Details

analyze366.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	25%	0%	0%	3
0%	0%	62.5%	0%	25%	0%	12.5%	4
0%	0%	56.2%	0%	25%	0%	18.7%	5
6.3%	3.1%	46.9%	0%	25%	3.1%	21.9%	6
6.5%	3.1%	45.3%	0%	25%	3.1%	23.4%	7
6.6%	3.1%	44.5%	0%	25%	3.1%	24.2%	8
7.4%	3.5%	44.1%	0%	25%	3.1%	24.2%	9
7.8%	3.7%	43.9%	0%	25%	3.1%	24.2%	10
8%	3.8%	43.8%	0%	25%	3.1%	24.2%	11
8%	3.8%	43.8%	0%	25%	3.1%	24.3%	12

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample13.5s (52.3%)

Results

4.1s	4001×	body	1024	valid
3.8s	4043×	body	1024	invalid
1.4s	2053×	body	512	valid
1.3s	2059×	body	512	invalid
1.3s	529×	body	2048	valid
1.1s	1673×	body	256	valid
521.0ms	983×	body	256	invalid
4.0ms	4×	body	2048	invalid
1.0ms	7×	body	256	unsamplable

Bogosity

preprocess141.0ms (0.5%)

Algorithm

2×	egg-herbie

Rules

1732×	`rational_best_45_simplify-1`
948×	`rational_best_45_simplify-98`
864×	`rational_best_45_simplify-35`
792×	`rational_best_45_simplify-32`
668×	`rational_best_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	39	127
2	93	127
3	330	127
4	1788	127
5	3929	127
6	6396	127
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Inputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Compiler

Compiled 39 to 31 computations (20.5% saved)

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1732×	`rational_best_45_simplify-1`
948×	`rational_best_45_simplify-98`
864×	`rational_best_45_simplify-35`
792×	`rational_best_45_simplify-32`
668×	`rational_best_45_simplify-74`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	39	127
2	93	127
3	330	127
4	1788	127
5	3929	127
6	6396	127

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Inputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

Outputs
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs

(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

eval1.0ms (0%)

Compiler: Compiled 75 to 57 computations (24% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

62.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	62.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Status

Error

Program

▶

62.0b

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Compiler

Compiled 38 to 29 computations (23.7% saved)

localize66.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 (PI.f64) 4) f)
✓	0.2b	(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
✓	0.7b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))
✓	5.7b	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))

Compiler

Compiled 169 to 113 computations (33.1% saved)

series7.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))
1.0ms	f	@	inf	(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
1.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
1.0ms	f	@	inf	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))
1.0ms	f	@	-inf	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))

rewrite129.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`rational_best_45_simplify-95`
698×	`rational_best_45_simplify-73`
626×	`rational_best_45_simplify-96`
588×	`rational_best_45_simplify-71`
514×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	180
1	96	180
2	276	180
3	1126	180
4	4551	180

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))
(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))
(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
(*.f64 (/.f64 (PI.f64) 4) f)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (.f64 1 (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 0 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))))) (.f64 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1 (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))))) (.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (/.f64 1 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) f))) (-.f64 (exp.f64 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simplify170.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1060×	`rational_best_45_simplify-84`
966×	`rational_best_45_simplify-98`
866×	`rational_best_45_simplify-25`
692×	`rational_best_45_simplify-100`
572×	`rational_best_45_simplify-37`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	9028
1	943	8248
2	4013	8132

Stop Event

1×	node limit

Counts

182 → 186

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
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(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 (pow.f64 f 2) (-.f64 (+.f64 (.f64 1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 -1/384 (/.f64 (pow.f64 (PI.f64) 3) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (/.f64 (.f64 (+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (+.f64 (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (.f64 2 (/.f64 (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3))) (pow.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) 2)))))))))
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(-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) 0))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 0 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 0 (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 0 (*.f64 (/.f64 (PI.f64) 4) f))
(-.f64 0 (-.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 0 (-.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 (/.f64 (PI.f64) 4) f))
(-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 (/.f64 (PI.f64) 4) f))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) 0) (.f64 (/.f64 (PI.f64) 4) f))
(-.f64 (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) 0) (*.f64 (/.f64 (PI.f64) 4) f))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) -1)
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) 1)
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(/.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 f f))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f)) (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)) (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (.f64 (/.f64 (PI.f64) 4) (/.f64 (neg.f64 f) (/.f64 (PI.f64) 4))) (*.f64 (/.f64 (PI.f64) 4) (/.f64 (neg.f64 f) (/.f64 (PI.f64) 4)))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (/.f64 (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))) (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))))
(neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))
(+.f64 (*.f64 (/.f64 (PI.f64) 4) f) 0)
(+.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))))
(+.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))))
(+.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4)))))
(+.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))))
(+.f64 0 (*.f64 (/.f64 (PI.f64) 4) f))
(+.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 (/.f64 (PI.f64) 4) f))
(+.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 (/.f64 (PI.f64) 4) f))
(+.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4)))) (*.f64 (/.f64 (PI.f64) 4) f))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))) (.f64 (/.f64 (PI.f64) 4) f))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) f) 0)
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) 0))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) 0))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 0 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 0 (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 0 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(-.f64 0 (-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(-.f64 0 (-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) 0) (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(-.f64 (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) 0) (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1)
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (/.f64 f f))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (/.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4))) (*.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4)))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f)) (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)) (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))) (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) -1)
(neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/384))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)) f) (+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) -1/122880))) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/384)))))
(+.f64 (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))
(+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 -1/82575360 (pow.f64 (PI.f64) 7)))))))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) -1/122880))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)) f) (+.f64 (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/384))) (.f64 (pow.f64 f 7) (-.f64 (.f64 1/82575360 (pow.f64 (PI.f64) 7)) (.f64 (pow.f64 (PI.f64) 7) -1/82575360))))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 -1/4 (.f64 (PI.f64) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64)))))))
(+.f64 (.f64 -1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)))) (+.f64 (.f64 2 (/.f64 1 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)) f))) (.f64 1/4 (/.f64 (PI.f64) (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4))))))
(+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (.f64 (/.f64 (PI.f64) (*.f64 (PI.f64) 1/2)) 0))
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(+.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4)))))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 0 (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 0 (*.f64 (/.f64 (PI.f64) 4) f))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 (/.f64 (PI.f64) 4) f))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 (/.f64 (PI.f64) 4) f))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4)))) (*.f64 (/.f64 (PI.f64) 4) f))
(*.f64 f (/.f64 (PI.f64) 4))
(+.f64 (.f64 0 (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))) (.f64 (/.f64 (PI.f64) 4) f))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (*.f64 (/.f64 (PI.f64) 4) f) 0)
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) 0))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) 0))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 0 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 0 (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 (/.f64 (PI.f64) 4) f) (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 0 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 0 (-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)))))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 0 (-.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) (.f64 0 (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f)))))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f))) 0) (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(*.f64 f (/.f64 (PI.f64) 4))
(-.f64 (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f))) 0) (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) 1)
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f)))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (/.f64 f f))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) f) (/.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))))
(*.f64 f (/.f64 (PI.f64) 4))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4))) (*.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4)))))
(/.f64 (.f64 f (/.f64 (PI.f64) 4)) (/.f64 (.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4))) (*.f64 (/.f64 (PI.f64) 4) (/.f64 f (/.f64 (PI.f64) 4)))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f)) (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))))
(/.f64 (.f64 f (/.f64 (PI.f64) 4)) (/.f64 (.f64 (/.f64 (PI.f64) 4) (/.f64 f f)) (*.f64 (/.f64 (PI.f64) 4) (/.f64 f f))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (.f64 (/.f64 (PI.f64) 4) f)) (/.f64 (.f64 (/.f64 (PI.f64) 4) f) (*.f64 (/.f64 (PI.f64) 4) f))))
(/.f64 (.f64 f (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (.f64 f (/.f64 (PI.f64) 4)) (.f64 f (/.f64 (PI.f64) 4))) (/.f64 (.f64 f (/.f64 (PI.f64) 4)) (*.f64 f (/.f64 (PI.f64) 4)))))
(/.f64 (.f64 (/.f64 (PI.f64) 4) f) (/.f64 (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))) (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (*.f64 f (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))))
(/.f64 (.f64 f (/.f64 (PI.f64) 4)) (/.f64 (.f64 f (.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)))) (.f64 f (*.f64 (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4)) (/.f64 (/.f64 (PI.f64) 4) (/.f64 (PI.f64) 4))))))
(/.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)) -1)
(*.f64 f (/.f64 (PI.f64) 4))
(neg.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))
(*.f64 f (/.f64 (PI.f64) 4))

eval230.0ms (0.9%)

Compiler: Compiled 15582 to 10979 computations (29.5% saved)

prune92.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	270	6	276
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	271	6	277

Error

1.5b

Counts

277 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	1.7b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	2.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	62.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (*.f64 -1/4 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	2.0b	(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	1.7b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Compiler

Compiled 450 to 364 computations (19.1% saved)

localize246.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.6b	(pow.f64 (PI.f64) 7)

Compiler

Compiled 376 to 280 computations (25.5% saved)

series0.0ms (0%)

Counts: 4 → 0

rewrite138.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1318×	`rational_best-4`
1318×	`rational_best-2`
1318×	`rational_best-3`
1318×	`rational_best-1`
942×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	67	42
2	153	42
3	529	42
4	2525	42
5	7866	42

Stop Event

1×	node limit

Counts

4 → 137

Calls

Call 1

Inputs
(pow.f64 (PI.f64) 7)
(pow.f64 (PI.f64) 3)
(pow.f64 (PI.f64) 5)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (PI.f64) 7) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (PI.f64) 7) (.f64 0 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (PI.f64) 7))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7))) (pow.f64 (PI.f64) 7))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (PI.f64) 7) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (pow.f64 (PI.f64) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (.f64 0 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)))) (neg.f64 (pow.f64 (PI.f64) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 7) (/.f64 1 (pow.f64 (PI.f64) 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) (.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) (.f64 1 (.f64 (pow.f64 (PI.f64) 7) (/.f64 1 (pow.f64 (PI.f64) 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) (.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (.f64 (pow.f64 (PI.f64) 7) (/.f64 1 (pow.f64 (PI.f64) 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) (.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 7) (/.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (pow.f64 (PI.f64) 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (.f64 (pow.f64 (PI.f64) 7) (/.f64 1 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (.f64 (pow.f64 (PI.f64) 7) (/.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (.f64 (pow.f64 (PI.f64) 7) (/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)) (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7))) (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (PI.f64) 7)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 (PI.f64) 7)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 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(2) ((x neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192))))))

simplify165.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1278×	`rational_best_45_simplify-71`
1122×	`rational_best_45_simplify-1`
852×	`rational_best_45_simplify-100`
686×	`rational_best_45_simplify-108`
678×	`rational_best_45_simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	2031
1	898	2031
2	4682	2031
3	7661	2031

Stop Event

1×	node limit

Counts

137 → 148

Calls

Call 1

Inputs
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(*.f64 (pow.f64 (PI.f64) 7) 1)
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(.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 (PI.f64) 5) (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5))) (pow.f64 (PI.f64) 5))))
(*.f64 1 (pow.f64 (PI.f64) 5))
(*.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (pow.f64 (PI.f64) 5))
(.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) (/.f64 1 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)))))
(.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) (/.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)))))
(.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (.f64 (pow.f64 (PI.f64) 5) (/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5))) (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) 5)) -1)
(*.f64 (neg.f64 (pow.f64 (PI.f64) 5)) (neg.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5))))
(.f64 (.f64 (pow.f64 (PI.f64) 5) (/.f64 1 (pow.f64 (PI.f64) 5))) (pow.f64 (PI.f64) 5))
(*.f64 -1 (neg.f64 (pow.f64 (PI.f64) 5)))
(.f64 -1 (.f64 1 (neg.f64 (pow.f64 (PI.f64) 5))))
(.f64 -1 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (neg.f64 (pow.f64 (PI.f64) 5))))
(.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5))) (pow.f64 (PI.f64) 5))
(*.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5))) (neg.f64 (pow.f64 (PI.f64) 5)))
(/.f64 (pow.f64 (PI.f64) 5) 1)
(/.f64 (pow.f64 (PI.f64) 5) (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)))
(/.f64 (pow.f64 (PI.f64) 5) (/.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5))))
(neg.f64 (neg.f64 (pow.f64 (PI.f64) 5)))
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(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 0 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 0 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3)))))
(+.f64 0 (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 (pow.f64 (PI.f64) 3) 1/192))
(+.f64 (.f64 0 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 (PI.f64) 3) 1/192))
(+.f64 (.f64 0 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(-.f64 0 (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)))) (.f64 (pow.f64 (PI.f64) 3) -1/192))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(-.f64 (+.f64 0 (.f64 0 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))) (.f64 (pow.f64 (PI.f64) 3) -1/192))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 0 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(-.f64 (+.f64 0 (.f64 0 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 0 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
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(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (*.f64 (pow.f64 (PI.f64) 3) 1/96)))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 -1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (*.f64 -1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (*.f64 (pow.f64 (PI.f64) 3) 1/96))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))) (.f64 1/192 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192) -1)
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192))

Outputs
(+.f64 (pow.f64 (PI.f64) 7) 0)
(pow.f64 (PI.f64) 7)
(+.f64 (pow.f64 (PI.f64) 7) (*.f64 0 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7))))
(pow.f64 (PI.f64) 7)
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(+.f64 (*.f64 0 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7))) (pow.f64 (PI.f64) 7))
(pow.f64 (PI.f64) 7)
(-.f64 (pow.f64 (PI.f64) 7) 0)
(pow.f64 (PI.f64) 7)
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(pow.f64 (PI.f64) 7)
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 (PI.f64) 7)))) (neg.f64 (pow.f64 (PI.f64) 7)))
(pow.f64 (PI.f64) 7)
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(pow.f64 (PI.f64) 7)
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(pow.f64 (PI.f64) 7)
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(pow.f64 (PI.f64) 7)
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(pow.f64 (PI.f64) 7)
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(pow.f64 (PI.f64) 7)
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(pow.f64 (PI.f64) 3)
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(.f64 -1 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (neg.f64 (pow.f64 (PI.f64) 5))))
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(*.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5))) (neg.f64 (pow.f64 (PI.f64) 5)))
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(/.f64 (pow.f64 (PI.f64) 5) (/.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5)) (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 (PI.f64) 5))))
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(*.f64 (pow.f64 (PI.f64) 3) 1/192)
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(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 0 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (.f64 0 (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3)))))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
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(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 (pow.f64 (PI.f64) 3) 1/192))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 (.f64 0 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 (PI.f64) 3) 1/192))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(+.f64 (.f64 0 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3)))) (*.f64 (pow.f64 (PI.f64) 3) 1/192))
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(-.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 0)
(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(-.f64 0 (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(-.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))
(.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (.f64 (pow.f64 (PI.f64) 3) 1/48)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(-.f64 (+.f64 0 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)))) (.f64 (pow.f64 (PI.f64) 3) -1/192))
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (.f64 (pow.f64 (PI.f64) 3) 1/48)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(-.f64 (+.f64 0 (.f64 0 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))) (.f64 (pow.f64 (PI.f64) 3) -1/192))
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 0 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (.f64 (pow.f64 (PI.f64) 3) 1/48)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(-.f64 (+.f64 0 (.f64 0 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3))))) (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96))) (.f64 0 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3))))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (*.f64 (pow.f64 (PI.f64) 3) -1/192)))
(.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (.f64 (pow.f64 (PI.f64) 3) 1/48)) (neg.f64 (.f64 (pow.f64 (PI.f64) 3) -1/192)))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) 1)
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(*.f64 (pow.f64 (PI.f64) 3) 1/192)
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (*.f64 (pow.f64 (PI.f64) 3) 1/96)))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (*.f64 (pow.f64 (PI.f64) 3) 1/48)))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 -1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))) (*.f64 -1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) -1/192) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) -1/192)))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (.f64 (pow.f64 (PI.f64) 3) 1/96)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/96) (*.f64 (pow.f64 (PI.f64) 3) 1/96))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (.f64 (pow.f64 (PI.f64) 3) 1/48)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/48) (*.f64 (pow.f64 (PI.f64) 3) 1/48))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 1/192 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))) (.f64 1/192 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)))) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (*.f64 1/192 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3))))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) 1/192)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 3)) 1/192))))
(/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (/.f64 (.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3))) (*.f64 (pow.f64 (PI.f64) 3) (/.f64 1/192 (pow.f64 (PI.f64) 3)))))
(/.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192) -1)
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192))
(neg.f64 (*.f64 (pow.f64 (PI.f64) 3) -1/192))

localize34.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
✓	0.2b	(.f64 (.f64 (PI.f64) 1/2) f)
✓	0.4b	(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Compiler

Compiled 59 to 45 computations (23.7% saved)

series55.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	f	@	0	(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
23.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
7.0ms	f	@	inf	(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
0.0ms	f	@	0	(.f64 (.f64 (PI.f64) 1/2) f)
0.0ms	f	@	-inf	(.f64 (.f64 (PI.f64) 1/2) f)

rewrite145.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`rational_best_45_simplify-73`
804×	`rational_best_45_simplify-100`
758×	`rational_best_45_simplify-71`
672×	`rational_best-4`
672×	`rational_best-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	85
1	110	85
2	330	85
3	1510	85
4	6388	85

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs
(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (.f64 (PI.f64) 1/2) f)
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))

Outputs

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simplify108.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

940×	`rational_best_45_simplify-98`
870×	`rational_best_45_simplify-84`
728×	`rational_best_45_simplify-25`
694×	`rational_best_45_simplify-83`
646×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	237	5320
1	774	5308
2	3201	5276

Stop Event

1×	node limit

Counts

142 → 150

Calls

Call 1

Inputs
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Outputs
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(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
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(-.f64 0 (.f64 (.f64 f (/.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) -1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(-.f64 0 (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (neg.f64 f)) (*.f64 (PI.f64) 1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(-.f64 (.f64 0 (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f))) (.f64 (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) -1/2))))
(.f64 (/.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (neg.f64 (.f64 f (*.f64 (PI.f64) -1/2))))
(.f64 (/.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (neg.f64 (.f64 (PI.f64) (*.f64 f -1/2))))
(.f64 (.f64 f (.f64 (PI.f64) 1/2)) (/.f64 (.f64 f (PI.f64)) (*.f64 f (PI.f64))))
(-.f64 (.f64 0 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2)))) (.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) -1/2)))
(.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (-.f64 0 (*.f64 (PI.f64) -1/2)))
(.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (PI.f64) -1/2)))
(-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (/.f64 (PI.f64) (PI.f64))))) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (/.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) -1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f))) 0) (.f64 (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) -1/2))))
(.f64 (/.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (neg.f64 (.f64 f (*.f64 (PI.f64) -1/2))))
(.f64 (/.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (neg.f64 (.f64 (PI.f64) (*.f64 f -1/2))))
(.f64 (.f64 f (.f64 (PI.f64) 1/2)) (/.f64 (.f64 f (PI.f64)) (*.f64 f (PI.f64))))
(-.f64 (-.f64 (.f64 0 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2)))) 0) (.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (*.f64 (PI.f64) -1/2)))
(.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (-.f64 0 (*.f64 (PI.f64) -1/2)))
(.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (neg.f64 (*.f64 (PI.f64) -1/2)))
(-.f64 (-.f64 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (/.f64 (PI.f64) (PI.f64))))) 0) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (/.f64 (PI.f64) (PI.f64)))) (*.f64 (PI.f64) -1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) 1)
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (PI.f64) (PI.f64)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 f f))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (.f64 f (/.f64 (PI.f64) (PI.f64))) (.f64 f (/.f64 (PI.f64) (PI.f64)))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 f 1/2)) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (.f64 1/2 f) (.f64 1/2 f)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f f)) (.f64 (.f64 (PI.f64) 1/2) (/.f64 f f))))
(/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f f)) (.f64 (.f64 (PI.f64) 1/2) (/.f64 f f))))
(/.f64 (.f64 (PI.f64) (.f64 f 1/2)) (/.f64 (.f64 (PI.f64) (.f64 (/.f64 f f) 1/2)) (.f64 (PI.f64) (.f64 (/.f64 f f) 1/2))))
(/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (/.f64 (.f64 (PI.f64) (/.f64 f f)) (.f64 (PI.f64) (/.f64 f f))))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)) (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f))))
(/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (/.f64 (/.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (/.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64)))))
(/.f64 (.f64 (PI.f64) (.f64 f 1/2)) (/.f64 (/.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64))) (/.f64 (.f64 f (PI.f64)) (.f64 f (PI.f64)))))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (.f64 f (.f64 1/2 (/.f64 (PI.f64) (PI.f64)))) (.f64 f (.f64 1/2 (/.f64 (PI.f64) (PI.f64))))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 (.f64 (PI.f64) (.f64 f 1/2)) (/.f64 (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2))) (.f64 (.f64 (PI.f64) 1/2) (/.f64 f (.f64 (PI.f64) 1/2)))))
(/.f64 (.f64 f (.f64 (PI.f64) 1/2)) (/.f64 (.f64 (/.f64 f (.f64 (PI.f64) 1/2)) (PI.f64)) (.f64 (/.f64 f (.f64 (PI.f64) 1/2)) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 1/2 f)) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (/.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (/.f64 (PI.f64) (PI.f64))))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(neg.f64 (.f64 f (.f64 (PI.f64) -1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(neg.f64 (.f64 1 (.f64 f (*.f64 (PI.f64) -1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(neg.f64 (.f64 -1 (.f64 (PI.f64) (*.f64 1/2 f))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(neg.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (*.f64 (PI.f64) -1/2))))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(neg.f64 (.f64 (.f64 f (/.f64 (PI.f64) (PI.f64))) (*.f64 (PI.f64) -1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(neg.f64 (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (neg.f64 f)) (*.f64 (PI.f64) 1/2)))
(.f64 f (.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (.f64 f 1/2))
(+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(+.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 0 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(+.f64 0 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(+.f64 (.f64 0 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(-.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) 0)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(-.f64 0 (.f64 -1 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))) 1)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 1 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 1 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (.f64 (.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 1 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 -1 (neg.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 1 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (neg.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))) -1)
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (neg.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (neg.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f))))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 1 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))) (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(.f64 (neg.f64 (/.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))) (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f))))) (neg.f64 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(neg.f64 (neg.f64 (/.f64 2 (.f64 (PI.f64) (.f64 1/2 f)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))
(neg.f64 (.f64 -1 (/.f64 2 (.f64 (PI.f64) (*.f64 1/2 f)))))
(/.f64 2 (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 2 (.f64 (PI.f64) (.f64 f 1/2)))

localize121.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (/.f64 (PI.f64) 4) (neg.f64 f))
✓	0.2b	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (.f64 (PI.f64) 1/2) f))
✓	0.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	0.7b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (.f64 (PI.f64) 1/2) f)))

Compiler

Compiled 137 to 92 computations (32.8% saved)

series200.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
160.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (.f64 (PI.f64) 1/2) f)))
36.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (.f64 (PI.f64) 1/2) f)))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (.f64 (PI.f64) 1/2) f)))
1.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
1.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

rewrite257.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`rational_best_45_simplify-71`
974×	`rational_best-4`
974×	`rational_best-2`
974×	`rational_best-3`
974×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	233
1	148	233
2	477	233
3	2218	233

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs

(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f)))

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (*.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

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simplify216.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1108×	`rational_best_45_simplify-84`
932×	`rational_best_45_simplify-67`
872×	`rational_best_45_simplify-98`
704×	`rational_best_45_simplify-99`
704×	`rational_best_45_simplify-100`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	12211
1	883	12035
2	3215	11915

Stop Event

1×	node limit

Counts

121 → 162

Calls

Call 1

Inputs
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Outputs
(+.f64 (*.f64 -1 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 f (neg.f64 (/.f64 (PI.f64) 4))))) (.f64 f (.f64 (PI.f64) 1/2)))
(.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (.f64 f 1/2))) (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (.f64 f 1/2))))) (neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (*.f64 f 1/2)))))
(/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 f (.f64 (PI.f64) 1/2)))
(/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 f (neg.f64 (/.f64 (PI.f64) 4))))) (.f64 f (.f64 (PI.f64) 1/2)))

localize111.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (.f64 1/4 f))
✓	0.2b	(.f64 (PI.f64) (.f64 -1/4 f))
✓	0.7b	(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
✓	5.7b	(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))

Compiler

Compiled 165 to 118 computations (28.5% saved)

series2.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	f	@	0	(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
0.0ms	f	@	0	(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
0.0ms	f	@	inf	(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
0.0ms	f	@	-inf	(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
0.0ms	f	@	inf	(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))

rewrite191.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`rational_best_45_simplify-95`
754×	`rational_best_45_simplify-73`
648×	`rational_best_45_simplify-100`
618×	`rational_best_45_simplify-71`
546×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	164
1	104	164
2	302	164
3	1285	164
4	5179	164

Stop Event

1×	node limit

Counts

4 → 144

Calls

Call 1

Inputs
(-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
(.f64 (PI.f64) (.f64 -1/4 f))
(.f64 (PI.f64) (.f64 1/4 f))

Outputs
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(PI.f64) f) (.f64 (PI.f64) f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 1/4 f) (PI.f64))) (.f64 (PI.f64) (/.f64 (.f64 1/4 f) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4))) (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (/.f64 (PI.f64) 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simplify160.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational_best_45_simplify-84`
984×	`rational_best_45_simplify-25`
748×	`rational_best_45_simplify-100`
606×	`rational_best_45_simplify-37`
592×	`rational_best_45_simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	327	8622
1	1016	7974
2	4546	7858

Stop Event

1×	node limit

Counts

192 → 202

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
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(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
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(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
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(.f64 -1/4 (.f64 f (PI.f64)))
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(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 f -1/4) (.f64 f -1/4)))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (.f64 f -1/4) (/.f64 (PI.f64) (PI.f64))) (.f64 (.f64 f -1/4) (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 1/4 f) (PI.f64))) (.f64 (PI.f64) (/.f64 (.f64 1/4 f) (PI.f64)))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/4)))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4))) (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4)))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f)))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 1/4 (.f64 f (/.f64 (PI.f64) (PI.f64))))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 1/4 (.f64 f (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (.f64 (PI.f64) (.f64 f -1/4)) -1)
(neg.f64 (.f64 (PI.f64) (.f64 f -1/4)))

Outputs
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f)
(.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f)
(.f64 (.f64 (PI.f64) 1/2) f)
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 -1/384 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 (PI.f64) -1/4)) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/384))))
(+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))
(+.f64 (.f64 (pow.f64 f 5) (-.f64 (.f64 1/122880 (pow.f64 (PI.f64) 5)) (.f64 -1/122880 (pow.f64 (PI.f64) 5)))) (+.f64 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (.f64 -1/4 (PI.f64))) f) (.f64 (pow.f64 f 3) (-.f64 (.f64 1/384 (pow.f64 (PI.f64) 3)) (*.f64 -1/384 (pow.f64 (PI.f64) 3))))))
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(+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440))))
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(+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)))))
(+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 f 7) (.f64 (pow.f64 (PI.f64) 7) 1/41287680)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))))
(-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f))))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 -1/4 (PI.f64))) f))
(/.f64 2 (.f64 (-.f64 (.f64 1/4 (PI.f64)) (*.f64 (PI.f64) -1/4)) f))
(/.f64 2 (.f64 (.f64 (PI.f64) 1/2) f))
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(/.f64 (+.f64 (exp.f64 (.f64 -1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 1/4 (.f64 f (PI.f64))))) (-.f64 (exp.f64 (.f64 1/4 (.f64 f (PI.f64)))) (exp.f64 (.f64 -1/4 (.f64 f (PI.f64))))))
(/.f64 (+.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 1/4 (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))))
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(-.f64 (.f64 (PI.f64) (.f64 1/4 f)) (-.f64 (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 0 (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (*.f64 f -1/4))))))
(.f64 1/4 (.f64 (PI.f64) f))
(-.f64 (.f64 (PI.f64) (.f64 1/4 f)) (-.f64 0 (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 1/4 (.f64 (PI.f64) f))
(-.f64 (.f64 (PI.f64) (.f64 1/4 f)) (-.f64 (.f64 0 (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4)))) (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (*.f64 1/4 f))))))
(.f64 1/4 (.f64 (PI.f64) f))
(-.f64 (.f64 (PI.f64) (.f64 1/4 f)) (-.f64 (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f))))))
(.f64 1/4 (.f64 (PI.f64) f))
(-.f64 0 (.f64 (PI.f64) (.f64 f -1/4)))
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(-.f64 0 (-.f64 (.f64 (PI.f64) (.f64 f -1/4)) (.f64 0 (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4))))))
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(-.f64 0 (-.f64 (.f64 (PI.f64) (.f64 f -1/4)) (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (*.f64 1/4 f))))))
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(-.f64 (.f64 0 (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4)))) (.f64 (PI.f64) (.f64 f -1/4)))
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(-.f64 (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f)))) (.f64 (PI.f64) (*.f64 f -1/4)))
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(-.f64 (-.f64 (.f64 0 (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4)))) 0) (.f64 (PI.f64) (.f64 f -1/4)))
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(-.f64 (-.f64 (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f)))) 0) (.f64 (PI.f64) (*.f64 f -1/4)))
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) 1)
(.f64 1/4 (.f64 (PI.f64) f))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (PI.f64) (PI.f64)))
(.f64 1/4 (.f64 (PI.f64) f))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 f f))
(.f64 1/4 (.f64 (PI.f64) f))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 f -1/4) (.f64 f -1/4)))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 -1/4 f) (.f64 -1/4 f)))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (.f64 1/4 (.f64 (PI.f64) f))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (.f64 f -1/4) (/.f64 (PI.f64) (PI.f64))) (.f64 (.f64 f -1/4) (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 (.f64 -1/4 f) (/.f64 (PI.f64) (PI.f64))) (.f64 (.f64 -1/4 f) (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 -1/4 (.f64 f (/.f64 (PI.f64) (PI.f64)))) (.f64 -1/4 (.f64 f (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)))
(.f64 1/4 (.f64 (PI.f64) f))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 1/4 f) (PI.f64))) (.f64 (PI.f64) (/.f64 (.f64 1/4 f) (PI.f64)))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 1/4 f) (PI.f64))) (.f64 (PI.f64) (/.f64 (.f64 1/4 f) (PI.f64)))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) 1/4) (.f64 (PI.f64) 1/4)))
(.f64 1/4 (.f64 (PI.f64) f))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4))) (.f64 (PI.f64) (/.f64 (.f64 f -1/4) (.f64 f -1/4)))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/4 f) (.f64 -1/4 f))) (.f64 (PI.f64) (/.f64 (.f64 -1/4 f) (.f64 -1/4 f)))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f))) (/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (.f64 (PI.f64) (.f64 1/4 f)))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (.f64 1/4 (.f64 (PI.f64) f))) (/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (.f64 1/4 (.f64 (PI.f64) f)))))
(/.f64 (.f64 (PI.f64) (.f64 1/4 f)) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 1/4 (.f64 f (/.f64 (PI.f64) (PI.f64))))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 1/4 (.f64 f (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 1/4 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (/.f64 (PI.f64) (PI.f64))))) (.f64 1/4 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 f (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 1/4 (.f64 f (/.f64 (PI.f64) (PI.f64))))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 1/4 (.f64 f (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (.f64 1/4 (.f64 (PI.f64) f)) (/.f64 (.f64 1/4 (.f64 f (.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))) (.f64 1/4 (.f64 f (.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (.f64 (PI.f64) (.f64 f -1/4)) -1)
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))
(neg.f64 (.f64 (PI.f64) (.f64 f -1/4)))
(neg.f64 (.f64 (PI.f64) (.f64 -1/4 f)))

localize86.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	0.7b	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))
	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
	1.0b	(pow.f64 (PI.f64) 3)

Compiler

Compiled 204 to 144 computations (29.4% saved)

series16.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	f	@	-inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))
2.0ms	f	@	inf	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))
1.0ms	f	@	inf	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
1.0ms	f	@	0	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)))))
1.0ms	f	@	0	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1556×	`rational_best_45_simplify-71`
1336×	`rational_best-4`
1336×	`rational_best-2`
1336×	`rational_best-3`
1336×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	230
1	196	230
2	641	230
3	2992	230

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs

(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))

(*.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (*.f64 (*.f64 (PI.f64) 1/2) f) (*.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs

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simplify123.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1460×	`rational_best_45_simplify-71`
830×	`rational_best_45_simplify-84`
656×	`rational_best_45_simplify-100`
578×	`rational_best_45_simplify-37`
540×	`rational_best_45_simplify-83`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	8929
1	821	8553
2	2754	8251

Stop Event

1×	node limit

Counts

67 → 132

Calls

Call 1

Inputs
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Outputs
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(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
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(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 f (neg.f64 (/.f64 (PI.f64) 4))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 f (neg.f64 (/.f64 (PI.f64) 4))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 1 (/.f64 (PI.f64) 4)))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 f (neg.f64 (/.f64 (PI.f64) 4))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(/.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4)))) (/.f64 (.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))))) (.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192)))))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 f (neg.f64 (/.f64 (PI.f64) 4))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(neg.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (PI.f64) (.f64 f 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) 4))) (exp.f64 (.f64 f (neg.f64 (/.f64 (PI.f64) 4))))) (+.f64 (.f64 f (.f64 (PI.f64) 1/2)) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

eval1.1s (4.3%)

Compiler: Compiled 56151 to 41458 computations (26.2% saved)

prune285.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	1014	8	1022
Fresh	0	1	1
Picked	1	0	1
Done	3	1	4
Total	1018	10	1028

Error

1.3b

Counts

1028 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.9b	(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
▶	2.0b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	1.7b	(.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 0 (.f64 1/2 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12)))))) (*.f64 f 0)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	2.0b	(.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (*.f64 f 1/2))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	62.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (*.f64 -1/4 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	2.0b	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	2.0b	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	1.7b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	1.9b	(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))

Compiler

Compiled 638 to 510 computations (20.1% saved)

localize209.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
	1.0b	(pow.f64 (PI.f64) 5)
	1.0b	(pow.f64 (PI.f64) 3)
	1.6b	(pow.f64 (PI.f64) 7)

Compiler

Compiled 372 to 281 computations (24.5% saved)

localize109.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 4 (*.f64 f (PI.f64)))
✓	0.2b	(*.f64 f (PI.f64))
✓	0.4b	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Compiler

Compiled 46 to 30 computations (34.8% saved)

series1.0ms (0%)

Counts

3 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	f	@	-inf	(*.f64 f (PI.f64))
0.0ms	f	@	0	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
0.0ms	f	@	inf	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
0.0ms	f	@	-inf	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
0.0ms	f	@	0	(/.f64 4 (*.f64 f (PI.f64)))

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

834×	`rational_best_45_simplify-96`
660×	`rational_best_45_simplify-73`
580×	`rational_best_45_simplify-100`
550×	`rational_best_45_simplify-71`
524×	`rational_best-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	90	67
2	269	67
3	1144	67
4	4818	67

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 f (PI.f64))
(/.f64 4 (*.f64 f (PI.f64)))

Outputs

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simplify174.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best_45_simplify-1`
798×	`rational_best_45_simplify-98`
704×	`rational_best_45_simplify-84`
652×	`rational_best_45_simplify-83`
548×	`rational_best_45_simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	4159
1	644	4151
2	2540	4135
3	7255	4135

Stop Event

1×	node limit

Counts

111 → 113

Calls

Call 1

Inputs
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(.f64 (/.f64 4 (.f64 f (PI.f64))) (.f64 (.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))) (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 1 (/.f64 4 (.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 -1 (neg.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 4 (.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64)))) (.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64)))) (.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (*.f64 f (PI.f64)))))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (neg.f64 (/.f64 4 (.f64 f (PI.f64)))) -1)
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (neg.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 1 (/.f64 4 (.f64 f (PI.f64))))) (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64)))) (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))) (/.f64 4 (*.f64 f (PI.f64))))
(/.f64 4 (*.f64 f (PI.f64)))
(.f64 (neg.f64 (/.f64 (/.f64 4 (.f64 f (PI.f64))) (/.f64 4 (.f64 f (PI.f64))))) (neg.f64 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(neg.f64 (neg.f64 (/.f64 4 (*.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))
(neg.f64 (.f64 -1 (/.f64 4 (.f64 f (PI.f64)))))
(/.f64 4 (*.f64 f (PI.f64)))

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
✓	0.4b	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 54 to 36 computations (33.3% saved)

series42.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	f	@	0	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
11.0ms	f	@	-inf	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
7.0ms	f	@	inf	(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
0.0ms	f	@	-inf	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
0.0ms	f	@	0	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))

rewrite228.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

704×	`rational_best_45_simplify-73`
604×	`rational_best_45_simplify-96`
530×	`rational_best_45_simplify-100`
524×	`rational_best_45_simplify-95`
518×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	91
1	99	83
2	260	79
3	1099	79
4	4749	79

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(log.f64 (/.f64 4 (PI.f64)))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))

Outputs

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(log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 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simplify225.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1402×	`rational_best_45_simplify-84`
982×	`rational_best_45_simplify-100`
774×	`rational_best_45_simplify-91`
758×	`rational_best_45_simplify-37`
450×	`rational_best_45_simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	309	12184
1	1037	12004
2	4383	12004

Stop Event

1×	node limit

Counts

176 → 182

Calls

Call 1

Inputs
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Outputs
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(.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 -1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -1)
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 -1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 0 (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 0 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
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(*.f64 (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1)
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -1)
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
	0.2b	(+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64))))
✓	0.3b	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 84 to 53 computations (36.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	f	@	0	(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
1.0ms	f	@	inf	(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
0.0ms	f	@	-inf	(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
0.0ms	f	@	0	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
0.0ms	f	@	-inf	(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))

rewrite111.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`rational_best_45_simplify-108`
662×	`rational_best_45_simplify-96`
656×	`rational_best_45_simplify-73`
516×	`rational_best_45_simplify-100`
496×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	106	52
2	276	52
3	1048	52
4	4528	52

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 1/8 (*.f64 (PI.f64) (pow.f64 f 2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (*.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 f 2) 1/8)) (PI.f64)))))))

simplify195.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

918×	`rational_best_45_simplify-1`
720×	`rational_best_45_simplify-39`
708×	`rational_best_45_simplify-98`
678×	`rational_best_45_simplify-84`
626×	`rational_best_45_simplify-83`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	4652
1	674	4620
2	2485	4588
3	6220	4588

Stop Event

1×	node limit

Counts

142 → 139

Calls

Call 1

Inputs
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(neg.f64 (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 f 2) 1/8)) (PI.f64)))

Outputs
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(.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/8))))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 -1/8 (.f64 (pow.f64 f 2) (neg.f64 (PI.f64)))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 1 (.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 -1 (.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 f 2) 1/8)) (PI.f64)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 (.f64 0 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2))))) (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2)))) (*.f64 (pow.f64 f 2) 1/8)))
(.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2)))) (-.f64 0 (*.f64 (pow.f64 f 2) 1/8)))
(.f64 (.f64 (PI.f64) (/.f64 (.f64 (pow.f64 f 2) -1/4) (.f64 (pow.f64 f 2) -1/4))) (neg.f64 (*.f64 (pow.f64 f 2) 1/8)))
(.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2)))) (neg.f64 (*.f64 (pow.f64 f 2) 1/8)))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)))) (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
(.f64 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))) (neg.f64 (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/8))))
(.f64 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))) (neg.f64 (.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))
(.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/8))))
(-.f64 (+.f64 0 (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 -1/8 (.f64 (pow.f64 f 2) (neg.f64 (PI.f64)))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 1 (.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 -1 (.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 0 (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 f 2) 1/8)) (PI.f64)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(-.f64 (+.f64 (.f64 0 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2))))) (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2)))) (*.f64 (pow.f64 f 2) 1/8)))
(.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2)))) (-.f64 0 (*.f64 (pow.f64 f 2) 1/8)))
(.f64 (.f64 (PI.f64) (/.f64 (.f64 (pow.f64 f 2) -1/4) (.f64 (pow.f64 f 2) -1/4))) (neg.f64 (*.f64 (pow.f64 f 2) 1/8)))
(.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2)))) (neg.f64 (*.f64 (pow.f64 f 2) 1/8)))
(-.f64 (+.f64 (.f64 0 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)))) (.f64 0 (.f64 (PI.f64) -1/8))) (.f64 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8))))
(.f64 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))) (neg.f64 (.f64 (pow.f64 f 2) (*.f64 (PI.f64) 1/8))))
(.f64 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))) (neg.f64 (.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))
(.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (.f64 (pow.f64 f 2) (*.f64 (PI.f64) -1/8))))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) 1)
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (PI.f64) (PI.f64)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (pow.f64 f 2) (pow.f64 f 2)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64))) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (.f64 (PI.f64) (pow.f64 f 2)) (.f64 (PI.f64) (pow.f64 f 2))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (PI.f64))) (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (PI.f64)))))
(/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (PI.f64))) (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (PI.f64)))))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (.f64 -1/8 (pow.f64 f 2)) (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 -1/8 (.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64))))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 -1/8 (.f64 (pow.f64 f 2) (/.f64 (PI.f64) (PI.f64)))))))
(/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))) (.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2)))) (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2))))))
(/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 (pow.f64 f 2) -1/4) (.f64 (pow.f64 f 2) -1/4))) (.f64 (PI.f64) (/.f64 (.f64 (pow.f64 f 2) -1/4) (.f64 (pow.f64 f 2) -1/4)))))
(/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2)))) (.f64 (PI.f64) (/.f64 (.f64 -1/8 (pow.f64 f 2)) (.f64 -1/8 (pow.f64 f 2))))))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (.f64 (PI.f64) -1/8) (.f64 (PI.f64) -1/8)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(/.f64 (.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2))) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)))))
(/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4))) (/.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)) (.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/4)))))
(/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (/.f64 (/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))) (/.f64 (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)) (.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8)))))
(neg.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/8)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(neg.f64 (.f64 -1/8 (.f64 (pow.f64 f 2) (neg.f64 (PI.f64)))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(neg.f64 (.f64 1 (.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(neg.f64 (.f64 -1 (.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2)))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(neg.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (*.f64 (pow.f64 f 2) 1/8))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(neg.f64 (.f64 1/8 (.f64 (PI.f64) (pow.f64 f 2))))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))
(neg.f64 (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 (pow.f64 f 2) 1/8)) (PI.f64)))
(.f64 (PI.f64) (.f64 -1/8 (pow.f64 f 2)))
(.f64 (pow.f64 f 2) (.f64 (PI.f64) -1/8))

localize190.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)))))
	1.0b	(*.f64 (pow.f64 (PI.f64) 3) 1/192)
✓	1.0b	(-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))
	1.0b	(pow.f64 (PI.f64) 3)

Compiler

Compiled 300 to 241 computations (19.7% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))

1.0ms

inf

(*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))

1.0ms

-inf

(*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))

rewrite215.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`rational_best_45_simplify-100`
774×	`rational_best_45_simplify-71`
756×	`rational_best-4`
756×	`rational_best-2`
756×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	156
1	133	156
2	405	156
3	1672	156
4	7317	156

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs

(-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2))))

(*.f64 f (-.f64 (*.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2))) (*.f64 2 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))

Outputs

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simplify217.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

962×	`rational_best_45_simplify-1`
920×	`rational_best_45_simplify-80`
790×	`rational_best_45_simplify-84`
724×	`rational_best_45_simplify-25`
640×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	9253
1	656	9085
2	2942	9019
3	7308	9019

Stop Event

1×	node limit

Counts

91 → 108

Calls

Call 1

Inputs
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2))
(+.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)) 0)
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(.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))
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(.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 1 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))) (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))))
(.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (.f64 (.f64 (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))) (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))))
(.f64 1 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) -1)
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (neg.f64 (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))))
(.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (.f64 -1 (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))))
(.f64 -1 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))
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(-.f64 0 (.f64 (/.f64 f f) (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))))
(-.f64 0 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)) f)))
(-.f64 0 (.f64 (.f64 (/.f64 f f) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2))) f))
(-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 1/16 f)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (+.f64 f f)))
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(-.f64 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 1/16 f)) (/.f64 f f)) (.f64 (/.f64 f f) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (+.f64 f f))))
(-.f64 (.f64 (.f64 f (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f)) (.f64 (/.f64 f f) (.f64 f (.f64 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) -1/16))))
(-.f64 (.f64 0 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f))) (.f64 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)) (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))))
(-.f64 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 1/16 f)) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f))) (.f64 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (+.f64 f f))))
(-.f64 (.f64 (.f64 f (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f))) (.f64 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)) (.f64 f (.f64 (/.f64 (pow.f64 (PI.f64) 2) (*.f64 (PI.f64) 1/2)) -1/16))))
(-.f64 (.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))) (.f64 (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)))))
(-.f64 (.f64 0 (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))) (.f64 (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) 1)
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 f f))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (/.f64 f f) (/.f64 f f)))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f)) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 (/.f64 f f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f))) (.f64 (/.f64 f f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f)))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)) (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))) (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))))
(/.f64 (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) -1)
(neg.f64 (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))
(neg.f64 (.f64 (/.f64 f f) (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))))
(neg.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)) f)))
(neg.f64 (.f64 (.f64 (/.f64 f f) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2))) f))

Outputs
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
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(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
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(.f64 f (.f64 (PI.f64) 1/12))
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(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 1/24 (PI.f64))))
(.f64 f (-.f64 (.f64 1/8 (PI.f64)) (*.f64 (PI.f64) 1/24)))
(.f64 f (.f64 (PI.f64) 1/12))
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(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f)) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f))))
(/.f64 (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f)) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 (/.f64 f f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f))) (.f64 (/.f64 f f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (/.f64 f f)))))
(/.f64 (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (.f64 (/.f64 f f) (/.f64 f f))) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (.f64 (/.f64 f f) (/.f64 f f)))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)) (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f))))
(/.f64 (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) (/.f64 (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)) (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f)) (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f))))
(/.f64 (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) (/.f64 (/.f64 (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))) (/.f64 (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) (.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))))
(/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) f) (/.f64 (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))) (.f64 f (/.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))))
(.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))
(/.f64 (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))) -1)
(neg.f64 (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))
(.f64 f (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16)))
(neg.f64 (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))
(.f64 f (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16)))
(neg.f64 (.f64 (/.f64 f f) (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)))))
(neg.f64 (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))
(.f64 f (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16)))
(neg.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2)) f)))
(.f64 f (+.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2)))
(neg.f64 (.f64 (.f64 (/.f64 f f) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (*.f64 (PI.f64) 1/2) 2)) -2))) f))
(neg.f64 (.f64 f (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2))))
(.f64 f (-.f64 (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) -2) (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) -1/16)))

eval956.0ms (3.7%)

Compiler: Compiled 42435 to 31687 computations (25.3% saved)

prune383.0ms (1.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	820	8	828
Fresh	2	2	4
Picked	1	0	1
Done	2	3	5
Total	825	13	838

Error

1.2b

Counts

838 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(-.f64 (.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
	2.0b	(+.f64 (.f64 -4 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))) (.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
	2.0b	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
	2.0b	(.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
▶	1.7b	(.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 0 (.f64 1/2 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12)))))) (*.f64 f 0)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	2.0b	(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	62.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (*.f64 -1/4 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	2.0b	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	2.0b	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	1.7b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 f 1/16)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (+.f64 f f))) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	1.7b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
▶	1.9b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))

Compiler

Compiled 676 to 536 computations (20.7% saved)

localize128.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 0 (.f64 1/2 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12)))))) (*.f64 f 0)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	1.0b	(*.f64 (PI.f64) 1/12)
✓	1.0b	(.f64 (PI.f64) (.f64 1/2 (*.f64 (PI.f64) 1/12)))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 196 to 146 computations (25.5% saved)

series3.0ms (0%)

Counts

3 → 12

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 0 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/12)))))) (*.f64 f 0)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

1.0ms

inf

(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 0 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/12)))))) (*.f64 f 0)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

1.0ms

-inf

(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 0 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/12)))))) (*.f64 f 0)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

rewrite114.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational_best-4`
1292×	`rational_best-2`
1292×	`rational_best-3`
1292×	`rational_best-1`
1238×	`rational_best_45_simplify-71`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	117
1	208	107
2	615	107
3	2744	103

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

(*.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/12)))

(*.f64 (PI.f64) 1/12)

(*.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (*.f64 (pow.f64 f 2) (+.f64 0 (*.f64 1/2 (*.f64 (PI.f64) (*.f64 1/2 (*.f64 (PI.f64) 1/12)))))) (*.f64 f 0)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs

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simplify184.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1234×	`rational_best_45_simplify-71`
918×	`rational_best_45_simplify-84`
770×	`rational_best_45_simplify-100`
758×	`rational_best_45_simplify-83`
728×	`rational_best_45_simplify-67`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	261	6409
1	896	5801
2	3368	5801

Stop Event

1×	node limit

Counts

105 → 123

Calls

Call 1

Inputs
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Outputs
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(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/48))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))))))
(/.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48)))))) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))) (log.f64 f)))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/48))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))))))
(/.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48)))))) (/.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/48))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))))))
(/.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48)))))) (/.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48)))))) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/48))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))))))
(/.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48)))))) (/.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))) (log.f64 f))))) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))) (log.f64 f))) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))) (log.f64 f)))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/48))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))))))
(neg.f64 (.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (-.f64 (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))) (log.f64 f))) (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (pow.f64 f 2) 1/48))))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (+.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 (PI.f64) (.f64 (pow.f64 f 2) (.f64 (PI.f64) 1/48))))))

localize41.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
✓	0.3b	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 41 to 26 computations (36.6% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	f	@	inf	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
0.0ms	f	@	-inf	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
0.0ms	f	@	0	(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
0.0ms	f	@	-inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
0.0ms	f	@	inf	(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

rewrite155.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1478×	`rational_best_45_simplify-71`
1162×	`rational_best-4`
1162×	`rational_best-2`
1162×	`rational_best-3`
1162×	`rational_best-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	54
1	62	54
2	138	54
3	456	54
4	2106	54

Stop Event

1×	node limit

Counts

2 → 82

Calls

Call 1

Inputs
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

Outputs

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simplify115.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1344×	`rational_best_45_simplify-84`
968×	`rational_best_45_simplify-71`
614×	`rational_best_45_simplify-100`
588×	`rational_best_45_simplify-70`
506×	`rational_best_45_simplify-73`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	174	3078
1	675	2878
2	4338	2878

Stop Event

1×	node limit

Counts

98 → 92

Calls

Call 1

Inputs
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(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -1)
(neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))

Outputs
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64))
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(.f64 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
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(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(*.f64 (neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
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(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) 1)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) -1)
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))
(neg.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(+.f64 (log.f64 (/.f64 4 (PI.f64))) (neg.f64 (log.f64 f)))
(-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))

localize37.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (.f64 f (PI.f64)) 1/8))
✓	0.2b	(/.f64 1 (*.f64 f (PI.f64)))
	0.2b	(*.f64 f (PI.f64))
✓	0.4b	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Compiler

Compiled 88 to 54 computations (38.6% saved)

series4.0ms (0%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	f	@	inf	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
1.0ms	f	@	0	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
1.0ms	f	@	-inf	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
0.0ms	f	@	0	(/.f64 1 (*.f64 f (PI.f64)))
0.0ms	f	@	-inf	(/.f64 1 (*.f64 f (PI.f64)))

rewrite138.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`rational_best_45_simplify-71`
900×	`rational_best_45_simplify-100`
760×	`rational_best-4`
760×	`rational_best-2`
760×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	125
1	118	125
2	358	125
3	1628	125
4	7400	125

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs

(*.f64 (log.f64 (+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

(/.f64 1 (*.f64 f (PI.f64)))

(+.f64 (*.f64 4 (/.f64 1 (*.f64 f (PI.f64)))) (*.f64 (*.f64 f (PI.f64)) 1/8))

Outputs

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simplify134.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1104×	`rational_best_45_simplify-84`
1016×	`rational_best_45_simplify-98`
820×	`rational_best_45_simplify-25`
628×	`rational_best_45_simplify-100`
614×	`rational_best_45_simplify-83`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	247	7480
1	828	7456
2	3264	7456

Stop Event

1×	node limit

Counts

114 → 148

Calls

Call 1

Inputs
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(/.f64 4 (*.f64 f (PI.f64)))
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Outputs
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(/.f64 1 (*.f64 f (PI.f64)))
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(.f64 1 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (*.f64 f (PI.f64))) -4)))
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (*.f64 f (PI.f64))) -4)) 1)
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (*.f64 f (PI.f64))) -4))))
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
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(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
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(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (/.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)))))
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (.f64 (.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (/.f64 1 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)))) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (*.f64 f (PI.f64))) -4)))))
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (.f64 (.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)))) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (*.f64 f (PI.f64))) -4)))))
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(.f64 -1 (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (*.f64 f (PI.f64))) -4))))
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(.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (*.f64 f (PI.f64))) -4)))
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))) (.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (/.f64 1 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))))))
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(.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))) (.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (/.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))))))
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(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
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(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) 1)
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(/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))))
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (/.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4))) (/.f64 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)) (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (.f64 f (PI.f64))) -4)))))
(-.f64 (.f64 f (.f64 (PI.f64) 1/8)) (.f64 -4 (/.f64 1 (.f64 f (PI.f64)))))
(neg.f64 (.f64 -1 (-.f64 (.f64 (PI.f64) (.f64 f 1/8)) (.f64 (/.f64 1 (*.f64 f (PI.f64))) -4))))
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localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
✓	0.5b	(*.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4)))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 59 to 43 computations (27.1% saved)

series9.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	f	@	0	(*.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4)))
1.0ms	f	@	-inf	(*.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4)))
1.0ms	f	@	0	(-.f64 (.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
1.0ms	f	@	inf	(*.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4)))
0.0ms	f	@	-inf	(-.f64 (.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))

rewrite116.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`rational_best_45_simplify-96`
726×	`rational_best_45_simplify-73`
572×	`rational_best_45_simplify-100`
548×	`rational_best_45_simplify-71`
524×	`rational_best-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	88
1	91	68
2	262	68
3	1104	68
4	4963	68

Stop Event

1×	node limit

Counts

2 → 121

Calls

Call 1

Inputs
(*.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4)))
(-.f64 (.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs

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simplify151.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1644×	`rational_best_45_simplify-84`
1390×	`rational_best_45_simplify-25`
1146×	`rational_best_45_simplify-100`
930×	`rational_best_45_simplify-37`
930×	`rational_best_45_simplify-91`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	6681
1	1087	6617
2	5412	6265

Stop Event

1×	node limit

Counts

145 → 136

Calls

Call 1

Inputs
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(*.f64 4 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 4 (/.f64 (log.f64 f) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
(*.f64 -4 (/.f64 (log.f64 (/.f64 1 f)) (PI.f64)))
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(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (PI.f64)))
(.f64 4 (/.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 f))) (log.f64 -1)) (PI.f64)))
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(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 f) (neg.f64 (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(/.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) -1)
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 f) (neg.f64 (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(neg.f64 (*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (+.f64 (log.f64 f) (neg.f64 (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
✓	0.3b	(/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
✓	0.4b	(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	2.0b	(log.f64 (/.f64 4 (PI.f64)))

Compiler

Compiled 118 to 80 computations (32.2% saved)

series2.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	f	@	-inf	(/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
0.0ms	f	@	inf	(/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
0.0ms	f	@	0	(/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))
0.0ms	f	@	inf	(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
0.0ms	f	@	0	(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1436×	`rational_best_45_simplify-71`
1220×	`rational_best_45_simplify-100`
1022×	`rational_best_45_simplify-83`
986×	`rational_best_45_simplify-91`
948×	`rational_best-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	195
1	118	133
2	392	129
3	1945	129

Stop Event

1×	node limit

Counts

3 → 110

Calls

Call 1

Inputs

(*.f64 (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

(/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))

(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))

Outputs

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simplify159.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational_best_45_simplify-67`
1048×	`rational_best_45_simplify-84`
880×	`rational_best_45_simplify-25`
860×	`rational_best_45_simplify-100`
704×	`rational_best_45_simplify-37`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	10820
1	948	10480
2	4045	10146

Stop Event

1×	node limit

Counts

142 → 177

Calls

Call 1

Inputs
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
(.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (.f64 -1 (log.f64 (/.f64 1 f)))) (PI.f64)))
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Outputs
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(/.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (.f64 (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))) (.f64 (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (*.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))))
(/.f64 (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (/.f64 (.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))) (.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))))
(/.f64 (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (/.f64 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))) (/.f64 (.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))))))
(/.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (/.f64 (.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))) (.f64 (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))) (/.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))))))
(/.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))) -1)
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(neg.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64))))))
(*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))
(fabs.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(fabs.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(fabs.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 -1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))
(fabs.f64 (*.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))))

eval679.0ms (2.6%)

Compiler: Compiled 39045 to 27123 computations (30.5% saved)

prune322.0ms (1.2%)

Pruning

19 alts after pruning (13 fresh and 6 done)

	Pruned	Kept	Total
New	911	9	920
Fresh	1	4	5
Picked	1	0	1
Done	1	6	7
Total	914	19	933

Error

1.1b

Counts

933 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	2.0b	(-.f64 (.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
	1.6b	(+.f64 (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (PI.f64) (*.f64 (pow.f64 f 2) -1/12)))
	2.0b	(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
	2.1b	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (/.f64 (PI.f64) 4)))))
	2.0b	(.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
✓	62.0b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (*.f64 -1/4 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	1.6b	(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	2.0b	(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
✓	2.0b	(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	1.7b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 f 1/16)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (+.f64 f f))) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	1.7b	(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	63.0b	(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
	61.3b	(.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/12))
	2.0b	(*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
	61.3b	(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
✓	1.9b	(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
	63.0b	(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
	2.0b	(.f64 -4 (/.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (PI.f64)))
	2.0b	(.f64 -4 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))))

Compiler

Compiled 450 to 360 computations (20% saved)

regimes71.0ms (0.3%)

Counts

33 → 1

Calls

Call 1

Inputs
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/12))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))
(+.f64 (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (PI.f64) (*.f64 (pow.f64 f 2) -1/12)))
(+.f64 (.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64))) (.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (/.f64 (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))) (/.f64 1 (/.f64 (PI.f64) 4)))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (+.f64 (log.f64 (/.f64 4 (PI.f64))) (+.f64 (neg.f64 (log.f64 f)) (+.f64 (.f64 (pow.f64 f 2) (+.f64 0 (.f64 1/2 (.f64 (PI.f64) (.f64 1/2 (.f64 (PI.f64) 1/12)))))) (*.f64 f 0)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 -4 (/.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (PI.f64)))
(.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))) (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)))))
(.f64 (.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (*.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (/.f64 1 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (*.f64 -1/4 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (*.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (.f64 (pow.f64 f 3) (*.f64 (pow.f64 (PI.f64) 3) 1/192))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (-.f64 (.f64 1/16 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2))) (.f64 2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2))))) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 2) (.f64 (PI.f64) 1/2)) (.f64 f 1/16)) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/192) (pow.f64 (.f64 (PI.f64) 1/2) 2)) (+.f64 f f))) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 -4 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))))))
(+.f64 (.f64 -4 (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (.f64 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)) (/.f64 1 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))))) (.f64 (PI.f64) (*.f64 -1/8 (pow.f64 f 2))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 1/4 f))) (exp.f64 (.f64 (PI.f64) (.f64 -1/4 f)))) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (+.f64 (.f64 (.f64 (PI.f64) 1/2) f) (+.f64 (.f64 (pow.f64 f 3) (.f64 (pow.f64 (PI.f64) 3) 1/192)) (+.f64 (.f64 (pow.f64 f 5) (.f64 (pow.f64 (PI.f64) 5) 1/61440)) (.f64 (pow.f64 f 7) (*.f64 (pow.f64 (PI.f64) 7) 1/41287680))))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (.f64 (.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (.f64 f 1/2)))) (/.f64 1 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (.f64 f 1/2)))))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (.f64 (/.f64 (PI.f64) 4) (neg.f64 f)))) (.f64 (PI.f64) (*.f64 f 1/2))))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs
(+.f64 (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (PI.f64) (*.f64 (pow.f64 f 2) -1/12)))

Calls

6 calls:

16.0ms	(*.f64 (/.f64 (PI.f64) 4) f)
15.0ms	f
5.0ms	(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))
5.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))
5.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))

Results

Error	Segments	Branch
1.6b	1	`f`
1.6b	1	`(neg.f64 (.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f))))))))`
1.6b	1	`(.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) 4) f)))))))`
1.6b	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f))))))`
1.6b	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) 4) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) 4) f)))))`
1.6b	1	`(*.f64 (/.f64 (PI.f64) 4) f)`

Compiler

Compiled 1063 to 781 computations (26.5% saved)

regimes12.0ms (0%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/12))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 4 (-.f64 (/.f64 (log.f64 f) (PI.f64)) (/.f64 (log.f64 (/.f64 4 (PI.f64))) (PI.f64))))
(-.f64 (.f64 (log.f64 f) (/.f64 1 (/.f64 (PI.f64) 4))) (.f64 (log.f64 (/.f64 4 (PI.f64))) (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
1.7b	1	`f`

Compiler

Compiled 201 to 147 computations (26.9% saved)

regimes83.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/12))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(*.f64 -4 (/.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (PI.f64)))
(*.f64 (/.f64 1 (/.f64 (PI.f64) 4)) (-.f64 (log.f64 f) (log.f64 (/.f64 4 (PI.f64)))))
(.f64 -4 (/.f64 (+.f64 (log.f64 (.f64 (PI.f64) 1/8)) (neg.f64 (log.f64 (/.f64 1 f)))) (PI.f64)))
(*.f64 (+.f64 (neg.f64 (log.f64 f)) (log.f64 (/.f64 4 (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (+.f64 (.f64 4 (/.f64 1 (.f64 f (PI.f64)))) (.f64 (*.f64 f (PI.f64)) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
1.9b	1	`f`

Compiler

Compiled 144 to 105 computations (27.1% saved)

regimes10.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/12))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 (log.f64 (/.f64 2 (.f64 (*.f64 (PI.f64) 1/2) f))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
2.0b	1	`f`

Compiler

Compiled 58 to 45 computations (22.4% saved)

regimes7.0ms (0%)

Accuracy

Total -1.6b remaining (-2.6%)

Threshold costs -1.6b (-2.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))
(.f64 (PI.f64) (.f64 (pow.f64 f 2) -1/12))
(.f64 (log.f64 (.f64 f (*.f64 (PI.f64) 1/8))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))

Outputs
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
61.3b	1	`f`

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	245

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (PI.f64) (*.f64 (pow.f64 f 2) -1/12)))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))

Outputs
(+.f64 (.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64))) (.f64 (PI.f64) (*.f64 (pow.f64 f 2) -1/12)))
(.f64 (log.f64 (+.f64 (.f64 2 (/.f64 1 (.f64 (.f64 (PI.f64) 1/2) f))) (+.f64 (.f64 f (.f64 (PI.f64) 1/12)) 0))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(*.f64 -4 (/.f64 (-.f64 (log.f64 (/.f64 4 (PI.f64))) (log.f64 f)) (PI.f64)))
(.f64 (log.f64 (/.f64 4 (.f64 f (PI.f64)))) (neg.f64 (/.f64 1 (/.f64 (PI.f64) 4))))
(.f64 -1/12 (.f64 (pow.f64 f 2) (PI.f64)))

Compiler

Compiled 80 to 67 computations (16.3% saved)

soundness695.0ms (2.7%)

Algorithm

4×	egg-herbie

Rules

1732×	`rational_best_45_simplify-1`
1460×	`rational_best_45_simplify-71`
1234×	`rational_best_45_simplify-71`
1060×	`rational_best_45_simplify-84`
966×	`rational_best_45_simplify-98`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	127
1	39	127
2	93	127
3	330	127
4	1788	127
5	3929	127
6	6396	127
0	309	9028
1	943	8248
2	4013	8132
0	262	8929
1	821	8553
2	2754	8251
0	261	6409
1	896	5801
2	3368	5801

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 751 to 573 computations (23.7% saved)

end154.0ms (0.6%)

Compiler: Compiled 76 to 58 computations (23.7% saved)