Details

analyze33.0ms (0.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	6.2%	93.8%	0%	0%	0%	0
0%	0%	6.2%	93.8%	0%	0%	0%	1
50%	3.1%	3.1%	93.8%	0%	0%	0%	2
50%	3.1%	3.1%	93.8%	0%	0%	0%	3
75%	4.7%	1.6%	93.8%	0%	0%	0%	4
75%	4.7%	1.6%	93.8%	0%	0%	0%	5
87.5%	5.5%	0.8%	93.8%	0%	0%	0%	6
87.5%	5.5%	0.8%	93.8%	0%	0%	0%	7
93.8%	5.8%	0.4%	93.8%	0%	0%	0%	8
93.8%	5.8%	0.4%	93.8%	0%	0%	0%	9
96.9%	6%	0.2%	93.8%	0%	0%	0%	10
96.9%	6%	0.2%	93.8%	0%	0%	0%	11
98.4%	6.1%	0.1%	93.8%	0%	0%	0%	12

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample1.7s (14%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess24.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

128×	`rational_best-simplify-1`
74×	`rational_best-simplify-50`
4×	`rational_best-simplify-59`
4×	`rational_best-simplify-3`
4×	`exponential-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
1	47	106
2	72	106
3	99	106
4	127	106
5	158	106
6	162	106
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u1))) 1/2)

Outputs
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u1))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (.f64 u1 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2) (cos.f64 (.f64 u1 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2) (.f64 1/6 (cos.f64 (.f64 u1 (*.f64 2 (PI.f64)))))))

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

66×	`rational_best-simplify-1`
36×	`rational_best-simplify-50`
2×	`rational_best-simplify-59`
2×	`rational_best-simplify-3`
2×	`exponential-simplify-27`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	32	53
2	46	53
3	60	53
4	74	53
5	89	53
6	91	53

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Outputs

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

(+.f64 1/2 (*.f64 (*.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))))

(+.f64 1/2 (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))

eval1.0ms (0%)

Compiler: Compiled 55 to 45 computations (18.2% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	2	3
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.4b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
▶	0.4b	(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))

Status

Error

Program

▶

0.4b

(+.f64 1/2 (*.f64 (*.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))))

▶

0.4b

(+.f64 1/2 (*.f64 1/6 (*.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))

Compiler

Compiled 38 to 34 computations (10.5% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓	0.3b	(*.f64 (PI.f64) u2)
✓	0.4b	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))

Compiler

Compiled 80 to 50 computations (37.5% saved)

series64.0ms (0.5%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	u1	@	0	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
14.0ms	u1	@	-inf	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
9.0ms	u2	@	inf	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
9.0ms	u1	@	inf	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
6.0ms	u2	@	-inf	(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational_best-simplify-63`
832×	`rational_best-4`
832×	`rational_best-2`
832×	`rational_best-3`
832×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	138	126
2	265	126
3	674	126
4	2165	126

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(*.f64 (PI.f64) u2)
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 4) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 4) (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 4) (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 4) (/.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (/.f64 (neg.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 2) 2) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 4) (/.f64 (neg.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 2 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3) (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 4)) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 4) (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (+.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))) (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)) (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (+.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 2 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (-.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))) (-.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3) (-.f64 (.f64 2 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (-.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3) (-.f64 (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))) (-.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)) (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (+.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (+.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (cos.f64 (.f64 -2 (.f64 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simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1398×	`rational_best-simplify-1`
1162×	`rational_best-simplify-63`
860×	`rational_best-simplify-47`
606×	`rational_best-simplify-50`
604×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	8314
1	895	8176
2	2548	7894

Stop Event

1×	node limit

Counts

192 → 217

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
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(/.f64 (.f64 (.f64 (*.f64 2 (PI.f64)) 4) (+.f64 u2 u2)) 16)
(/.f64 (.f64 (.f64 2 (.f64 u2 4)) (.f64 2 (PI.f64))) 16)
(/.f64 (.f64 (.f64 2 (PI.f64)) (.f64 2 (.f64 u2 4))) 16)
(pow.f64 (*.f64 (PI.f64) u2) 1)
(+.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 0)
(+.f64 0 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
(+.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2) (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) (+.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) (/.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 2)))
(+.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) (/.f64 (/.f64 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 3) 2) 2))
(+.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) (/.f64 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 3) 4))
(-.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 0)
(-.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2) (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) -2))
(-.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2) (/.f64 (.f64 -2 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) 4))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 3) 2) 2) (/.f64 (/.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) -2) 2))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 3) 4) (/.f64 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) 4))
(.f64 1/2 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 2))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1)
(.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
(*.f64 (pow.f64 -2 1/2) (pow.f64 (log.f64 u1) 1/2))
(*.f64 (pow.f64 (log.f64 u1) 1/2) (pow.f64 -2 1/2))
(.f64 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 2) 1/2)
(.f64 (/.f64 (pow.f64 -2 1/2) 2) (.f64 2 (pow.f64 (log.f64 u1) 1/2)))
(.f64 (.f64 2 (pow.f64 (log.f64 u1) 1/2)) (/.f64 (pow.f64 -2 1/2) 2))
(.f64 (.f64 2 (pow.f64 -2 1/2)) (/.f64 (pow.f64 (log.f64 u1) 1/2) 2))
(.f64 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 4) 1/4)
(.f64 1/4 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 4))
(.f64 (/.f64 (pow.f64 (log.f64 u1) 1/2) 2) (.f64 2 (pow.f64 -2 1/2)))
(.f64 (pow.f64 (.f64 (log.f64 u1) 2) 1/2) (pow.f64 -1 1/2))
(.f64 (pow.f64 1/2 1/2) (pow.f64 (.f64 (log.f64 u1) -4) 1/2))
(.f64 (pow.f64 (.f64 (log.f64 u1) -4) 1/2) (pow.f64 1/2 1/2))
(.f64 (pow.f64 -1 1/2) (pow.f64 (.f64 (log.f64 u1) 2) 1/2))
(/.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1)
(/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2) 2)
(/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 4)) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 -2 1/2))) (.f64 2 (*.f64 2 (pow.f64 (log.f64 u1) 1/2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (pow.f64 (log.f64 u1) 1/2))) (.f64 2 (*.f64 2 (pow.f64 -2 1/2)))) 16)
(/.f64 (.f64 (.f64 2 (*.f64 2 (pow.f64 (log.f64 u1) 1/2))) (pow.f64 -2 1/2)) 4)
(/.f64 (.f64 (.f64 2 (*.f64 2 (pow.f64 -2 1/2))) (pow.f64 (log.f64 u1) 1/2)) 4)
(-.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) -1/2)
(-.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 0)
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) 1/4) (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) 1/4) (/.f64 (neg.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 4))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (+.f64 -1/2 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2)))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (+.f64 (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2)) -1/4))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))) 2))
(-.f64 (+.f64 1/4 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) -1/4)
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) -1/2) (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2))
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2))) -1/4)
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 3/2) 2) 2) (/.f64 (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) -2)) 2))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 3/2) 4) (/.f64 (-.f64 -1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 4))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) 1/4)) 2) (/.f64 (+.f64 -3/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) -2)) 2))
(.f64 1/2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))))
(.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1)
(.f64 1 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 1/2)
(.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 1/4)
(.f64 1/4 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3)))))
(/.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 1)
(/.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3))) 2)
(/.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 4)
(/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 4) 8)
(pow.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 1)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 -1)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 -1)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
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(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))))
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(.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))))
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(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
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(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 0)
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) 1/4) (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2)))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) 1/4) (/.f64 (neg.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 4))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
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(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
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(-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))) 2))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (+.f64 1/4 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) -1/4)
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) -1/2) (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (-.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2))) -1/4)
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 3/2) 2) 2) (/.f64 (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) -2)) 2))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3))) 3/2) 4) (+.f64 -1/8 (/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) -4)))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) 3/2) 4) (+.f64 (/.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) -4) -1/8))
(/.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (-.f64 -1/2 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3))) 3/2))) 4)
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 3/2) 4) (/.f64 (-.f64 -1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 4))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3))) 3/2) 4) (+.f64 -1/8 (/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) -4)))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) 3/2) 4) (+.f64 (/.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) -4) -1/8))
(/.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (-.f64 -1/2 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3))) 3/2))) 4)
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) 1/4)) 2) (/.f64 (+.f64 -3/4 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) -2)) 2))
(-.f64 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (+.f64 (/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) 1/4)) 2) (+.f64 -3/8 (/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) -4)))
(-.f64 (+.f64 1/8 (/.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (/.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2)) 2)) (+.f64 (/.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) -4) -3/8))
(+.f64 (/.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (+.f64 -1/4 (neg.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))) 2) 3/8)
(.f64 1/2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))))
(.f64 1/2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))))
(.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1)
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 1/2)
(.f64 1/2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))))
(.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 1/4)
(.f64 1/2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))))
(.f64 1/4 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3)))))
(.f64 1/2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))))
(/.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 1)
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3))) 2)
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 4)
(/.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3)))) 4)
(/.f64 (.f64 2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) 4)
(/.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2/3)) -2)) 8)
(/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 4) 8)
(/.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3)))) 4)
(/.f64 (.f64 2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) 4)
(/.f64 (.f64 2 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2/3)) -2)) 8)
(pow.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 1)
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Compiler

Compiled 75 to 53 computations (29.3% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
0.0ms	u1	@	inf	(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
0.0ms	u1	@	0	(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
0.0ms	u2	@	0	(.f64 (.f64 2 (PI.f64)) u2)
0.0ms	u2	@	inf	(.f64 (.f64 2 (PI.f64)) u2)

rewrite334.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1216×	`rational_best-simplify-63`
854×	`rational_best-4`
854×	`rational_best-2`
854×	`rational_best-3`
854×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
1	134	91
2	251	91
3	672	91
4	2190	91

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
(.f64 (.f64 2 (PI.f64)) u2)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Outputs
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Outputs

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simplify214.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1374×	`rational_best-simplify-63`
1124×	`rational_best-simplify-3`
1082×	`rational_best-simplify-56`
1062×	`rational_best-simplify-1`
794×	`rational_best-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	4244
1	561	4188
2	1385	4042
3	4832	4030

Stop Event

1×	node limit

Counts

108 → 107

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
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(+.f64 (/.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 4) (/.f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/2) 2) 2))
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(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 2/3)) 8)
(pow.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 1)
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(+.f64 (/.f64 (.f64 (PI.f64) u2) 2) (/.f64 (.f64 (PI.f64) (*.f64 u2 3)) 2))
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(-.f64 (.f64 2 (.f64 (PI.f64) u2)) 0)
(-.f64 (.f64 (PI.f64) u2) (neg.f64 (.f64 (PI.f64) u2)))
(-.f64 (.f64 (PI.f64) u2) (/.f64 (neg.f64 (.f64 (PI.f64) (*.f64 u2 4))) 4))
(-.f64 (/.f64 (.f64 (PI.f64) u2) 2) (+.f64 (neg.f64 (.f64 (PI.f64) u2)) (-.f64 0 (/.f64 (*.f64 (PI.f64) u2) 2))))
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(-.f64 (/.f64 (.f64 (PI.f64) (.f64 u2 3)) 2) (/.f64 (neg.f64 (*.f64 (PI.f64) u2)) 2))
(-.f64 (/.f64 (.f64 u2 (.f64 (PI.f64) 6)) 4) (-.f64 0 (/.f64 (*.f64 (PI.f64) u2) 2)))
(/.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)
(/.f64 (.f64 (PI.f64) (.f64 u2 4)) 2)
(/.f64 (.f64 u2 (.f64 (PI.f64) 8)) 4)
(/.f64 (.f64 (.f64 u2 4) (*.f64 (PI.f64) 8)) 16)
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(/.f64 (+.f64 (.f64 2 (.f64 u2 (.f64 (PI.f64) 8))) (.f64 2 (.f64 u2 (.f64 (PI.f64) 8)))) 16)
(pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)
(-.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -1/2)
(-.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 0)
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(-.f64 (/.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (/.f64 (neg.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 4))
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(.f64 1/4 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3)))))
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(/.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 4)
(/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 4) 8)
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Outputs
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(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
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(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
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(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
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(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
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(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (/.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (/.f64 (neg.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 4))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (+.f64 -1/2 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -2)))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (+.f64 (+.f64 -1/4 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -2)) -1/4))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 2))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (+.f64 1/4 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) -1/4)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) -1/2) (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -2))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2) (+.f64 -1/4 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -2))) -1/4)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3) 2) 2) (/.f64 (+.f64 -1/4 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -2)) 2))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3) 4) (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 4))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(-.f64 (/.f64 (+.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (/.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2)) 2) (/.f64 (+.f64 -3/4 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -2)) 2))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (+.f64 1/4 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 2))) (+.f64 (/.f64 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) -2) -3/4)) 2)
(-.f64 (/.f64 (+.f64 (/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 4) (+.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/4)) 2) (+.f64 -3/8 (/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))) -8)))
(+.f64 (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) -2))) 2) 3/8)
(/.f64 (-.f64 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) -3/4) (+.f64 -1/4 (/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) -2))) 2)
(.f64 1/2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 1/4)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/4 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3)))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3))) 2)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (.f64 2 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 4)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3))) 4) 8)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(pow.f64 (+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))

eval166.0ms (1.3%)

Compiler: Compiled 9806 to 7351 computations (25% saved)

prune61.0ms (0.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	361	6	367
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	363	6	369

Error

0.1b

Counts

369 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(/.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (-.f64 -1/2 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3))) 3/2))) 4)
▶	0.3b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
▶	0.4b	(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
▶	0.4b	(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
▶	1.7b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
▶	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 260 to 228 computations (12.3% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
✓	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
✓	0.2b	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
✓	0.3b	(*.f64 u2 (PI.f64))

Compiler

Compiled 93 to 66 computations (29% saved)

series38.0ms (0.3%)

Counts

4 → 56

Calls

18 calls:

Time	Variable		Point	Expression
23.0ms	u2	@	inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
7.0ms	u1	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
4.0ms	u2	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u1	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u2	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))

rewrite113.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`rational_best-simplify-63`
1038×	`rational_best-4`
1038×	`rational_best-2`
1038×	`rational_best-3`
1038×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	140
1	148	140
2	278	132
3	747	132
4	2687	132

Stop Event

1×	node limit

Counts

4 → 64

Calls

Call 1

Inputs
(*.f64 u2 (PI.f64))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 u2 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 u2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 u2 (PI.f64)) 2) (/.f64 (.f64 u2 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 u2 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 u2 (PI.f64)) 2) (/.f64 (neg.f64 (.f64 u2 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 u2 (PI.f64)) 2) (/.f64 (.f64 -2 (.f64 u2 (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 u2 (PI.f64)) 2) (+.f64 (/.f64 (neg.f64 (.f64 u2 (PI.f64))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 u2 (PI.f64)) 2) (+.f64 (/.f64 (.f64 -2 (.f64 u2 (PI.f64))) 4) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 u2 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 u2 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 u2 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 u2 (PI.f64)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) (+.f64 u2 u2)) 8) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 u2 (PI.f64)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) (+.f64 (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/3)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) 2/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (log.f64 (/.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) (/.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 (/.f64 1 u1)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) (+.f64 -1/2 (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) (+.f64 (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))) 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) 1/4) (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) 1/4) (+.f64 (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) -1/2) (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2) (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))) 2)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 2 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 1)))))

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1528×	`rational_best-simplify-63`
1116×	`rational_best-simplify-50`
964×	`rational_best-simplify-64`
844×	`rational_best-simplify-75`
798×	`rational_best-simplify-76`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	5650
1	434	5418
2	1144	5276
3	4247	5276

Stop Event

1×	node limit

Counts

120 → 144

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
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(/.f64 (.f64 (.f64 u2 (PI.f64)) 8) 8)
(/.f64 (.f64 (.f64 (PI.f64) (+.f64 u2 u2)) 8) 16)
(pow.f64 (*.f64 u2 (PI.f64)) 1)
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(/.f64 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 2/3) 4)
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(.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4) 1/4)
(.f64 1/4 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4))
(*.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))
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(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 4) 8)
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(/.f64 (.f64 (.f64 2 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2)) 4) 8)
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Outputs
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
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(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 -2) 1/6)))
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(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
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(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 -2) 1/6)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 -2) 1/6)))
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(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 -2) 1/6)))
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(.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 1)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(.f64 (.f64 2 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2)) 1/2)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 4) 1/4)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(.f64 1/4 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 4))
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(/.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 1)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(/.f64 (.f64 2 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2)) 2)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 4) 4)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(/.f64 (.f64 (.f64 2 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2)) 4) 8)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(pow.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) 1/2) 1)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2)))) -1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))))))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -2))
✓	0.4b	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))

Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
0.0ms	u1	@	0	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
0.0ms	u1	@	-inf	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
0.0ms	u1	@	inf	(sqrt.f64 (*.f64 (log.f64 u1) -2))
0.0ms	u1	@	-inf	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1508×	`rational_best-4`
1508×	`rational_best-2`
1508×	`rational_best-3`
1508×	`rational_best-1`
1508×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	80	63
2	150	63
3	351	63
4	994	63
5	4085	63

Stop Event

1×	node limit

Counts

3 → 115

Calls

Call 1

Inputs
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4) (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4)) (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2) 2) (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 4) (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4)) (neg.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2) 2) (/.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 4) (/.f64 (neg.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4) (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 2) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 4) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 1/4) (-.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (-.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (+.f64 -1/4 (-.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/4) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 1/4) (+.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4) 1/8)) (neg.f64 (+.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) -1/2) (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (-.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 1/4)) 2) (/.f64 (+.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) -2) -3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 3/2) 2) 2) (/.f64 (-.f64 -1/4 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 3/2) 4) (/.f64 (-.f64 -1/2 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) (+.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4) 1/8)) (-.f64 -1/4 (+.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 4) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 4) (*.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))))

simplify133.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best-simplify-1`
1168×	`rational_best-simplify-3`
1044×	`rational_best-simplify-108`
602×	`rational_best-simplify-47`
502×	`rational_best-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	255	3847
1	579	3605
2	1512	3587
3	5590	3575

Stop Event

1×	node limit

Counts

151 → 151

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(+.f64 0 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4))
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4)))
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 2) 2))
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 4))
(+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4)) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 2) 2) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 4) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4))
(-.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -2))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4)) (neg.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 2) 2) (/.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 4) (/.f64 (neg.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 4))
(/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 8)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4)) 16)
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1)
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(+.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 2) 2))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 4))
(+.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 2) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 4) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -2))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2))
(.f64 1/2 (sqrt.f64 (.f64 (log.f64 u1) -8)))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(.f64 2 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))
(.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 2 (.f64 (sqrt.f64 -2) (/.f64 (sqrt.f64 (log.f64 u1)) 2)))
(.f64 2 (.f64 (sqrt.f64 (log.f64 u1)) (/.f64 (sqrt.f64 -2) 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) 1/2)
(.f64 (.f64 (sqrt.f64 -2) 2) (/.f64 (sqrt.f64 (log.f64 u1)) 2))
(.f64 (.f64 (sqrt.f64 -2) 2) (*.f64 1/2 (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) 2) (/.f64 (sqrt.f64 -2) 2))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) 2) (*.f64 1/2 (sqrt.f64 -2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4) 1/4)
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))
(.f64 (/.f64 (sqrt.f64 (log.f64 u1)) 2) (.f64 (sqrt.f64 -2) 2))
(.f64 (/.f64 (sqrt.f64 -2) 2) (.f64 (sqrt.f64 (log.f64 u1)) 2))
(.f64 (.f64 2 (*.f64 (sqrt.f64 (log.f64 u1)) 2)) (/.f64 (sqrt.f64 -2) 4))
(.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 u1)) 2)) (.f64 1/2 (/.f64 (sqrt.f64 -2) 2)))
(.f64 (.f64 2 (*.f64 (sqrt.f64 -2) 2)) (/.f64 (sqrt.f64 (log.f64 u1)) 4))
(.f64 (.f64 2 (.f64 (sqrt.f64 -2) 2)) (.f64 1/2 (/.f64 (sqrt.f64 (log.f64 u1)) 2)))
(.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) 1/8)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 1/2) (sqrt.f64 (.f64 (log.f64 u1) -4)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) 2)) (sqrt.f64 -1))
(.f64 (sqrt.f64 -1) (sqrt.f64 (.f64 (log.f64 u1) 2)))
(.f64 (.f64 1/2 (sqrt.f64 -2)) (*.f64 (sqrt.f64 (log.f64 u1)) 2))
(.f64 1/8 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)))
(.f64 (/.f64 (sqrt.f64 (log.f64 u1)) 4) (.f64 2 (*.f64 (sqrt.f64 -2) 2)))
(.f64 (/.f64 (sqrt.f64 -2) 4) (.f64 2 (*.f64 (sqrt.f64 (log.f64 u1)) 2)))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) 2)) (sqrt.f64 (.f64 (log.f64 u1) 2))) (.f64 (/.f64 (sqrt.f64 -2) 2) (sqrt.f64 1/2)))
(.f64 (.f64 (sqrt.f64 -2) (/.f64 (sqrt.f64 (log.f64 u1)) 2)) 2)
(.f64 (.f64 1/2 (/.f64 (sqrt.f64 (log.f64 u1)) 2)) (.f64 2 (.f64 (sqrt.f64 -2) 2)))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) (/.f64 (sqrt.f64 -2) 2)) 2)
(.f64 (.f64 1/2 (/.f64 (sqrt.f64 -2) 2)) (.f64 2 (.f64 (sqrt.f64 (log.f64 u1)) 2)))
(.f64 (.f64 (/.f64 (sqrt.f64 -2) 2) (sqrt.f64 1/2)) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) 2)) (sqrt.f64 (.f64 (log.f64 u1) 2))))
(.f64 (.f64 1/2 (sqrt.f64 (log.f64 u1))) (*.f64 (sqrt.f64 -2) 2))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) 4)) (sqrt.f64 -1/2))
(.f64 (sqrt.f64 -1/2) (sqrt.f64 (.f64 (log.f64 u1) 4)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 1/2)
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 u1)) 2)) (.f64 2 (*.f64 (sqrt.f64 -2) 2))) 16)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(-.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -1/2)
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 0)
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) 1/4) (-.f64 -1/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (-.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (+.f64 -1/4 (-.f64 -1/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))) 2))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/4) -1/4)
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) 1/4) (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)) (neg.f64 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) -1/2) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -2))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (-.f64 -1/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4))) -1/4)
(-.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) 1/4)) 2) (/.f64 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -2) -3/4) 2))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 3/2) 2) 2) (/.f64 (-.f64 -1/4 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4)) 2))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 3/2) 4) (/.f64 (-.f64 -1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 4))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)) (-.f64 -1/4 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)))
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))
(.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)
(.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))
(.f64 2 (+.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 1/4))
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 1/2)
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2) 1/4)
(.f64 1/4 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2))
(.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 4) 1/8)
(.f64 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) 2)
(.f64 1/8 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 4))
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(/.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2) 4)
(/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 4) 8)
(/.f64 (+.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 4) (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 4)) 16)
(pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(sqrt.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
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(+.f64 1/8 (-.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (+.f64 -3/8 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -8))))
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) -1/2) (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -2))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (-.f64 -1/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4))) -1/4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) 1/4)) 2) (/.f64 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -2) -3/4) 2))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) 1/4) (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)) (neg.f64 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)))
(-.f64 (+.f64 1/4 (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8) 1/8)) (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) -4) -1/8))
(+.f64 1/8 (-.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (+.f64 -3/8 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -8))))
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 3/2) 2) 2) (/.f64 (-.f64 -1/4 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4)) 2))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 3/2) 4) (-.f64 -1/8 (/.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 2)))
(/.f64 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (-.f64 -1/2 (.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 3/2))) 4)
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 3/2) 4) (/.f64 (-.f64 -1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 4))
(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 3/2) 4) (-.f64 -1/8 (/.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 2)))
(/.f64 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (-.f64 -1/2 (.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 3/2))) 4)
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)) (-.f64 -1/4 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 4) 1/4) (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)) (neg.f64 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 1/8)))
(-.f64 (+.f64 1/4 (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8) 1/8)) (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) -4) -1/8))
(+.f64 1/8 (-.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (+.f64 -3/8 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -8))))
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 2 (+.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 4) 1/4))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2) 1/4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/4 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 4) 1/8)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) 2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/8 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 4))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2) 4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 4) 8)
(/.f64 (.f64 4 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))) 8)
(/.f64 (.f64 4 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2)) 16)
(/.f64 (+.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 4) (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 4)) 16)
(/.f64 (.f64 4 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))) 8)
(/.f64 (.f64 4 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2)) 16)
(pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -2))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))

Compiler

Compiled 71 to 49 computations (31% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
0.0ms	u1	@	0	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
0.0ms	u1	@	-inf	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
0.0ms	u1	@	inf	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
0.0ms	u2	@	inf	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1212×	`rational_best-simplify-63`
852×	`rational_best-4`
852×	`rational_best-2`
852×	`rational_best-3`
852×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	134	51
2	248	51
3	659	51
4	2180	51

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 2) 1/4) (+.f64 -1/4 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 2) 1/4) (/.f64 (neg.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/3)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 2) (+.f64 -1/2 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 2) (+.f64 (+.f64 -1/4 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) -2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 2) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/4 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 2) -1/2) (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 2) (+.f64 -1/4 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) -2))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 3) 2) 2) (/.f64 (+.f64 -1/4 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 3) 4) (/.f64 (-.f64 -1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) (+.f64 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 2) 1/4)) 2) (/.f64 (+.f64 -3/4 (/.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/3))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/3)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/3)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/3))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1)))))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1024×	`rational_best-simplify-65`
862×	`rational_best-simplify-57`
828×	`rational_best-simplify-48`
756×	`rational_best-simplify-52`
682×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	143	2872
1	342	2808
2	759	2736
3	2110	2724

Stop Event

1×	node limit

Counts

48 → 56

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
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Outputs
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(-.f64 (-.f64 (/.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) (+.f64 -1/4 (/.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) -2))) -1/4)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 3) 2) 2) (/.f64 (+.f64 -1/4 (/.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) -2)) 2))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(-.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 3) 4) (/.f64 (-.f64 -1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 4))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(-.f64 (/.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (+.f64 (/.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 2) 1/4)) 2) (/.f64 (+.f64 -3/4 (/.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) -2)) 2))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/3))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/3))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 (.f64 2 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/3)))) 1/4)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 1/4 (.f64 2 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/3)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(/.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 1)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(/.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/3))) 2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(/.f64 (.f64 2 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/3)))) 4)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/3))) 4) 8)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 1)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -2))
	0.3b	(*.f64 u2 (PI.f64))
✓	0.4b	(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))

Compiler

Compiled 76 to 46 computations (39.5% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u2	@	0	(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
0.0ms	u2	@	0	(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
0.0ms	u1	@	-inf	(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
0.0ms	u1	@	-inf	(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
0.0ms	u1	@	inf	(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1210×	`rational_best-simplify-63`
828×	`rational_best-4`
828×	`rational_best-2`
828×	`rational_best-3`
828×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
1	135	96
2	256	96
3	662	96
4	2165	96

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)) (+.f64 -1/2 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)) (+.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) -2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (/.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 1)))))

simplify143.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1110×	`rational_best-simplify-66`
1106×	`rational_best-simplify-3`
996×	`rational_best-simplify-75`
954×	`rational_best-simplify-76`
828×	`rational_best-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	248	7457
1	615	7101
2	1586	6895
3	4363	6879

Stop Event

1×	node limit

Counts

109 → 149

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
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(.f64 (+.f64 1 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))) 1/2)
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(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4))
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(pow.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 1)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))))
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(.f64 1/2 (+.f64 1 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 1)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (+.f64 1 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))) 1/2)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4) 1/4)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 1)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(/.f64 (+.f64 1 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3))) 2)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4) 4)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(/.f64 (.f64 (+.f64 1 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))) 4) 8)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
(pow.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 1)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) -1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
	0.3b	(*.f64 u2 (PI.f64))
✓	0.4b	(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.4b	(.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 97 to 69 computations (28.9% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u2	@	0	(.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
0.0ms	u1	@	-inf	(.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
0.0ms	u1	@	-inf	(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u2	@	inf	(.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))

rewrite78.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`rational_best-simplify-63`
936×	`rational_best-4`
936×	`rational_best-2`
936×	`rational_best-3`
936×	`rational_best-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	104
1	133	104
2	247	96
3	685	96
4	2430	96

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs

(*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))

(*.f64 1/6 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2) (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2) 2) (+.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2) 2) (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 3)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 4) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2) (/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2) (+.f64 (/.f64 (neg.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 4) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2) 2) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2) 2) (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2) 2) (/.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 4) (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2) (+.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))) 2/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 1)))))

simplify214.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1258×	`rational_best-simplify-1`
1156×	`rational_best-simplify-51`
738×	`rational_best-simplify-66`
710×	`rational_best-simplify-76`
708×	`rational_best-simplify-75`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	4659
1	381	4311
2	978	4183
3	3244	4151
4	7997	4151

Stop Event

1×	node limit

Counts

79 → 87

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
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(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6)) 2) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6))) 2))
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(/.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2/3) 4)
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(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 1)

Outputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6))
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eval332.0ms (2.7%)

Compiler: Compiled 20711 to 15499 computations (25.2% saved)

prune152.0ms (1.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	838	6	844
Fresh	1	0	1
Picked	1	0	1
Done	1	3	4
Total	841	9	850

Error

0.1b

Counts

850 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(-.f64 (/.f64 (+.f64 1/4 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)))) 2) (+.f64 (/.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) -4) -3/8))
▶	1.7b	(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
▶	30.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
▶	0.3b	(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
▶	30.3b	(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2)))) 1/2)
▶	1.7b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
✓	1.7b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 359 to 308 computations (14.2% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
✓	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	0.2b	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
	0.3b	(*.f64 u2 (PI.f64))

Compiler

Compiled 87 to 51 computations (41.4% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u2	@	0	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u2	@	inf	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u2	@	-inf	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u1	@	-inf	(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`rational_best-simplify-63`
1124×	`rational_best-2`
1124×	`rational_best-3`
1124×	`rational_best-1`
1122×	`rational_best-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	144	125
2	283	117
3	768	109
4	2830	109

Stop Event

1×	node limit

Counts

3 → 51

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))

(sqrt.f64 (neg.f64 (log.f64 u1)))

(+.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 1/6 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) (/.f64 (neg.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) (+.f64 (/.f64 (neg.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) 1/3)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) (*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 2)) 2/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 2)) 2/3) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (sqrt.f64 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) 1/4) (/.f64 (-.f64 -1/2 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) 1/4) (+.f64 (/.f64 (-.f64 -1/2 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) (+.f64 -1/2 (/.f64 (neg.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) (+.f64 (/.f64 (-.f64 -1/2 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) -1/2) (/.f64 (neg.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) (/.f64 (-.f64 -1/2 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2)) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1/2 (+.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) 1/3)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64)))) 1/3)))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))))

simplify120.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1310×	`rational_best-simplify-63`
1152×	`rational_best-simplify-51`
1124×	`rational_best-simplify-57`
874×	`rational_best-simplify-50`
870×	`rational_best-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	5315
1	429	4999
2	1009	4863
3	3289	4863

Stop Event

1×	node limit

Counts

111 → 114

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
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(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
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(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
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(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1))))))))
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(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
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(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)
(+.f64 0 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
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(-.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)
(-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))
(-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) (+.f64 (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) 0))
(/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/3)) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2/3) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 1/3)) 4) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 2)) 2/3)) 16)
(/.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 2)) 2/3) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 16)
(pow.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(+.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(+.f64 0 (sqrt.f64 (neg.f64 (log.f64 u1))))
(+.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(-.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2))
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2) 0))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(*.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 1/2)
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) 2)) (sqrt.f64 -1/2))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 1/4)
(/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 8)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(-.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) -1/2)
(-.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 0)
(-.f64 (+.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) 1/4) (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) 1/4) (+.f64 (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) 0))
(-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) (+.f64 -1/2 (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)))
(-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) (+.f64 (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) -1/4))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) -1/2) (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) -1/4)
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 1/3)))))
(.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(.f64 1 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 1/3)))) 1/2)
(.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 1/4)
(/.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/3)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 4) 4)
(/.f64 (.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 1/3)))) 4) 8)
(pow.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)

Outputs
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
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(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 1/3)) 4) 8)
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 2)) 2/3)) 16)
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 2)) 2/3) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 16)
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(pow.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(+.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(+.f64 0 (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(+.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(-.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2) 0))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 1/2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) 2)) (sqrt.f64 -1/2))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 1/4)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 8)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(-.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) -1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(-.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 0)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) 1/4) (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(-.f64 (+.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) 1/4) (+.f64 (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) 0))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) (+.f64 -1/2 (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) (+.f64 (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) -1/4))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) -1/2) (/.f64 (neg.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2) (/.f64 (-.f64 -1/2 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) -1/4)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 1/3)))))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 1/3)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 1/4)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(/.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/3)))) 2)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 4) 4)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(/.f64 (.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 1/3)))) 4) 8)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(pow.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -4))
✓	0.4b	(.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2)))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series6.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2)))
1.0ms	u1	@	0	(.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))
0.0ms	u1	@	inf	(.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))
0.0ms	u1	@	inf	(.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2)))
0.0ms	u1	@	-inf	(.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))

rewrite140.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1192×	`rational_best-simplify-75`
846×	`rational_best-simplify-66`
816×	`rational_best-simplify-63`
770×	`rational_best-simplify-56`
566×	`rational_best-simplify-55`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	96
1	97	96
2	190	78
3	468	78
4	1469	78
5	5960	78

Stop Event

1×	node limit

Counts

4 → 148

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))
(.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2)))
(sqrt.f64 (*.f64 (log.f64 u1) -4))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 1/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2)) (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1)))))

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1054×	`rational_best-simplify-47`
946×	`rational_best-simplify-1`
756×	`rational_best-simplify-57`
750×	`rational_best-simplify-55`
746×	`rational_best-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	4944
1	923	4784
2	2443	4766

Stop Event

1×	node limit

Counts

196 → 204

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -4))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -4)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -4)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -4)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -4)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -4))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -4))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -4))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -4))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(+.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (.f64 -3/2 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 4))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -2))
(-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (.f64 -3 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))
(-.f64 (/.f64 (.f64 -3/2 (neg.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -2)) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (neg.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4))) (-.f64 (neg.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)) 8)
(/.f64 (.f64 4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4))) 16)
(/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (.f64 4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4))) 32)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 2) 4)) 64)
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(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -4))
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(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 u1))) (sqrt.f64 -8))
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(.f64 2 (.f64 (sqrt.f64 -4) (/.f64 (sqrt.f64 (log.f64 u1)) 2)))
(.f64 2 (.f64 (sqrt.f64 (log.f64 u1)) (/.f64 (sqrt.f64 -4) 2)))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 2) 1/2)
(.f64 (.f64 (sqrt.f64 1/2) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -8)) 2))
(.f64 -2 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) -2))
(.f64 (sqrt.f64 -2) (sqrt.f64 (.f64 (log.f64 u1) 2)))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 1/2) 2)
(.f64 (/.f64 (sqrt.f64 (log.f64 u1)) 2) (.f64 (sqrt.f64 -4) 2))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) 2) (/.f64 (sqrt.f64 -4) 2))
(.f64 (.f64 (sqrt.f64 (log.f64 u1)) 2) (*.f64 1 (/.f64 (sqrt.f64 -4) 2)))
(.f64 (.f64 (sqrt.f64 -4) 2) (/.f64 (sqrt.f64 (log.f64 u1)) 2))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 4) 1/4)
(.f64 (.f64 (sqrt.f64 1/2) 4) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -8)) 4))
(.f64 (/.f64 (sqrt.f64 -4) 2) (.f64 (sqrt.f64 (log.f64 u1)) 2))
(.f64 (.f64 2 (*.f64 (sqrt.f64 -4) 2)) (/.f64 (sqrt.f64 (log.f64 u1)) 4))
(.f64 (.f64 2 (.f64 (sqrt.f64 -4) 2)) (.f64 1/2 (/.f64 (sqrt.f64 (log.f64 u1)) 2)))
(.f64 (.f64 2 (*.f64 (sqrt.f64 (log.f64 u1)) 2)) (/.f64 (sqrt.f64 -4) 4))
(.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 u1)) 2)) (.f64 1/2 (/.f64 (sqrt.f64 -4) 2)))
(.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 8))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 2) 4) 1/8)
(.f64 (.f64 4 (sqrt.f64 -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) 4))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) (sqrt.f64 1/2))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) 2)) (sqrt.f64 -2))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) 2)) (sqrt.f64 (.f64 (log.f64 u1) 2))) (/.f64 (.f64 2 (sqrt.f64 -2)) 4))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -16)) 1/2)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) 4)) (sqrt.f64 -1))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 2) 4) 8)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 2) 4) (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 2) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 u1)) 2)) (.f64 2 (*.f64 (sqrt.f64 -4) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 -4) 2)) (.f64 2 (*.f64 (sqrt.f64 (log.f64 u1)) 2))) 16)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 1)
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -1/2)
(-.f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 0)
(-.f64 (+.f64 1/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2)) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2) -1/4))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2) (+.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2)))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2) (+.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2) -1/4) -1/4))
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(-.f64 (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) -1/4)
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(-.f64 (/.f64 (.f64 3 (+.f64 1/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2))) 2) (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) -2) -1/4) 2))
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(-.f64 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))) 2) (/.f64 (+.f64 -3/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2)) 2))
(-.f64 (+.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2)) (-.f64 -1/4 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))))
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(-.f64 (-.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2)) (-.f64 -1/4 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))))
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(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))) (-.f64 (-.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4) -1/4) (/.f64 (-.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 2)) 2))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4) (+.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)))
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))
(.f64 (+.f64 1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1)
(.f64 1 (+.f64 1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))
(.f64 2 (+.f64 1/4 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 2)))
(.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 1/2)
(.f64 -2 (+.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) -2) -1/4))
(.f64 1/4 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2))
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2) 1/4)
(.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2)) 1/8)
(/.f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1)
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(/.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2)) 8)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2)) (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2))) 16)
(pow.f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1)

Outputs
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -4)) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/2) 2))
(.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))
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(-.f64 (/.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 3/2) 4) (/.f64 (-.f64 -1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 4))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 3/2) (-.f64 -1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 4)
(/.f64 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (-.f64 -1/2 (.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 3/2))) 4)
(/.f64 (+.f64 (-.f64 (.f64 3/2 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3))) -1/2) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 4)
(-.f64 (/.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))) 2) (/.f64 (+.f64 -3/4 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2)) 2))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (+.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2)) (-.f64 -1/4 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2)) (-.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2) -1/4)) (neg.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) -1/4) (/.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))) 4))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2)) (-.f64 -1/4 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) (neg.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)))) (-.f64 (neg.f64 (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))) (+.f64 1/8 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4))) (-.f64 (-.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4) -1/4) (/.f64 (-.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 2)) 2))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4) (+.f64 -1/2 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 4)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (+.f64 1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1 (+.f64 1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 2 (+.f64 1/4 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 2)))
(.f64 2 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2) 1/4))
(.f64 2 (+.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 8) 1/4))
(.f64 2 (+.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4/3) 16) 1/4))
(.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 -2 (+.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) -2) -1/4))
(.f64 -2 (+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) -2) -1/4))
(.f64 -2 (+.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4/3) -16) -1/4))
(.f64 1/4 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2) 1/4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2)) 1/8)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2) 4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2)) 8)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2)) (.f64 2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) -2))) 16)
(/.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) -2)) 8)
(pow.f64 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8)
✓	0.0b	(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -2))
	0.4b	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))

Compiler

Compiled 84 to 64 computations (23.8% saved)

series83.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
81.0ms	u1	@	0	(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
1.0ms	u1	@	inf	(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
1.0ms	u1	@	-inf	(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
0.0ms	u1	@	-inf	(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8)
0.0ms	u1	@	0	(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8)

rewrite199.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1422×	`rational_best-simplify-51`
986×	`rational_best-simplify-57`
934×	`rational_best-simplify-63`
866×	`rational_best-4`
866×	`rational_best-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	19	98
1	130	98
2	260	86
3	681	86
4	2373	54

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs

(+.f64 (/.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))

(-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8)

Outputs

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simplify167.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational_best-simplify-62`
746×	`rational_best-simplify-1`
738×	`rational_best-simplify-57`
708×	`rational_best-simplify-51`
686×	`rational_best-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	5621
1	724	3659
2	1701	3531
3	6895	3495

Stop Event

1×	node limit

Counts

115 → 116

Calls

Call 1

Inputs
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2))
(+.f64 (.f64 1/24 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2))
(+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 1/2 (.f64 1/24 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 1/2 (.f64 1/24 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 1/2 (.f64 1/24 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 1/8 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 1/2 (.f64 1/24 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
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(/.f64 (-.f64 -1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8)) -1)
(/.f64 (.f64 -2 (-.f64 -1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8))) 2)
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8) -1/2) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 4)) 8)
(pow.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 1)
(neg.f64 (-.f64 -1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8)))

Outputs
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(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 -2 (-.f64 -1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 2)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 4)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 4)) 8)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 4))) 8)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 4)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 8)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (-.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (neg.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8) -1/2) 4))) 4)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 4) (neg.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 4)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (-.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 4)) (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3))) 8)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(neg.f64 (-.f64 -1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 0)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(+.f64 0 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2))
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) -1/4) (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) -1/4))
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) -1/2) (neg.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) (+.f64 -1/2 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)) 1/2)
(+.f64 1/2 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) 2) -1/2) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) -1/2) (-.f64 (/.f64 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/4) 8) -1/2) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/4) 8) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 32) -1/2) (-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 32) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 32) -1/2) (-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 32) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) 2) -1/2) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) -1/2) (-.f64 (/.f64 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/4) 8) -1/2) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/4) 8) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 16) -1/2) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 16) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) 2) -1/2) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) 2) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) -1/2) (-.f64 (/.f64 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/4) 8) -1/2) (-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/4) 8) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(+.f64 (-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 32) -1/2) (-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 32) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -16)))
(.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8) -1/2) 1)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(.f64 1 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8) -1/2))
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(.f64 (-.f64 -1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8)) -1)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(.f64 (.f64 -2 (-.f64 -1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8))) 1/2)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(.f64 1/2 (.f64 -2 (-.f64 -1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8))))
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(.f64 1/4 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 4))
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 4) 1/4)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8) -1/2) 4)) 1/8)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(/.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 1)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(/.f64 (-.f64 -1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8)) -1)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(/.f64 (.f64 -2 (-.f64 -1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8))) 2)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(/.f64 (.f64 (-.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/8) -1/2) 4) 4)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(/.f64 (.f64 2 (.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 4)) 8)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(pow.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8) -1/2) 1)
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))
(neg.f64 (-.f64 -1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/8)))
(+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -1/8))

localize89.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2))))
✓	0.4b	(.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2)))
✓	0.4b	(*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2))
✓	29.1b	(log.f64 (pow.f64 (/.f64 1 u1) 2))

Compiler

Compiled 133 to 103 computations (22.6% saved)

series44.0ms (0.4%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
15.0ms	u2	@	inf	(.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2)))
8.0ms	u1	@	0	(log.f64 (pow.f64 (/.f64 1 u1) 2))
6.0ms	u1	@	inf	(log.f64 (pow.f64 (/.f64 1 u1) 2))
6.0ms	u1	@	-inf	(log.f64 (pow.f64 (/.f64 1 u1) 2))
1.0ms	u2	@	0	(.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2)))

rewrite179.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1382×	`rational_best-4`
1382×	`rational_best-2`
1382×	`rational_best-3`
1382×	`rational_best-1`
1380×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	172
1	162	172
2	312	158
3	894	128
4	3624	128

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

Inputs
(log.f64 (pow.f64 (/.f64 1 u1) 2))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2))
(.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2)))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (log.f64 (/.f64 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (log.f64 (/.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 u1)) (log.f64 (/.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 u1)) 2) (+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 2) (log.f64 (/.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (log.f64 (/.f64 1 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 u1)) (neg.f64 (log.f64 (/.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 u1)) (/.f64 (/.f64 (log.f64 (/.f64 1 u1)) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 u1)) (+.f64 (neg.f64 (log.f64 (/.f64 1 u1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 u1)) (+.f64 (/.f64 (/.f64 (log.f64 (/.f64 1 u1)) -1/2) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 2 (log.f64 (/.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (log.f64 (/.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (log.f64 (/.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (/.f64 1 u1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 1 u1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (/.f64 1 u1)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 2 (.f64 (log.f64 (/.f64 1 u1)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (log.f64 (/.f64 1 u1)) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (pow.f64 (/.f64 1 u1) 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (log.f64 (/.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 1 u1)) 4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 u1)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 u1)) 4)) (.f64 2 (.f64 (log.f64 (/.f64 1 u1)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (log.f64 (/.f64 1 u1))) 1)))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 2) (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 2) 2) (+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 2) 2) (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 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simplify226.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1010×	`rational_best-simplify-1`
984×	`rational_best-simplify-75`
886×	`rational_best-simplify-76`
858×	`rational_best-simplify-108`
748×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	6680
1	654	6280
2	1691	5570
3	4492	5560

Stop Event

1×	node limit

Counts

150 → 165

Calls

Call 1

Inputs
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))))
(+.f64 (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))))))
(+.f64 (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) (+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (*.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
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(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 2 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/3) (.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 2 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/3)) 8)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) 1/6))) 4)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 1)

Outputs
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(sqrt.f64 (log.f64 (/.f64 -1 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(sqrt.f64 (log.f64 (/.f64 -1 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 -1 u1))))
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(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 -1 u1))))
(sqrt.f64 (log.f64 (/.f64 -1 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) (cos.f64 (.f64 u2 (*.f64 (PI.f64) 2))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (.f64 (*.f64 2 (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 1/2))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 4)))) 4)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (.f64 (*.f64 2 (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) (+.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 2 (+.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 8)) (+.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (cos.f64 (.f64 u2 (.f64 (PI.f64) -2))))) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 8)) (+.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))))) 4)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))) (.f64 2 (.f64 2 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) 16)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (.f64 (*.f64 2 (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (.f64 2 (.f64 2 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (.f64 2 (.f64 2 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))) 16)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (.f64 (*.f64 2 (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (+.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (cos.f64 (.f64 -2 (.f64 u2 (PI.f64))))) (.f64 2 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 2 (+.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 8)) (+.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (cos.f64 (.f64 u2 (.f64 (PI.f64) -2))))) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 8)) (+.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))))) 4)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))) (.f64 (*.f64 2 (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 0)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6)) 2) (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6)) 2))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6)) 2) 2) (+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6)) 2) 2) (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 2)))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 0)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6)) 2) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6))) 2))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6)) 2) (+.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/6))) 2) 0))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 1)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/3) 2)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 2 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/3) 4)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 2 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/3) (.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 2 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/3)) 8)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) 1/6))) 4)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)) 1)
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) 1/6))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))

localize126.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 u2 (PI.f64))
✓	0.3b	(pow.f64 (/.f64 1 u1) 2)
	0.4b	(*.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2))
	29.1b	(log.f64 (pow.f64 (/.f64 1 u1) 2))

Compiler

Compiled 124 to 95 computations (23.4% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(pow.f64 (/.f64 1 u1) 2)
0.0ms	u1	@	inf	(pow.f64 (/.f64 1 u1) 2)
0.0ms	u1	@	-inf	(pow.f64 (/.f64 1 u1) 2)

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`rational_best-simplify-56`
978×	`rational_best-4`
978×	`rational_best-2`
978×	`rational_best-3`
978×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	46	13
2	86	13
3	205	13
4	658	13
5	2907	13

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 u1) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (/.f64 1 u1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 1 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 2 u1) 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 1 u1) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2) (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)) (neg.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2) (/.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4) (/.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 1 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (pow.f64 (/.f64 1 u1) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 u1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (/.f64 1/2 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 (/.f64 2 u1) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 1/2 (pow.f64 (/.f64 2 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (pow.f64 (/.f64 2 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 16 (pow.f64 (/.f64 1/4 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (/.f64 2 u1) 2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/2 u1) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/4 u1) 2) 16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 2 (pow.f64 (/.f64 2 u1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 4 u1) 2) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 64 (pow.f64 (/.f64 1/8 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/16 (pow.f64 (/.f64 4 u1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/8 u1) 2) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1 u1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (pow.f64 (/.f64 2 u1) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 2 u1) 2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 (/.f64 2 u1) 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (pow.f64 (/.f64 2 u1) 2)) 16)))))

simplify151.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1040×	`rational_best-simplify-86`
788×	`rational_best-simplify-48`
724×	`rational_best-simplify-1`
716×	`rational_best-simplify-47`
698×	`rational_best-simplify-52`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1187
1	170	1179
2	405	1055
3	1160	1055
4	7227	1055

Stop Event

1×	node limit

Counts

53 → 52

Calls

Call 1

Inputs
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(+.f64 (pow.f64 (/.f64 1 u1) 2) 0)
(+.f64 0 (pow.f64 (/.f64 1 u1) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 2 u1) 2) 8))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4))
(+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))
(+.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))
(-.f64 (pow.f64 (/.f64 1 u1) 2) 0)
(-.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2) (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)))
(-.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) -2))
(-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)) (neg.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(-.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2) (/.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2) 2))
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4) (/.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) 4))
(*.f64 1 (pow.f64 (/.f64 1 u1) 2))
(*.f64 2 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8))
(.f64 2 (.f64 (pow.f64 (/.f64 1 u1) 2) 1/2))
(*.f64 (pow.f64 (/.f64 1 u1) 2) 1)
(*.f64 4 (pow.f64 (/.f64 1/2 u1) 2))
(.f64 (.f64 1/2 (pow.f64 (/.f64 2 u1) 2)) 1/2)
(.f64 1/2 (.f64 1/2 (pow.f64 (/.f64 2 u1) 2)))
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(*.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) 2)
(*.f64 -2 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2))
(*.f64 1/4 (pow.f64 (/.f64 2 u1) 2))
(*.f64 16 (pow.f64 (/.f64 1/4 u1) 2))
(.f64 (.f64 2 (pow.f64 (/.f64 2 u1) 2)) 1/8)
(*.f64 (pow.f64 (/.f64 1/2 u1) 2) 4)
(*.f64 (pow.f64 (/.f64 1/4 u1) 2) 16)
(.f64 (.f64 (pow.f64 (/.f64 1 u1) 2) 1/2) 2)
(.f64 1/8 (.f64 2 (pow.f64 (/.f64 2 u1) 2)))
(*.f64 (pow.f64 (/.f64 4 u1) 2) 1/16)
(*.f64 64 (pow.f64 (/.f64 1/8 u1) 2))
(*.f64 1/16 (pow.f64 (/.f64 4 u1) 2))
(*.f64 (pow.f64 (/.f64 1/8 u1) 2) 64)
(/.f64 (pow.f64 (/.f64 1 u1) 2) 1)
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 2 u1) 2)) 2)
(/.f64 (pow.f64 (/.f64 2 u1) 2) 4)
(/.f64 (*.f64 2 (pow.f64 (/.f64 2 u1) 2)) 8)
(/.f64 (*.f64 4 (pow.f64 (/.f64 2 u1) 2)) 16)

Outputs
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(/.f64 1 (pow.f64 u1 2))
(+.f64 (pow.f64 (/.f64 1 u1) 2) 0)
(pow.f64 (/.f64 1 u1) 2)
(+.f64 0 (pow.f64 (/.f64 1 u1) 2))
(pow.f64 (/.f64 1 u1) 2)
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 2 u1) 2) 8))
(/.f64 (pow.f64 (/.f64 2 u1) 2) 4)
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (*.f64 (pow.f64 (/.f64 1 u1) 2) 1/2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 (pow.f64 (/.f64 2 u1) 2) 3/8) 2))
(/.f64 (+.f64 (pow.f64 (/.f64 1 u1) 2) (*.f64 (pow.f64 (/.f64 2 u1) 2) 3/4)) 4)
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4))
(pow.f64 (/.f64 1 u1) 2)
(+.f64 (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (*.f64 (pow.f64 (/.f64 1 u1) 2) 1/2))
(+.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 (pow.f64 (/.f64 2 u1) 2) 3/8) 2))
(/.f64 (+.f64 (pow.f64 (/.f64 1 u1) 2) (*.f64 (pow.f64 (/.f64 2 u1) 2) 3/4)) 4)
(+.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4))
(pow.f64 (/.f64 1 u1) 2)
(-.f64 (pow.f64 (/.f64 1 u1) 2) 0)
(pow.f64 (/.f64 1 u1) 2)
(-.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2) (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)))
(-.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) -2)))
(+.f64 (*.f64 -3 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2)) (neg.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)))
(+.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3/2) (/.f64 (pow.f64 (/.f64 2 u1) 2) -8))
(+.f64 (.f64 (pow.f64 (/.f64 1 u1) 2) 3/2) (.f64 (pow.f64 (/.f64 2 u1) 2) -1/8))
(-.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) -2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (*.f64 (pow.f64 (/.f64 1 u1) 2) 1/2))
(-.f64 (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)) (neg.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (pow.f64 (/.f64 1 u1) 2) 4)))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (/.f64 (pow.f64 (/.f64 1 u1) 2) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) (*.f64 (pow.f64 (/.f64 1 u1) 2) 1/2))
(-.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8)) 2) (/.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2) 2))
(+.f64 (/.f64 (pow.f64 (/.f64 1 u1) 2) 4) (/.f64 (*.f64 (pow.f64 (/.f64 2 u1) 2) 3/8) 2))
(/.f64 (+.f64 (pow.f64 (/.f64 1 u1) 2) (*.f64 (pow.f64 (/.f64 2 u1) 2) 3/4)) 4)
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 1 u1) 2) 3) 4) (/.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) 4))
(pow.f64 (/.f64 1 u1) 2)
(*.f64 1 (pow.f64 (/.f64 1 u1) 2))
(pow.f64 (/.f64 1 u1) 2)
(*.f64 2 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8))
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(.f64 2 (.f64 (pow.f64 (/.f64 1 u1) 2) 1/2))
(pow.f64 (/.f64 1 u1) 2)
(*.f64 (pow.f64 (/.f64 1 u1) 2) 1)
(pow.f64 (/.f64 1 u1) 2)
(*.f64 4 (pow.f64 (/.f64 1/2 u1) 2))
(.f64 (.f64 1/2 (pow.f64 (/.f64 2 u1) 2)) 1/2)
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(.f64 1/2 (.f64 1/2 (pow.f64 (/.f64 2 u1) 2)))
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(*.f64 (/.f64 (pow.f64 (/.f64 2 u1) 2) 8) 2)
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(*.f64 -2 (/.f64 (pow.f64 (/.f64 1 u1) 2) -2))
(pow.f64 (/.f64 1 u1) 2)
(*.f64 1/4 (pow.f64 (/.f64 2 u1) 2))
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(*.f64 16 (pow.f64 (/.f64 1/4 u1) 2))
(.f64 (.f64 2 (pow.f64 (/.f64 2 u1) 2)) 1/8)
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(*.f64 (pow.f64 (/.f64 1/2 u1) 2) 4)
(*.f64 4 (pow.f64 (/.f64 1/2 u1) 2))
(*.f64 (pow.f64 (/.f64 1/4 u1) 2) 16)
(*.f64 16 (pow.f64 (/.f64 1/4 u1) 2))
(.f64 (.f64 (pow.f64 (/.f64 1 u1) 2) 1/2) 2)
(pow.f64 (/.f64 1 u1) 2)
(.f64 1/8 (.f64 2 (pow.f64 (/.f64 2 u1) 2)))
(*.f64 (pow.f64 (/.f64 2 u1) 2) 1/4)
(*.f64 (pow.f64 (/.f64 4 u1) 2) 1/16)
(*.f64 64 (pow.f64 (/.f64 1/8 u1) 2))
(*.f64 1/16 (pow.f64 (/.f64 4 u1) 2))
(*.f64 (pow.f64 (/.f64 4 u1) 2) 1/16)
(*.f64 (pow.f64 (/.f64 1/8 u1) 2) 64)
(*.f64 64 (pow.f64 (/.f64 1/8 u1) 2))
(/.f64 (pow.f64 (/.f64 1 u1) 2) 1)
(pow.f64 (/.f64 1 u1) 2)
(/.f64 (*.f64 1/2 (pow.f64 (/.f64 2 u1) 2)) 2)
(/.f64 (pow.f64 (/.f64 2 u1) 2) 4)
(/.f64 (pow.f64 (/.f64 2 u1) 2) 4)
(/.f64 (*.f64 2 (pow.f64 (/.f64 2 u1) 2)) 8)
(/.f64 (pow.f64 (/.f64 2 u1) 2) 4)
(/.f64 (*.f64 4 (pow.f64 (/.f64 2 u1) 2)) 16)
(/.f64 (pow.f64 (/.f64 2 u1) 2) 4)

eval900.0ms (7.2%)

Compiler: Compiled 23417 to 19099 computations (18.4% saved)

prune392.0ms (3.1%)

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	908	10	918
Fresh	0	1	1
Picked	1	0	1
Done	2	5	7
Total	911	16	927

Error

0.0b

Counts

927 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	1.7b	(-.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 8) (-.f64 -1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/8)))
▶	0.4b	(-.f64 (/.f64 (+.f64 1/4 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)))) 2) (+.f64 (/.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) -4) -3/8))
	1.7b	(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) -1/2) (-.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -1/4) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/16)))
	1.7b	(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (.f64 -4 (log.f64 u1))) 2/3)) 8) 32) 1/2)
▶	0.5b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
✓	0.3b	(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
▶	1.6b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)
	0.8b	(+.f64 (.f64 1/6 (/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 1/2)))) (.f64 2 (.f64 2 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))) 16)) 1/2)
▶	1.9b	(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))) 1/2)
▶	31.3b	(+.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) 1/2)
	0.6b	(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/2)))) 1/2)
✓	1.7b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
✓	1.7b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
	1.7b	(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 637 to 557 computations (12.6% saved)

localize140.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))
✓	0.3b	(*.f64 (PI.f64) (+.f64 u2 u2))
	0.4b	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
✓	0.4b	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))

Compiler

Compiled 236 to 132 computations (44.1% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	-inf	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))
1.0ms	u2	@	inf	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))
1.0ms	u1	@	inf	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))
1.0ms	u2	@	0	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))
1.0ms	u1	@	0	(.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))

rewrite183.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1266×	`rational_best-simplify-63`
960×	`rational_best-2`
960×	`rational_best-3`
960×	`rational_best-1`
958×	`rational_best-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	134	127
2	266	99
3	737	87
4	2624	81

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

(*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))

(*.f64 (PI.f64) (+.f64 u2 u2))

(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (+.f64 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) u2) (/.f64 (/.f64 (*.f64 (PI.f64) u2) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 u2 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 u2 (*.f64 (*.f64 (PI.f64) 2) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 (*.f64 u2 4) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (PI.f64) 4) (*.f64 (+.f64 u2 u2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (*.f64 u2 4) 4)) (*.f64 (PI.f64) (*.f64 (*.f64 u2 4) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2) (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (*.f64 -5 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (log.f64 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(sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4) (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (*.f64 2 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4) (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2)) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (*.f64 -2 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 2 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2)) (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (neg.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2) (*.f64 -2 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -3/2))))))

simplify151.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

932×	`rational_best-simplify-108`
796×	`rational_best-simplify-3`
632×	`rational_best-simplify-80`
602×	`rational_best-simplify-1`
558×	`rational_best-simplify-85`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	262	5195
1	646	5099
2	1514	4127
3	5312	4015

Stop Event

1×	node limit

Counts

131 → 132

Calls

Call 1

Inputs
(.f64 1/6 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))))
(+.f64 (.f64 1/6 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/6 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 1/6 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (+.f64 (.f64 -2/135 (.f64 (pow.f64 u2 6) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 4)))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(+.f64 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 2) (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 2))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 0)
(-.f64 (/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 2) (/.f64 (neg.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4))) 2))
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2)) 2)
(/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 4)) 8)
(/.f64 (.f64 (.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 2/3)) 16)
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 1)
(+.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 0)
(+.f64 0 (*.f64 (PI.f64) (+.f64 u2 u2)))
(+.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))
(-.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 0)
(-.f64 (.f64 (PI.f64) u2) (/.f64 (/.f64 (.f64 (PI.f64) u2) -1/2) 2))
(/.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)
(/.f64 (.f64 (PI.f64) (.f64 u2 4)) 2)
(/.f64 (.f64 u2 (.f64 (*.f64 (PI.f64) 2) 4)) 4)
(/.f64 (.f64 (PI.f64) (.f64 (*.f64 u2 4) 4)) 8)
(/.f64 (.f64 (.f64 (PI.f64) 4) (*.f64 (+.f64 u2 u2) 4)) 16)
(/.f64 (+.f64 (.f64 (PI.f64) (.f64 (.f64 u2 4) 4)) (.f64 (PI.f64) (.f64 (.f64 u2 4) 4))) 16)
(pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)
(-.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -2))
(-.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -1/2))
(-.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2) (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(-.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2) 0)
(-.f64 0 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -3/2))
(-.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2))
(-.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (*.f64 -5 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)))
(-.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (+.f64 (/.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -2) 2) (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(-.f64 (.f64 3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) (.f64 -3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)))
(-.f64 (*.f64 5 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4))
(-.f64 (/.f64 (*.f64 3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 2) (+.f64 (/.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4) 2) (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(-.f64 (/.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3) 8) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 8) (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(-.f64 (neg.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) (*.f64 -5 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)))
(-.f64 (-.f64 (/.f64 (.f64 3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 2) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) (-.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -2) (/.f64 (.f64 3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 2)))
(-.f64 (-.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2) 4) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) (-.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (/.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2) 4)))
(-.f64 (-.f64 (/.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 2) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) (-.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (/.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 2)))
(-.f64 (-.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 8) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) (-.f64 (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 8)))
(-.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2) (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2)) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -3/2))
(-.f64 (-.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -3/2))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(.f64 2 (.f64 3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)))
(.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2) 3)
(.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2) 1)
(.f64 1 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2))
(.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 3/4)
(*.f64 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -2) -3)
(.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 3/8)
(.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3) 1/2)
(.f64 3 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 1/2))
(.f64 (.f64 3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4)) 2)
(.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3))
(.f64 1/4 (.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/8 (.f64 2 (*.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 (.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/4)
(.f64 (.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4) 3/16)
(*.f64 3/2 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 3/4 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2))
(.f64 3/8 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4))
(.f64 3/16 (.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4))
(.f64 (.f64 2 (*.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1/8)
(*.f64 -3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -2))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2) 1)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3) 2)
(/.f64 (*.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 4)
(/.f64 (.f64 2 (.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 8)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4) (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4)) 16)
(/.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (.f64 2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2))) 4)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4) (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2)) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 4)
(/.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) (.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2)) 8)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2)) 8)
(/.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (.f64 -2 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 4)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) 8)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4) (neg.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4))) 16)
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2)) (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 4)
(/.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) 4)
(/.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (neg.f64 (.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4))) 8)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2) (*.f64 -2 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 8)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2) 1)
(neg.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -3/2))

Outputs
(.f64 1/6 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))))
(.f64 1/6 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)))
(.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3/2))
(+.f64 (.f64 1/6 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/6 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))) (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/6 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))) (.f64 -1/3 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 u2 2)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2)) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (.f64 u2 (PI.f64)) 2))))
(+.f64 (.f64 1/6 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 1/6 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (pow.f64 (PI.f64) 4) (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (pow.f64 u2 4))))))
(+.f64 (.f64 -1/3 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 u2 2)))) (+.f64 (.f64 1/9 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4)))) (.f64 1/6 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2)) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (*.f64 u2 (PI.f64)) 4)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (.f64 u2 (PI.f64)) 2))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2)) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3/2) 1/9))))
(+.f64 (.f64 1/6 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (+.f64 (.f64 -2/135 (.f64 (pow.f64 u2 6) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 6)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (pow.f64 (PI.f64) 4)))))))
(+.f64 (.f64 1/6 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (PI.f64) 4) (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (pow.f64 u2 4)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (pow.f64 (PI.f64) 2)))) (.f64 -2/135 (.f64 (pow.f64 u2 6) (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 1/6 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))) (+.f64 (.f64 -1/3 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 u2 2)))) (+.f64 (.f64 1/9 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4)))) (.f64 -2/135 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (pow.f64 (PI.f64) 6) (pow.f64 u2 6)))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2)) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (.f64 u2 (PI.f64)) 2))) (+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (.f64 u2 (PI.f64)) 4))) (.f64 -2/135 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (.f64 u2 (PI.f64)) 6))))))
(+.f64 (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 6) (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) -2/135))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2)) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) 1/9))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
(.f64 1/6 (.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) (.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))) 1/6))
(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))))
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(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(.f64 (.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/4)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(.f64 (.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4) 3/16)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(*.f64 3/2 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(.f64 3/4 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(.f64 3/8 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(.f64 3/16 (.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(.f64 (.f64 2 (*.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 1/8)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(*.f64 -3 (/.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -2))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2) 1)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3) 2)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (*.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 4)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (.f64 2 (.f64 6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 8)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4) (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4)) 16)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) (.f64 2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2))) 4)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4) (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4)) 16)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2)) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 4)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) (.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2)) 8)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2)) 8)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (.f64 -2 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 4)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4) (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) 8)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 4) (neg.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4))) 16)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 5/2)) (neg.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 4)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -4)) 4)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) (neg.f64 (.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 2) 4))) 8)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 4) 5/2) (*.f64 -2 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))) 8)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(pow.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2) 1)
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)
(neg.f64 (*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) -3/2))
(*.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -2))) 3/2)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 u1))
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)
	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
✓	0.2b	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6))

Compiler

Compiled 57 to 51 computations (10.5% saved)

series2.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6))
0.0ms	u1	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6))
0.0ms	u1	@	inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6))
0.0ms	u1	@	-inf	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)
0.0ms	u1	@	inf	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)

rewrite424.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

722×	`rational_best-simplify-63`
612×	`rational_best-simplify-62`
552×	`rational_best-2`
552×	`rational_best-3`
552×	`rational_best-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	16	91
1	106	79
2	191	79
3	483	71
4	1597	67
5	6783	67

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)
(log.f64 (/.f64 1 u1))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (-.f64 -1/2 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (+.f64 (-.f64 -1/4 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4) (-.f64 -1/4 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/4 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8) (+.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4)) (neg.f64 (+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) -1/2) (neg.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (-.f64 -1/4 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (+.f64 1/4 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2) (/.f64 (+.f64 -3/4 (neg.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) 2) 2) (/.f64 (-.f64 -1/4 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) 4) (/.f64 (-.f64 -1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8) (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) (-.f64 -1/4 (+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (-.f64 -1/4 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) (*.f64 2 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)))))

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simplify202.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1164×	`rational_best-simplify-3`
1126×	`rational_best-simplify-56`
980×	`rational_best-simplify-108`
940×	`rational_best-simplify-1`
656×	`rational_best-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	197	2750
1	469	2698
2	1258	2698
3	5174	2626

Stop Event

1×	node limit

Counts

108 → 103

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(*.f64 -1 (log.f64 u1))
(*.f64 -1 (log.f64 u1))
(*.f64 -1 (log.f64 u1))
(*.f64 -1 (log.f64 u1))
(+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))
(+.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 0)
(+.f64 0 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (/.f64 (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2) 2))
(+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4))
(-.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 0)
(-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (neg.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(-.f64 (+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) (neg.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4)))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2) 2) (/.f64 (neg.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 2))
(-.f64 (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4) (/.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 4))
(/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3) 2)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3)) 8)
(/.f64 (.f64 4 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3)) (.f64 2 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3))) 16)
(/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3)) (.f64 4 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3))) 32)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 4) (.f64 2 (*.f64 (sqrt.f64 1/2) 4/3))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4/3)) (.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 4)) 64)
(pow.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1)
(-.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) -1/2)
(-.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 0)
(-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (-.f64 -1/2 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (+.f64 (-.f64 -1/4 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) -1/4))
(-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4) (-.f64 -1/4 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(-.f64 (+.f64 1/4 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) -1/4)
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8) (+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4)) (neg.f64 (+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8)))
(-.f64 (-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) -1/2) (neg.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(-.f64 (-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (-.f64 -1/4 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) -1/4)
(-.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (+.f64 1/4 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2) (/.f64 (+.f64 -3/4 (neg.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) 2) 2) (/.f64 (-.f64 -1/4 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 2))
(-.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) 4) (/.f64 (-.f64 -1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 4))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8) (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) (-.f64 -1/4 (+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8)))
(.f64 1 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)))
(.f64 2 (+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4))
(.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)
(.f64 (+.f64 1 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)) 1/2)
(.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2) 1/4)
(.f64 -2 (-.f64 -1/4 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(.f64 1/4 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2))
(.f64 (.f64 2 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) 1/8)
(/.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)
(/.f64 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)) 2)
(/.f64 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2) 4)
(/.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) 8)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) (.f64 2 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2))) 16)
(pow.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)
(+.f64 (log.f64 (/.f64 1 u1)) 0)
(+.f64 0 (log.f64 (/.f64 1 u1)))
(+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 2) (/.f64 (log.f64 (/.f64 1 u1)) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (/.f64 (log.f64 (/.f64 1 u1)) 2)))
(+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 3) 2) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 3) 4))
(-.f64 (log.f64 (/.f64 1 u1)) 0)
(-.f64 (/.f64 (log.f64 (/.f64 1 u1)) 2) (/.f64 (log.f64 (/.f64 1 u1)) -2))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (/.f64 (log.f64 (/.f64 1 u1)) 2)) (neg.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4)))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 3) 2) 2) (/.f64 (/.f64 (log.f64 (/.f64 1 u1)) -2) 2))
(-.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 3) 4) (/.f64 (neg.f64 (log.f64 (/.f64 1 u1))) 4))
(*.f64 1 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 (/.f64 1 u1)) 1)
(.f64 1/2 (.f64 (log.f64 (/.f64 1 u1)) 2))
(*.f64 2 (/.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (.f64 (log.f64 (/.f64 1 u1)) 2) 1/2)
(.f64 (.f64 (log.f64 (/.f64 1 u1)) 4) 1/4)
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 u1)) -2))
(.f64 1/4 (.f64 (log.f64 (/.f64 1 u1)) 4))
(.f64 (.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2) 4) 1/8)
(/.f64 (log.f64 (/.f64 1 u1)) 1)
(/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2) 2)
(/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 4) 4)
(/.f64 (.f64 (.f64 (log.f64 (/.f64 1 u1)) 2) 4) 8)
(/.f64 (+.f64 (.f64 (.f64 (log.f64 (/.f64 1 u1)) 2) 4) (.f64 (.f64 (log.f64 (/.f64 1 u1)) 2) 4)) 16)
(pow.f64 (log.f64 (/.f64 1 u1)) 1)

Outputs
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (sqrt.f64 (.f64 -1/2 (log.f64 u1))))
(.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -1/2)))
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (sqrt.f64 (.f64 -1/2 (log.f64 u1))))
(.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -1/2)))
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (sqrt.f64 (.f64 -1/2 (log.f64 u1))))
(.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -1/2)))
(.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (log.f64 u1))))
(.f64 1/3 (sqrt.f64 (.f64 -1/2 (log.f64 u1))))
(.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -1/2)))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 -1/2 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -1/2))))
(+.f64 1/2 (.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 -1/2 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -1/2))))
(+.f64 1/2 (.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 -1/2 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -1/2))))
(+.f64 1/2 (.f64 1/3 (.f64 (*.f64 (sqrt.f64 1/2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 -1/2) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 -1/2 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -1/2))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (.f64 (sqrt.f64 1/2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/3 (sqrt.f64 (.f64 1/2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(*.f64 -1 (log.f64 u1))
(neg.f64 (log.f64 u1))
(*.f64 -1 (log.f64 u1))
(neg.f64 (log.f64 u1))
(*.f64 -1 (log.f64 u1))
(neg.f64 (log.f64 u1))
(*.f64 -1 (log.f64 u1))
(neg.f64 (log.f64 u1))
(+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))
(+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))
(+.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 0)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(+.f64 0 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (/.f64 (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2) 2))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(-.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 0)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (neg.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(-.f64 (+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) (neg.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4)))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(-.f64 (/.f64 (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2) 2) (/.f64 (neg.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 2))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(-.f64 (/.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4) (/.f64 (neg.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 4))
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3) 2)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) 4)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3)) 8)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (.f64 4 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3)) 16)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3)) (.f64 2 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3))) 16)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3)) (.f64 4 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3))) 32)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 4) (.f64 2 (*.f64 (sqrt.f64 1/2) 4/3))) 64)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4/3)) (.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 4)) 64)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(pow.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1)
(*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))
(-.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) -1/2)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 0)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (-.f64 -1/2 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (+.f64 (-.f64 -1/4 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) -1/4))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (/.f64 (+.f64 -1/2 (-.f64 -1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4) (-.f64 -1/4 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (+.f64 1/4 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) -1/4)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8) (+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4)) (neg.f64 (+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8)))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) -1/2) (neg.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (-.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (-.f64 -1/4 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) -1/4)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) (+.f64 1/4 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2) (/.f64 (+.f64 -3/4 (neg.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 2))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) 2) 2) (/.f64 (-.f64 -1/4 (*.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 2))
(-.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) 4) (/.f64 (-.f64 -1/4 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 1/6)) 2))
(/.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) (-.f64 -1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 4)
(/.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) (+.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) -1/3) -1/2)) 4)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 4) 4)
(-.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) 4) (/.f64 (-.f64 -1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 4))
(-.f64 (/.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) 4) (/.f64 (-.f64 -1/4 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 1/6)) 2))
(/.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) (-.f64 -1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))) 4)
(/.f64 (-.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 3) (+.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) -1/3) -1/2)) 4)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 4) 4)
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8) (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) (-.f64 -1/4 (+.f64 (/.f64 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 4) 1/8)))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(.f64 1 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(.f64 2 (+.f64 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))) 1/4))
(.f64 2 (+.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 1/6) 1/4))
(.f64 (+.f64 1/2 (.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(.f64 (+.f64 1 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)) 1/2)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(.f64 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2) 1/4)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(.f64 -2 (-.f64 -1/4 (.f64 1/6 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))))
(.f64 (-.f64 -1/4 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 1/6)) -2)
(.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) -1/6) -1/4) -2)
(.f64 1/4 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2))
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(.f64 (.f64 2 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) 1/8)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(/.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(/.f64 (+.f64 1 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 2/3)) 2)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(/.f64 (-.f64 (*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2) 4)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(/.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) 8)
(/.f64 (+.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) (.f64 2 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2))) 16)
(/.f64 (.f64 2 (-.f64 (.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))) 4/3) -2)) 8)
(pow.f64 (+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1)))))) 1)
(+.f64 1/2 (*.f64 1/3 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 1 u1))))))
(+.f64 (log.f64 (/.f64 1 u1)) 0)
(log.f64 (/.f64 1 u1))
(+.f64 0 (log.f64 (/.f64 1 u1)))
(log.f64 (/.f64 1 u1))
(+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 2) (/.f64 (log.f64 (/.f64 1 u1)) 2))
(log.f64 (/.f64 1 u1))
(+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (/.f64 (log.f64 (/.f64 1 u1)) 2)))
(log.f64 (/.f64 1 u1))
(+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 3) 2) 2))
(log.f64 (/.f64 1 u1))
(+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 3) 4))
(log.f64 (/.f64 1 u1))
(-.f64 (log.f64 (/.f64 1 u1)) 0)
(log.f64 (/.f64 1 u1))
(-.f64 (/.f64 (log.f64 (/.f64 1 u1)) 2) (/.f64 (log.f64 (/.f64 1 u1)) -2))
(log.f64 (/.f64 1 u1))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4) (/.f64 (log.f64 (/.f64 1 u1)) 2)) (neg.f64 (/.f64 (log.f64 (/.f64 1 u1)) 4)))
(log.f64 (/.f64 1 u1))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 3) 2) 2) (/.f64 (/.f64 (log.f64 (/.f64 1 u1)) -2) 2))
(log.f64 (/.f64 1 u1))
(-.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 3) 4) (/.f64 (neg.f64 (log.f64 (/.f64 1 u1))) 4))
(log.f64 (/.f64 1 u1))
(*.f64 1 (log.f64 (/.f64 1 u1)))
(log.f64 (/.f64 1 u1))
(*.f64 (log.f64 (/.f64 1 u1)) 1)
(log.f64 (/.f64 1 u1))
(.f64 1/2 (.f64 (log.f64 (/.f64 1 u1)) 2))
(log.f64 (/.f64 1 u1))
(*.f64 2 (/.f64 (log.f64 (/.f64 1 u1)) 2))
(log.f64 (/.f64 1 u1))
(.f64 (.f64 (log.f64 (/.f64 1 u1)) 2) 1/2)
(log.f64 (/.f64 1 u1))
(.f64 (.f64 (log.f64 (/.f64 1 u1)) 4) 1/4)
(log.f64 (/.f64 1 u1))
(*.f64 -2 (/.f64 (log.f64 (/.f64 1 u1)) -2))
(log.f64 (/.f64 1 u1))
(.f64 1/4 (.f64 (log.f64 (/.f64 1 u1)) 4))
(log.f64 (/.f64 1 u1))
(.f64 (.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2) 4) 1/8)
(log.f64 (/.f64 1 u1))
(/.f64 (log.f64 (/.f64 1 u1)) 1)
(log.f64 (/.f64 1 u1))
(/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2) 2)
(log.f64 (/.f64 1 u1))
(/.f64 (*.f64 (log.f64 (/.f64 1 u1)) 4) 4)
(log.f64 (/.f64 1 u1))
(/.f64 (.f64 (.f64 (log.f64 (/.f64 1 u1)) 2) 4) 8)
(log.f64 (/.f64 1 u1))
(/.f64 (+.f64 (.f64 (.f64 (log.f64 (/.f64 1 u1)) 2) 4) (.f64 (.f64 (log.f64 (/.f64 1 u1)) 2) 4)) 16)
(log.f64 (/.f64 1 u1))
(pow.f64 (log.f64 (/.f64 1 u1)) 1)
(log.f64 (/.f64 1 u1))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -2))
✓	0.4b	(.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2)))
✓	0.4b	(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2))

Compiler

Compiled 69 to 55 computations (20.3% saved)

series7.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	0	(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2))
1.0ms	u1	@	0	(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))
0.0ms	u1	@	inf	(.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2)))
0.0ms	u1	@	-inf	(.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2)))
0.0ms	u1	@	inf	(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))

rewrite141.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2146×	`rational_best-2`
2146×	`rational_best-1`
1078×	`rational_best-simplify-63`
914×	`rational_best-simplify-1`
676×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	89
1	109	81
2	209	51
3	538	51
4	1761	51
5	6791	51

Stop Event

1×	node limit

Counts

3 → 104

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 2))

(*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))

(*.f64 1/6 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 2) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 16) (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 16) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 16) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 16) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 2) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 16) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 2)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2) 2) (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 4) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -8)) 2/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -8)) 2/3) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -8)) 2/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 1/2) 4) (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (*.f64 (sqrt.f64 1/2) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 4)) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 4) (*.f64 (sqrt.f64 1/2) 1/6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (*.f64 2 (*.f64 (sqrt.f64 1/2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (sqrt.f64 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 2) 4) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)) (*.f64 (sqrt.f64 1/2) 1/6)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (sqrt.f64 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (*.f64 2 (sqrt.f64 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1)))))

simplify132.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1332×	`rational_best-simplify-75`
1054×	`rational_best-simplify-1`
1016×	`rational_best-simplify-66`
966×	`rational_best-simplify-63`
748×	`rational_best-simplify-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	282	4822
1	700	3518
2	2083	3304
3	5674	3292

Stop Event

1×	node limit

Counts

140 → 159

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
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(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (.f64 2 (*.f64 (sqrt.f64 1/2) 4))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -8)) 4)) 64)
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(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 4) (.f64 2 (sqrt.f64 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (log.f64 u1)))) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 -2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 -2))) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 2) 4))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) 4)) (.f64 2 (*.f64 2 (sqrt.f64 -2)))) 16)
(/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (sqrt.f64 -2))) (.f64 2 (.f64 2 (sqrt.f64 (log.f64 u1))))) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 4)) 16)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) (.f64 2 (.f64 (sqrt.f64 2) 4))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 -2))) (sqrt.f64 (.f64 (log.f64 u1) 2))) 4)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 4)) (sqrt.f64 2)) 16)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -4))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(+.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
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(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 2) 2))
(+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 4))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(-.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) -2))
(-.f64 (+.f64 (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)) (-.f64 0 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 2) 2) (/.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3) 4) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -8)) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 4) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4)) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) (*.f64 (sqrt.f64 2) 4)) 16)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 4)) 16)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4)) (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4))) 32)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) (.f64 (sqrt.f64 2) 4)) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) (.f64 (sqrt.f64 2) 4))) 32)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) 4)) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) 4)) 64)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4) (.f64 2 (*.f64 (sqrt.f64 1/2) 4))) 64)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)) 64)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (log.f64 u1)))) (.f64 2 (*.f64 2 (sqrt.f64 -2)))) 16)
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(/.f64 (.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) 4)) (.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 2 (sqrt.f64 -2)))) 16)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4) (.f64 2 (sqrt.f64 1/2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 2) 4) (sqrt.f64 (neg.f64 (log.f64 u1)))) 4)
(/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 2 (sqrt.f64 -2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 2) 4))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) (.f64 2 (.f64 (sqrt.f64 1/2) 4))) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 1/2)) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)) 16)
(/.f64 (.f64 (.f64 2 (*.f64 2 (sqrt.f64 (log.f64 u1)))) (sqrt.f64 -2)) 4)
(/.f64 (.f64 (.f64 2 (*.f64 2 (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))) 4)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)) (sqrt.f64 1/2)) 16)
(/.f64 (.f64 (.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4) (sqrt.f64 2)) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4) (.f64 2 (sqrt.f64 2))) 16)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4) (.f64 (sqrt.f64 2) 4)) 64)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4) (.f64 2 (*.f64 (sqrt.f64 2) 4))) 64)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 16) (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 16) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 16) (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 2) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 16) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 4))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 16) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 2)) (-.f64 0 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 16)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 2) 2) (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) 4) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) 4))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 2/3) 8)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 2/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 2/3)) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (.f64 (sqrt.f64 1/2) 4)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4) (.f64 (sqrt.f64 1/2) 1/6)) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (.f64 2 (.f64 (sqrt.f64 1/2) 4))) 16)
(/.f64 (.f64 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (sqrt.f64 1/2)) 4)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (.f64 (sqrt.f64 1/2) 1/6)) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (sqrt.f64 2)) 4)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (.f64 2 (sqrt.f64 2))) 16)
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)

Outputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -4))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -4))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -4))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -4))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 2 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 2 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 2 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 2 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -4) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -4 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
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(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 2/3) 8)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 2/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 2/3)) 16)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -8)) 2/3) 8)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3))) 16)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (.f64 (sqrt.f64 1/2) 4)) 16)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 4)) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) 16)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4) (.f64 (sqrt.f64 1/2) 1/6)) 4)
(/.f64 (.f64 1/6 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 4))) 4)
(/.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (.f64 (sqrt.f64 1/2) 4))) 4)
(/.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 8))) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (.f64 2 (.f64 (sqrt.f64 1/2) 4))) 16)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (sqrt.f64 1/2)) 4)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (.f64 (sqrt.f64 1/2) 1/6)) 16)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 4 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 1/2) 1/6)) 16)
(/.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) 8))) 16)
(/.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (.f64 (sqrt.f64 2) 8))) 16)
(/.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -4)) (.f64 4 (sqrt.f64 8)))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (sqrt.f64 2)) 4)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3)) (.f64 2 (sqrt.f64 2))) 16)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

localize72.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (pow.f64 u1 2))
✓	0.4b	(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))))
✓	1.0b	(*.f64 (sqrt.f64 2) (sqrt.f64 1/2))
✓	29.1b	(log.f64 (/.f64 1 (pow.f64 u1 2)))

Compiler

Compiled 82 to 74 computations (9.8% saved)

series8.0ms (0.1%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	0	(log.f64 (/.f64 1 (pow.f64 u1 2)))
1.0ms	u1	@	0	(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))))
1.0ms	u1	@	inf	(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))))
0.0ms	u1	@	-inf	(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))))
0.0ms	u1	@	inf	(log.f64 (/.f64 1 (pow.f64 u1 2)))

rewrite107.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1714×	`rational_best-4`
1714×	`rational_best-2`
1714×	`rational_best-3`
1714×	`rational_best-1`
1714×	`exponential-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	117	58
2	179	58
3	389	58
4	1160	58
5	4811	58

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

Inputs
(log.f64 (/.f64 1 (pow.f64 u1 2)))
(*.f64 (sqrt.f64 2) (sqrt.f64 1/2))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))))
(/.f64 1 (pow.f64 u1 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1 (pow.f64 u1 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2) (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (+.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (/.f64 (/.f64 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 3) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (/.f64 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2) (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2)) (-.f64 0 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 3) 2) 2) (/.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 3) 4) (/.f64 (neg.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (/.f64 1 (pow.f64 u1 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (log.f64 (/.f64 1 (pow.f64 u1 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4)) (.f64 2 (*.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2)) (-.f64 0 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 2) 2) (/.f64 (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 4) (/.f64 (neg.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3)) (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (pow.f64 u1 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (pow.f64 u1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (pow.f64 u1 2)) (+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 (/.f64 3/2 (pow.f64 u1 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 (/.f64 3 (pow.f64 u1 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (pow.f64 u1 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/2 (pow.f64 u1 2)) (neg.f64 (/.f64 1/2 (pow.f64 u1 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2))) (-.f64 0 (/.f64 1/4 (pow.f64 u1 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3/2 (pow.f64 u1 2)) 2) (/.f64 (neg.f64 (/.f64 1/2 (pow.f64 u1 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (/.f64 3 (pow.f64 u1 2)) 4) (/.f64 (/.f64 -1 (pow.f64 u1 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (pow.f64 u1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/2 (pow.f64 u1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 1 (pow.f64 u1 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 u1 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 2 (pow.f64 u1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 1/4 (pow.f64 u1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (/.f64 1/2 (pow.f64 u1 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (pow.f64 u1 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/4 (pow.f64 u1 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (/.f64 (/.f64 1/4 (pow.f64 u1 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 8 (.f64 (/.f64 1/4 (pow.f64 u1 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 4 (pow.f64 u1 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (pow.f64 u1 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (/.f64 4 (pow.f64 u1 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/4 (pow.f64 u1 2)) 2) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16 (/.f64 1 (.f64 (.f64 (pow.f64 u1 2) 4) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 16 (/.f64 1/2 (.f64 2 (.f64 (pow.f64 u1 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 8 (pow.f64 u1 2)) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (pow.f64 u1 2)) 1)))))

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1506×	`rational_best-simplify-75`
1442×	`rational_best-simplify-76`
998×	`rational_best-simplify-1`
830×	`rational_best-simplify-56`
610×	`rational_best-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	1891
1	419	1851
2	1054	1755
3	4365	1755

Stop Event

1×	node limit

Counts

97 → 93

Calls

Call 1

Inputs
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 1/6 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 1/6 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(.f64 1/6 (.f64 (*.f64 (pow.f64 (sqrt.f64 2) 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 -1 u1)))))
(+.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 0)
(+.f64 0 (log.f64 (/.f64 1 (pow.f64 u1 2))))
(+.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2) (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (+.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2)))
(+.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 3) 2) 2))
(+.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (/.f64 (*.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 3) 4))
(-.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 0)
(-.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2) (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) -2))
(-.f64 (+.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 2)) (-.f64 0 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4)))
(-.f64 (/.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 3) 2) 2) (/.f64 (/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) -2) 2))
(-.f64 (/.f64 (*.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 3) 4) (/.f64 (neg.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 4))
(*.f64 1 (log.f64 (/.f64 1 (pow.f64 u1 2))))
(.f64 2 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1/2))
(*.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1)
(.f64 1/2 (.f64 2 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(.f64 (.f64 2 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2)
(.f64 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) 1/4)
(.f64 1/4 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4))
(.f64 (.f64 2 (*.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4)) 1/8)
(/.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1)
(/.f64 (*.f64 2 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2)
(/.f64 (*.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4) 4)
(/.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4)) (.f64 2 (.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 4))) 16)
(pow.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1)
1
(+.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 0)
(+.f64 0 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))))
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2)))
(+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 2) 2))
(+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 4))
(-.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 0)
(-.f64 (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) -2))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16)))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 2) 2) (/.f64 (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) -2) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 4) (/.f64 (neg.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) 4))
(/.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 1)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/3) 2)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3)) (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3))) 16)
(pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 1)
(+.f64 (/.f64 1 (pow.f64 u1 2)) 0)
(+.f64 0 (/.f64 1 (pow.f64 u1 2)))
(+.f64 (/.f64 1/4 (pow.f64 u1 2)) (+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2))))
(+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 (/.f64 3/2 (pow.f64 u1 2)) 2))
(+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 (/.f64 3 (pow.f64 u1 2)) 4))
(+.f64 (/.f64 1/2 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2)))
(-.f64 (/.f64 1 (pow.f64 u1 2)) 0)
(-.f64 (/.f64 1/2 (pow.f64 u1 2)) (neg.f64 (/.f64 1/2 (pow.f64 u1 2))))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2))) (-.f64 0 (/.f64 1/4 (pow.f64 u1 2))))
(-.f64 (/.f64 (/.f64 3/2 (pow.f64 u1 2)) 2) (/.f64 (neg.f64 (/.f64 1/2 (pow.f64 u1 2))) 2))
(-.f64 (/.f64 (/.f64 3 (pow.f64 u1 2)) 4) (/.f64 (/.f64 -1 (pow.f64 u1 2)) 4))
(*.f64 1 (/.f64 1 (pow.f64 u1 2)))
(*.f64 2 (/.f64 1/2 (pow.f64 u1 2)))
(.f64 2 (.f64 (/.f64 1 (pow.f64 u1 2)) 1/2))
(*.f64 (/.f64 1 (pow.f64 u1 2)) 1)
(*.f64 1/2 (/.f64 2 (pow.f64 u1 2)))
(*.f64 4 (/.f64 1/4 (pow.f64 u1 2)))
(.f64 4 (.f64 (/.f64 1/2 (pow.f64 u1 2)) 1/2))
(*.f64 (/.f64 2 (pow.f64 u1 2)) 1/2)
(*.f64 (/.f64 1/4 (pow.f64 u1 2)) 4)
(*.f64 8 (/.f64 (/.f64 1/4 (pow.f64 u1 2)) 2))
(.f64 8 (.f64 (/.f64 1/4 (pow.f64 u1 2)) 1/2))
(*.f64 (/.f64 4 (pow.f64 u1 2)) 1/4)
(*.f64 (/.f64 1/2 (pow.f64 u1 2)) 2)
(*.f64 1/4 (/.f64 4 (pow.f64 u1 2)))
(*.f64 (/.f64 (/.f64 1/4 (pow.f64 u1 2)) 2) 8)
(.f64 16 (/.f64 1 (.f64 (*.f64 (pow.f64 u1 2) 4) 4)))
(.f64 16 (/.f64 1/2 (.f64 2 (*.f64 (pow.f64 u1 2) 4))))
(*.f64 (/.f64 8 (pow.f64 u1 2)) 1/8)
(pow.f64 (/.f64 1 (pow.f64 u1 2)) 1)

Outputs
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 -2 (log.f64 u1))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(*.f64 2 (log.f64 (/.f64 -1 u1)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
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(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
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(.f64 1/2 (.f64 2 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
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(pow.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))) 1)
(log.f64 (/.f64 1 (pow.f64 u1 2)))
1
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(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
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(+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 4))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(-.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 0)
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(-.f64 (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) -2))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(-.f64 (+.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16) (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 2)) (-.f64 0 (/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 16)))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(-.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 2) 2) (/.f64 (/.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) -2) 2))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/2) 4) (/.f64 (neg.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) 4))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(/.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 1)
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 1/3) 2)
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3) 4)
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3)) 8)
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3)) (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))) 2/3))) 16)
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(pow.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2))))) 1)
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))
(+.f64 (/.f64 1 (pow.f64 u1 2)) 0)
(/.f64 1 (pow.f64 u1 2))
(+.f64 0 (/.f64 1 (pow.f64 u1 2)))
(/.f64 1 (pow.f64 u1 2))
(+.f64 (/.f64 1/4 (pow.f64 u1 2)) (+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2))))
(/.f64 1 (pow.f64 u1 2))
(+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 (/.f64 3/2 (pow.f64 u1 2)) 2))
(/.f64 1 (pow.f64 u1 2))
(+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 (/.f64 3 (pow.f64 u1 2)) 4))
(/.f64 1 (pow.f64 u1 2))
(+.f64 (/.f64 1/2 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2)))
(/.f64 1 (pow.f64 u1 2))
(-.f64 (/.f64 1 (pow.f64 u1 2)) 0)
(/.f64 1 (pow.f64 u1 2))
(-.f64 (/.f64 1/2 (pow.f64 u1 2)) (neg.f64 (/.f64 1/2 (pow.f64 u1 2))))
(/.f64 1 (pow.f64 u1 2))
(-.f64 (+.f64 (/.f64 1/4 (pow.f64 u1 2)) (/.f64 1/2 (pow.f64 u1 2))) (-.f64 0 (/.f64 1/4 (pow.f64 u1 2))))
(/.f64 1 (pow.f64 u1 2))
(-.f64 (/.f64 (/.f64 3/2 (pow.f64 u1 2)) 2) (/.f64 (neg.f64 (/.f64 1/2 (pow.f64 u1 2))) 2))
(/.f64 1 (pow.f64 u1 2))
(-.f64 (/.f64 (/.f64 3 (pow.f64 u1 2)) 4) (/.f64 (/.f64 -1 (pow.f64 u1 2)) 4))
(/.f64 1 (pow.f64 u1 2))
(*.f64 1 (/.f64 1 (pow.f64 u1 2)))
(/.f64 1 (pow.f64 u1 2))
(*.f64 2 (/.f64 1/2 (pow.f64 u1 2)))
(/.f64 1 (pow.f64 u1 2))
(.f64 2 (.f64 (/.f64 1 (pow.f64 u1 2)) 1/2))
(/.f64 1 (pow.f64 u1 2))
(*.f64 (/.f64 1 (pow.f64 u1 2)) 1)
(/.f64 1 (pow.f64 u1 2))
(*.f64 1/2 (/.f64 2 (pow.f64 u1 2)))
(/.f64 1 (pow.f64 u1 2))
(*.f64 4 (/.f64 1/4 (pow.f64 u1 2)))
(/.f64 1 (pow.f64 u1 2))
(.f64 4 (.f64 (/.f64 1/2 (pow.f64 u1 2)) 1/2))
(/.f64 1 (pow.f64 u1 2))
(*.f64 (/.f64 2 (pow.f64 u1 2)) 1/2)
(/.f64 1 (pow.f64 u1 2))
(*.f64 (/.f64 1/4 (pow.f64 u1 2)) 4)
(/.f64 1 (pow.f64 u1 2))
(*.f64 8 (/.f64 (/.f64 1/4 (pow.f64 u1 2)) 2))
(/.f64 1 (pow.f64 u1 2))
(.f64 8 (.f64 (/.f64 1/4 (pow.f64 u1 2)) 1/2))
(/.f64 1 (pow.f64 u1 2))
(*.f64 (/.f64 4 (pow.f64 u1 2)) 1/4)
(/.f64 1 (pow.f64 u1 2))
(*.f64 (/.f64 1/2 (pow.f64 u1 2)) 2)
(/.f64 1 (pow.f64 u1 2))
(*.f64 1/4 (/.f64 4 (pow.f64 u1 2)))
(/.f64 1 (pow.f64 u1 2))
(*.f64 (/.f64 (/.f64 1/4 (pow.f64 u1 2)) 2) 8)
(/.f64 1 (pow.f64 u1 2))
(.f64 16 (/.f64 1 (.f64 (*.f64 (pow.f64 u1 2) 4) 4)))
(/.f64 1 (pow.f64 u1 2))
(.f64 16 (/.f64 1/2 (.f64 2 (*.f64 (pow.f64 u1 2) 4))))
(/.f64 1 (pow.f64 u1 2))
(*.f64 (/.f64 8 (pow.f64 u1 2)) 1/8)
(/.f64 1 (pow.f64 u1 2))
(pow.f64 (/.f64 1 (pow.f64 u1 2)) 1)
(/.f64 1 (pow.f64 u1 2))

localize73.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -2))
✓	0.2b	(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
	0.3b	(*.f64 u2 (PI.f64))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2))

Compiler

Compiled 108 to 75 computations (30.6% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u2	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u2	@	-inf	(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u1	@	0	(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
1.0ms	u1	@	inf	(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))

rewrite208.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1510×	`rational_best-2`
1510×	`rational_best-3`
1510×	`rational_best-1`
1508×	`rational_best-4`
1508×	`exponential-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	82
1	158	82
2	313	66
3	893	58
4	3738	58

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2))
(.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2) (+.f64 (/.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2) (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 2)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)) (*.f64 2 (*.f64 (sqrt.f64 1/2) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (neg.f64 (log.f64 u1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2) 2) (+.f64 (/.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2) 2) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2) (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2) (+.f64 (/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) 2) 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3))) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 2 (sqrt.f64 2))) (*.f64 1/3 (sqrt.f64 1/2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 1/2) 2)) (*.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (sqrt.f64 2) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3))) (*.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 2 (sqrt.f64 2)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3))) (*.f64 2 (*.f64 (sqrt.f64 1/2) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 2 (sqrt.f64 2))) (*.f64 1/3 (sqrt.f64 1/2))) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) (*.f64 2 (sqrt.f64 2)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))))

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational_best-simplify-63`
1196×	`rational_best-simplify-48`
966×	`rational_best-simplify-52`
880×	`rational_best-simplify-1`
756×	`rational_best-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	3696
1	422	3174
2	1166	2894
3	3005	2878

Stop Event

1×	node limit

Counts

70 → 90

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))))) (sqrt.f64 (log.f64 u1)))) (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (sqrt.f64 -2))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))))) (sqrt.f64 (log.f64 u1)))) (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))))) (sqrt.f64 (log.f64 u1)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(+.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(+.f64 0 (sqrt.f64 (neg.f64 (log.f64 u1))))
(+.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(+.f64 (/.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2) (+.f64 (/.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2) (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)))
(-.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2))
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2) 0))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 2)) (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)) (.f64 2 (.f64 (sqrt.f64 1/2) 2))) 16)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) 2) (+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) 2) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 2)))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 0)
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) 2))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) (+.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) 2) 0))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3)) 2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))) 4)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))) (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))) 8)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) (.f64 2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)) (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 2))) (.f64 1/3 (sqrt.f64 1/2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 2)) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))) (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))) 16)
(/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))) (.f64 2 (.f64 (sqrt.f64 1/2) 2))) 16)
(/.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 2))) (.f64 1/3 (sqrt.f64 1/2))) (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 2)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 4)
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1)

Outputs
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/2) (sqrt.f64 2)))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/2) (sqrt.f64 2)))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/2) (sqrt.f64 2)))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (*.f64 (sqrt.f64 -1) (sqrt.f64 -2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/2) (sqrt.f64 2)))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -1 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -1 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -1 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 1/2) (sqrt.f64 -2)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -1 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
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(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) (sqrt.f64 (log.f64 u1))))
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(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (sqrt.f64 2))) 1/6))
(.f64 1/6 (.f64 1 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 (sqrt.f64 1/2) (sqrt.f64 2))) 1/6))
(.f64 1/6 (.f64 1 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
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(-.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (+.f64 (/.f64 (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2) 0))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) 4)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))) 8)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 2)) (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) 2)))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 16)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 4 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 16)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 8)) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)) (.f64 2 (.f64 (sqrt.f64 1/2) 2))) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 1/2) 2)))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 16)
(/.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 4 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 16)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 8)) 16)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 0)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(+.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) 2) (+.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) 2) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 0)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) 2))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(-.f64 (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 2) (+.f64 (/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))) 2) 0))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3)) 2)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))) 4)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))) (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))) 8)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2)) (.f64 2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))) 16)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)) (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 2))) (.f64 1/3 (sqrt.f64 1/2)))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) 1/3))) 16)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 2/3) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2/3)) (.f64 (sqrt.f64 1/2) (.f64 4 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 4/3))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 1/2) 2)) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 (sqrt.f64 1/2) 2)))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 (sqrt.f64 2) (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2/3))) 16)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 2 (sqrt.f64 (.f64 2 (.f64 -2 (log.f64 u1))))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2/3))) 16)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 4/3))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))) (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))) 16)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3))) (.f64 2 (.f64 (sqrt.f64 1/2) 2))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)) (.f64 (.f64 2 (sqrt.f64 2)) (.f64 2 (.f64 (sqrt.f64 1/2) 2)))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 1/2) 4) (.f64 (sqrt.f64 2) (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2/3))) 16)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 2 (sqrt.f64 (.f64 2 (.f64 -2 (log.f64 u1))))) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2/3))) 16)
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 4/3))) 16)
(/.f64 (.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 2))) (.f64 1/3 (sqrt.f64 1/2))) (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))) 16)
(/.f64 (.f64 (.f64 2 (.f64 2 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 2))) (.f64 (sqrt.f64 1/2) 1/3))) 16)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 2/3) (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4))) 16)
(/.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 2/3)) (.f64 (sqrt.f64 1/2) (.f64 4 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 16)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 1/2) (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 4/3))) 16)
(/.f64 (.f64 (.f64 2 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 2)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 4)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1)
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))

eval1.1s (8.7%)

Compiler: Compiled 22798 to 17707 computations (22.3% saved)

prune219.0ms (1.8%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	807	5	812
Fresh	5	1	6
Picked	1	0	1
Done	3	6	9
Total	816	12	828

Error

0.0b

Counts

828 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	1.8b	(-.f64 (/.f64 (+.f64 1/4 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2))) 2) (+.f64 (/.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) -4) -3/8))
	1.8b	(+.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (.f64 (sqrt.f64 1/2) 1/6)) 16) 1/2)
	1.7b	(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (sqrt.f64 2)) 4) 1/2)
✓	0.3b	(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
	1.6b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
✓	1.9b	(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))) 1/2)
	2.2b	(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)
	0.6b	(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/2)))) 1/2)
✓	1.7b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
✓	1.7b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 225 to 205 computations (8.9% saved)

regimes206.0ms (1.7%)

Counts

30 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (sqrt.f64 2)) 4) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (.f64 -4 (log.f64 u1))) 2/3)) 8) 32) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (.f64 (sqrt.f64 1/2) 1/6)) 16) 1/2)
(+.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/2)))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/16) -1/2) (-.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) -1/4) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/16)))
(-.f64 (/.f64 (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 8) (-.f64 -1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/8)))
(-.f64 (/.f64 (+.f64 1/4 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 3/2))) 2) (+.f64 (/.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) -4) -3/8))
(+.f64 (.f64 1/6 (/.f64 (.f64 (.f64 (.f64 2 (sqrt.f64 2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 2 (sqrt.f64 1/2)))) (.f64 2 (.f64 2 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))) 16)) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2)))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 2))) (sqrt.f64 1/2)) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
(/.f64 (-.f64 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (-.f64 -1/2 (.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3))) 3/2))) 4)
(-.f64 (/.f64 (+.f64 1/4 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (+.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)))) 2) (+.f64 (/.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) -4) -3/8))

Outputs
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)

Calls

10 calls:

23.0ms	(*.f64 -2 (log.f64 u1))
20.0ms	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
16.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
15.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
15.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)

Results

Error	Segments	Branch
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)`
0.3b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.3b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.3b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.3b	1	`(*.f64 -2 (log.f64 u1))`
0.3b	1	`(log.f64 u1)`
0.3b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.3b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 712 to 573 computations (19.5% saved)

regimes270.0ms (2.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (sqrt.f64 2)) 4) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (.f64 -4 (log.f64 u1))) 2/3)) 8) 32) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 (.f64 1/24 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 1/2 (.f64 1/8 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) (-.f64 (+.f64 (/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8) -3/8))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 2) 4) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4)) (.f64 (sqrt.f64 1/2) 1/6)) 16) 1/2)
(+.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (log.f64 (/.f64 1 (pow.f64 u1 2)))))) 1/2)

Outputs
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)

Calls

10 calls:

102.0ms	u2
88.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
10.0ms	(*.f64 -2 (log.f64 u1))
10.0ms	(log.f64 u1)
10.0ms	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Results

Error	Segments	Branch
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)`
0.4b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.4b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.4b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.4b	1	`(*.f64 -2 (log.f64 u1))`
0.4b	1	`(log.f64 u1)`
0.4b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.4b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 360 to 305 computations (15.3% saved)

regimes154.0ms (1.2%)

Counts

9 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (sqrt.f64 2)) 4) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (.f64 -4 (log.f64 u1))) 2/3)) 8) 32) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Outputs
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Calls

6 calls:

8.0ms	(log.f64 u1)
7.0ms	u2
6.0ms	(*.f64 -2 (log.f64 u1))
6.0ms	(.f64 (.f64 2 (PI.f64)) u2)
6.0ms	u1

Results

Error	Segments	Branch
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(*.f64 -2 (log.f64 u1))`
0.4b	1	`(log.f64 u1)`
0.4b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.4b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 155 to 133 computations (14.2% saved)

regimes28.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3) (sqrt.f64 2)) 4) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (*.f64 (sqrt.f64 1/2) 2) 1/6)) 1/2)
(+.f64 (/.f64 (.f64 (.f64 (sqrt.f64 1/2) (.f64 (sqrt.f64 (.f64 -4 (log.f64 u1))) 2/3)) 8) 32) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 2)) (sqrt.f64 1/2))) 1/2)

Outputs
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)

Calls

4 calls:

7.0ms	(*.f64 -2 (log.f64 u1))
7.0ms	u1
5.0ms	(log.f64 u1)
5.0ms	u2

Results

Error	Segments	Branch
1.6b	1	`u1`
1.6b	1	`u2`
1.6b	1	`(*.f64 -2 (log.f64 u1))`
1.6b	1	`(log.f64 u1)`

Compiler

Compiled 124 to 107 computations (13.7% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.2b remaining (-9.2%)

Threshold costs -0.2b (-9.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)

Outputs
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)

Calls

3 calls:

4.0ms	u1
3.0ms	(log.f64 u1)
3.0ms	u2

Results

Error	Segments	Branch
1.7b	1	`u1`
1.7b	1	`u2`
1.7b	1	`(log.f64 u1)`

Compiler

Compiled 33 to 27 computations (18.2% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	262

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)

Outputs
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -4)) (sqrt.f64 1/2))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)

Compiler

Compiled 95 to 86 computations (9.5% saved)

soundness319.0ms (2.6%)

Algorithm

3×	egg-herbie

Rules

1528×	`rational_best-simplify-63`
1398×	`rational_best-simplify-1`
1162×	`rational_best-simplify-63`
1116×	`rational_best-simplify-50`
964×	`rational_best-simplify-64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	32	53
2	46	53
3	60	53
4	74	53
5	89	53
6	91	53
0	369	8314
1	895	8176
2	2548	7894
0	199	5650
1	434	5418
2	1144	5276
3	4247	5276

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 395 to 318 computations (19.5% saved)

end61.0ms (0.5%)

Compiler: Compiled 85 to 69 computations (18.8% saved)