Details

analyze33.0ms (1.1%)

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)

sample1.6s (53.5%)

Results

1.6s

8256×

body

256

valid

Bogosity

preprocess7.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

50×	`rational.json-simplify-2`
16×	`rational.json-simplify-31`
4×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
1	42	106
2	58	106
3	74	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 u2 (PI.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)))))
(+.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 (cos.f64 (.f64 u1 (.f64 2 (PI.f64)))) (pow.f64 (*.f64 -2 (log.f64 u2)) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2) (cos.f64 (.f64 u1 (*.f64 2 (PI.f64)))))))

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

26×	`rational.json-simplify-2`
8×	`rational.json-simplify-31`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	29	53
2	37	53
3	45	53

Stop Event

1×

saturated

Counts

1 → 4

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

eval4.0ms (0.1%)

Compiler: Compiled 72 to 58 computations (19.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.4b

Counts

5 → 1

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))))

Compiler

Compiled 19 to 17 computations (10.5% saved)

localize35.0ms (1.1%)

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)
✓	0.2b	(.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)

series64.0ms (2.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
19.0ms	u1	@	0	(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
14.0ms	u1	@	-inf	(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
13.0ms	u2	@	inf	(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
10.0ms	u1	@	inf	(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
2.0ms	u1	@	0	(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

rewrite8.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

66×	`rational.json-simplify-2`
60×	`bool.json-1`
48×	`rational.json-1`
48×	`rational.json-2`
46×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	108
1	90	108
2	142	108
3	177	108
4	187	108

Stop Event

1×

saturated

Counts

4 → 10

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 (PI.f64) u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 2 (.f64 (PI.f64) u2)) (.f64 2 (.f64 (PI.f64) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x .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)))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.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 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))))))

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

834×	`rational.json-simplify-2`
810×	`rational.json-simplify-31`
206×	`rational.json-simplify-1`
178×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	2954
1	184	2954
2	311	2954
3	575	2954
4	956	2954
5	1120	2954
6	1120	2954
7	1225	2954
8	1229	2954

Stop Event

1×

saturated

Counts

70 → 57

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)))
(*.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 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (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 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))))))
(+.f64 1/2 (.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 1/2 (.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 1/2 (.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 1/2 (.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 (.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))) (+.f64 1/2 (.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 1/2 (+.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 1/2 (+.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 1/2 (.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 (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 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 0)
(+.f64 0 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))
(+.f64 (.f64 2 (.f64 (PI.f64) u2)) 0)
(+.f64 0 (.f64 2 (.f64 (PI.f64) u2)))
(+.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 0)
(+.f64 0 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1)
(.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 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))))) 1)
(.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))))))

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

eval25.0ms (0.8%)

Compiler: Compiled 1486 to 1121 computations (24.6% saved)

prune11.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	5	58

Error

0.1b

Counts

58 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	64.0b	(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))) 1/2)
▶	0.3b	(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
✓	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))))
▶	0.3b	(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
▶	0.4b	(.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))))

Compiler

Compiled 94 to 85 computations (9.6% saved)

localize43.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
✓	0.1b	(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
✓	0.2b	(*.f64 u2 (PI.f64))
✓	0.4b	(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2)))

Compiler

Compiled 100 to 65 computations (35% saved)

series3.0ms (0.1%)

Counts

4 → 60

Calls

18 calls:

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

rewrite8.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

66×	`rational.json-simplify-2`
56×	`bool.json-1`
46×	`rational.json-simplify-1`
44×	`rational.json-1`
44×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	126
1	94	126
2	152	126
3	176	126
4	178	126

Stop Event

1×

saturated

Counts

4 → 10

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2))))))))
((#(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 or (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 (log.f64 u1) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (pow.f64 (.f64 (log.f64 u1) -2) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))) (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))))))))

simplify92.0ms (3%)

Algorithm

1×	egg-herbie

Rules

830×	`rational.json-simplify-2`
824×	`rational.json-simplify-31`
202×	`rational.json-simplify-1`
176×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	3966
1	183	3966
2	313	3966
3	573	3966
4	958	3966
5	1112	3966
6	1112	3966
7	1217	3966
8	1221	3966

Stop Event

1×

saturated

Counts

70 → 83

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)))))))
(*.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 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (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))) (+.f64 1/2 (.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 1/2 (+.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 1/2 (+.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 1/2 (.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 (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 (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))))))
(+.f64 1/2 (.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 1/2 (.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 1/2 (.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 1/2 (.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 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))) 0)
(+.f64 0 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 (*.f64 u2 (PI.f64)) 0)
(+.f64 0 (*.f64 u2 (PI.f64)))
(+.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2) 0)
(+.f64 0 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1)
(.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2))
(.f64 (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))) 1)
(.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))))

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

localize44.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.5b	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 91 to 73 computations (19.8% saved)

series9.0ms (0.3%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u1	@	-inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u1	@	0	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u1	@	0	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
0.0ms	u1	@	-inf	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u1	@	inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

rewrite7.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

38×	`rational.json-simplify-2`
36×	`bool.json-1`
28×	`rational.json-1`
28×	`rational.json-2`
28×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	59	71
2	95	71
3	108	71
4	109	71

Stop Event

1×

saturated

Counts

3 → 8

Calls

Call 1

Inputs
(*.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)))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)))))))

((#(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 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 or (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

76×	`rational.json-simplify-2`
44×	`rational.json-simplify-31`
8×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	956
1	54	956
2	67	956
3	85	956
4	102	956
5	106	956

Stop Event

1×

saturated

Counts

32 → 22

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (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 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (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 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(*.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 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)))
(+.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)
(+.f64 0 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)

Outputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (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 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (*.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 u1)) (*.f64 (sqrt.f64 -1) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (sqrt.f64 2) 1/6))
(*.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 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) 0)
(+.f64 0 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) 0)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)))
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)
(+.f64 0 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(+.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))

localize40.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 70 computations (19.5% saved)

series28.0ms (0.9%)

Counts

2 → 36

Calls

9 calls:

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

rewrite11.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

116×	`rational.json-simplify-2`
82×	`bool.json-1`
72×	`rational.json-1`
72×	`rational.json-2`
62×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	99	92
2	161	92
3	220	92
4	266	92
5	281	92

Stop Event

1×

saturated

Counts

2 → 4

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))))))))

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

simplify69.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

822×	`rational.json-simplify-31`
820×	`rational.json-simplify-2`
214×	`rational.json-simplify-1`
188×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	2432
1	172	2432
2	278	2432
3	548	2432
4	937	2432
5	1109	2432
6	1113	2432
7	1113	2432
8	1223	2432
9	1226	2432

Stop Event

1×

saturated

Counts

40 → 48

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (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 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (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 (/.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 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (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)))))
(+.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) (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 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 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 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 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.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 1/2 (.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 1/2 (.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 1/2 (.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 1/2 (.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 1/2 (+.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 1/2 (+.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 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))) 0)
(+.f64 0 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))))
(.f64 1 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 1/6 (sqrt.f64 2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(.f64 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 1/6 (sqrt.f64 2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1)

Outputs
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 2) (*.f64 1/6 (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 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 2) (*.f64 1/6 (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 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 2) (*.f64 1/6 (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 -1) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (*.f64 1/6 (sqrt.f64 2))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 2) (*.f64 1/6 (sqrt.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
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(+.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2)))))
(+.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2)))))
(+.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2)))))
(+.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2)))))
(+.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2)))))
(+.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))) 0)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 0)
(+.f64 0 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 0)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))) 0)
(.f64 1 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 1/6 (sqrt.f64 2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))))
(.f64 1 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 2))))))
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))))))
(.f64 1 (+.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))))))
(.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))))
(.f64 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (.f64 1/6 (sqrt.f64 2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1)
(.f64 1 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 2))))))
(.f64 1 (+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))))))
(.f64 1 (+.f64 1/2 (.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))))))
(.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))))

localize14.0ms (0.5%)

Compiler: Compiled 35 to 25 computations (28.6% saved)

eval74.0ms (2.4%)

Compiler: Compiled 4609 to 3650 computations (20.8% saved)

prune25.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	166	6	172

Error

0.1b

Counts

172 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))) 1/2)
✓	64.0b	(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))) 1/2)
▶	0.9b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
✓	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 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))))
✓	0.4b	(.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))))

Compiler

Compiled 101 to 92 computations (8.9% saved)

localize44.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
✓	0.2b	(.f64 (PI.f64) (.f64 2 u2))
✓	0.4b	(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 2 u2)))))

Compiler

Compiled 94 to 74 computations (21.3% saved)

series2.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite9.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

118×	`rational.json-simplify-2`
78×	`bool.json-1`
70×	`rational.json-1`
70×	`rational.json-2`
66×	`rational.json-simplify-31`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	91
1	92	91
2	153	91
3	202	91
4	259	91
5	274	91

Stop Event

1×

saturated

Counts

3 → 6

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 (PI.f64) u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 2 (*.f64 (PI.f64) u2)) (*.f64 2 (*.f64 (PI.f64) u2)))))))

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

854×	`rational.json-simplify-31`
812×	`rational.json-simplify-2`
62×	`rational.json-simplify-1`
36×	`rational.json-simplify-33`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	2274
1	150	2274
2	250	2274
3	464	2274
4	797	2274
5	938	2274
6	938	2274
7	1063	2274
8	1067	2274

Stop Event

1×

saturated

Counts

50 → 50

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 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.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 2) (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))))
(+.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) 0)
(+.f64 0 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 2 (.f64 (PI.f64) u2)) 0)
(+.f64 0 (.f64 2 (.f64 (PI.f64) u2)))

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)))) (.f64 (sqrt.f64 2) (sqrt.f64 -1))) (sqrt.f64 (log.f64 u1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (sqrt.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 2)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))))
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(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 2))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (*.f64 (sqrt.f64 2) (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 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (*.f64 (sqrt.f64 2) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 2))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (*.f64 (sqrt.f64 2) (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 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (*.f64 (sqrt.f64 2) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 2))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (*.f64 (sqrt.f64 2) (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 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (*.f64 (sqrt.f64 2) 1/6))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 2))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.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 2) (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 0)
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 0)
(+.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (*.f64 (sqrt.f64 2) 1/6)) 0)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 2)))) 0)
(+.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 0)
(+.f64 0 (.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))))
(+.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 0)
(+.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (*.f64 (sqrt.f64 2) 1/6)) 0)
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 1/6 (sqrt.f64 2)))) 0)
(+.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 0)
(+.f64 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))) 0)
(+.f64 0 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 0 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 2 (.f64 (PI.f64) u2)) 0)
(+.f64 (.f64 2 (.f64 u2 (PI.f64))) 0)
(+.f64 0 (.f64 2 (.f64 (PI.f64) u2)))
(+.f64 (.f64 2 (.f64 u2 (PI.f64))) 0)

localize25.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
	0.4b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
	0.5b	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 51 to 44 computations (13.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

u1

-inf

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

0.0ms

u1

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

0.0ms

u1

inf

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

rewrite7.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

40×	`rational.json-simplify-2`
40×	`bool.json-1`
32×	`rational.json-simplify-1`
30×	`rational.json-1`
30×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	68	37
2	106	37
3	121	37
4	122	37

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2) (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2))))))

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

76×	`rational.json-simplify-2`
44×	`rational.json-simplify-31`
10×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	586
1	56	586
2	69	586
3	87	586
4	104	586
5	108	586

Stop Event

1×

saturated

Counts

14 → 9

Calls

Call 1

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

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

localize24.0ms (0.8%)

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 1/6 (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 (sqrt.f64 2)))

Compiler

Compiled 47 to 41 computations (12.8% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite6.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

42×	`rational.json-simplify-2`
42×	`bool.json-1`
32×	`rational.json-1`
32×	`rational.json-2`
32×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	48
1	68	48
2	106	48
3	121	48
4	125	48

Stop Event

1×

saturated

Counts

2 → 6

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2) (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 u1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (/.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (/.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (/.f64 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (/.f64 1 u1)) (log.f64 (/.f64 1 u1)))))))

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

80×	`rational.json-simplify-2`
44×	`rational.json-simplify-31`
12×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	782
1	63	782
2	76	782
3	94	782
4	111	782
5	115	782

Stop Event

1×

saturated

Counts

26 → 14

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 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 1 (+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2))
(.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2) 1)
(+.f64 (log.f64 (/.f64 1 u1)) 0)
(+.f64 0 (log.f64 (/.f64 1 u1)))
(*.f64 1 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 (/.f64 1 u1)) 1)

Outputs
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 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 1 (+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2))
(.f64 1 (+.f64 1/2 (.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 1/6 (sqrt.f64 2))) 1/2) 1)
(.f64 1 (+.f64 1/2 (.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (log.f64 (/.f64 1 u1)) 0)
(+.f64 0 (log.f64 (/.f64 1 u1)))
(+.f64 (log.f64 (/.f64 1 u1)) 0)
(*.f64 1 (log.f64 (/.f64 1 u1)))
(*.f64 (log.f64 (/.f64 1 u1)) 1)
(*.f64 1 (log.f64 (/.f64 1 u1)))

eval47.0ms (1.5%)

Compiler: Compiled 2557 to 2180 computations (14.7% saved)

prune16.0ms (0.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	118	6	124

Error

0.1b

Counts

124 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0) 1/2)
✓	0.9b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))) 1/2)
✓	64.0b	(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))) 1/2)
✓	0.9b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
✓	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 (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))))

Compiler

Compiled 96 to 88 computations (8.3% saved)

localize32.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0) 1/2)
	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
✓	0.4b	(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)
✓	0.5b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))

Compiler

Compiled 65 to 57 computations (12.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite7.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

42×	`bool.json-1`
40×	`rational.json-simplify-2`
32×	`rational.json-1`
32×	`rational.json-2`
32×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	89
1	75	89
2	109	89
3	124	89
4	125	89

Stop Event

1×

saturated

Counts

3 → 6

Calls

Call 1

Inputs
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0) 1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))))))

((#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 1/2) (+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 1/2))))))

simplify22.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

72×	`rational.json-simplify-2`
40×	`rational.json-simplify-31`
14×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	1450
1	68	1450
2	81	1450
3	96	1450
4	107	1450
5	109	1450

Stop Event

1×

saturated

Counts

42 → 22

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (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 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (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 (/.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 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 0 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 0)
(+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6) 0)
(+.f64 0 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1 (+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 1/2))
(.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 1/2) 1)

Outputs
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (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) (*.f64 (sqrt.f64 -1) (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) (*.f64 (sqrt.f64 -1) (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) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 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 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 1/6 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(+.f64 1/2 (.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)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.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)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.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)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.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)))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))) 1/2)
(+.f64 0 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)))
(+.f64 0 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)) 0)
(+.f64 0 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6) 0)
(+.f64 0 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 0 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(+.f64 0 (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1 (+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 1/2))
(.f64 1 (+.f64 1/2 (.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(.f64 (+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (*.f64 (sqrt.f64 2) 1/6)) 1/2) 1)
(.f64 1 (+.f64 1/2 (.f64 1/6 (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))

eval8.0ms (0.3%)

Compiler: Compiled 424 to 384 computations (9.4% saved)

prune7.0ms (0.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	28	6	34

Error

0.1b

Counts

34 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0) 1/2)
✓	0.9b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (sqrt.f64 2))) 1/2)
✓	64.0b	(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))) 1/2)
✓	0.9b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
✓	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 (+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (pow.f64 (.f64 (log.f64 u1) -2) 1/2)))))

Compiler

Compiled 96 to 88 computations (8.3% saved)

regimes72.0ms (2.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

10 calls:

7.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
7.0ms	(*.f64 -2 (log.f64 u1))
6.0ms	(+.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)
6.0ms	u2
6.0ms	(.f64 (/.f64 1 6) (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 253 to 217 computations (14.2% saved)

regimes59.0ms (1.9%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

10 calls:

7.0ms	(+.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)
6.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
6.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
6.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
6.0ms	(*.f64 -2 (log.f64 u1))

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 234 to 201 computations (14.1% saved)

regimes55.0ms (1.8%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

10 calls:

6.0ms	(+.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)
6.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
6.0ms	(.f64 (.f64 2 (PI.f64)) u2)
6.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
5.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 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 215 to 185 computations (14% saved)

regimes31.0ms (1%)

Counts

5 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.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 (sqrt.f64 2))) 1/2)
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0) 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))))

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

Calls

7 calls:

5.0ms	u2
4.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
4.0ms	(*.f64 -2 (log.f64 u1))
4.0ms	(.f64 (.f64 2 (PI.f64)) u2)
4.0ms	(log.f64 u1)

Results

Error	Segments	Branch
0.4b	1	`u1`
0.4b	1	`u2`
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 106 to 92 computations (13.2% saved)

regimes14.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.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 (sqrt.f64 2))) 1/2)
(+.f64 (+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 0) 1/2)

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0.9b	1	`u1`
0.9b	1	`u2`
0.9b	1	`(log.f64 u1)`

Compiler

Compiled 60 to 53 computations (11.7% saved)

regimes10.0ms (0.3%)

Accuracy

Total -63.1b remaining (-7009.6%)

Threshold costs -63.1b (-7009.6%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0.9b	1	`u1`
0.9b	1	`u2`
0.9b	1	`(log.f64 u1)`

Compiler

Compiled 34 to 29 computations (14.7% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	339

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 122 to 111 computations (9% saved)

soundness31.0ms (1%)

Algorithm

2×	egg-herbie

Rules

834×	`rational.json-simplify-2`
810×	`rational.json-simplify-31`
206×	`rational.json-simplify-1`
178×	`rational.json-simplify-33`
26×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	29	53
2	37	53
3	45	53
0	98	2954
1	184	2954
2	311	2954
3	575	2954
4	956	2954
5	1120	2954
6	1120	2954
7	1225	2954
8	1229	2954

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 116 to 98 computations (15.5% saved)

end68.0ms (2.2%)

Compiler: Compiled 110 to 94 computations (14.5% saved)

Details

analyze33.0ms (1.1%)

sample1.6s (53.5%)

preprocess7.0ms (0.2%)

simplify5.0ms (0.2%)

eval4.0ms (0.1%)

prune1.0ms (0%)

localize35.0ms (1.1%)

series64.0ms (2.1%)

rewrite8.0ms (0.3%)

simplify75.0ms (2.4%)

eval25.0ms (0.8%)

prune11.0ms (0.4%)

localize43.0ms (1.4%)

series3.0ms (0.1%)

rewrite8.0ms (0.3%)

simplify92.0ms (3%)

localize44.0ms (1.4%)

series9.0ms (0.3%)

rewrite7.0ms (0.2%)

simplify17.0ms (0.6%)

localize40.0ms (1.3%)

series28.0ms (0.9%)

rewrite11.0ms (0.4%)

simplify69.0ms (2.2%)

localize14.0ms (0.5%)

eval74.0ms (2.4%)

prune25.0ms (0.8%)

localize44.0ms (1.4%)

series2.0ms (0.1%)

rewrite9.0ms (0.3%)

simplify54.0ms (1.7%)

localize25.0ms (0.8%)

series0.0ms (0%)

rewrite7.0ms (0.2%)

simplify11.0ms (0.4%)

localize24.0ms (0.8%)

series1.0ms (0%)

rewrite6.0ms (0.2%)

simplify14.0ms (0.4%)

eval47.0ms (1.5%)

prune16.0ms (0.5%)

localize32.0ms (1%)

series1.0ms (0%)

rewrite7.0ms (0.2%)

simplify22.0ms (0.7%)

eval8.0ms (0.3%)

prune7.0ms (0.2%)

regimes72.0ms (2.3%)

regimes59.0ms (1.9%)

regimes55.0ms (1.8%)

regimes31.0ms (1%)

regimes14.0ms (0.4%)

regimes10.0ms (0.3%)

simplify5.0ms (0.2%)

soundness31.0ms (1%)

end68.0ms (2.2%)

Profiling