Details

analyze313.0ms (3.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	8
29.9%	29.7%	69.5%	0.1%	0.8%	0%	0%	9
31%	30.4%	67.9%	0.1%	1.6%	0%	0%	10
37.3%	36.3%	61.1%	0.1%	2.5%	0%	0%	11
38.3%	36.9%	59.5%	0.1%	3.5%	0%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.0s (35.6%)

Results

1.3s	1039×	body	2048	valid
780.0ms	1916×	body	1024	valid
588.0ms	4562×	body	256	valid
166.0ms	691×	body	512	valid
164.0ms	48×	body	4096	valid
37.0ms	295×	body	256	infinite
5.0ms	9×	body	2048	infinite
2.0ms	3×	body	8192	exit

Bogosity

preprocess92.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1352×	`rational_best_oopsla_all_46_json_45_simplify-23`
1124×	`rational_best_oopsla_all_46_json_45_simplify-10`
1064×	`rational_best_oopsla_all_46_json_45_simplify-30`
988×	`rational_best_oopsla_all_46_json_45_simplify-49`
918×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	49	90
2	158	90
3	560	90
4	2392	90
5	6257	90
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) F) (.f64 (/.f64 1 (.f64 l l)) (tan.f64 (.f64 (PI.f64) F))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) F) (.f64 (/.f64 1 (.f64 l l)) (tan.f64 (.f64 (PI.f64) F))))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify136.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1968×	`rational_best_oopsla_all_46_json_45_simplify-10`
1298×	`rational_best_oopsla_all_46_json_45_simplify-89`
1036×	`rational_best_oopsla_all_46_json_45_simplify-74`
808×	`rational_best_oopsla_all_46_json_45_simplify-24`
726×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	29	45
2	88	45
3	309	45
4	1268	45
5	4879	45
6	7018	45

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

eval0.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) l)
✓	0.8b	(/.f64 1 (*.f64 F F))
✓	4.6b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	28.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series8.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	0	(tan.f64 (*.f64 (PI.f64) l))
1.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1126×	`rational_best_oopsla_all_46_json_45_simplify-80`
820×	`rational_best_oopsla_all_46_json_45_simplify-35`
614×	`rational_best_oopsla_all_46_json_45_simplify-23`
610×	`rational_best_oopsla_all_46_json_45_simplify-89`
538×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	81	66
2	270	66
3	1189	66
4	5208	66

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(tan.f64 (*.f64 (PI.f64) l))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
(*.f64 (PI.f64) l)

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))) (.f64 0 (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))) (.f64 0 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))) (.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))) (.f64 0 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) (.f64 0 (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) (.f64 0 (.f64 (PI.f64) (/.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 l (/.f64 (PI.f64) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) (.f64 0 (.f64 (PI.f64) (/.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l))) (.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (PI.f64) (/.f64 l (PI.f64)))) (.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 l (/.f64 (PI.f64) (PI.f64))))) (.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (.f64 (PI.f64) (/.f64 l l))) (.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) l) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (PI.f64) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 1 (.f64 (PI.f64) (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (neg.f64 l)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 0 (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l))) (.f64 (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (.f64 (PI.f64) (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) (PI.f64))) (.f64 l (/.f64 (PI.f64) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l (PI.f64))) (.f64 (PI.f64) (/.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 l (/.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 l (/.f64 (PI.f64) (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l l)) (.f64 (PI.f64) (/.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (PI.f64) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 1 (.f64 (PI.f64) (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (neg.f64 l))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (neg.f64 l)) (PI.f64)))))))

simplify161.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational_best_oopsla_all_46_json_45_simplify-49`
1290×	`rational_best_oopsla_all_46_json_45_simplify-72`
1044×	`rational_best_oopsla_all_46_json_45_simplify-7`
800×	`rational_best_oopsla_all_46_json_45_simplify-89`
654×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	288	5729
1	971	5413
2	4230	5397

Stop Event

1×	node limit

Counts

173 → 157

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 1 (pow.f64 F 2))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(+.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)
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(-.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)
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(.f64 (tan.f64 (.f64 (PI.f64) l)) 1)
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(.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l)))))
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Outputs
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(-.f64 (*.f64 (PI.f64) l) 0)
(*.f64 l (PI.f64))
(-.f64 0 (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 0 (.f64 1 (.f64 (PI.f64) (neg.f64 l))))
(*.f64 l (PI.f64))
(-.f64 0 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (neg.f64 l))))
(*.f64 l (PI.f64))
(-.f64 0 (.f64 -1 (.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(-.f64 0 (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (neg.f64 l)) (PI.f64)))
(*.f64 l (PI.f64))
(-.f64 (.f64 0 (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l))) (.f64 (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (*.f64 (PI.f64) (neg.f64 l))))
(.f64 (/.f64 (.f64 l (PI.f64)) (.f64 l (PI.f64))) (neg.f64 (.f64 (PI.f64) (neg.f64 l))))
(.f64 (.f64 l (PI.f64)) (/.f64 (.f64 l (PI.f64)) (.f64 l (PI.f64))))
(/.f64 (*.f64 (PI.f64) l) 1)
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) l) (/.f64 (PI.f64) (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) l) (/.f64 l l))
(*.f64 l (PI.f64))
(/.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(*.f64 l (PI.f64))
(/.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) (PI.f64))) (*.f64 l (/.f64 (PI.f64) (PI.f64)))))
(*.f64 l (PI.f64))
(/.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l (PI.f64))) (*.f64 (PI.f64) (/.f64 l (PI.f64)))))
(/.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (PI.f64) (/.f64 l (PI.f64))) (*.f64 (PI.f64) (/.f64 l (PI.f64)))))
(/.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 l (/.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (PI.f64) (PI.f64)) (*.f64 l (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 l (PI.f64)) (/.f64 (.f64 l (.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))) (.f64 l (*.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l l)) (*.f64 (PI.f64) (/.f64 l l))))
(*.f64 l (PI.f64))
(/.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l)) (/.f64 (.f64 (PI.f64) l) (*.f64 (PI.f64) l))))
(/.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 l (PI.f64))) (/.f64 (.f64 l (PI.f64)) (*.f64 l (PI.f64)))))
(neg.f64 (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(neg.f64 (.f64 1 (.f64 (PI.f64) (neg.f64 l))))
(*.f64 l (PI.f64))
(neg.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (neg.f64 l))))
(*.f64 l (PI.f64))
(neg.f64 (.f64 -1 (.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(neg.f64 (.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (neg.f64 l)) (PI.f64)))
(*.f64 l (PI.f64))

eval128.0ms (1.5%)

Compiler: Compiled 6284 to 2818 computations (55.2% saved)

prune33.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	189	5	194
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	189	6	195

Error

14.5b

Counts

195 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	20.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
▶	14.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))
▶	14.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (tan.f64 (.f64 (PI.f64) l)))))
▶	20.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
✓	14.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	30.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 230 to 138 computations (40% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(/.f64 1 (*.f64 F F))
✓	4.6b	(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
✓	28.8b	(cos.f64 (*.f64 l (PI.f64)))
✓	28.9b	(sin.f64 (*.f64 l (PI.f64)))

Compiler

Compiled 71 to 19 computations (73.2% saved)

series5.0ms (0.1%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
1.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
1.0ms	l	@	-inf	(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
0.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
0.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))

rewrite101.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1178×	`rational_best_oopsla_all_46_json_45_simplify-80`
896×	`rational_best_oopsla_all_46_json_45_simplify-35`
654×	`rational_best_oopsla_all_46_json_45_simplify-23`
644×	`rational_best_oopsla_all_46_json_45_simplify-89`
578×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	91	75
2	292	75
3	1254	75
4	5537	75

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs
(sin.f64 (*.f64 l (PI.f64)))
(cos.f64 (*.f64 l (PI.f64)))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 l (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 0 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (.f64 l (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 1 (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 1 (cos.f64 (.f64 l (PI.f64))))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 (.f64 l (PI.f64))) (.f64 (.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 1 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 1 (cos.f64 (.f64 l (PI.f64))))) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) (neg.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (cos.f64 (.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (neg.f64 (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (cos.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (cos.f64 (*.f64 l (PI.f64)))))))))
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(PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) (neg.f64 (/.f64 (/.f64 1 (*.f64 F F)) (/.f64 1 (*.f64 F F))))) (/.f64 1 (*.f64 F F))))))))

simplify101.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1642×	`rational_best_oopsla_all_46_json_45_simplify-13`
1196×	`rational_best_oopsla_all_46_json_45_simplify-49`
1004×	`rational_best_oopsla_all_46_json_45_simplify-72`
858×	`rational_best_oopsla_all_46_json_45_simplify-7`
696×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	5386
1	842	5162
2	3567	5154

Stop Event

1×	node limit

Counts

118 → 122

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (*.f64 l (PI.f64)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
1
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)
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(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
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(-.f64 (cos.f64 (*.f64 l (PI.f64))) 0)
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(neg.f64 (.f64 -1 (cos.f64 (.f64 l (PI.f64)))))
(+.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) 0)
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(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) 1)
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Outputs
(*.f64 l (PI.f64))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (*.f64 l (PI.f64)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))
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(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
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1
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(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
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(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(+.f64 0 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
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(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
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(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
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(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
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(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(-.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) 0)
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(-.f64 0 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(-.f64 0 (.f64 1 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(-.f64 0 (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 (/.f64 1 (.f64 F F)) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(-.f64 0 (.f64 -1 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(-.f64 0 (.f64 (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (neg.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))) (/.f64 1 (*.f64 F F))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(-.f64 (.f64 0 (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))) (.f64 (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))) (.f64 (/.f64 1 (.f64 F F)) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))
(.f64 (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))) (neg.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))))
(.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) 1)
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 1 (.f64 F F))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))) (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))))))
(neg.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(neg.f64 (.f64 1 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(neg.f64 (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 (/.f64 1 (.f64 F F)) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(neg.f64 (.f64 -1 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))
(neg.f64 (.f64 (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (neg.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))) (/.f64 1 (*.f64 F F))))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 l (PI.f64))
	0.2b	(*.f64 (PI.f64) l)
	0.8b	(/.f64 1 (*.f64 F F))
✓	8.3b	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))

Compiler

Compiled 42 to 16 computations (61.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	l	@	-inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))

rewrite96.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best_oopsla_all_46_json_45_simplify-80`
850×	`rational_best_oopsla_all_46_json_45_simplify-35`
768×	`rational_best_oopsla_all_46_json_45_simplify-89`
620×	`rational_best_oopsla_all_46_json_45_simplify-23`
618×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	74	36
2	274	36
3	1313	36
4	5918	36

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))

Outputs

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simplify111.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1636×	`rational_best_oopsla_all_46_json_45_simplify-13`
1210×	`rational_best_oopsla_all_46_json_45_simplify-10`
726×	`rational_best_oopsla_all_46_json_45_simplify-23`
720×	`rational_best_oopsla_all_46_json_45_simplify-72`
506×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	3063
1	502	3063
2	2252	3055
3	5897	3039

Stop Event

1×	node limit

Counts

101 → 101

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64))) 1)
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(/.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F))))))
(/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F))))))
(/.f64 (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) l) (.f64 (/.f64 1 (*.f64 F F)) l)))
(/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F))) (/.f64 (.f64 l (/.f64 1 (.f64 F F))) (.f64 l (/.f64 1 (*.f64 F F)))))
(/.f64 (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (/.f64 (.f64 l (/.f64 1 (.f64 F F))) (.f64 l (/.f64 1 (*.f64 F F)))))
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(.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F)))
(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
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(/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F))) (/.f64 (/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F))) (.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F)))) (/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 F F))) (.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F))))))
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(/.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))) (/.f64 (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 l (.f64 (PI.f64) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))))) (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 l (.f64 (PI.f64) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (*.f64 F F))))))))
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(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
(neg.f64 (.f64 1 (.f64 (/.f64 1 (.f64 F F)) (.f64 l (neg.f64 (PI.f64))))))
(.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F)))
(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
(neg.f64 (.f64 l (.f64 (/.f64 1 (*.f64 F F)) (neg.f64 (PI.f64)))))
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(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
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(.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F)))
(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
(neg.f64 (.f64 (neg.f64 l) (.f64 (/.f64 1 (*.f64 F F)) (PI.f64))))
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(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
(neg.f64 (.f64 -1 (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64)))))
(.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F)))
(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
(neg.f64 (.f64 (.f64 (/.f64 1 (*.f64 F F)) (neg.f64 (PI.f64))) l))
(.f64 (.f64 l (PI.f64)) (/.f64 1 (*.f64 F F)))
(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
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(+.f64 (.f64 0 (.f64 l (/.f64 (PI.f64) l))) (*.f64 l (PI.f64)))
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(+.f64 (.f64 0 (.f64 (/.f64 l l) (.f64 (PI.f64) (/.f64 l l)))) (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(+.f64 (.f64 0 (.f64 l (/.f64 (PI.f64) (PI.f64)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(-.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(-.f64 0 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 0 (.f64 (/.f64 l l) (.f64 l (neg.f64 (PI.f64)))))
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(-.f64 0 (.f64 (/.f64 (.f64 l (PI.f64)) (.f64 l (PI.f64))) (.f64 l (neg.f64 (PI.f64)))))
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(-.f64 0 (.f64 (.f64 (/.f64 l l) (neg.f64 (PI.f64))) l))
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(/.f64 (*.f64 l (PI.f64)) 1)
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(/.f64 (*.f64 l (PI.f64)) (/.f64 (PI.f64) (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (*.f64 l (PI.f64)) (/.f64 (/.f64 l l) (/.f64 l l)))
(*.f64 l (PI.f64))
(/.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (PI.f64) (/.f64 l l)) (*.f64 (PI.f64) (/.f64 l l))))
(*.f64 l (PI.f64))
(/.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 l (PI.f64))) (/.f64 (.f64 l (PI.f64)) (*.f64 l (PI.f64)))))
(/.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (/.f64 l l) (.f64 (PI.f64) (/.f64 l l))) (.f64 (/.f64 l l) (*.f64 (PI.f64) (/.f64 l l)))))
(/.f64 (.f64 l (PI.f64)) (/.f64 (.f64 (PI.f64) (.f64 (/.f64 l l) (/.f64 l l))) (.f64 (PI.f64) (*.f64 (/.f64 l l) (/.f64 l l)))))
(/.f64 (.f64 l (PI.f64)) (/.f64 (.f64 l (/.f64 (PI.f64) (PI.f64))) (*.f64 l (/.f64 (PI.f64) (PI.f64)))))
(/.f64 (.f64 l (PI.f64)) (/.f64 (.f64 l (/.f64 (PI.f64) l)) (*.f64 l (/.f64 (PI.f64) l))))
(/.f64 (*.f64 l (neg.f64 (PI.f64))) -1)
(*.f64 l (PI.f64))
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(neg.f64 (.f64 (/.f64 l l) (.f64 l (neg.f64 (PI.f64)))))
(*.f64 l (PI.f64))
(neg.f64 (.f64 (/.f64 (.f64 l (PI.f64)) (.f64 l (PI.f64))) (.f64 l (neg.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 (.f64 l (PI.f64)) (.f64 l (PI.f64))) (.f64 (PI.f64) (neg.f64 l))))
(.f64 (/.f64 (.f64 l (PI.f64)) (.f64 l (PI.f64))) (.f64 l (PI.f64)))
(neg.f64 (.f64 (.f64 (/.f64 l l) (neg.f64 (PI.f64))) l))
(*.f64 l (PI.f64))

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	0.2b	(*.f64 l (PI.f64))
	0.2b	(*.f64 (PI.f64) l)
✓	8.6b	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))

Compiler

Compiled 33 to 15 computations (54.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms	F	@	inf	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms	l	@	-inf	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms	l	@	-inf	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
0.0ms	F	@	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))

rewrite147.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`rational_best_oopsla_all_46_json_45_simplify-7`
718×	`rational_best_oopsla_all_46_json_45_simplify-80`
652×	`rational_best_oopsla_all_46_json_45_simplify-35`
604×	`rational_best_oopsla_all_46_json_45_simplify-108`
526×	`rational_best_oopsla_all_46_json_45_simplify-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	72	56
2	207	56
3	864	56
4	4381	56
5	7902	56

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))

Outputs

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simplify105.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational_best_oopsla_all_46_json_45_simplify-36`
1128×	`rational_best_oopsla_all_46_json_45_simplify-49`
906×	`rational_best_oopsla_all_46_json_45_simplify-23`
636×	`rational_best_oopsla_all_46_json_45_simplify-89`
554×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	202	3868
1	778	3560
2	4359	3560

Stop Event

1×	node limit

Counts

118 → 104

Calls

Call 1

Inputs
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(/.f64 (-.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (.f64 l (PI.f64))) -1)
(+.f64 (.f64 l (PI.f64)) (neg.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(neg.f64 (-.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (.f64 l (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))

localize118.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(/.f64 1 (*.f64 F F))
✓	4.6b	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (*.f64 (PI.f64) l)))
✓	26.1b	(.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (*.f64 F F))))
	28.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 112 to 53 computations (52.7% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	F	@	0	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	F	@	-inf	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	l	@	-inf	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	F	@	inf	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (*.f64 (PI.f64) l)))

rewrite103.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1464×	`rational_best_oopsla_all_46_json_45_simplify-23`
1238×	`rational_best_oopsla_all_46_json_45_simplify-13`
992×	`rational_best_oopsla_all_46_json_45_simplify-37`
934×	`rational_best_oopsla_all_46_json-2`
934×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	109	68
2	413	68
3	2077	68

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (*.f64 (PI.f64) l)))

Outputs

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simplify123.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational_best_oopsla_all_46_json_45_simplify-23`
1414×	`rational_best_oopsla_all_46_json_45_simplify-49`
966×	`rational_best_oopsla_all_46_json_45_simplify-89`
914×	`rational_best_oopsla_all_46_json_45_simplify-37`
858×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	359	7450
1	1237	7266
2	4486	7266

Stop Event

1×	node limit

Counts

176 → 167

Calls

Call 1

Inputs
1
1
1
1
1
1
1
1
1
1
1
1
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Outputs
1
1
1
1
1
1
1
1
1
1
1
1
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
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(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(-.f64 (.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))) 0)
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
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(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
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(.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64))))))
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(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))) 1)
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (*.f64 F F))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
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(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (/.f64 (/.f64 1 (/.f64 1 (.f64 F F))) (/.f64 1 (/.f64 1 (*.f64 F F)))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
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(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 -1 (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 -1 (/.f64 1 (*.f64 F F))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (*.f64 F F))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (*.f64 F F)))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (*.f64 F F))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (/.f64 (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (tan.f64 (.f64 l (PI.f64)))) (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (tan.f64 (*.f64 l (PI.f64))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (.f64 F F)))) (neg.f64 (neg.f64 (/.f64 1 (*.f64 F F))))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (/.f64 (/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64))))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64)))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l)))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 l (PI.f64)))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (tan.f64 (.f64 l (PI.f64))))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (tan.f64 (*.f64 l (PI.f64)))))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (/.f64 1 (.f64 F F))))) (.f64 (/.f64 1 (.f64 F F)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (/.f64 1 (*.f64 F F)))))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F))))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))) (.f64 (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (*.f64 F F)))))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
	0.8b	(/.f64 1 (*.f64 F F))
✓	4.6b	(.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (tan.f64 (*.f64 (PI.f64) l))))
	28.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 102 to 33 computations (67.6% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	l	@	-inf	(.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (tan.f64 (*.f64 (PI.f64) l))))

rewrite185.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`rational_best_oopsla_all_46_json_45_simplify-23`
1376×	`rational_best_oopsla_all_46_json_45_simplify-13`
1090×	`rational_best_oopsla_all_46_json_45_simplify-37`
1010×	`rational_best_oopsla_all_46_json-2`
1010×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	110
1	110	68
2	448	68
3	2314	68

Stop Event

1×	node limit

Counts

2 → 160

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (*.f64 F F)) (*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (tan.f64 (*.f64 (PI.f64) l))))

(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))

Outputs

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simplify289.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1464×	`rational_best_oopsla_all_46_json_45_simplify-49`
1214×	`rational_best_oopsla_all_46_json_45_simplify-13`
1086×	`rational_best_oopsla_all_46_json_45_simplify-89`
980×	`rational_best_oopsla_all_46_json_45_simplify-24`
888×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	398	7590
1	1364	7414
2	5221	7414

Stop Event

1×	node limit

Counts

196 → 179

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(-.f64 (.f64 (.f64 0 (/.f64 -1 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (.f64 (PI.f64) l))))) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 (/.f64 0 (tan.f64 (.f64 (PI.f64) l))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l))))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (.f64 0 (/.f64 -1 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l)))))) (.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 (/.f64 0 (tan.f64 (.f64 (PI.f64) l))) -1) (.f64 -1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l)))) -1) 0)
(-.f64 (.f64 0 (neg.f64 (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l)))))) (.f64 (neg.f64 (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))))) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))))) (.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) 0))
(-.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))) (.f64 (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))) 0))
(-.f64 (.f64 (.f64 0 (/.f64 -1 (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))) (.f64 (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 0 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l)))))) (.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 0 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (.f64 (PI.f64) l))))) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 0 (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))) (.f64 (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))) (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) 1)
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l)))) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (.f64 (PI.f64) l)))) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))))) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (neg.f64 (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (.f64 (PI.f64) l))))) (neg.f64 (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))) (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l)))) -1)
(neg.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l)))))
(fabs.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(fabs.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l)))))

Outputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) -1/2))))
(+.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) 1/3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (+.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) -1/2)))) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)) 1/24) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/2)) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)))
(+.f64 (+.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) 1/3))) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)) 1/24) (.f64 -1/2 (/.f64 (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)))
(+.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (+.f64 (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) 1/3)) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)) 1/24) (.f64 -1/2 (/.f64 (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (pow.f64 F 2))) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2)) -1/720) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (+.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) -1/2)))) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)) 1/24) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5))))
(+.f64 (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) 1/3)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)))))) (pow.f64 F 2))) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2)) -1/720) (.f64 1/24 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)) 1/24) (.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
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(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))) (neg.f64 (neg.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1 (tan.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l)))) -1)
(.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1 (tan.f64 (*.f64 l (PI.f64)))))
(neg.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1 (tan.f64 (*.f64 l (PI.f64)))))
(fabs.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1 (tan.f64 (*.f64 l (PI.f64)))))
(fabs.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1 (tan.f64 (*.f64 l (PI.f64)))))

eval567.0ms (6.7%)

Compiler: Compiled 42073 to 18118 computations (56.9% saved)

prune540.0ms (6.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	1085	4	1089
Fresh	0	0	0
Picked	1	0	1
Done	3	2	5
Total	1089	6	1095

Error

4.6b

Counts

1095 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
✓	14.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	20.4b	(-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))
▶	20.4b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
▶	14.3b	(*.f64 l (PI.f64))
▶	53.5b	(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))

Compiler

Compiled 72 to 50 computations (30.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
	8.6b	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))

Compiler

Compiled 27 to 14 computations (48.1% saved)

localize102.0ms (1.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (PI.f64) (pow.f64 F 2))
✓	4.7b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))

Compiler

Compiled 30 to 18 computations (40% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
0.0ms	F	@	0	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
0.0ms	l	@	inf	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
0.0ms	F	@	inf	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
0.0ms	l	@	-inf	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))

rewrite77.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1842×	`rational_best_oopsla_all_46_json-2`
1842×	`rational_best_oopsla_all_46_json-1`
1842×	`rational_best_oopsla_all_46_json-4`
1842×	`rational_best_oopsla_all_46_json-3`
620×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	69	44
2	231	44
3	973	44
4	4101	44

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))

Outputs

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simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1272×	`rational_best_oopsla_all_46_json_45_simplify-13`
1226×	`rational_best_oopsla_all_46_json_45_simplify-37`
806×	`rational_best_oopsla_all_46_json_45_simplify-72`
698×	`rational_best_oopsla_all_46_json_45_simplify-49`
690×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	140	2619
1	492	2587
2	2360	2587

Stop Event

1×	node limit

Counts

77 → 78

Calls

Call 1

Inputs
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(.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))))
(*.f64 1 (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 -1 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (PI.f64) (pow.f64 F 2)))
(.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 1 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))))))
(.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))))))
(*.f64 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))) -1)
(*.f64 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))) (neg.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))))
(.f64 (.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 1 (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (PI.f64) (pow.f64 F 2)))
(.f64 (.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (PI.f64) (pow.f64 F 2)))
(*.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))) (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))))
(neg.f64 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))))

Outputs
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(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
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(*.f64 l (PI.f64))
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(/.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (.f64 (/.f64 l l) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 l l))) (.f64 (/.f64 l l) (*.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 l l)))))
(/.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))) (.f64 (/.f64 l l) (/.f64 l l))) (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))) (*.f64 (/.f64 l l) (/.f64 l l)))))
(/.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (.f64 l (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))) (*.f64 l (/.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))) (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(/.f64 (*.f64 l (-.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (PI.f64))) -1)
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(neg.f64 (*.f64 l (-.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (PI.f64))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(+.f64 (/.f64 (PI.f64) (pow.f64 F 2)) 0)
(/.f64 (PI.f64) (pow.f64 F 2))
(+.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (*.f64 0 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))))
(/.f64 (PI.f64) (pow.f64 F 2))
(+.f64 0 (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (PI.f64) (pow.f64 F 2))
(+.f64 (*.f64 0 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (PI.f64) (pow.f64 F 2))
(-.f64 (/.f64 (PI.f64) (pow.f64 F 2)) 0)
(/.f64 (PI.f64) (pow.f64 F 2))
(-.f64 0 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 (/.f64 (PI.f64) (pow.f64 F 2)) 1)
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 1 (/.f64 (PI.f64) (pow.f64 F 2)))))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (PI.f64) (pow.f64 F 2)))))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (.f64 (*.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 1 (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (.f64 (*.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 1 (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 -1 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 1 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))))))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))))))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))) -1)
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))) (neg.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 1 (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (PI.f64) (pow.f64 F 2))
(.f64 (.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2))) (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))) (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 (neg.f64 (/.f64 (/.f64 (PI.f64) (pow.f64 F 2)) (/.f64 (PI.f64) (pow.f64 F 2)))) (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))
(neg.f64 (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))))
(/.f64 (PI.f64) (pow.f64 F 2))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
	0.2b	(*.f64 (PI.f64) l)
	0.8b	(/.f64 1 (*.f64 F F))
✓	8.2b	(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))

Compiler

Compiled 46 to 20 computations (56.5% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
0.0ms	l	@	-inf	(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
0.0ms	l	@	inf	(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
0.0ms	F	@	inf	(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
0.0ms	F	@	-inf	(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))

rewrite98.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1154×	`rational_best_oopsla_all_46_json_45_simplify-80`
850×	`rational_best_oopsla_all_46_json_45_simplify-35`
770×	`rational_best_oopsla_all_46_json_45_simplify-89`
620×	`rational_best_oopsla_all_46_json_45_simplify-23`
618×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	74	48
2	274	48
3	1322	48
4	5928	48

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

Inputs
(.f64 l (.f64 (PI.f64) (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))

Outputs

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simplify190.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1230×	`rational_best_oopsla_all_46_json_45_simplify-10`
1202×	`rational_best_oopsla_all_46_json_45_simplify-30`
1074×	`rational_best_oopsla_all_46_json_45_simplify-37`
702×	`rational_best_oopsla_all_46_json_45_simplify-72`
654×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	3747
1	523	3747
2	2262	3739
3	5784	3735

Stop Event

1×	node limit

Counts

113 → 99

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(-.f64 0 (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F))))))
(neg.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (neg.f64 (/.f64 1 (*.f64 F F))))))
(neg.f64 (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (*.f64 F F)) (neg.f64 (PI.f64)))))
(neg.f64 (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F))))))
(-.f64 (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (.f64 (PI.f64) (/.f64 1 (*.f64 F F)))) 0)
(-.f64 0 (.f64 (.f64 (/.f64 1 (*.f64 F F)) (neg.f64 (/.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) 1)
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (PI.f64) (PI.f64)))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (/.f64 (PI.f64) (PI.f64))) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (PI.f64) (PI.f64)))))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64)))) (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 (PI.f64) (PI.f64)) (/.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F))))))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (.f64 (PI.f64) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F)))) (.f64 (PI.f64) (/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 F F))))))
(/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (/.f64 (.f64 (PI.f64) (/.f64 (/.f64 1 (.f64 F F)) (PI.f64))) (.f64 (PI.f64) (/.f64 (/.f64 1 (.f64 F F)) (PI.f64)))))
(/.f64 (.f64 (PI.f64) (neg.f64 (/.f64 1 (.f64 F F)))) -1)
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(neg.f64 (.f64 (PI.f64) (neg.f64 (/.f64 1 (.f64 F F)))))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(neg.f64 (.f64 (/.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F))))))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(neg.f64 (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F))))))
(neg.f64 (.f64 (PI.f64) (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (neg.f64 (/.f64 1 (*.f64 F F))))))
(neg.f64 (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (.f64 (/.f64 1 (*.f64 F F)) (neg.f64 (PI.f64)))))
(-.f64 (.f64 (/.f64 (.f64 (PI.f64) (/.f64 1 (.f64 F F))) (.f64 (PI.f64) (/.f64 1 (.f64 F F)))) (.f64 (PI.f64) (/.f64 1 (*.f64 F F)))) 0)
(neg.f64 (.f64 (.f64 (/.f64 1 (*.f64 F F)) (neg.f64 (/.f64 (PI.f64) (PI.f64)))) (PI.f64)))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))

eval154.0ms (1.8%)

Compiler: Compiled 7727 to 3505 computations (54.6% saved)

prune65.0ms (0.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	337	1	338
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	337	7	344

Error

4.6b

Counts

344 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
✓	14.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
✓	20.4b	(-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))
▶	20.4b	(-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 l)) (PI.f64))))
✓	20.4b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
✓	14.3b	(*.f64 l (PI.f64))
✓	53.5b	(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))

Compiler

Compiled 89 to 62 computations (30.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (/.f64 1 (*.f64 F F)) (neg.f64 l)) (PI.f64))
	0.2b	(*.f64 (PI.f64) l)
	0.8b	(/.f64 1 (*.f64 F F))
✓	8.2b	(.f64 (/.f64 1 (.f64 F F)) (neg.f64 l))

Compiler

Compiled 63 to 27 computations (57.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (neg.f64 l))
1.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (neg.f64 l))
0.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (neg.f64 l))
0.0ms	l	@	-inf	(.f64 (/.f64 1 (.f64 F F)) (neg.f64 l))
0.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (neg.f64 l))

rewrite112.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

996×	`rational_best_oopsla_all_46_json_45_simplify-35`
858×	`rational_best_oopsla_all_46_json_45_simplify-89`
842×	`rational_best_oopsla_all_46_json_45_simplify-23`
724×	`rational_best_oopsla_all_46_json_45_simplify-13`
690×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
1	85	54
2	295	54
3	1525	54
4	6804	54

Stop Event

1×	node limit

Counts

2 → 114

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 F F)) (neg.f64 l))
(.f64 (.f64 (/.f64 1 (*.f64 F F)) (neg.f64 l)) (PI.f64))

Outputs

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neg.f64 (*.f64 (/.f64 (*.f64 (/.f64 1 (*.f64 F F)) l) (*.f64 (/.f64 1 (*.f64 F F)) l)) (*.f64 (PI.f64) (*.f64 (/.f64 1 (*.f64 F F)) l))))))))

simplify136.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1610×	`rational_best_oopsla_all_46_json_45_simplify-13`
1148×	`rational_best_oopsla_all_46_json_45_simplify-10`
976×	`rational_best_oopsla_all_46_json_45_simplify-23`
886×	`rational_best_oopsla_all_46_json_45_simplify-72`
476×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	5810
1	602	5714
2	2158	5714
3	6229	5690

Stop Event

1×	node limit

Counts

162 → 162

Calls

Call 1

Inputs
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(.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F)))))
(neg.f64 (.f64 (PI.f64) (.f64 (/.f64 1 (*.f64 F F)) l)))
(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (neg.f64 (PI.f64))))
(.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F)))))
(neg.f64 (.f64 1 (.f64 (PI.f64) (.f64 (/.f64 1 (.f64 F F)) l))))
(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (neg.f64 (PI.f64))))
(.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F)))))
(neg.f64 (.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64))))
(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (neg.f64 (PI.f64))))
(.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F)))))
(neg.f64 (.f64 -1 (.f64 (/.f64 1 (.f64 F F)) (.f64 l (neg.f64 (PI.f64))))))
(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (neg.f64 (PI.f64))))
(.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F)))))
(neg.f64 (.f64 (/.f64 (.f64 (/.f64 1 (.f64 F F)) l) (.f64 (/.f64 1 (.f64 F F)) l)) (.f64 (PI.f64) (.f64 (/.f64 1 (.f64 F F)) l))))
(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (neg.f64 (PI.f64))))
(.f64 (neg.f64 (PI.f64)) (.f64 l (/.f64 1 (*.f64 F F))))
(.f64 l (.f64 (PI.f64) (neg.f64 (/.f64 1 (*.f64 F F)))))

eval69.0ms (0.8%)

Compiler: Compiled 7037 to 3144 computations (55.3% saved)

prune44.0ms (0.5%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	223	8	231

Error

4.6b

Counts

231 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
✓	14.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
✓	20.4b	(-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))
✓	20.4b	(-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 l)) (PI.f64))))
	20.0b	(-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (neg.f64 (/.f64 l (pow.f64 F 2))) (PI.f64))))
✓	20.4b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
✓	14.3b	(*.f64 l (PI.f64))
✓	53.5b	(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))

Compiler

Compiled 104 to 73 computations (29.8% saved)

regimes109.0ms (1.3%)

Counts

12 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 l)) (PI.f64))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (neg.f64 (/.f64 l (pow.f64 F 2))) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (tan.f64 (.f64 (PI.f64) l)))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (PI.f64))

Calls

6 calls:

21.0ms	F
21.0ms	l
20.0ms	(*.f64 (PI.f64) l)
19.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
14.0ms	(*.f64 F F)

Results

Error	Segments	Branch
7.7b	3	`F`
4.9b	3	`l`
5.7b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
4.9b	3	`(*.f64 (PI.f64) l)`
8.0b	2	`(/.f64 1 (*.f64 F F))`
8.0b	2	`(*.f64 F F)`

Compiler

Compiled 213 to 100 computations (53.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.66490618677754e-35	2.6687491023717592e+22
0.0ms	-117610091.67769238	-88005.51749041278

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes67.0ms (0.8%)

Counts

6 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 l)) (PI.f64))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 l)) (PI.f64))))
(*.f64 l (PI.f64))

Calls

4 calls:

20.0ms	(*.f64 F F)
16.0ms	(/.f64 1 (*.f64 F F))
15.0ms	F
14.0ms	l

Results

Error	Segments	Branch
12.0b	2	`F`
5.3b	3	`l`
11.6b	4	`(/.f64 1 (*.f64 F F))`
10.5b	6	`(*.f64 F F)`

Compiler

Compiled 81 to 43 computations (46.9% saved)

bsearch58.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
34.0ms	8.482659850036383e-36	8.494892230290482e+21
23.0ms	-3.7397543367413793e-13	-2.6308715584677835e-16

Results

44.0ms	320×	body	256	valid
9.0ms	64×	body	256	infinite

Compiler

Compiled 501 to 374 computations (25.3% saved)

regimes54.0ms (0.6%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Calls

4 calls:

17.0ms	(*.f64 F F)
13.0ms	(/.f64 1 (*.f64 F F))
11.0ms	l
11.0ms	F

Results

Error	Segments	Branch
12.0b	2	`F`
5.3b	3	`l`
11.6b	4	`(/.f64 1 (*.f64 F F))`
10.5b	6	`(*.f64 F F)`

Compiler

Compiled 57 to 31 computations (45.6% saved)

bsearch63.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	8.482659850036383e-36	8.494892230290482e+21
23.0ms	-3.7397543367413793e-13	-2.6308715584677835e-16

Results

46.0ms	320×	body	256	valid
11.0ms	78×	body	256	infinite

Compiler

Compiled 461 to 334 computations (27.5% saved)

regimes58.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F)))))
(*.f64 l (PI.f64))

Calls

4 calls:

23.0ms	(/.f64 1 (*.f64 F F))
15.0ms	(*.f64 F F)
10.0ms	l
9.0ms	F

Results

Error	Segments	Branch
12.0b	2	`F`
5.3b	3	`l`
11.6b	4	`(/.f64 1 (*.f64 F F))`
10.5b	6	`(*.f64 F F)`

Compiler

Compiled 44 to 27 computations (38.6% saved)

bsearch51.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	8.482659850036383e-36	8.494892230290482e+21
17.0ms	-3.7397543367413793e-13	-2.6308715584677835e-16

Results

38.0ms	288×	body	256	valid
9.0ms	68×	body	256	infinite

Compiler

Compiled 417 to 302 computations (27.6% saved)

regimes14.0ms (0.2%)

Accuracy

Total -50.9b remaining (-436%)

Threshold costs -50.9b (-436%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))

Outputs
(*.f64 l (PI.f64))
(neg.f64 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 l (PI.f64))

Calls

2 calls:

10.0ms	F
3.0ms	l

Results

Error	Segments	Branch
11.7b	3	`F`
14.3b	1	`l`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch59.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	-2.453997391104919e-107	-1.8525983853840672e-110
21.0ms	-1.416858144379897e-23	-2.3939046069574835e-24

Results

36.0ms	87×	body	1024	valid
16.0ms	123×	body	256	valid
4.0ms	14×	body	512	valid

Compiler

Compiled 259 to 210 computations (18.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	396

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -100000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4676805239458889/93536104789177786765035829293842113257979682750464) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))) (.f64 l (PI.f64))))
(if (<=.f64 l -7328605032569451/19807040628566084398385987584) (.f64 l (PI.f64)) (if (<=.f64 l 5/2) (-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 l)) (PI.f64)))) (.f64 l (PI.f64))))
(if (<=.f64 l -7328605032569451/19807040628566084398385987584) (.f64 l (PI.f64)) (if (<=.f64 l 5/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64)))) (.f64 l (PI.f64))))
(if (<=.f64 l -5942112188569825/19807040628566084398385987584) (.f64 l (PI.f64)) (if (<=.f64 l 5/2) (-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F))))) (.f64 l (PI.f64))))
(if (<=.f64 F -1973637728141443/340282366920938463463374607431768211456) (.f64 l (PI.f64)) (if (<=.f64 F -2379801487644895/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (neg.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -100000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 4676805239458889/93536104789177786765035829293842113257979682750464) (-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))) (.f64 l (PI.f64))))
(if (<=.f64 l -7328605032569451/19807040628566084398385987584) (.f64 l (PI.f64)) (if (<=.f64 l 5/2) (-.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (.f64 (/.f64 1 (.f64 F F)) (neg.f64 l)) (PI.f64)))) (.f64 l (PI.f64))))
(if (<=.f64 l -7328605032569451/19807040628566084398385987584) (.f64 l (PI.f64)) (if (<=.f64 l 5/2) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64)))) (.f64 l (PI.f64))))
(if (<=.f64 l -5942112188569825/19807040628566084398385987584) (.f64 l (PI.f64)) (if (<=.f64 l 5/2) (-.f64 (.f64 (PI.f64) l) (.f64 l (.f64 (PI.f64) (/.f64 1 (.f64 F F))))) (.f64 l (PI.f64))))
(if (<=.f64 F -1973637728141443/340282366920938463463374607431768211456) (.f64 l (PI.f64)) (if (<=.f64 F -2379801487644895/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (neg.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Compiler

Compiled 149 to 85 computations (43% saved)

soundness0.0ms (0%)

end50.0ms (0.6%)

Compiler: Compiled 139 to 60 computations (56.8% saved)

Details

analyze313.0ms (3.7%)

sample3.0s (35.6%)

preprocess92.0ms (1.1%)

simplify136.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize15.0ms (0.2%)

series8.0ms (0.1%)

rewrite96.0ms (1.1%)

simplify161.0ms (1.9%)

eval128.0ms (1.5%)

prune33.0ms (0.4%)

localize22.0ms (0.3%)

series5.0ms (0.1%)

rewrite101.0ms (1.2%)

simplify101.0ms (1.2%)

localize16.0ms (0.2%)

series2.0ms (0%)

rewrite96.0ms (1.1%)

simplify111.0ms (1.3%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite147.0ms (1.7%)

simplify105.0ms (1.2%)

localize118.0ms (1.4%)

series1.0ms (0%)

rewrite103.0ms (1.2%)

simplify123.0ms (1.5%)

localize26.0ms (0.3%)

series1.0ms (0%)

rewrite185.0ms (2.2%)

simplify289.0ms (3.4%)

eval567.0ms (6.7%)

prune540.0ms (6.4%)

localize11.0ms (0.1%)

localize102.0ms (1.2%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite77.0ms (0.9%)

simplify86.0ms (1%)

localize16.0ms (0.2%)

series1.0ms (0%)

rewrite98.0ms (1.2%)

simplify190.0ms (2.2%)

eval154.0ms (1.8%)

prune65.0ms (0.8%)

localize22.0ms (0.3%)

series3.0ms (0%)

rewrite112.0ms (1.3%)

simplify136.0ms (1.6%)

eval69.0ms (0.8%)

prune44.0ms (0.5%)

regimes109.0ms (1.3%)

bsearch0.0ms (0%)

regimes67.0ms (0.8%)

bsearch58.0ms (0.7%)

regimes54.0ms (0.6%)

bsearch63.0ms (0.7%)

regimes58.0ms (0.7%)

bsearch51.0ms (0.6%)

regimes14.0ms (0.2%)

bsearch59.0ms (0.7%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end50.0ms (0.6%)

Profiling