Details

analyze358.0ms (2.1%)

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
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample6.6s (38.4%)

Results

3.2s	2600×	body	1024	valid
1.7s	1237×	body	2048	valid
830.0ms	1283×	body	512	valid
756.0ms	3102×	body	256	valid
148.0ms	34×	body	4096	valid

Bogosity

preprocess9.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-1`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	13	27
2	17	27
3	19	27
4	23	27
5	23	27
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`rational.json-simplify-54`
4×	`rational.json-simplify-1`
4×	`rational.json-simplify-55`
2×	`rational.json-simplify-17`
2×	`rational.json-simplify-73`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	13	27
2	17	27
3	19	27
4	23	27
5	23	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

eval1.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

52.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.2b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize240.0ms (1.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	3.8b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	14.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite136.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2002×	`rational.json-1`
2002×	`rational.json-5`
2002×	`rational.json-2`
2002×	`rational.json-3`
2000×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	84	67
2	262	67
3	977	67
4	3947	67

Stop Event

1×	node limit

Counts

3 → 37

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) 1) (+.f64 (*.f64 x x) 1))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) 1) (+.f64 (*.f64 x x) 1))) (*.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) 1) (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 (*.f64 x x) 1) (+.f64 (*.f64 x x) 1)) (*.f64 (+.f64 (*.f64 x x) 1) (+.f64 (*.f64 x x) 1)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (*.f64 (+.f64 (*.f64 x x) 1) (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) (*.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) (*.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (*.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)))))

simplify286.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-49`
1328×	`rational.json-simplify-2`
1014×	`rational.json-simplify-50`
884×	`rational.json-simplify-54`
876×	`exponential.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	177	2233
1	316	2217
2	661	2217
3	2363	2217
4	7378	2217

Stop Event

1×	node limit

Counts

73 → 125

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (.f64 x x) 1))))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) 1))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (*.f64 x x) 1))))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)
(/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 1)
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)

Outputs
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 1 (.f64 -1/8 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (*.f64 1/16 (pow.f64 x 6)))))
(+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 1 (*.f64 -1/8 (pow.f64 x 4)))))
x
(+.f64 (*.f64 1/2 (/.f64 1 x)) x)
(+.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) x) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 x (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 x (.f64 1/2 (/.f64 1 x))) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(*.f64 x -1)
(neg.f64 x)
(-.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 x -1) (.f64 1/2 (/.f64 1 x)))
(-.f64 (neg.f64 x) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 x -1)) (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 x -1)) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)) (.f64 1/2 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (neg.f64 x)) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 5) 3/40)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 x (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 5) 3/40)) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 x (+.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 -5/112 (pow.f64 x 7))) (*.f64 (pow.f64 x 5) 3/40)))
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 1 x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 1 (.f64 -1/8 (pow.f64 x 4)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 x 2))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 x 2)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 x 2))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 x 2))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x))) (*.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (.f64 1/2 (/.f64 1 x))) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 0)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) 1)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (.f64 x x) 1))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1))) (.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) 1))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (*.f64 x x) 1))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(.f64 (sqrt.f64 (.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)) (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))) (/.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))) (sqrt.f64 (.f64 (+.f64 (.f64 x x) 1) (+.f64 (.f64 x x) 1)))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) 1)) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) 1)
(sqrt.f64 (+.f64 1 (*.f64 x x)))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))

eval171.0ms (1%)

Compiler: Compiled 2370 to 1764 computations (25.6% saved)

prune114.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	116	9	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	116	10	126

Error

0.0b

Counts

126 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.5b	(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
▶	31.1b	(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
	31.5b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
	47.3b	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
▶	48.8b	(log.f64 (/.f64 -1/2 x))
▶	46.9b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	52.2b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
	47.6b	(log.f64 (+.f64 x x))
▶	56.1b	(log.f64 (+.f64 x 1))
	55.8b	(log.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))

Compiler

Compiled 296 to 207 computations (30.1% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
✓	0.1b	(*.f64 (pow.f64 x 5) 3/40)
✓	0.1b	(*.f64 (pow.f64 x 3) -1/6)
✓	17.6b	(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
0.0ms	x	@	0	(*.f64 (pow.f64 x 5) 3/40)
0.0ms	x	@	0	(*.f64 (pow.f64 x 3) -1/6)
0.0ms	x	@	0	(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
0.0ms	x	@	-inf	(*.f64 (pow.f64 x 5) 3/40)

rewrite183.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1158×	`rational.json-simplify-2`
978×	`rational.json-simplify-79`
650×	`rational.json-simplify-54`
648×	`rational.json-simplify-47`
574×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	82
1	108	82
2	314	82
3	1119	82
4	4380	82

Stop Event

1×	node limit

Counts

4 → 74

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(*.f64 (pow.f64 x 3) -1/6)
(*.f64 (pow.f64 x 5) 3/40)
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 (neg.f64 x) (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) -1/6) (-.f64 (neg.f64 (.f64 (pow.f64 x 5) 3/40)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (neg.f64 (.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 5) 3/40))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 (pow.f64 x 5) 3/40)) (neg.f64 (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 5) 3/40))) (-.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 (.f64 (pow.f64 x 5) 3/40))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) (-.f64 1 (+.f64 x (.f64 (pow.f64 x 5) 3/40))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 (-.f64 1 (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) x)) (-.f64 1 (.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 5) 3/40)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 x (.f64 (pow.f64 x 5) 3/40)) (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 -1 x)) (-.f64 1 (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 3) -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) -1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 3) -1/6) (/.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 x 5) 3/40) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 5) 3/40) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 5) 3/40))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 3/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 x 5) 3/40) (/.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 5) 3/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (pow.f64 x 5) 3/40)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (neg.f64 (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 x 3) -1/6) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 x) (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 1 (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (/.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))) (/.f64 (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) -1/6)))))))

simplify136.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-54`
1272×	`rational.json-simplify-2`
1086×	`rational.json-simplify-50`
880×	`rational.json-simplify-1`
790×	`rational.json-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2732
1	376	2732
2	1150	2732
3	3691	2732

Stop Event

1×	node limit

Counts

122 → 83

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(-.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 5) 3/40)))
(-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 (neg.f64 x) (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (.f64 (pow.f64 x 3) -1/6) (-.f64 (neg.f64 (.f64 (pow.f64 x 5) 3/40)) x))
(-.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (neg.f64 (.f64 (pow.f64 x 5) 3/40)))
(-.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 0)
(-.f64 0 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 5) 3/40))))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (neg.f64 x))
(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 3/40)) (neg.f64 (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 5) 3/40))) (-.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))))
(-.f64 (-.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 (.f64 (pow.f64 x 5) 3/40))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) (-.f64 1 (+.f64 x (.f64 (pow.f64 x 5) 3/40))))
(-.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 (-.f64 1 (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 5) 3/40)))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) x)) (-.f64 1 (.f64 (pow.f64 x 5) 3/40)))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 5) 3/40)))) 1)
(-.f64 (-.f64 (+.f64 x (.f64 (pow.f64 x 5) 3/40)) (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) 1)
(-.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) (-.f64 1 x))
(-.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 -1 x)) (-.f64 1 (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) x)) 1)
(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)
(.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 1)
(.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))
(.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))
(.f64 (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))
(.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))
(.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))))
(/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 1)
(/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(pow.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 5) 3/40))))
(+.f64 (*.f64 (pow.f64 x 3) -1/6) 0)
(+.f64 0 (*.f64 (pow.f64 x 3) -1/6))
(-.f64 (*.f64 (pow.f64 x 3) -1/6) 0)
(-.f64 0 (neg.f64 (*.f64 (pow.f64 x 3) -1/6)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/6))) 1)
(/.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(/.f64 (.f64 (pow.f64 x 3) -1/6) (/.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 3) -1/6)))
(pow.f64 (*.f64 (pow.f64 x 3) -1/6) 1)
(neg.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 (pow.f64 x 5) 3/40) 0)
(+.f64 0 (*.f64 (pow.f64 x 5) 3/40))
(-.f64 (*.f64 (pow.f64 x 5) 3/40) 0)
(-.f64 0 (neg.f64 (*.f64 (pow.f64 x 5) 3/40)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 x 5) 3/40))) 1)
(/.f64 (*.f64 (pow.f64 x 5) 3/40) 1)
(/.f64 (.f64 (pow.f64 x 5) 3/40) (/.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 5) 3/40)))
(pow.f64 (*.f64 (pow.f64 x 5) 3/40) 1)
(neg.f64 (neg.f64 (*.f64 (pow.f64 x 5) 3/40)))
(-.f64 x (neg.f64 (*.f64 (pow.f64 x 3) -1/6)))
(-.f64 (*.f64 (pow.f64 x 3) -1/6) (neg.f64 x))
(-.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) 0)
(-.f64 0 (-.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) -1/6)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/6))) (-.f64 1 x))
(-.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 1 (*.f64 (pow.f64 x 3) -1/6)))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (*.f64 (pow.f64 x 3) -1/6)) x)) 1)
(-.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (-.f64 -1 x)) 1)
(-.f64 (-.f64 x (-.f64 -1 (*.f64 (pow.f64 x 3) -1/6))) 1)
(.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) 1)
(.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))
(.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (/.f64 1 (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (/.f64 (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(.f64 (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))) (/.f64 (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (/.f64 (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))))
(.f64 (.f64 (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6))))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))))))
(/.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) 1)
(/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(pow.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) 1)
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) -1/6)))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
(*.f64 3/40 (pow.f64 x 5))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 x (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 (neg.f64 x) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (.f64 (pow.f64 x 3) -1/6) (-.f64 (neg.f64 (.f64 (pow.f64 x 5) 3/40)) x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (neg.f64 (.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 0)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
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(-.f64 0 (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 5) 3/40))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (neg.f64 x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 3/40)) (neg.f64 (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 5) 3/40))) (-.f64 1 (+.f64 x (.f64 (pow.f64 x 3) -1/6))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 (.f64 (pow.f64 x 5) 3/40))) 1)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 0 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) (-.f64 1 (+.f64 x (.f64 (pow.f64 x 5) 3/40))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 (-.f64 1 (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) x)) (-.f64 1 (.f64 (pow.f64 x 5) 3/40)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (.f64 (pow.f64 x 5) 3/40)))) 1)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 (+.f64 x (.f64 (pow.f64 x 5) 3/40)) (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) 1)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 -1 (.f64 (pow.f64 x 3) -1/6))) (-.f64 1 x))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 -1 x)) (-.f64 1 (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)) x)) 1)
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)
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(/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
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(neg.f64 (-.f64 (neg.f64 x) (*.f64 (pow.f64 x 3) -1/6)))
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localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	3.5b	(log.f64 (+.f64 x 1))

Compiler

Compiled 10 to 7 computations (30% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1272×	`rational.json-1`
1272×	`rational.json-5`
1272×	`rational.json-2`
1272×	`rational.json-3`
1270×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	58	11
2	181	11
3	663	11
4	2507	11

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (/.f64 1 (log.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (/.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (*.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (*.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (*.f64 (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 x 1))))))))

simplify234.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

920×	`rational.json-simplify-49`
800×	`rational.json-simplify-111`
640×	`rational.json-simplify-58`
618×	`rational.json-simplify-2`
618×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	713
1	153	697
2	388	697
3	1244	697
4	3823	697
5	6312	697

Stop Event

1×	node limit

Counts

31 → 58

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (+.f64 x 1)) 0)
(+.f64 0 (log.f64 (+.f64 x 1)))
(-.f64 (log.f64 (+.f64 x 1)) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 x 1))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x 1)))) 1)
(*.f64 1 (log.f64 (+.f64 x 1)))
(*.f64 (log.f64 (+.f64 x 1)) 1)
(*.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(*.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1)))
(.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (/.f64 1 (log.f64 (+.f64 x 1))))
(.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (/.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1))))
(.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))))
(/.f64 (log.f64 (+.f64 x 1)) 1)
(/.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(pow.f64 (log.f64 (+.f64 x 1)) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 x 1))))

Outputs
x
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x)
(+.f64 x (*.f64 -1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) x))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/3 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 -1/2 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x)))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 x (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 -1/4 (pow.f64 x 4)) (*.f64 1/3 (pow.f64 x 3)))))
(+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 x (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(+.f64 x (+.f64 (.f64 -1/2 (pow.f64 x 2)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 -1/4 (pow.f64 x 4)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x))
(+.f64 (/.f64 1 x) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (/.f64 1 x) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1)))
(+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (log.f64 -1))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (log.f64 -1)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (/.f64 1 x) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (.f64 1/3 (/.f64 1 (pow.f64 x 3))))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 -1) (+.f64 (/.f64 1 x) (+.f64 (.f64 1/3 (/.f64 1 (pow.f64 x 3))) (neg.f64 (log.f64 (/.f64 -1 x)))))) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (+.f64 x 1)) 0)
(log.f64 (+.f64 x 1))
(+.f64 0 (log.f64 (+.f64 x 1)))
(log.f64 (+.f64 x 1))
(-.f64 (log.f64 (+.f64 x 1)) 0)
(log.f64 (+.f64 x 1))
(-.f64 0 (neg.f64 (log.f64 (+.f64 x 1))))
(log.f64 (+.f64 x 1))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x 1)))) 1)
(log.f64 (+.f64 x 1))
(*.f64 1 (log.f64 (+.f64 x 1)))
(log.f64 (+.f64 x 1))
(*.f64 (log.f64 (+.f64 x 1)) 1)
(log.f64 (+.f64 x 1))
(*.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(log.f64 (+.f64 x 1))
(*.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1)))
(log.f64 (+.f64 x 1))
(.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (/.f64 1 (log.f64 (+.f64 x 1))))
(log.f64 (+.f64 x 1))
(.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (/.f64 (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (log.f64 (+.f64 x 1))))
(log.f64 (+.f64 x 1))
(.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(log.f64 (+.f64 x 1))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(log.f64 (+.f64 x 1))
(.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (*.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))))
(log.f64 (+.f64 x 1))
(.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1)))) (.f64 (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))) (.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))))
(log.f64 (+.f64 x 1))
(/.f64 (log.f64 (+.f64 x 1)) 1)
(log.f64 (+.f64 x 1))
(/.f64 (log.f64 (+.f64 x 1)) (/.f64 (log.f64 (+.f64 x 1)) (log.f64 (+.f64 x 1))))
(log.f64 (+.f64 x 1))
(pow.f64 (log.f64 (+.f64 x 1)) 1)
(log.f64 (+.f64 x 1))
(neg.f64 (neg.f64 (log.f64 (+.f64 x 1))))
(log.f64 (+.f64 x 1))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 7 computations (30% saved)

series72.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
27.0ms	x	@	0	(log.f64 (/.f64 -1/2 x))
24.0ms	x	@	inf	(log.f64 (/.f64 -1/2 x))
21.0ms	x	@	-inf	(log.f64 (/.f64 -1/2 x))

rewrite100.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational.json-1`
1288×	`rational.json-5`
1288×	`rational.json-2`
1288×	`rational.json-3`
1286×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	57	11
2	184	11
3	655	11
4	2507	11

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 -1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 -1/2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (log.f64 (/.f64 -1/2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (log.f64 (/.f64 -1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (/.f64 1 (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (/.f64 (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))) (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))) (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))) (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))) (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 -1/2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (/.f64 -1/2 x))))))))

simplify267.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-49`
1372×	`rational.json-simplify-2`
962×	`rational.json-simplify-43`
938×	`rational.json-simplify-54`
724×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	461
1	92	453
2	282	453
3	1653	453
4	5261	453
5	7515	453

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1/2 x)) 0)
(+.f64 0 (log.f64 (/.f64 -1/2 x)))
(-.f64 (log.f64 (/.f64 -1/2 x)) 0)
(-.f64 0 (neg.f64 (log.f64 (/.f64 -1/2 x))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (/.f64 -1/2 x)))) 1)
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(*.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(*.f64 (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (log.f64 (/.f64 -1/2 x)))
(.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (/.f64 1 (log.f64 (/.f64 -1/2 x))))
(.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (/.f64 (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (log.f64 (/.f64 -1/2 x))))
(.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))
(.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))) (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))
(.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))))
(.f64 (.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))))
(/.f64 (log.f64 (/.f64 -1/2 x)) 1)
(/.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(neg.f64 (neg.f64 (log.f64 (/.f64 -1/2 x))))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(+.f64 (log.f64 (/.f64 -1/2 x)) 0)
(log.f64 (/.f64 -1/2 x))
(+.f64 0 (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(-.f64 (log.f64 (/.f64 -1/2 x)) 0)
(log.f64 (/.f64 -1/2 x))
(-.f64 0 (neg.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (/.f64 -1/2 x)))) 1)
(log.f64 (/.f64 -1/2 x))
(*.f64 (log.f64 (/.f64 -1/2 x)) 1)
(log.f64 (/.f64 -1/2 x))
(*.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(*.f64 1 (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(*.f64 (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (log.f64 (/.f64 -1/2 x)))
(log.f64 (/.f64 -1/2 x))
(.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (/.f64 1 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (/.f64 (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))) (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))) (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))
(log.f64 (/.f64 -1/2 x))
(.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (*.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))))
(log.f64 (/.f64 -1/2 x))
(.f64 (.f64 (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (/.f64 -1/2 x))) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x)))))))
(log.f64 (/.f64 -1/2 x))
(/.f64 (log.f64 (/.f64 -1/2 x)) 1)
(log.f64 (/.f64 -1/2 x))
(/.f64 (log.f64 (/.f64 -1/2 x)) (/.f64 (log.f64 (/.f64 -1/2 x)) (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))
(pow.f64 (log.f64 (/.f64 -1/2 x)) 1)
(log.f64 (/.f64 -1/2 x))
(neg.f64 (neg.f64 (log.f64 (/.f64 -1/2 x))))
(log.f64 (/.f64 -1/2 x))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
✓	0.2b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

2 → 15

Calls

6 calls:

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

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`rational.json-1`
1928×	`rational.json-5`
1928×	`rational.json-2`
1928×	`rational.json-3`
1926×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	98	54
2	278	54
3	1021	54
4	3819	54

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))) (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))) (*.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))) (*.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))) (*.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))) (/.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))) (*.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (/.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (/.f64 1 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (*.f64 (/.f64 1 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (*.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (*.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))) (/.f64 (/.f64 1 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) (*.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (/.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 1)))))

simplify158.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational.json-simplify-54`
1236×	`rational.json-simplify-43`
932×	`exponential.json-simplify-29`
882×	`rational.json-simplify-41`
818×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	1369
1	198	1345
2	507	1345
3	2662	1345
4	6127	1345

Stop Event

1×	node limit

Counts

39 → 76

Calls

Call 1

Inputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 2 x)
(+.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)
(+.f64 0 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)
(.f64 1 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))
(.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) 1)
(.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) 1))
(.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))) (/.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))))
(/.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)
(/.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(pow.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)
(-.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 0)
(.f64 1 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))
(.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) 1)
(.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (/.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))
(.f64 (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 1 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(.f64 (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (.f64 (/.f64 1 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) 1))
(.f64 (/.f64 1 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(.f64 (.f64 (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (/.f64 (/.f64 1 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))))
(/.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 1)
(/.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (/.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(pow.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 1)

Outputs
(+.f64 (log.f64 1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 1/2) (neg.f64 (log.f64 x)))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 4 (pow.f64 x 2))))
(+.f64 (log.f64 1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 4 (pow.f64 x 2))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 1/2) (+.f64 (+.f64 (.f64 -1 (log.f64 x)) (.f64 -8 (pow.f64 x 4))) (*.f64 4 (pow.f64 x 2))))
(+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (neg.f64 (log.f64 x)) (.f64 4 (pow.f64 x 2)))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (neg.f64 (log.f64 x)) (.f64 -8 (pow.f64 x 4)))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (.f64 -8 (pow.f64 x 4)))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (log.f64 1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (+.f64 (.f64 -1 (log.f64 x)) (.f64 64/3 (pow.f64 x 6))) (log.f64 1/2))))
(+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (neg.f64 (log.f64 x)) (*.f64 64/3 (pow.f64 x 6))))))
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (+.f64 (log.f64 1/2) (.f64 64/3 (pow.f64 x 6))) (+.f64 (.f64 4 (pow.f64 x 2)) (*.f64 -8 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (log.f64 2)))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))
(+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)))
(+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -2) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (log.f64 -2)))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (log.f64 -2)) (neg.f64 (log.f64 (/.f64 -1 x))))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (log.f64 -2)))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))
(/.f64 1/2 x)
(*.f64 2 x)
(*.f64 x 2)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(+.f64 0 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(-.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 0)
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(.f64 1 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) 1)
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(.f64 (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(.f64 (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) 1))
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))) (/.f64 (/.f64 1 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(/.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(/.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 (log.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))))
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))) 1)
(log.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))))
(log.f64 (+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x)))))
(-.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 0)
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(.f64 1 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (/.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))))
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(.f64 (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (/.f64 1 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(.f64 (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (.f64 (/.f64 1 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) 1))
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(.f64 (/.f64 1 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(.f64 (.f64 (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))) (/.f64 (/.f64 1 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x)))) (.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))))))
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(/.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(/.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (/.f64 (+.f64 (+.f64 x x) (.f64 1/2 (/.f64 1 x))) (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))))
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))
(pow.f64 (+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x))) 1)
(+.f64 (+.f64 x x) (*.f64 1/2 (/.f64 1 x)))
(+.f64 x (+.f64 x (*.f64 1/2 (/.f64 1 x))))

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -5/112 (pow.f64 x 7))
	0.1b	(*.f64 (pow.f64 x 5) 3/40)
	0.1b	(*.f64 (pow.f64 x 3) -1/6)
✓	21.2b	(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))

Compiler

Compiled 69 to 54 computations (21.7% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))
0.0ms	x	@	0	(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))
0.0ms	x	@	0	(*.f64 -5/112 (pow.f64 x 7))
0.0ms	x	@	inf	(*.f64 -5/112 (pow.f64 x 7))
0.0ms	x	@	-inf	(*.f64 -5/112 (pow.f64 x 7))

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`rational.json-5`
1868×	`exponential.json-3`
1868×	`rational.json-1`
1868×	`rational.json-2`
1868×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	97	44
2	273	44
3	959	44
4	3715	44

Stop Event

1×	node limit

Counts

2 → 17

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))))) (/.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -5/112 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -5/112 (pow.f64 x 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -5/112 (pow.f64 x 7)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -5/112 (pow.f64 x 7)) (/.f64 (*.f64 -5/112 (pow.f64 x 7)) (*.f64 -5/112 (pow.f64 x 7))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)))))

simplify240.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational.json-simplify-58`
968×	`rational.json-simplify-47`
660×	`rational.json-simplify-2`
658×	`rational.json-simplify-49`
638×	`rational.json-simplify-111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	737
1	70	737
2	235	737
3	1066	737
4	3828	737
5	6386	737

Stop Event

1×	node limit

Counts

29 → 20

Calls

Call 1

Inputs
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) 0)
(.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) 1)
(.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) 1))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))))) (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))))
(pow.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) 1)
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) 0)
(+.f64 0 (*.f64 -5/112 (pow.f64 x 7)))
(-.f64 (*.f64 -5/112 (pow.f64 x 7)) 0)
(/.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(/.f64 (.f64 -5/112 (pow.f64 x 7)) (/.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 -5/112 (pow.f64 x 7))))
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)

Outputs
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) 0)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))) 1)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) 1))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))))) (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) 1)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(pow.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 -5/112 (pow.f64 x 7))) 1)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7)))
(+.f64 (*.f64 -5/112 (pow.f64 x 7)) 0)
(*.f64 -5/112 (pow.f64 x 7))
(+.f64 0 (*.f64 -5/112 (pow.f64 x 7)))
(*.f64 -5/112 (pow.f64 x 7))
(-.f64 (*.f64 -5/112 (pow.f64 x 7)) 0)
(*.f64 -5/112 (pow.f64 x 7))
(/.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(*.f64 -5/112 (pow.f64 x 7))
(/.f64 (.f64 -5/112 (pow.f64 x 7)) (/.f64 (.f64 -5/112 (pow.f64 x 7)) (*.f64 -5/112 (pow.f64 x 7))))
(*.f64 -5/112 (pow.f64 x 7))
(pow.f64 (*.f64 -5/112 (pow.f64 x 7)) 1)
(*.f64 -5/112 (pow.f64 x 7))

eval196.0ms (1.1%)

Compiler: Compiled 6077 to 4811 computations (20.8% saved)

prune60.0ms (0.4%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	278	2	280
Fresh	0	4	4
Picked	0	1	1
Done	0	5	5
Total	278	12	290

Error

0.0b

Counts

290 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.3b	(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)
✓	31.5b	(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
✓	31.1b	(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
▶	31.5b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	47.3b	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
✓	48.8b	(log.f64 (/.f64 -1/2 x))
✓	46.9b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	52.2b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
▶	47.6b	(log.f64 (+.f64 x x))
✓	56.1b	(log.f64 (+.f64 x 1))
▶	55.8b	(log.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
	30.2b	x

Compiler

Compiled 279 to 194 computations (30.5% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% saved)

series0.0ms (0%)

Counts

2 → 3

Calls

6 calls:

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

rewrite87.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational.json-5`
1378×	`exponential.json-3`
1378×	`rational.json-1`
1378×	`rational.json-2`
1378×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	66	32
2	201	32
3	714	32
4	2740	32

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

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

simplify153.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1438×	`rational.json-simplify-2`
1008×	`rational.json-simplify-54`
968×	`rational.json-simplify-43`
798×	`rational.json-simplify-1`
756×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	673
1	150	581
2	461	581
3	2338	581
4	5835	581

Stop Event

1×	node limit

Counts

35 → 35

Calls

Call 1

Inputs
x
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(+.f64 0 (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) 0)
(-.f64 0 (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(/.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(/.f64 (.f64 -1/6 (pow.f64 x 3)) (/.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(neg.f64 (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) (neg.f64 x))
(-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 0)
(-.f64 0 (-.f64 (neg.f64 x) (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (-.f64 x (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))
(-.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 (-.f64 0 (-.f64 -1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) 1)
(-.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 -1 x)) 1)
(.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) 1)
(.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (/.f64 (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(.f64 (/.f64 (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(.f64 (.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))
(/.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)
(/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)
(neg.f64 (-.f64 (neg.f64 x) (*.f64 -1/6 (pow.f64 x 3))))

Outputs
x
(*.f64 -1/6 (pow.f64 x 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 -1/6 (pow.f64 x 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 (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(/.f64 (.f64 -1/6 (pow.f64 x 3)) (/.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 1)
(*.f64 -1/6 (pow.f64 x 3))
(neg.f64 (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 -1/6 (pow.f64 x 3))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (*.f64 -1/6 (pow.f64 x 3)) (neg.f64 x))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 0)
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 0 (-.f64 (neg.f64 x) (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (-.f64 x (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) 1)
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 1 (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (-.f64 0 (-.f64 -1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))) 1)
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(-.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (-.f64 -1 x)) 1)
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) 1)
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (/.f64 1 (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (/.f64 (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (/.f64 (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (/.f64 (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(.f64 (.f64 (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3)))))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (.f64 -1/6 (pow.f64 x 3)))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (.f64 -1/6 (pow.f64 x 3))))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(/.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (/.f64 (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(pow.f64 (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) 1)
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 -1/6 (pow.f64 x 3))))
(-.f64 x (neg.f64 (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (+.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series60.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
40.0ms	x	@	-inf	(log.f64 (+.f64 x x))
12.0ms	x	@	0	(log.f64 (+.f64 x x))
7.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1222×	`rational.json-1`
1222×	`rational.json-5`
1222×	`rational.json-2`
1222×	`rational.json-3`
1220×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	50	11
2	177	11
3	622	11
4	2374	11

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 x x)) (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (/.f64 1 (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (/.f64 (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 (+.f64 x x))) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))) (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 x x)) (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (+.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (log.f64 (+.f64 x x))))))))

simplify267.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-49`
1384×	`rational.json-simplify-2`
970×	`rational.json-simplify-43`
946×	`rational.json-simplify-54`
724×	`rational.json-simplify-58`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	485
1	94	469
2	283	469
3	1660	469
4	5289	469
5	7526	469

Stop Event

1×	node limit

Counts

31 → 25

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (+.f64 x x)) 0)
(+.f64 0 (log.f64 (+.f64 x x)))
(-.f64 (log.f64 (+.f64 x x)) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 x x))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x x)))) 1)
(*.f64 (log.f64 (+.f64 x x)) 1)
(*.f64 (log.f64 (+.f64 x x)) (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(*.f64 1 (log.f64 (+.f64 x x)))
(*.f64 (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(.f64 (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (/.f64 1 (log.f64 (+.f64 x x))))
(.f64 (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (/.f64 (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x))))
(.f64 (/.f64 1 (log.f64 (+.f64 x x))) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(.f64 (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))
(.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))))
(/.f64 (log.f64 (+.f64 x x)) 1)
(/.f64 (log.f64 (+.f64 x x)) (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 x x))))

Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(+.f64 (log.f64 (+.f64 x x)) 0)
(log.f64 (+.f64 x x))
(+.f64 0 (log.f64 (+.f64 x x)))
(log.f64 (+.f64 x x))
(-.f64 (log.f64 (+.f64 x x)) 0)
(log.f64 (+.f64 x x))
(-.f64 0 (neg.f64 (log.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x x)))) 1)
(log.f64 (+.f64 x x))
(*.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))
(*.f64 (log.f64 (+.f64 x x)) (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(*.f64 1 (log.f64 (+.f64 x x)))
(log.f64 (+.f64 x x))
(*.f64 (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x)))
(log.f64 (+.f64 x x))
(.f64 (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (/.f64 1 (log.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(.f64 (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (/.f64 (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))) (log.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(.f64 (/.f64 1 (log.f64 (+.f64 x x))) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(.f64 (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))
(log.f64 (+.f64 x x))
(.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (*.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))))
(log.f64 (+.f64 x x))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x x))) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x)))))))
(log.f64 (+.f64 x x))
(/.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))
(/.f64 (log.f64 (+.f64 x x)) (/.f64 (log.f64 (+.f64 x x)) (log.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))
(pow.f64 (log.f64 (+.f64 x x)) 1)
(log.f64 (+.f64 x x))
(neg.f64 (neg.f64 (log.f64 (+.f64 x x))))
(log.f64 (+.f64 x x))

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series62.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	x	@	inf	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
19.0ms	x	@	0	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
12.0ms	x	@	-inf	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1852×	`rational.json-1`
1852×	`rational.json-2`
1852×	`rational.json-3`
1846×	`rational.json-5`
1844×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	93	25
2	273	25
3	946	25
4	3703	25

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (/.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (*.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) (*.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (*.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (/.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) (*.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (/.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)))))

simplify290.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1200×	`rational.json-simplify-2`
1120×	`rational.json-simplify-79`
1056×	`rational.json-simplify-80`
970×	`rational.json-simplify-50`
906×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	903
1	70	895
2	116	895
3	243	895
4	678	895
5	1600	895
6	3396	895
7	4751	895
8	6525	895

Stop Event

1×	node limit

Counts

23 → 21

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)
(*.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (/.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (*.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1))
(.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))
(.f64 (.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (/.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) (*.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))))
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (/.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)

Outputs
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) (neg.f64 (log.f64 2)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) (neg.f64 (log.f64 2)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) (neg.f64 (log.f64 2)))
(-.f64 (log.f64 2) (*.f64 -1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) (neg.f64 (log.f64 2)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (log.f64 2) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 -1)))
(-.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 0)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (/.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))
(*.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (/.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (*.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) 1))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))))
(.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))))
(.f64 (.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))) (/.f64 (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))) (*.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)))))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))))
(.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (/.f64 1 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))))))
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (/.f64 (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2)) (-.f64 (log.f64 (/.f64 1 x)) (log.f64 2))))
(/.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) (/.f64 (-.f64 (log.f64 2) (log.f64 (/.f64 1 x))) (-.f64 (log.f64 2) (log.f64 (/.f64 1 x)))))
(pow.f64 (+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x)))) 1)
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))

localize51.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (pow.f64 x 5) 3/40)
	0.1b	(*.f64 (pow.f64 x 3) -1/6)
✓	3.5b	(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)
✓	17.6b	(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))

Compiler

Compiled 70 to 56 computations (20% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))
0.0ms	x	@	0	(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))
0.0ms	x	@	-inf	(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)
0.0ms	x	@	-inf	(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))
0.0ms	x	@	inf	(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)

rewrite166.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`rational.json-simplify-47`
758×	`rational.json-simplify-1`
710×	`rational.json-5`
710×	`rational.json-simplify-44`
708×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	80
1	143	80
2	425	80
3	1562	68
4	6105	68

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))
(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 5) 3/40) (neg.f64 (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 5) 3/40) (-.f64 (-.f64 1 (*.f64 (pow.f64 x 3) -1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) -1/6) (neg.f64 (*.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 x 3) -1/6) (-.f64 (-.f64 1 (*.f64 (pow.f64 x 5) 3/40)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (-.f64 -1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (-.f64 (-.f64 1 (*.f64 (pow.f64 x 5) 3/40)) (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (*.f64 (pow.f64 x 5) 3/40)) (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (+.f64 (*.f64 (pow.f64 x 3) -1/6) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/6) 1) (-.f64 1 (*.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/6) 1) (-.f64 (neg.f64 (*.f64 (pow.f64 x 5) 3/40)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) 1) (-.f64 1 (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) 1) (-.f64 (neg.f64 (*.f64 (pow.f64 x 3) -1/6)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 (*.f64 (pow.f64 x 5) 3/40) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 3) -1/6) -1) (-.f64 -1 (*.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) -1) (-.f64 -1 (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -2 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))) (/.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))) (/.f64 (*.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 1) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 x 5) 3/40)) (*.f64 (pow.f64 x 3) -1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 5) 3/40) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 3) -1/6) (+.f64 x (*.f64 (pow.f64 x 5) 3/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (-.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 5) 3/40))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (pow.f64 x 3) -1/6) (-.f64 (-.f64 -1 x) (*.f64 (pow.f64 x 5) 3/40))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (+.f64 (*.f64 (pow.f64 x 3) -1/6) -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x 1) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (+.f64 (*.f64 (pow.f64 x 3) -1/6) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (*.f64 (pow.f64 x 5) 3/40))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (*.f64 (pow.f64 x 5) 3/40)) (*.f64 (pow.f64 x 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 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(*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))) (*.f64 (*.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))) (*.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (/.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (-.f64 -1 x) (-.f64 (-.f64 1 (*.f64 (pow.f64 x 5) 3/40)) (*.f64 (pow.f64 x 3) -1/6))))))))

simplify327.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1524×	`rational.json-simplify-49`
1048×	`rational.json-simplify-2`
1042×	`rational.json-simplify-54`
962×	`rational.json-simplify-50`
804×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	143	2955
1	309	2955
2	864	2955
3	3147	2955
4	7543	2955

Stop Event

1×	node limit

Counts

89 → 79

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(-.f64 (.f64 (pow.f64 x 5) 3/40) (neg.f64 (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 (-.f64 1 (.f64 (pow.f64 x 3) -1/6)) 1))
(-.f64 (.f64 (pow.f64 x 3) -1/6) (neg.f64 (.f64 (pow.f64 x 5) 3/40)))
(-.f64 (.f64 (pow.f64 x 3) -1/6) (-.f64 (-.f64 1 (.f64 (pow.f64 x 5) 3/40)) 1))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) 0)
(-.f64 -1 (-.f64 -1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(-.f64 1 (-.f64 (-.f64 1 (.f64 (pow.f64 x 5) 3/40)) (.f64 (pow.f64 x 3) -1/6)))
(-.f64 0 (-.f64 (neg.f64 (.f64 (pow.f64 x 5) 3/40)) (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 (.f64 (pow.f64 x 3) -1/6) -1)) -1)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) 1) (-.f64 1 (.f64 (pow.f64 x 5) 3/40)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) 1) (-.f64 (neg.f64 (.f64 (pow.f64 x 5) 3/40)) -1))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) 1) (-.f64 1 (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) 1) (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) -1))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 5) 3/40) 1)) 1)
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) -1) (-.f64 -1 (.f64 (pow.f64 x 5) 3/40)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) -1) (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)))
(-.f64 (-.f64 0 (-.f64 -2 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) 2)
(.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) 1)
(.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))
(.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 1))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))
(.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 1) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))))
(/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) 1)
(/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(pow.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) 1)
(neg.f64 (-.f64 (neg.f64 (.f64 (pow.f64 x 5) 3/40)) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 x (.f64 (pow.f64 x 5) 3/40)))
(+.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) x)
(+.f64 -1 (-.f64 (.f64 (pow.f64 x 3) -1/6) (-.f64 (-.f64 -1 x) (.f64 (pow.f64 x 5) 3/40))))
(+.f64 (-.f64 (.f64 (pow.f64 x 3) -1/6) (-.f64 (-.f64 -1 x) (.f64 (pow.f64 x 5) 3/40))) -1)
(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 x -1)))
(+.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 0)
(+.f64 0 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 (.f64 (pow.f64 x 3) -1/6) -1)) (+.f64 x 1))
(+.f64 (+.f64 x 1) (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 (.f64 (pow.f64 x 3) -1/6) -1)))
(+.f64 (+.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 x -1)) 1)
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (.f64 (pow.f64 x 5) 3/40))
(+.f64 (+.f64 x (.f64 (pow.f64 x 5) 3/40)) (.f64 (pow.f64 x 3) -1/6))
(.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))
(.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 1)
(.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))))
(.f64 (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))
(.f64 (-.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) -1)
(.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))) 1))
(.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (/.f64 -1 (-.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(.f64 (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))))
(.f64 (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (/.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) 1) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))) (.f64 (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) (.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))))
(/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 1)
(/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))))
(/.f64 (-.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) -1)
(pow.f64 (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) 1)
(neg.f64 (-.f64 (neg.f64 x) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(neg.f64 (+.f64 (-.f64 -1 x) (-.f64 (-.f64 1 (.f64 (pow.f64 x 5) 3/40)) (.f64 (pow.f64 x 3) -1/6))))

Outputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(*.f64 3/40 (pow.f64 x 5))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(-.f64 (.f64 (pow.f64 x 5) 3/40) (neg.f64 (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (.f64 (pow.f64 x 5) 3/40) (-.f64 (-.f64 1 (.f64 (pow.f64 x 3) -1/6)) 1))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (.f64 (pow.f64 x 3) -1/6) (neg.f64 (.f64 (pow.f64 x 5) 3/40)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (.f64 (pow.f64 x 3) -1/6) (-.f64 (-.f64 1 (.f64 (pow.f64 x 5) 3/40)) 1))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) 0)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 -1 (-.f64 -1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 1 (-.f64 (-.f64 1 (.f64 (pow.f64 x 5) 3/40)) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 0 (-.f64 (neg.f64 (.f64 (pow.f64 x 5) 3/40)) (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 (.f64 (pow.f64 x 3) -1/6) -1)) -1)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) 1) (-.f64 1 (.f64 (pow.f64 x 5) 3/40)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) 1) (-.f64 (neg.f64 (.f64 (pow.f64 x 5) 3/40)) -1))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) 1) (-.f64 1 (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) 1) (-.f64 (neg.f64 (.f64 (pow.f64 x 3) -1/6)) -1))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 5) 3/40) 1)) 1)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 3) -1/6) -1) (-.f64 -1 (.f64 (pow.f64 x 5) 3/40)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) -1) (-.f64 -1 (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(-.f64 (-.f64 0 (-.f64 -2 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)))) 2)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)) 1)
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 3) -1/6))) 1))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))) (.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3)))
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(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(neg.f64 (+.f64 (-.f64 -1 x) (-.f64 (-.f64 1 (.f64 (pow.f64 x 5) 3/40)) (.f64 (pow.f64 x 3) -1/6))))
(+.f64 (+.f64 x (.f64 3/40 (pow.f64 x 5))) (.f64 -1/6 (pow.f64 x 3)))
(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))

localize198.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	3.8b	(log.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
✓	11.1b	(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
	14.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 270 to 149 computations (44.8% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite184.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`rational.json-simplify-47`
1108×	`rational.json-simplify-55`
728×	`rational.json-1`
728×	`rational.json-5`
728×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	398
1	136	398
2	424	50
3	1631	50
4	7159	50

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs

(*.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))

(log.f64 (*.f64 (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (*.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 x (-.f64 -1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))

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

simplify172.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1388×	`rational.json-simplify-47`
1178×	`rational.json-simplify-49`
1112×	`exponential.json-simplify-29`
1076×	`rational.json-simplify-2`
886×	`rational.json-simplify-50`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	155	1835
1	306	1827
2	600	1827
3	2189	1827

Stop Event

1×	node limit

Counts

57 → 95

Calls

Call 1

Inputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) x)
(+.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(+.f64 0 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (neg.f64 x))
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(-.f64 0 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (-.f64 1 x))
(-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(-.f64 (-.f64 x (-.f64 -1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))

Outputs
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 1 x))
(+.f64 1 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 1 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))))
(+.f64 x (+.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4))) 1))
(+.f64 x (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1/8 (pow.f64 x 4)))))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 x 2) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 x 2) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (+.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 (pow.f64 x 3) -1/6))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 x (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 (pow.f64 x 5) 3/40)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (*.f64 (pow.f64 x 7) -5/112))))
(+.f64 (.f64 (pow.f64 x 3) -1/6) (+.f64 x (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 (pow.f64 x 7) -5/112))))
(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (+.f64 (.f64 (pow.f64 x 7) -5/112) (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 x (+.f64 (.f64 (pow.f64 x 7) -5/112) (+.f64 (.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 5) 3/40))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (log.f64 2) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) x)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 0 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 x (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (neg.f64 x))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 0 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (-.f64 0 (-.f64 -1 x)) (-.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (-.f64 0 (-.f64 -1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) (-.f64 1 x))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(-.f64 (-.f64 x (-.f64 -1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 0 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))

eval1.5s (9%)

Compiler: Compiled 48502 to 30528 computations (37.1% saved)

prune274.0ms (1.6%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	844	4	848
Fresh	0	1	1
Picked	0	1	1
Done	2	8	10
Total	846	14	860

Error

0.0b

Counts

860 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	60.7b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))
▶	52.2b	(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)
✓	31.5b	(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
✓	31.1b	(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
✓	31.5b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	47.3b	(+.f64 (log.f64 2) (log.f64 x))
✓	48.8b	(log.f64 (/.f64 -1/2 x))
▶	52.3b	(log.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1))
✓	46.9b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	52.2b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	47.6b	(log.f64 (+.f64 x x))
✓	56.1b	(log.f64 (+.f64 x 1))
✓	55.8b	(log.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
	30.2b	x

Compiler

Compiled 196 to 141 computations (28.1% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1)
✓	1.5b	(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x))
✓	3.8b	(log.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1))
	14.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 56 to 34 computations (39.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite134.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`rational.json-simplify-47`
672×	`rational.json-simplify-54`
646×	`rational.json-simplify-1`
644×	`rational.json-1`
644×	`rational.json-5`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	103
1	113	103
2	375	103
3	1401	79
4	5478	79

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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simplify236.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

854×	`rational.json-simplify-1`
752×	`rational.json-simplify-47`
556×	`rational.json-simplify-111`
554×	`rational.json-simplify-2`
488×	`rational.json-simplify-54`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	235	3337
1	476	3329
2	1132	3329
3	3676	3329
4	6925	3329

Stop Event

1×	node limit

Counts

113 → 168

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 1 (*.f64 2 x))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (.f64 2 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 1 (.f64 2 x))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
1
(-.f64 1 (*.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 1 (.f64 1/8 (/.f64 1 (pow.f64 x 3)))) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/16 (/.f64 1 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(-.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(-.f64 0 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(.f64 (.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (+.f64 x 1))
(+.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(+.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 0 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 (+.f64 x 1) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(+.f64 (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))) x)
(.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)
(.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) -1)
(.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))
(.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 (/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 -1 (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (neg.f64 (/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(.f64 (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))
(/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(/.f64 (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) -1)
(pow.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(neg.f64 (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (+.f64 x -1)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) x)
(+.f64 -1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) -1)
(+.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(+.f64 0 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) -1) (+.f64 x 1))
(+.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) -1))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (+.f64 x -1)) 1)
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 1)
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))
(.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1))) -1)
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 -1 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(/.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))) -1)
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(neg.f64 (+.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -5/112 (pow.f64 x 7)))))
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(.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 -1 (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(.f64 (neg.f64 (/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(.f64 (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(.f64 (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(.f64 (.f64 (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(/.f64 (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) -1)
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(pow.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(neg.f64 (-.f64 -1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 (sqrt.f64 (+.f64 1 (*.f64 x x))) (+.f64 x 1))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 1 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (+.f64 x -1)))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) x)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 -1 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (+.f64 x (+.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))) -1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 0)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 0 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) -1) (+.f64 x 1))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (+.f64 x 1) (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) -1))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(+.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (+.f64 x -1)) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1))) -1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 -1 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 (.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(.f64 (.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(/.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))) -1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(pow.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) 1)
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(neg.f64 (-.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))
(neg.f64 (+.f64 (-.f64 -1 x) (-.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x))))

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series23.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
0.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))
0.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))

rewrite82.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1476×	`rational.json-1`
1476×	`rational.json-5`
1476×	`rational.json-2`
1476×	`rational.json-3`
1474×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	66	15
2	209	15
3	748	15
4	2888	15

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 2) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (neg.f64 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (neg.f64 (log.f64 x)) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (log.f64 2))) (-.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 2) (-.f64 -1 (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 (-.f64 -1 (log.f64 2)) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (-.f64 -1 (log.f64 x))) (-.f64 1 (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 x) (-.f64 -1 (log.f64 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (*.f64 (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 2)))))))

simplify184.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1566×	`rational.json-simplify-50`
1224×	`rational.json-simplify-54`
1216×	`rational.json-simplify-43`
1170×	`rational.json-simplify-58`
680×	`exponential.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	65	693
1	147	585
2	401	585
3	2351	585
4	6356	585

Stop Event

1×	node limit

Counts

31 → 28

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 x) (neg.f64 (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)
(-.f64 0 (-.f64 (neg.f64 (log.f64 x)) (log.f64 2)))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 2))) (-.f64 1 (log.f64 x)))
(-.f64 (-.f64 (log.f64 2) (-.f64 -1 (log.f64 x))) 1)
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (log.f64 2)) (log.f64 x))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 x))) (-.f64 1 (log.f64 2)))
(-.f64 (-.f64 (log.f64 x) (-.f64 -1 (log.f64 2))) 1)
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))
(*.f64 1 (+.f64 (log.f64 2) (log.f64 x)))
(*.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))
(.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x))))
(.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))
(.f64 (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))))
(.f64 (.f64 (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))))
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 2)))

Outputs
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 2) (log.f64 -1)))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (log.f64 x) (neg.f64 (log.f64 2)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (+.f64 (log.f64 2) (log.f64 x)) 0)
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 0 (-.f64 (neg.f64 (log.f64 x)) (log.f64 2)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 2))) (-.f64 1 (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (-.f64 (log.f64 2) (-.f64 -1 (log.f64 x))) 1)
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (-.f64 0 (-.f64 (-.f64 -1 (log.f64 2)) (log.f64 x))) 1)
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 x))) (-.f64 1 (log.f64 2)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(-.f64 (-.f64 (log.f64 x) (-.f64 -1 (log.f64 2))) 1)
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 1 (+.f64 (log.f64 2) (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(*.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (/.f64 (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (+.f64 (log.f64 2) (log.f64 x))))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(.f64 (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (*.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(.f64 (.f64 (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))) (/.f64 (/.f64 (/.f64 1 (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x)))) (.f64 (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))) (.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(/.f64 (+.f64 (log.f64 2) (log.f64 x)) (/.f64 (+.f64 (log.f64 2) (log.f64 x)) (+.f64 (log.f64 2) (log.f64 x))))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(pow.f64 (+.f64 (log.f64 2) (log.f64 x)) 1)
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))
(neg.f64 (-.f64 (neg.f64 (log.f64 x)) (log.f64 2)))
(-.f64 (log.f64 2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 2) (log.f64 x))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
✓	3.5b	(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)
	3.8b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
	14.4b	(sqrt.f64 (+.f64 (*.f64 x x) 1))

Compiler

Compiled 75 to 46 computations (38.7% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

inf

(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)

0.0ms

-inf

(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)

0.0ms

(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)

rewrite120.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`rational.json-simplify-47`
694×	`rational.json-simplify-54`
636×	`rational.json-simplify-1`
618×	`rational.json-simplify-50`
606×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	140	27
2	413	27
3	1328	27
4	5252	27

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)

Outputs

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

simplify258.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1494×	`rational.json-simplify-2`
1290×	`rational.json-simplify-58`
1006×	`rational.json-simplify-43`
994×	`rational.json-simplify-54`
744×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	1375
1	195	1367
2	442	1367
3	1877	1367
4	4456	1367
5	6758	1367

Stop Event

1×	node limit

Counts

41 → 67

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(+.f64 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) -1)
(+.f64 (+.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) 1)
(.f64 -1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) -1)
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 -1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (neg.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 -1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(/.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) -1)
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 x (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5))))
(+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -1/6 (pow.f64 x 3))))
(+.f64 x (+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 3/40 (pow.f64 x 5))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 (*.f64 -5/112 (pow.f64 x 7)) x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) (+.f64 x (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 x (+.f64 (+.f64 (.f64 3/40 (pow.f64 x 5)) (.f64 -5/112 (pow.f64 x 7))) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (+.f64 (.f64 3/40 (pow.f64 x 5)) (*.f64 -5/112 (pow.f64 x 7)))))
(+.f64 (+.f64 x (.f64 -5/112 (pow.f64 x 7))) (+.f64 (.f64 -1/6 (pow.f64 x 3)) (*.f64 3/40 (pow.f64 x 5))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x)))))
(+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 -1 (log.f64 (/.f64 1 x))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (log.f64 2) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (.f64 -1 (log.f64 (/.f64 1 x))))) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (+.f64 (log.f64 2) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))) (neg.f64 (log.f64 (/.f64 1 x))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))) (*.f64 3/32 (/.f64 1 (pow.f64 x 4))))
(+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 -1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 1/2) (.f64 3/32 (/.f64 1 (pow.f64 x 4))))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 (/.f64 -1 x)))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 (/.f64 -1 x)) (log.f64 1/2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (log.f64 1/2))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6)))))
(+.f64 0 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 -1 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 1 (+.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 0)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) -1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(+.f64 (+.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 -1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) -1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 -1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (/.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (neg.f64 (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) 1) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (/.f64 (/.f64 -1 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(.f64 (.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))) (/.f64 (/.f64 (/.f64 1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (/.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(/.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) -1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))) 1)
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(neg.f64 (neg.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 1 (*.f64 x x)))))

localize22.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	3.5b	(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))

Compiler

Compiled 47 to 39 computations (17% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))

0.0ms

inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))

0.0ms

-inf

(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))

rewrite109.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1104×	`rational.json-simplify-2`
650×	`rational.json-simplify-47`
608×	`rational.json-simplify-54`
606×	`rational.json-simplify-58`
578×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	130	31
2	396	19
3	1310	19
4	4741	19

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))

Outputs

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

simplify230.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

924×	`rational.json-simplify-1`
886×	`rational.json-simplify-49`
790×	`rational.json-simplify-41`
652×	`rational.json-simplify-42`
632×	`rational.json-simplify-58`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	863
1	141	863
2	376	863
3	1314	863
4	4323	863
5	6838	863

Stop Event

1×	node limit

Counts

47 → 37

Calls

Call 1

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

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

eval225.0ms (1.3%)

Compiler: Compiled 10860 to 8174 computations (24.7% saved)

prune92.0ms (0.5%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	476	2	478
Fresh	0	1	1
Picked	1	0	1
Done	2	10	12
Total	479	13	492

Error

0.0b

Counts

492 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	60.7b	(+.f64 (-.f64 x 1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
✓	31.5b	(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
	52.2b	(+.f64 (+.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) 1)
✓	31.5b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	47.3b	(+.f64 (log.f64 2) (log.f64 x))
✓	48.8b	(log.f64 (/.f64 -1/2 x))
✓	52.3b	(log.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1))
✓	46.9b	(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
✓	52.2b	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
✓	47.6b	(log.f64 (+.f64 x x))
✓	56.1b	(log.f64 (+.f64 x 1))
✓	55.8b	(log.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))
	30.2b	x

Compiler

Compiled 178 to 126 computations (29.2% saved)

regimes63.0ms (0.4%)

Counts

18 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(+.f64 (-.f64 x 1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1))
(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (+.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)
(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
(log.f64 (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))) (/.f64 (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) 1)))))))

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7))))
(+.f64 (log.f64 2) (log.f64 x))

Calls

3 calls:

32.0ms	x
13.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
12.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.4b	3	`x`
7.6b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.6b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 253 to 178 computations (29.6% saved)

bsearch47.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	0.009180864232970666	181.63136219211188
18.0ms	-3.2817490403215825	-0.005311512561361791

Results

41.0ms

256×

body

256

valid

Compiler

Compiled 454 to 370 computations (18.5% saved)

regimes216.0ms (1.3%)

Counts

16 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(+.f64 (-.f64 x 1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1))
(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (+.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))) 1)
(-.f64 (-.f64 0 (-.f64 -1 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))))) 1)
(-.f64 (-.f64 (+.f64 (.f64 (pow.f64 x 5) 3/40) (.f64 (pow.f64 x 3) -1/6)) (-.f64 -1 x)) 1)

Outputs
(log.f64 (/.f64 -1/2 x))
(+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6)))
(+.f64 (log.f64 2) (log.f64 x))

Calls

3 calls:

85.0ms	x
62.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
55.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.4b	3	`x`
7.7b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.7b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 169 to 126 computations (25.4% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
16.0ms	0.009180864232970666	181.63136219211188
18.0ms	-3.2817490403215825	-0.005311512561361791

Results

30.0ms

256×

body

256

valid

Compiler

Compiled 358 to 290 computations (19% saved)

regimes73.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(+.f64 (-.f64 x 1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))
(log.f64 (-.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) 1)) (-.f64 -1 x)) 1))

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

Calls

3 calls:

32.0ms	x
28.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
10.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0.5b	3	`x`
7.8b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.8b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 111 to 82 computations (26.1% saved)

bsearch35.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
17.0ms	0.009180864232970666	181.63136219211188
17.0ms	-3.2817490403215825	-0.005311512561361791

Results

29.0ms

256×

body

256

valid

Compiler

Compiled 262 to 210 computations (19.8% saved)

regimes37.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
x
(log.f64 (+.f64 x 1))
(log.f64 (+.f64 x x))
(log.f64 (/.f64 -1/2 x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(log.f64 (+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x))))
(+.f64 (-.f64 x 1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) 1))
(-.f64 (-.f64 0 (-.f64 -1 (*.f64 -1/6 (pow.f64 x 3)))) (-.f64 1 x))

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

Calls

1 calls:

32.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 57 to 43 computations (24.6% saved)

bsearch66.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
43.0ms	0.009180864232970666	181.63136219211188
23.0ms	-3.2817490403215825	-0.005311512561361791

Results

60.0ms

256×

body

256

valid

Compiler

Compiled 302 to 242 computations (19.9% saved)

regimes18.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 23 to 15 computations (34.8% saved)

bsearch47.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
31.0ms	0.009180864232970666	181.63136219211188
17.0ms	-3.2817490403215825	-0.005311512561361791

Results

43.0ms

256×

body

256

valid

Compiler

Compiled 254 to 194 computations (23.6% saved)

regimes13.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
1.0b	3	`x`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch73.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
26.0ms	0.009180864232970666	181.63136219211188
46.0ms	-3.2817490403215825	-0.005311512561361791

Results

67.0ms

256×

body

256

valid

Compiler

Compiled 158 to 114 computations (27.8% saved)

regimes15.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

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

Outputs
x
(log.f64 (+.f64 x x))

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
15.0b	2	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch41.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
41.0ms	0.009180864232970666	181.63136219211188

Results

38.0ms

128×

body

256

valid

Compiler

Compiled 86 to 58 computations (32.6% saved)

regimes29.0ms (0.2%)

Accuracy

Total -34.4b remaining (-132.4%)

Threshold costs -34.4b (-132.4%)

Counts

2 → 2

Calls

Call 1

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

Outputs
x
(log.f64 (+.f64 x 1))

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
25.9b	2	`x`

Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	0.009180864232970666	181.63136219211188

Results

24.0ms

128×

body

256

valid

Compiler

Compiled 86 to 66 computations (23.3% saved)

simplify32.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	463

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log.f64 (+.f64 x 1)))
x

Outputs
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (+.f64 x (.f64 (pow.f64 x 3) -1/6)) (+.f64 (.f64 (pow.f64 x 5) 3/40) (*.f64 -5/112 (pow.f64 x 7)))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5854679515581645/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5854679515581645/4503599627370496) (+.f64 (.f64 (pow.f64 x 5) 3/40) (+.f64 x (.f64 (pow.f64 x 3) -1/6))) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (+.f64 (log.f64 2) (log.f64 x))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 1080863910568919/1125899906842624) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 (.f64 2 x) (*.f64 1/2 (/.f64 1 x))))))
(if (<=.f64 x -5764607523034235/4503599627370496) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
(if (<=.f64 x 3602879701896397/2251799813685248) x (log.f64 (+.f64 x 1)))
x

Compiler

Compiled 187 to 138 computations (26.2% saved)

soundness313.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1576×	`rational.json-simplify-49`
1328×	`rational.json-simplify-2`
1014×	`rational.json-simplify-50`
884×	`rational.json-simplify-54`
876×	`exponential.json-simplify-29`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	177	2233
1	316	2217
2	661	2217
3	2363	2217
4	7378	2217

Stop Event

1×	node limit

Compiler

Compiled 172 to 136 computations (20.9% saved)

end157.0ms (0.9%)

Compiler: Compiled 179 to 124 computations (30.7% saved)