2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 (pow.f64 x 2) 1/4) (*.f64 (pow.f64 x 3) 1/12)) 2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4) -2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))) -1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 2/3)) 4)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) -2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) 1/3)) 2)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) 8)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) -4)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4) (.f64 (+.f64 (pow.f64 x 2) (.f64 (pow.f64 x 3) 1/3)) 4)) 16)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (+.f64 (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) (.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2)) -8)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) 3)) -4)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))) (.f64 3 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))) -4)
(-.f64 (/.f64 (-.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) -1/6)) 4) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) -3/4))
(-.f64 (-.f64 (.f64 (pow.f64 x 3) 1/24) (.f64 (pow.f64 x 2) -1/8)) (.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))) -3/4))
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) (.f64 3 (-.f64 (pow.f64 x 2) (*.f64 (pow.f64 x 3) -1/3)))) -8)
(/.f64 (.f64 (+.f64 (.f64 2 (pow.f64 x 2)) (*.f64 (pow.f64 x 3) 2/3)) -1) -4)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 2) -1) 4)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (.f64 (/.f64 (-.f64 (.f64 (pow.f64 x 3) -1/3) (pow.f64 x 2)) 4) 2) -1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(/.f64 (-.f64 0 (+.f64 (.f64 2 (pow.f64 x 2)) (.f64 (pow.f64 x 3) 2/3))) -4)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(pow.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3))) 1)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))
(neg.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))

eval58.4s (93.9%)

Compiler: Compiled 10123 to 8128 computations (19.7% saved)

prune254.0ms (0.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	468	0	468
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	468	5	473

Error

0.0b

Counts

473 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.4b	(-.f64 (exp.f64 x) 1)
✓	0.0b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
✓	0.2b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	0.1b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
	0.7b	x

Compiler

Compiled 49 to 38 computations (22.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

0.0b

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.4b	(-.f64 (exp.f64 x) 1)
✓	0.0b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
✓	0.2b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	0.1b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
	0.7b	x

Compiler

Compiled 49 to 38 computations (22.4% saved)

eval0.0ms (0%)

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

prune2.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

0.0b

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	59.4b	(-.f64 (exp.f64 x) 1)
✓	0.0b	(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
✓	0.2b	(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
✓	0.1b	(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
	0.7b	x

Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes68.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
x
(-.f64 (exp.f64 x) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))

Outputs
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))

Calls

3 calls:

60.0ms	(-.f64 (exp.f64 x) 1)
4.0ms	x
2.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 55 to 41 computations (25.5% saved)

regimes9.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(-.f64 (exp.f64 x) 1)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))

Outputs
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))

Calls

3 calls:

4.0ms	x
2.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(exp.f64 x)

Results

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes8.0ms (0%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	(exp.f64 x)
2.0ms	(-.f64 (exp.f64 x) 1)

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(-.f64 (exp.f64 x) 1)`
0.2b	1	`(exp.f64 x)`

Compiler

Compiled 23 to 16 computations (30.4% saved)

regimes8.0ms (0%)

Accuracy

Total -58.9b remaining (-8240.2%)

Threshold costs -58.9b (-8240.2%)

Counts

2 → 1

Calls

Call 1

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

Outputs
x

Calls

3 calls:

4.0ms	x
2.0ms	(exp.f64 x)
2.0ms	(-.f64 (exp.f64 x) 1)

Results

Error	Segments	Branch
0.7b	1	`x`
0.7b	1	`(-.f64 (exp.f64 x) 1)`
0.7b	1	`(exp.f64 x)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	112

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x

Outputs
(+.f64 (+.f64 x (.f64 1/24 (pow.f64 x 4))) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x

Compiler

Compiled 44 to 34 computations (22.7% saved)

soundness182.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1284×	`rational_best-simplify-44`
916×	`rational_best-simplify-55`
850×	`rational_best-simplify-73`
800×	`rational_best-simplify-47`
724×	`rational_best-simplify-68`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	123	664
1	326	652
2	907	652
3	4126	652

Stop Event

1×	node limit

Compiler

Compiled 58 to 46 computations (20.7% saved)

end35.0ms (0.1%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

Details

analyze2.0ms (0%)

sample2.4s (3.8%)

preprocess6.0ms (0%)

simplify19.0ms (0%)

eval0.0ms (0%)

prune1.0ms (0%)

localize4.0ms (0%)

series0.0ms (0%)

rewrite180.0ms (0.3%)

simplify91.0ms (0.1%)

eval12.0ms (0%)

prune10.0ms (0%)

localize17.0ms (0%)

series3.0ms (0%)

rewrite102.0ms (0.2%)

simplify128.0ms (0.2%)

localize9.0ms (0%)

localize28.0ms (0%)

series1.0ms (0%)

rewrite81.0ms (0.1%)

simplify140.0ms (0.2%)

eval58.4s (93.9%)

prune254.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes68.0ms (0.1%)

regimes9.0ms (0%)

regimes8.0ms (0%)

regimes8.0ms (0%)

simplify3.0ms (0%)

soundness182.0ms (0.3%)

end35.0ms (0.1%)

Profiling