Details

analyze12.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
50%	12.5%	12.5%	75%	0%	0%	0%	3
75%	18.7%	6.2%	75%	0%	0%	0%	4
87.5%	21.8%	3.1%	75%	0%	0%	0%	5
93.8%	23.4%	1.6%	75%	0%	0%	0%	6
93.8%	23.4%	1.6%	75%	0%	0%	0%	7
96.9%	24.2%	0.8%	75%	0%	0%	0%	8
96.9%	24.2%	0.8%	75%	0%	0%	0%	9
98.4%	24.6%	0.4%	75%	0%	0%	0%	10
98.4%	24.6%	0.4%	75%	0%	0%	0%	11
99.2%	24.8%	0.2%	75%	0%	0%	0%	12

Compiler

Compiled 20 to 14 computations (30% saved)

sample2.1s (39.5%)

Results

965.0ms	2086×	body	1024	valid
855.0ms	5165×	body	256	valid
308.0ms	1002×	body	512	valid
2.0ms	3×	body	2048	valid

Bogosity

preprocess46.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1096×	`rational_best-simplify-113`
688×	`rational_best-simplify-111`
666×	`rational_best-simplify-65`
658×	`rational_best-simplify-61`
616×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
1	54	66
2	313	66
3	1986	66
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 v (sin.f64 e)) (+.f64 1 (.f64 v (cos.f64 e))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (.f64 v (sin.f64 e)) (+.f64 1 (.f64 v (cos.f64 e))))

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational_best-simplify-1`
736×	`rational_best-simplify-18`
732×	`rational_best-simplify-20`
550×	`rational_best-simplify-113`
396×	`rational_best-simplify-126`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	33	33
2	172	33
3	1047	33
4	7103	33

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

eval0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% 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

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
✓	0.1b	(*.f64 e (sin.f64 v))
✓	0.2b	(*.f64 e (cos.f64 v))

Compiler

Compiled 34 to 12 computations (64.7% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
1.0ms	e	@	0	(*.f64 e (cos.f64 v))
1.0ms	v	@	0	(*.f64 e (sin.f64 v))
1.0ms	e	@	0	(*.f64 e (sin.f64 v))
0.0ms	v	@	inf	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

rewrite96.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`rational_best-simplify-1`
736×	`rational_best-simplify-18`
732×	`rational_best-simplify-20`
550×	`rational_best-simplify-113`
396×	`rational_best-simplify-126`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	55
1	33	55
2	172	55
3	1047	55
4	7103	55

Stop Event

1×	node limit

Counts

3 → 15

Calls

Call 1

Inputs
(*.f64 e (cos.f64 v))
(*.f64 e (sin.f64 v))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 e (cos.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 e (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 e (cos.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (cos.f64 v) (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 v) (neg.f64 e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 e (cos.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (cos.f64 v) (neg.f64 e)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 e (sin.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 e (sin.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 e (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 e (neg.f64 (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 e (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 e (neg.f64 (sin.f64 v))))))))
()

Outputs

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

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

()

simplify75.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1250×	`rational_best-simplify-61`
1230×	`rational_best-simplify-65`
1024×	`rational_best-simplify-3`
860×	`rational_best-simplify-62`
642×	`rational_best-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	148	3027
1	644	2991
2	3642	2935

Stop Event

1×	node limit

Counts

87 → 82

Calls

Call 1

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

Outputs
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
e
(+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e)
(+.f64 e (.f64 -1/2 (.f64 e (pow.f64 v 2))))
(+.f64 e (.f64 (pow.f64 v 2) (.f64 e -1/2)))
(+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) e)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e))
(+.f64 (.f64 -1/2 (.f64 e (pow.f64 v 2))) (+.f64 e (.f64 1/24 (.f64 e (pow.f64 v 4)))))
(+.f64 e (+.f64 (.f64 (pow.f64 v 2) (.f64 e -1/2)) (.f64 e (.f64 1/24 (pow.f64 v 4)))))
(+.f64 (.f64 -1/720 (.f64 (pow.f64 v 6) e)) (+.f64 (.f64 1/24 (.f64 (pow.f64 v 4) e)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) e)) e)))
(+.f64 (+.f64 e (.f64 -1/2 (.f64 e (pow.f64 v 2)))) (+.f64 (.f64 -1/720 (.f64 e (pow.f64 v 6))) (.f64 1/24 (.f64 e (pow.f64 v 4)))))
(+.f64 e (+.f64 (+.f64 (.f64 (pow.f64 v 2) (.f64 e -1/2)) (.f64 e (.f64 1/24 (pow.f64 v 4)))) (.f64 e (.f64 -1/720 (pow.f64 v 6)))))
(+.f64 e (+.f64 (.f64 e (.f64 -1/720 (pow.f64 v 6))) (+.f64 (.f64 (pow.f64 v 2) (.f64 e -1/2)) (.f64 e (.f64 1/24 (pow.f64 v 4))))))
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (cos.f64 v) e)
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 v e) (.f64 -1/6 (*.f64 e (pow.f64 v 3))))
(+.f64 (.f64 v e) (.f64 e (*.f64 -1/6 (pow.f64 v 3))))
(+.f64 (.f64 v e) (.f64 (pow.f64 v 3) (*.f64 e -1/6)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
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(/.f64 (.f64 (sin.f64 v) e) (+.f64 1 (.f64 (cos.f64 v) e)))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 (cos.f64 v) e)))
(+.f64 (*.f64 e (cos.f64 v)) 0)
(*.f64 (cos.f64 v) e)
(+.f64 0 (*.f64 e (cos.f64 v)))
(*.f64 (cos.f64 v) e)
(-.f64 (*.f64 e (cos.f64 v)) 0)
(*.f64 (cos.f64 v) e)
(-.f64 0 (*.f64 (cos.f64 v) (neg.f64 e)))
(*.f64 (cos.f64 v) e)
(/.f64 (*.f64 (cos.f64 v) (neg.f64 e)) -1)
(*.f64 (cos.f64 v) e)
(pow.f64 (*.f64 e (cos.f64 v)) 1)
(*.f64 (cos.f64 v) e)
(neg.f64 (*.f64 (cos.f64 v) (neg.f64 e)))
(*.f64 (cos.f64 v) e)
(+.f64 (*.f64 e (sin.f64 v)) 0)
(*.f64 e (sin.f64 v))
(+.f64 0 (*.f64 e (sin.f64 v)))
(*.f64 e (sin.f64 v))
(-.f64 (*.f64 e (sin.f64 v)) 0)
(*.f64 e (sin.f64 v))
(-.f64 0 (*.f64 e (neg.f64 (sin.f64 v))))
(*.f64 e (sin.f64 v))
(-.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))))
(.f64 e (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(/.f64 (*.f64 e (neg.f64 (sin.f64 v))) -1)
(*.f64 e (sin.f64 v))
(pow.f64 (*.f64 e (sin.f64 v)) 1)
(*.f64 e (sin.f64 v))
(neg.f64 (*.f64 e (neg.f64 (sin.f64 v))))
(*.f64 e (sin.f64 v))

eval37.0ms (0.7%)

Compiler: Compiled 2662 to 1640 computations (38.4% saved)

prune14.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Error

0.1b

Counts

83 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.3b	(/.f64 (*.f64 v e) (+.f64 e 1))
✓	0.2b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
▶	1.3b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
▶	0.4b	(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (pow.f64 (cos.f64 v) 3) (.f64 (sin.f64 v) (pow.f64 e 4))))
▶	0.8b	(-.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (*.f64 (sin.f64 v) (pow.f64 e 2))))

Compiler

Compiled 85 to 55 computations (35.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (*.f64 (sin.f64 v) (pow.f64 e 2))))
✓	0.1b	(.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))
✓	0.1b	(*.f64 (sin.f64 v) (pow.f64 e 2))
	0.1b	(*.f64 e (sin.f64 v))

Compiler

Compiled 45 to 20 computations (55.6% saved)

series6.0ms (0.1%)

Counts

3 → 52

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	v	@	inf	(*.f64 (sin.f64 v) (pow.f64 e 2))
1.0ms	v	@	0	(.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))
0.0ms	v	@	0	(-.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (*.f64 (sin.f64 v) (pow.f64 e 2))))
0.0ms	e	@	inf	(.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))
0.0ms	v	@	inf	(.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1278×	`rational_best-simplify-113`
464×	`rational_best-simplify-124`
460×	`rational_best-simplify-126`
428×	`rational_best-simplify-61`
426×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	87
1	47	77
2	208	77
3	1241	77

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) (pow.f64 e 2))
(.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))
(-.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (*.f64 (sin.f64 v) (pow.f64 e 2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))))) 0) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) 0) 0) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (+.f64 (.f64 (sin.f64 v) e) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (+.f64 0 (.f64 (sin.f64 v) e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 v) (.f64 -1 (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sin.f64 v)) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e) (neg.f64 (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 -1 (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))))) (+.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 1 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (-.f64 1 (.f64 1 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))))) (-.f64 4 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))))) (.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1)) (.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (sin.f64 v) (.f64 e e)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) (/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (sin.f64 v) e) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) 0) (/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (sin.f64 v) (neg.f64 e)) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0)) 0) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) e)) 0) (/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (sin.f64 v) (.f64 e e)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) (/.f64 (-.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))))) 0) (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) 0) 0) (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))))

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(cos.f64 v)) e)) 0)) 0) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) e)) 0) (/.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))))

simplify105.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

878×	`rational_best-simplify-1`
676×	`rational_best-simplify-21`
668×	`rational_best-simplify-18`
656×	`rational_best-simplify-20`
570×	`rational_best-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	225	5142
1	1089	4284
2	6671	4284

Stop Event

1×	node limit

Counts

98 → 106

Calls

Call 1

Inputs
(*.f64 v (pow.f64 e 2))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (*.f64 v (pow.f64 e 2)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) (pow.f64 e 2))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 v 7) (pow.f64 e 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) (pow.f64 e 2))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (*.f64 v (pow.f64 e 2)))))
(*.f64 v (pow.f64 e 2))
(+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2)))))
(+.f64 (.f64 v (pow.f64 e 2)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2)))) (.f64 (+.f64 (.f64 1/12 (pow.f64 e 2)) (+.f64 (.f64 1/24 (pow.f64 e 2)) (.f64 1/120 (pow.f64 e 2)))) (pow.f64 v 5))))
(+.f64 (.f64 v (pow.f64 e 2)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2)))) (+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/720 (pow.f64 e 2)) (+.f64 (.f64 -1/144 (pow.f64 e 2)) (+.f64 (.f64 -1/5040 (pow.f64 e 2)) (.f64 -1/240 (pow.f64 e 2)))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 e 2)) (+.f64 (.f64 1/24 (pow.f64 e 2)) (*.f64 1/120 (pow.f64 e 2)))) (pow.f64 v 5)))))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 e) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2))))) (*.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 e) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2))))) (+.f64 (.f64 (-.f64 (.f64 1/120 e) (+.f64 (.f64 1/12 (pow.f64 e 2)) (+.f64 (.f64 1/24 (pow.f64 e 2)) (.f64 1/120 (pow.f64 e 2))))) (pow.f64 v 5)) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 e) (+.f64 (.f64 -1/720 (pow.f64 e 2)) (+.f64 (.f64 -1/240 (pow.f64 e 2)) (+.f64 (.f64 -1/144 (pow.f64 e 2)) (.f64 -1/5040 (pow.f64 e 2)))))) (pow.f64 v 7)) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 -1/6 e) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2))))) (+.f64 (.f64 (-.f64 (.f64 1/120 e) (+.f64 (.f64 1/12 (pow.f64 e 2)) (+.f64 (.f64 1/24 (pow.f64 e 2)) (.f64 1/120 (pow.f64 e 2))))) (pow.f64 v 5)) (.f64 v (-.f64 e (pow.f64 e 2))))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v)))))
(+.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0)
(+.f64 0 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))
(-.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0)
(-.f64 0 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))
(-.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v)))))
(/.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) -1)
(pow.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 1)
(neg.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))
(if (!=.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))))) 0) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))
(if (!=.f64 0 0) (/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) 0) 0) (.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))
(+.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0)
(+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (*.f64 (sin.f64 v) e))
(+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (+.f64 (*.f64 (sin.f64 v) e) 0))
(+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (+.f64 0 (*.f64 (sin.f64 v) e)))
(+.f64 0 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (.f64 -1 (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(.f64 (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))) 1)
(.f64 (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) -1)
(.f64 -1 (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(.f64 (neg.f64 (sin.f64 v)) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))
(.f64 (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e) (neg.f64 (sin.f64 v)))
(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 -1 (neg.f64 (sin.f64 v))))
(/.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 1)
(/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) -1)
(/.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) -2)
(/.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (+.f64 (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1))
(/.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) 2)
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) -4)
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))))) (+.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1)))
(/.f64 (-.f64 (.f64 1 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (-.f64 1 (.f64 1 (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))))) (-.f64 4 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e))))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))))) (.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1)) (.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 1) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (-.f64 -1 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))))))
(pow.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 1)
(neg.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (sin.f64 v) (.f64 e e)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) (/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) e) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) 0) (/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (neg.f64 e)) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0)) 0) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) e)) 0) (/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (sin.f64 v) (.f64 e e)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))

Outputs
(*.f64 v (pow.f64 e 2))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (*.f64 v (pow.f64 e 2)))
(+.f64 (.f64 v (pow.f64 e 2)) (.f64 -1/6 (*.f64 (pow.f64 e 2) (pow.f64 v 3))))
(+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 e 2) (*.f64 (pow.f64 v 3) -1/6)))
(+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) (pow.f64 e 2))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 e 2) (pow.f64 v 3))) (+.f64 (.f64 v (pow.f64 e 2)) (.f64 1/120 (*.f64 (pow.f64 e 2) (pow.f64 v 5)))))
(+.f64 (.f64 (pow.f64 e 2) (.f64 (pow.f64 v 3) -1/6)) (+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 e 2) (*.f64 1/120 (pow.f64 v 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 v 7) (pow.f64 e 2))) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) (pow.f64 e 2))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (*.f64 v (pow.f64 e 2)))))
(+.f64 (+.f64 (.f64 v (pow.f64 e 2)) (.f64 -1/6 (.f64 (pow.f64 e 2) (pow.f64 v 3)))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 e 2) (pow.f64 v 7))) (.f64 1/120 (*.f64 (pow.f64 e 2) (pow.f64 v 5)))))
(+.f64 (.f64 (pow.f64 e 2) (.f64 (pow.f64 v 3) -1/6)) (+.f64 (+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 e 2) (.f64 1/120 (pow.f64 v 5)))) (.f64 (pow.f64 e 2) (*.f64 -1/5040 (pow.f64 v 7)))))
(+.f64 (.f64 (pow.f64 e 2) (.f64 (pow.f64 v 3) -1/6)) (+.f64 (.f64 (pow.f64 e 2) (.f64 -1/5040 (pow.f64 v 7))) (+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 e 2) (*.f64 1/120 (pow.f64 v 5))))))
(*.f64 v (pow.f64 e 2))
(+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2)))))
(+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 v 3) (+.f64 (.f64 (pow.f64 e 2) -1/2) (.f64 (pow.f64 e 2) -1/6))))
(+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) -1/6) (.f64 (pow.f64 e 2) 1/2))))
(+.f64 (.f64 v (pow.f64 e 2)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2)))) (.f64 (+.f64 (.f64 1/12 (pow.f64 e 2)) (+.f64 (.f64 1/24 (pow.f64 e 2)) (.f64 1/120 (pow.f64 e 2)))) (pow.f64 v 5))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) 1/12) (+.f64 (.f64 (pow.f64 e 2) 1/24) (.f64 (pow.f64 e 2) 1/120)))) (+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 v 3) (+.f64 (.f64 (pow.f64 e 2) -1/2) (.f64 (pow.f64 e 2) -1/6)))))
(+.f64 (.f64 v (pow.f64 e 2)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 (pow.f64 e 2) -1/2) (.f64 (pow.f64 e 2) -1/6))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) 1/120) (-.f64 (.f64 (pow.f64 e 2) 1/24) (.f64 (pow.f64 e 2) -1/12))))))
(+.f64 (.f64 v (pow.f64 e 2)) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) -1/6) (.f64 (pow.f64 e 2) 1/2))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) 1/12) (+.f64 (.f64 (pow.f64 e 2) 1/24) (.f64 (pow.f64 e 2) 1/120))))))
(+.f64 (.f64 v (pow.f64 e 2)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/2 (pow.f64 e 2)) (.f64 -1/6 (pow.f64 e 2)))) (+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/720 (pow.f64 e 2)) (+.f64 (.f64 -1/144 (pow.f64 e 2)) (+.f64 (.f64 -1/5040 (pow.f64 e 2)) (.f64 -1/240 (pow.f64 e 2)))))) (.f64 (+.f64 (.f64 1/12 (pow.f64 e 2)) (+.f64 (.f64 1/24 (pow.f64 e 2)) (*.f64 1/120 (pow.f64 e 2)))) (pow.f64 v 5)))))
(+.f64 (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) 1/12) (+.f64 (.f64 (pow.f64 e 2) 1/24) (.f64 (pow.f64 e 2) 1/120)))) (.f64 (pow.f64 v 7) (+.f64 (+.f64 (.f64 (pow.f64 e 2) -1/144) (.f64 (pow.f64 e 2) -1/5040)) (+.f64 (.f64 (pow.f64 e 2) -1/720) (.f64 (pow.f64 e 2) -1/240))))) (+.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 v 3) (+.f64 (.f64 (pow.f64 e 2) -1/2) (*.f64 (pow.f64 e 2) -1/6)))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) 1/120) (-.f64 (.f64 (pow.f64 e 2) 1/24) (.f64 (pow.f64 e 2) -1/12)))) (+.f64 (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 (pow.f64 e 2) -1/2) (.f64 (pow.f64 e 2) -1/6))) (.f64 (pow.f64 v 7) (+.f64 (+.f64 (.f64 (pow.f64 e 2) -1/144) (.f64 (pow.f64 e 2) -1/5040)) (+.f64 (.f64 (pow.f64 e 2) -1/720) (.f64 (pow.f64 e 2) -1/240))))) (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) 1/12) (+.f64 (.f64 (pow.f64 e 2) 1/24) (.f64 (pow.f64 e 2) 1/120)))) (+.f64 (.f64 v (pow.f64 e 2)) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) -1/6) (.f64 (pow.f64 e 2) 1/2))) (.f64 (pow.f64 v 7) (+.f64 (+.f64 (.f64 (pow.f64 e 2) -1/144) (.f64 (pow.f64 e 2) -1/240)) (+.f64 (.f64 (pow.f64 e 2) -1/720) (*.f64 (pow.f64 e 2) -1/5040)))))))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
(.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))
(.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v)))
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(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) e)) 0) (/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (sin.f64 v) (.f64 e e)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))))))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) e)) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 e e))) (pow.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v))) 2)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) e)) 0) (/.f64 (-.f64 (.f64 e (.f64 (sin.f64 v) (.f64 e (sin.f64 v)))) (pow.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) 2)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))

localize50.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 v) (pow.f64 e 2))
✓	0.1b	(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
✓	0.3b	(pow.f64 (cos.f64 v) 2)
✓	0.4b	(pow.f64 (cos.f64 v) 3)

Compiler

Compiled 149 to 82 computations (45% saved)

series10.0ms (0.2%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	e	@	inf	(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
1.0ms	v	@	0	(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
1.0ms	v	@	inf	(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
1.0ms	e	@	0	(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
1.0ms	v	@	inf	(pow.f64 (cos.f64 v) 3)

rewrite66.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`rational_best-simplify-96`
986×	`rational_best-simplify-61`
946×	`rational_best-simplify-65`
766×	`rational_best-simplify-3`
540×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	61
1	25	61
2	88	61
3	471	61
4	2891	61

Stop Event

1×	node limit

Counts

3 → 20

Calls

Call 1

Inputs
(pow.f64 (cos.f64 v) 3)
(pow.f64 (cos.f64 v) 2)
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))

Outputs

()

()

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (*.f64 (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) e) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (*.f64 (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))) (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) e)) 0) (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) (pow.f64 e 3)))) (*.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) e)))) (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) e))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (neg.f64 e)) 0) (/.f64 (*.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (sin.f64 v) e)) (*.f64 (sin.f64 v) e)) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) 0) (/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) (pow.f64 e 3)))) (*.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) e))) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3)))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (*.f64 (sin.f64 v) e) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3)))) 0) (/.f64 (-.f64 (*.f64 (sin.f64 v) (*.f64 e (*.f64 (sin.f64 v) e))) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) (pow.f64 e 3))))) (-.f64 (*.f64 (sin.f64 v) e) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 3)))) 0) (/.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) (pow.f64 e 3)))) (*.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) e))) (*.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3)))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) e) 0) (/.f64 (*.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (*.f64 (sin.f64 v) e)) (*.f64 (sin.f64 v) e)) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))))))

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational_best-simplify-61`
1032×	`rational_best-simplify-65`
976×	`rational_best-simplify-3`
910×	`rational_best-simplify-96`
696×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	2342
1	605	2324
2	3354	2312

Stop Event

1×	node limit

Counts

52 → 58

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 7/8 (pow.f64 v 4))))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -61/240 (pow.f64 v 6)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 v 2)))
(+.f64 (.f64 1/3 (pow.f64 v 4)) (+.f64 1 (.f64 -1 (pow.f64 v 2))))
(+.f64 (.f64 1/3 (pow.f64 v 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 v 2)) (*.f64 -2/45 (pow.f64 v 6)))))
(*.f64 (+.f64 (pow.f64 e 3) e) v)
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (+.f64 (pow.f64 e 3) e)) (.f64 -1 (pow.f64 e 3)))) (.f64 (+.f64 (pow.f64 e 3) e) v))
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 e 3)) (+.f64 (.f64 1/3 (pow.f64 e 3)) (.f64 1/120 (+.f64 (pow.f64 e 3) e)))) (pow.f64 v 5)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (+.f64 (pow.f64 e 3) e)) (.f64 -1 (pow.f64 e 3)))) (.f64 (+.f64 (pow.f64 e 3) e) v)))
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 e 3)) (+.f64 (.f64 1/3 (pow.f64 e 3)) (.f64 1/120 (+.f64 (pow.f64 e 3) e)))) (pow.f64 v 5)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (+.f64 (pow.f64 e 3) e)) (.f64 -1 (pow.f64 e 3)))) (+.f64 (.f64 (+.f64 (pow.f64 e 3) e) v) (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/5040 (+.f64 (pow.f64 e 3) e)) (+.f64 (.f64 -2/45 (pow.f64 e 3)) (+.f64 (.f64 -1/18 (pow.f64 e 3)) (*.f64 -1/120 (pow.f64 e 3)))))))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(+.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) 0)
(+.f64 0 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) e))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v))))))
(-.f64 0 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)))
(-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) (neg.f64 e)))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 3)))))
(-.f64 (.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))))
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e) (.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))) (.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))
(/.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) 1)
(/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)) -1)
(/.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e))) -2)
(neg.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)))
(if (!=.f64 (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) e)) 0) (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (sin.f64 v) (.f64 e (.f64 (sin.f64 v) e)))) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) e))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(if (!=.f64 (.f64 (sin.f64 v) (neg.f64 e)) 0) (/.f64 (.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(if (!=.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) 0) (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) e))) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(if (!=.f64 (-.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3)))) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 e (.f64 (sin.f64 v) e))) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (pow.f64 e 3))))) (-.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(if (!=.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 3)))) 0) (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) e))) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(if (!=.f64 (.f64 (sin.f64 v) e) 0) (/.f64 (.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))

Outputs
1
(+.f64 1 (*.f64 -3/2 (pow.f64 v 2)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (.f64 7/8 (pow.f64 v 4))))
(+.f64 (+.f64 1 (.f64 -3/2 (pow.f64 v 2))) (.f64 7/8 (pow.f64 v 4)))
(+.f64 1 (+.f64 (.f64 -3/2 (pow.f64 v 2)) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -61/240 (pow.f64 v 6)))))
(+.f64 (+.f64 1 (.f64 -3/2 (pow.f64 v 2))) (+.f64 (.f64 7/8 (pow.f64 v 4)) (*.f64 -61/240 (pow.f64 v 6))))
1
(+.f64 1 (*.f64 -1 (pow.f64 v 2)))
(+.f64 1 (*.f64 (pow.f64 v 2) -1))
(+.f64 1 (neg.f64 (pow.f64 v 2)))
(-.f64 1 (pow.f64 v 2))
(+.f64 (.f64 1/3 (pow.f64 v 4)) (+.f64 1 (.f64 -1 (pow.f64 v 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 v 2) -1) (.f64 (pow.f64 v 4) 1/3)))
(+.f64 (neg.f64 (pow.f64 v 2)) (-.f64 1 (*.f64 (pow.f64 v 4) -1/3)))
(-.f64 (-.f64 1 (pow.f64 v 2)) (*.f64 (pow.f64 v 4) -1/3))
(+.f64 (.f64 1/3 (pow.f64 v 4)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 v 2)) (*.f64 -2/45 (pow.f64 v 6)))))
(+.f64 1 (+.f64 (+.f64 (.f64 (pow.f64 v 2) -1) (.f64 (pow.f64 v 6) -2/45)) (*.f64 (pow.f64 v 4) 1/3)))
(+.f64 1 (+.f64 (.f64 (pow.f64 v 4) 1/3) (+.f64 (neg.f64 (pow.f64 v 2)) (.f64 (pow.f64 v 6) -2/45))))
(-.f64 (-.f64 (-.f64 1 (pow.f64 v 2)) (.f64 (pow.f64 v 4) -1/3)) (.f64 (pow.f64 v 6) 2/45))
(*.f64 (+.f64 (pow.f64 e 3) e) v)
(*.f64 v (+.f64 e (pow.f64 e 3)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (+.f64 (pow.f64 e 3) e)) (.f64 -1 (pow.f64 e 3)))) (.f64 (+.f64 (pow.f64 e 3) e) v))
(+.f64 (.f64 v (+.f64 e (pow.f64 e 3))) (.f64 (pow.f64 v 3) (+.f64 (*.f64 (+.f64 e (pow.f64 e 3)) -1/6) (neg.f64 (pow.f64 e 3)))))
(+.f64 (.f64 v (+.f64 e (pow.f64 e 3))) (.f64 (pow.f64 v 3) (-.f64 (*.f64 (+.f64 e (pow.f64 e 3)) -1/6) (pow.f64 e 3))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 e 3)) (+.f64 (.f64 1/3 (pow.f64 e 3)) (.f64 1/120 (+.f64 (pow.f64 e 3) e)))) (pow.f64 v 5)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (+.f64 (pow.f64 e 3) e)) (.f64 -1 (pow.f64 e 3)))) (.f64 (+.f64 (pow.f64 e 3) e) v)))
(+.f64 (.f64 v (+.f64 e (pow.f64 e 3))) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 e 3) 1/6) (+.f64 (.f64 1/3 (pow.f64 e 3)) (.f64 (+.f64 e (pow.f64 e 3)) 1/120))) (pow.f64 v 5)) (.f64 (pow.f64 v 3) (+.f64 (*.f64 (+.f64 e (pow.f64 e 3)) -1/6) (neg.f64 (pow.f64 e 3))))))
(+.f64 (.f64 v (+.f64 e (pow.f64 e 3))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 (+.f64 e (pow.f64 e 3)) -1/6) (pow.f64 e 3))) (.f64 (+.f64 (.f64 (+.f64 e (pow.f64 e 3)) 1/120) (+.f64 (.f64 (pow.f64 e 3) 1/6) (*.f64 1/3 (pow.f64 e 3)))) (pow.f64 v 5))))
(+.f64 (.f64 (+.f64 (.f64 1/6 (pow.f64 e 3)) (+.f64 (.f64 1/3 (pow.f64 e 3)) (.f64 1/120 (+.f64 (pow.f64 e 3) e)))) (pow.f64 v 5)) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (+.f64 (pow.f64 e 3) e)) (.f64 -1 (pow.f64 e 3)))) (+.f64 (.f64 (+.f64 (pow.f64 e 3) e) v) (.f64 (pow.f64 v 7) (+.f64 (.f64 -1/5040 (+.f64 (pow.f64 e 3) e)) (+.f64 (.f64 -2/45 (pow.f64 e 3)) (+.f64 (.f64 -1/18 (pow.f64 e 3)) (*.f64 -1/120 (pow.f64 e 3)))))))))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 (+.f64 e (pow.f64 e 3)) -1/6) (neg.f64 (pow.f64 e 3)))) (+.f64 (+.f64 (.f64 v (+.f64 e (pow.f64 e 3))) (.f64 (pow.f64 v 7) (+.f64 (.f64 (+.f64 e (pow.f64 e 3)) -1/5040) (+.f64 (.f64 -2/45 (pow.f64 e 3)) (+.f64 (.f64 (pow.f64 e 3) -1/18) (.f64 (pow.f64 e 3) -1/120)))))) (.f64 (+.f64 (.f64 (pow.f64 e 3) 1/6) (+.f64 (.f64 1/3 (pow.f64 e 3)) (.f64 (+.f64 e (pow.f64 e 3)) 1/120))) (pow.f64 v 5))))
(+.f64 (+.f64 (.f64 v (+.f64 e (pow.f64 e 3))) (.f64 (pow.f64 v 7) (+.f64 (.f64 (pow.f64 e 3) -1/18) (+.f64 (+.f64 (.f64 -2/45 (pow.f64 e 3)) (.f64 (pow.f64 e 3) -1/120)) (.f64 (+.f64 e (pow.f64 e 3)) -1/5040))))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 (+.f64 e (pow.f64 e 3)) -1/6) (pow.f64 e 3))) (.f64 (+.f64 (.f64 (+.f64 e (pow.f64 e 3)) 1/120) (+.f64 (.f64 (pow.f64 e 3) 1/6) (.f64 1/3 (pow.f64 e 3)))) (pow.f64 v 5))))
(+.f64 (.f64 v (+.f64 e (pow.f64 e 3))) (+.f64 (.f64 (+.f64 (.f64 (+.f64 e (pow.f64 e 3)) 1/120) (+.f64 (.f64 (pow.f64 e 3) 1/6) (.f64 1/3 (pow.f64 e 3)))) (pow.f64 v 5)) (-.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 (pow.f64 e 3) -1/18) (+.f64 (.f64 (+.f64 e (pow.f64 e 3)) -1/5040) (+.f64 (.f64 -2/45 (pow.f64 e 3)) (.f64 (pow.f64 e 3) -1/120))))) (.f64 (pow.f64 v 3) (+.f64 (pow.f64 e 3) (.f64 (+.f64 e (pow.f64 e 3)) 1/6))))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)) e) (sin.f64 v))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))
(.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 e 3) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(.f64 (sin.f64 v) (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))
(.f64 (pow.f64 (cos.f64 v) 2) (.f64 (pow.f64 e 3) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) 0)
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 0 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (pow.f64 e 3))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(+.f64 (.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v))))))
(.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (*.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(-.f64 0 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (*.f64 (sin.f64 v) (neg.f64 e)))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(-.f64 (.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))))
(.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (*.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e) (.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))) (.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))
(.f64 (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))) (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (*.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(/.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) 1)
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)) -1)
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(/.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e))) -2)
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(neg.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (neg.f64 (pow.f64 e 3))) e)))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(if (!=.f64 (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) e)) 0) (/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (sin.f64 v) (.f64 e (.f64 (sin.f64 v) e)))) (-.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) e))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(if (!=.f64 (.f64 (sin.f64 v) (neg.f64 e)) 0) (/.f64 (.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(if (!=.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) 0) (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) e))) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(if (!=.f64 (-.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3)))) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 e (.f64 (sin.f64 v) e))) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (pow.f64 e 3))))) (-.f64 (.f64 (sin.f64 v) e) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(if (!=.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 3)))) 0) (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3))) (.f64 (sin.f64 v) e))) (.f64 (pow.f64 (cos.f64 v) 2) (.f64 (sin.f64 v) (pow.f64 e 3)))) (.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))
(if (!=.f64 (.f64 (sin.f64 v) e) 0) (/.f64 (.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))))
(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 3) (pow.f64 (cos.f64 v) 2))))

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
	0.1b	(*.f64 e (sin.f64 v))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
0.0ms	v	@	-inf	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
0.0ms	v	@	0	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
0.0ms	e	@	0	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
0.0ms	e	@	-inf	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))

rewrite88.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1046×	`rational_best-simplify-1`
722×	`rational_best-simplify-20`
722×	`rational_best-simplify-18`
488×	`rational_best-simplify-113`
396×	`rational_best-simplify-126`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	30	23
2	168	23
3	1025	23
4	6959	23

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))

Outputs
()

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

552×	`rational_best-simplify-126`
550×	`rational_best-simplify-124`
546×	`rational_best-simplify-127`
474×	`rational_best-simplify-65`
470×	`rational_best-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	61	992
1	210	968
2	1245	916

Stop Event

1×	node limit

Counts

24 → 37

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(+.f64 (.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) (.f64 (sin.f64 v) e)))
(+.f64 (.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 4))) (.f64 (sin.f64 v) e))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))

Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) (*.f64 (sin.f64 v) e))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 -1 (pow.f64 e 2))))
(+.f64 (.f64 (sin.f64 v) e) (neg.f64 (.f64 (sin.f64 v) (pow.f64 e 2))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (pow.f64 e 2)))
(+.f64 (.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) (.f64 (sin.f64 v) e)))
(+.f64 (.f64 (sin.f64 v) e) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 3)) (.f64 (sin.f64 v) (.f64 -1 (pow.f64 e 2)))))
(+.f64 (neg.f64 (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (-.f64 (neg.f64 (pow.f64 e 2)) (neg.f64 (pow.f64 e 3)))))
(+.f64 (.f64 (sin.f64 v) (pow.f64 e 3)) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 4))) (.f64 (sin.f64 v) e))))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (pow.f64 e 2))) (+.f64 (+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (.f64 -1 (pow.f64 e 4)))) (.f64 (sin.f64 v) (pow.f64 e 3))))
(+.f64 (+.f64 (.f64 (sin.f64 v) e) (neg.f64 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 3)) (neg.f64 (.f64 (sin.f64 v) (pow.f64 e 4)))))
(+.f64 (-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (pow.f64 e 4))) (*.f64 (sin.f64 v) (-.f64 (neg.f64 (pow.f64 e 2)) (neg.f64 (pow.f64 e 3)))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (sin.f64 v)))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) e)) (+.f64 (sin.f64 v) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (sin.f64 v) (-.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(sin.f64 v)
(+.f64 (sin.f64 v) (*.f64 -1 (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e)))
(-.f64 (sin.f64 v) (/.f64 (sin.f64 v) e))
(+.f64 (sin.f64 v) (+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (*.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (sin.f64 v)))
(+.f64 (neg.f64 (/.f64 (sin.f64 v) e)) (+.f64 (sin.f64 v) (/.f64 (sin.f64 v) (pow.f64 e 2))))
(+.f64 (sin.f64 v) (-.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (/.f64 (sin.f64 v) e)))
(+.f64 (sin.f64 v) (+.f64 (.f64 -1 (/.f64 (sin.f64 v) e)) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 -1 (/.f64 (sin.f64 v) (pow.f64 e 3))))))
(+.f64 (+.f64 (sin.f64 v) (neg.f64 (/.f64 (sin.f64 v) e))) (+.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (neg.f64 (/.f64 (sin.f64 v) (pow.f64 e 3)))))
(+.f64 (sin.f64 v) (-.f64 (-.f64 (/.f64 (sin.f64 v) (pow.f64 e 2)) (/.f64 (sin.f64 v) e)) (/.f64 (sin.f64 v) (pow.f64 e 3))))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 v 3) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))
(+.f64 (/.f64 (.f64 v e) (+.f64 e 1)) (.f64 -1/6 (/.f64 (*.f64 e (pow.f64 v 3)) (+.f64 e 1))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e))))
(+.f64 (/.f64 (.f64 v e) (+.f64 e 1)) (+.f64 (.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1))) (.f64 1/120 (/.f64 (*.f64 e (pow.f64 v 5)) (+.f64 e 1)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1))) (+.f64 (/.f64 (.f64 v e) (+.f64 e 1)) (.f64 1/120 (/.f64 (*.f64 e (pow.f64 v 5)) (+.f64 e 1)))))
(+.f64 (.f64 -1/5040 (/.f64 (.f64 (pow.f64 v 7) e) (+.f64 1 e))) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 v 3) e) (+.f64 1 e))) (+.f64 (.f64 1/120 (/.f64 (.f64 (pow.f64 v 5) e) (+.f64 1 e))) (/.f64 (*.f64 v e) (+.f64 1 e)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1))) (+.f64 (+.f64 (/.f64 (.f64 v e) (+.f64 e 1)) (.f64 1/120 (/.f64 (.f64 e (pow.f64 v 5)) (+.f64 e 1)))) (.f64 -1/5040 (/.f64 (*.f64 e (pow.f64 v 7)) (+.f64 e 1)))))
(+.f64 (+.f64 (.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1))) (.f64 1/120 (/.f64 (.f64 e (pow.f64 v 5)) (+.f64 e 1)))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 e (pow.f64 v 7)) (+.f64 e 1))) (/.f64 (*.f64 v e) (+.f64 e 1))))
(+.f64 (/.f64 (.f64 v e) (+.f64 e 1)) (+.f64 (.f64 1/120 (/.f64 (.f64 e (pow.f64 v 5)) (+.f64 e 1))) (+.f64 (.f64 -1/6 (/.f64 (.f64 e (pow.f64 v 3)) (+.f64 e 1))) (.f64 -1/5040 (/.f64 (*.f64 e (pow.f64 v 7)) (+.f64 e 1))))))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 1 e))
(/.f64 (*.f64 (sin.f64 v) e) (+.f64 e 1))

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (*.f64 v e) (+.f64 e 1))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (*.f64 v e) (+.f64 e 1))
1.0ms	v	@	inf	(/.f64 (*.f64 v e) (+.f64 e 1))
0.0ms	v	@	-inf	(/.f64 (*.f64 v e) (+.f64 e 1))
0.0ms	e	@	0	(/.f64 (*.f64 v e) (+.f64 e 1))
0.0ms	e	@	inf	(/.f64 (*.f64 v e) (+.f64 e 1))

rewrite82.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1042×	`rational_best-simplify-52`
846×	`rational_best-simplify-1`
574×	`rational_best-simplify-21`
570×	`rational_best-simplify-20`
570×	`rational_best-simplify-18`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	22	19
2	136	19
3	852	19
4	6059	19

Stop Event

1×	node limit

Counts

1 → 0

Calls

Call 1

Inputs
(/.f64 (*.f64 v e) (+.f64 e 1))

Outputs
()

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1212×	`rational_best-simplify-3`
944×	`rational_best-simplify-53`
836×	`rational_best-simplify-1`
588×	`rational_best-simplify-21`
580×	`rational_best-simplify-20`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	624
1	130	600
2	746	548
3	5029	548

Stop Event

1×	node limit

Counts

24 → 26

Calls

Call 1

Inputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 1 e))
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))

Outputs
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(/.f64 (*.f64 v e) (+.f64 1 e))
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 v (*.f64 -1 (pow.f64 e 2))))
(+.f64 (.f64 v e) (neg.f64 (.f64 v (pow.f64 e 2))))
(-.f64 (.f64 v e) (.f64 v (pow.f64 e 2)))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(+.f64 (.f64 v e) (+.f64 (.f64 v (.f64 -1 (pow.f64 e 2))) (.f64 v (pow.f64 e 3))))
(+.f64 (.f64 v e) (+.f64 (neg.f64 (.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 3))))
(-.f64 (.f64 v (-.f64 e (neg.f64 (pow.f64 e 3)))) (.f64 v (pow.f64 e 2)))
(+.f64 (.f64 v e) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
(+.f64 (.f64 v e) (+.f64 (.f64 v (.f64 -1 (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (.f64 -1 (.f64 v (pow.f64 e 4))))))
(+.f64 (.f64 v e) (+.f64 (neg.f64 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 v (pow.f64 e 3)) (neg.f64 (.f64 v (pow.f64 e 4))))))
(-.f64 (-.f64 (.f64 v (-.f64 e (neg.f64 (pow.f64 e 3)))) (.f64 v (pow.f64 e 2))) (*.f64 v (pow.f64 e 4)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 (neg.f64 (/.f64 v e)) (+.f64 v (/.f64 v (pow.f64 e 2))))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 v (pow.f64 e 2)))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (/.f64 v (pow.f64 e 2)) (.f64 -1 (/.f64 v (pow.f64 e 3))))))
(+.f64 v (+.f64 (neg.f64 (/.f64 v e)) (+.f64 (/.f64 v (pow.f64 e 2)) (neg.f64 (/.f64 v (pow.f64 e 3))))))
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 v (pow.f64 e 2)) (/.f64 v (pow.f64 e 3))))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (+.f64 (*.f64 -1 (/.f64 v e)) (/.f64 v (pow.f64 e 2))))
(+.f64 (neg.f64 (/.f64 v e)) (+.f64 v (/.f64 v (pow.f64 e 2))))
(+.f64 (-.f64 v (/.f64 v e)) (/.f64 v (pow.f64 e 2)))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (.f64 -1 (/.f64 v (pow.f64 e 3))) (/.f64 v (pow.f64 e 2)))))
(+.f64 v (+.f64 (.f64 -1 (/.f64 v e)) (+.f64 (/.f64 v (pow.f64 e 2)) (.f64 -1 (/.f64 v (pow.f64 e 3))))))
(+.f64 v (+.f64 (neg.f64 (/.f64 v e)) (+.f64 (/.f64 v (pow.f64 e 2)) (neg.f64 (/.f64 v (pow.f64 e 3))))))
(+.f64 (-.f64 v (/.f64 v e)) (-.f64 (/.f64 v (pow.f64 e 2)) (/.f64 v (pow.f64 e 3))))

eval133.0ms (2.5%)

Compiler: Compiled 9626 to 5630 computations (41.5% saved)

prune61.0ms (1.1%)

Pruning

18 alts after pruning (14 fresh and 4 done)

	Pruned	Kept	Total
New	275	14	289
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	276	18	294

Error

0.1b

Counts

294 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	12.1b	(if (!=.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) (/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
	24.7b	(if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 e e))) (pow.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v))) 2)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
	24.6b	(if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (-.f64 (.f64 e (.f64 (sin.f64 v) (.f64 e (sin.f64 v)))) (pow.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) 2)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
▶	12.1b	(if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
▶	24.6b	(if (!=.f64 (.f64 (sin.f64 v) e) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
	21.7b	(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) e)) (sin.f64 v)) (/.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
✓	33.3b	(/.f64 (*.f64 v e) (+.f64 e 1))
✓	0.2b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
✓	1.3b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
✓	0.4b	(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (pow.f64 (cos.f64 v) 3) (.f64 (sin.f64 v) (pow.f64 e 4))))
▶	0.6b	(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 1 (.f64 (sin.f64 v) (pow.f64 e 4))))
	62.7b	(-.f64 v (/.f64 v e))
	0.8b	(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
▶	1.4b	(*.f64 (sin.f64 v) e)
	33.4b	(*.f64 v (-.f64 e (pow.f64 e 2)))
▶	33.5b	(*.f64 v e)
	60.2b	(sin.f64 v)
	61.3b	v

Compiler

Compiled 860 to 493 computations (42.7% saved)

localize48.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))
	0.1b	(*.f64 (sin.f64 v) (pow.f64 e 2))
	0.1b	(.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3))))
	0.3b	(pow.f64 (cos.f64 v) 2)

Compiler

Compiled 140 to 79 computations (43.6% saved)

localize3.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 v) e)

Compiler

Compiled 10 to 4 computations (60% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(*.f64 (sin.f64 v) e)
0.0ms	e	@	inf	(*.f64 (sin.f64 v) e)
0.0ms	v	@	-inf	(*.f64 (sin.f64 v) e)
0.0ms	v	@	inf	(*.f64 (sin.f64 v) e)
0.0ms	e	@	-inf	(*.f64 (sin.f64 v) e)

rewrite45.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`rational_best-simplify-124`
560×	`rational_best-simplify-126`
522×	`rational_best-simplify-96`
518×	`rational_best-simplify-61`
516×	`rational_best-simplify-65`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	14	11
2	48	11
3	222	11
4	1397	11

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) e)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (neg.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))) (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))) (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) 0) (/.f64 (-.f64 (*.f64 (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) (*.f64 (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))) (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))))) (+.f64 (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))) (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))) (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))) (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) (*.f64 (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))) (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))))) (*.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0)))) (*.f64 (sin.f64 v) e))))))

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

774×	`rational_best-simplify-113`
492×	`rational_best-simplify-124`
488×	`rational_best-simplify-127`
486×	`rational_best-simplify-126`
434×	`rational_best-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	812
1	230	780
2	1261	764

Stop Event

1×	node limit

Counts

10 → 29

Calls

Call 1

Inputs
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(+.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0)))))
(-.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) e))
(neg.f64 (-.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))))
(if (!=.f64 (+.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) 0) (/.f64 (-.f64 (.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) (.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))))) (+.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))) (*.f64 (sin.f64 v) e))
(if (!=.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) (.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))))) (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0)))) (.f64 (sin.f64 v) e))

Outputs
(*.f64 v e)
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (*.f64 v e))
(+.f64 (.f64 v e) (.f64 -1/6 (*.f64 e (pow.f64 v 3))))
(+.f64 (.f64 v e) (.f64 e (*.f64 -1/6 (pow.f64 v 3))))
(.f64 e (-.f64 (.f64 -1/6 (pow.f64 v 3)) (neg.f64 v)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (*.f64 v e)))
(+.f64 (.f64 -1/6 (.f64 e (pow.f64 v 3))) (+.f64 (.f64 v e) (.f64 (pow.f64 v 5) (*.f64 1/120 e))))
(+.f64 (.f64 v e) (+.f64 (.f64 e (.f64 -1/6 (pow.f64 v 3))) (.f64 (pow.f64 v 5) (*.f64 e 1/120))))
(+.f64 (.f64 e (.f64 -1/6 (pow.f64 v 3))) (.f64 e (-.f64 (.f64 1/120 (pow.f64 v 5)) (neg.f64 v))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 v 3) e)) (+.f64 (.f64 1/120 (.f64 (pow.f64 v 5) e)) (+.f64 (.f64 v e) (.f64 -1/5040 (*.f64 (pow.f64 v 7) e)))))
(+.f64 (.f64 -1/6 (.f64 e (pow.f64 v 3))) (+.f64 (.f64 v e) (+.f64 (.f64 -1/5040 (.f64 e (pow.f64 v 7))) (.f64 (pow.f64 v 5) (*.f64 1/120 e)))))
(+.f64 (+.f64 (.f64 v e) (.f64 e (.f64 -1/5040 (pow.f64 v 7)))) (+.f64 (.f64 e (.f64 -1/6 (pow.f64 v 3))) (.f64 (pow.f64 v 5) (*.f64 e 1/120))))
(+.f64 (.f64 e (.f64 -1/6 (pow.f64 v 3))) (+.f64 (.f64 e (.f64 1/120 (pow.f64 v 5))) (.f64 e (-.f64 (.f64 -1/5040 (pow.f64 v 7)) (neg.f64 v)))))
(+.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0)))))
(-.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (*.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(.f64 e (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(-.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 (sin.f64 (neg.f64 v)) (*.f64 e (cos.f64 0))))
(-.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (*.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(.f64 e (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 v)) e))
(*.f64 e (neg.f64 (neg.f64 (sin.f64 v))))
(*.f64 e (sin.f64 v))
(neg.f64 (-.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (*.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))))
(-.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (*.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(.f64 e (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(if (!=.f64 (+.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) 0) (/.f64 (-.f64 (.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) (.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))))) (+.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))) (*.f64 (sin.f64 v) e))
(if (!=.f64 (+.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)))) 0) (/.f64 (-.f64 (.f64 e (.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) (.f64 (sin.f64 (neg.f64 v)) (.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) (.f64 e (cos.f64 0))))) (+.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))) (*.f64 e (sin.f64 v)))
(if (!=.f64 (+.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)))) 0) (/.f64 (-.f64 (.f64 e (.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))) (.f64 e (.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))) (+.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))) (*.f64 e (sin.f64 v)))
(if (!=.f64 (.f64 e (-.f64 (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)) (neg.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))) 0) (/.f64 (.f64 e (-.f64 (.f64 e (.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) (.f64 (cos.f64 0) (.f64 (sin.f64 (neg.f64 v)) (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))))))) (.f64 e (-.f64 (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)) (neg.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))))) (.f64 e (sin.f64 v)))
(if (!=.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2))) (.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))))) (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0)))) (.f64 (sin.f64 v) e))
(if (!=.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) 0) (/.f64 (.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) (-.f64 (.f64 e (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)))) (*.f64 e (sin.f64 v)))
(if (!=.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) 0) (/.f64 (.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) (.f64 e (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)))) (.f64 e (sin.f64 v)))
(if (!=.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0))) 0) (/.f64 (.f64 (sin.f64 (neg.f64 v)) (.f64 (.f64 e (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)))) (.f64 e (cos.f64 0)))) (.f64 (sin.f64 (neg.f64 v)) (.f64 e (cos.f64 0)))) (.f64 e (sin.f64 v)))

localize37.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
	0.1b	(*.f64 (sin.f64 v) e)
✓	0.2b	(!=.f64 (*.f64 (sin.f64 v) e) 0)
✓	37.3b	(/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) e))

Compiler

Compiled 137 to 56 computations (59.1% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	e	@	inf	(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
1.0ms	v	@	0	(/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) e))
0.0ms	v	@	-inf	(/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) e))
0.0ms	v	@	inf	(/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) e))
0.0ms	e	@	-inf	(/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) e))

rewrite62.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

864×	`rational_best-simplify-3`
852×	`rational_best-simplify-111`
842×	`rational_best-simplify-61`
822×	`rational_best-simplify-65`
778×	`rational_best-simplify-96`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	115
1	69	115
2	376	115
3	2445	115

Stop Event

1×	node limit

Counts

3 → 24

Calls

Call 1

Inputs

(/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) e))

(!=.f64 (*.f64 (sin.f64 v) e) 0)

(*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) e) 0) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))) (/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) e)))))))

()

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))) (*.f64 (sin.f64 v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (*.f64 (sin.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) 0) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) e) (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) e) (neg.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) e) (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))) (*.f64 (neg.f64 (sin.f64 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (*.f64 (sin.f64 v) (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) 0) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 0 (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 v)) 0) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) e) 0) (/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) e) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) e)) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (sin.f64 v) (*.f64 e e)) (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v)))))) (*.f64 (sin.f64 v) (+.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))) 0) (/.f64 (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (sin.f64 v) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v)))) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))))

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1034×	`rational_best-simplify-3`
1030×	`rational_best-simplify-61`
970×	`rational_best-simplify-65`
946×	`rational_best-simplify-96`
578×	`rational_best-simplify-62`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	132	3096
1	619	3088
2	3772	3088

Stop Event

1×	node limit

Counts

72 → 44

Calls

Call 1

Inputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(if (!=.f64 (.f64 (sin.f64 v) e) 0) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)))
(+.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))
(+.f64 0 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(+.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0)
(+.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (*.f64 (sin.f64 v) 0))
(+.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (*.f64 (sin.f64 v) e))
(+.f64 (.f64 (sin.f64 v) 0) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))))
(-.f64 (.f64 (sin.f64 v) e) (neg.f64 (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))))
(-.f64 (.f64 (sin.f64 v) e) (.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))
(-.f64 0 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(-.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (*.f64 (neg.f64 (sin.f64 v)) 0))
(-.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) (*.f64 (sin.f64 v) (neg.f64 e)))
(-.f64 (.f64 (sin.f64 v) 0) (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(-.f64 (.f64 0 (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(-.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v)))))
(-.f64 (.f64 (neg.f64 (sin.f64 v)) 0) (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(/.f64 (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 1)
(/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) -1)
(/.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) -2)
(neg.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(if (!=.f64 (.f64 (sin.f64 v) e) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (sin.f64 v) (.f64 e e)) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))))) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) 0) (/.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (sin.f64 v) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))

Outputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2))))
(-.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) 1/6) (.f64 (pow.f64 e 2) -1/2))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2)))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) -1/24) (+.f64 (.f64 (pow.f64 e 2) -1/12) (.f64 (-.f64 e (pow.f64 e 2)) 1/120)))))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2))) (+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) -1/12) (+.f64 (.f64 (pow.f64 e 2) -1/24) (.f64 (-.f64 e (pow.f64 e 2)) 1/120))))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
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(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) 0) (/.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (sin.f64 v) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))

localize61.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
	0.1b	(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
✓	0.6b	(!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) 0)
✓	46.8b	(/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))))

Compiler

Compiled 204 to 99 computations (51.5% saved)

series3.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	v	@	-inf	(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
0.0ms	v	@	0	(/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))))
0.0ms	v	@	0	(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
0.0ms	e	@	inf	(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
0.0ms	v	@	inf	(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))

rewrite61.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1032×	`rational_best-simplify-3`
940×	`rational_best-simplify-61`
910×	`rational_best-simplify-65`
854×	`rational_best-simplify-96`
530×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	155
1	81	155
2	421	155
3	2725	155

Stop Event

1×	node limit

Counts

3 → 15

Calls

Call 1

Inputs

(/.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))))

(!=.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) 0)

(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))) 0) (*.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))) (/.f64 (*.f64 (sin.f64 v) (*.f64 (sin.f64 v) (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))) (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v)))))))))

()

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 e 2) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v))) (+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v)))) (+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v)))) (-.f64 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v))))) (+.f64 (+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 1) (+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (pow.f64 e 2) 0) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2)))) (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0) (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v)))) (*.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0)) 0) (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))))))

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational_best-simplify-113`
722×	`rational_best-simplify-61`
692×	`rational_best-simplify-65`
670×	`rational_best-simplify-111`
644×	`rational_best-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	3079
1	486	3067
2	2588	3001

Stop Event

1×	node limit

Counts

87 → 56

Calls

Call 1

Inputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2)))) 0)
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(*.f64 -1 (pow.f64 e 2))
(+.f64 (.f64 -1 (pow.f64 e 2)) (.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 2))))
(+.f64 (.f64 -1 (pow.f64 e 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2)))))
(+.f64 (.f64 -1 (pow.f64 e 2)) (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (.f64 1/720 (.f64 (pow.f64 v 6) (pow.f64 e 2))) (.f64 -1/24 (*.f64 (pow.f64 v 4) (pow.f64 e 2))))))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))
(if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) 0) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (/.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))) (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(+.f64 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(+.f64 0 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))
(-.f64 (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(-.f64 0 (*.f64 (pow.f64 e 2) (cos.f64 v)))
(/.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) -1)
(/.f64 (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))) -2)
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))) (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v)))) -4)
(/.f64 (-.f64 (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v)))) (+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 1))
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v)))) (-.f64 (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))))) (+.f64 (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 1) (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 1)))
(neg.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)))
(neg.f64 (*.f64 (+.f64 (pow.f64 e 2) 0) (cos.f64 v)))
(if (!=.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2)))) (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))
(if (!=.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0)) 0) (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))

Outputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) 1/2) (.f64 (-.f64 e (pow.f64 e 2)) 1/6))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2))) (+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) -1/24) (+.f64 (.f64 (pow.f64 e 2) -1/12) (.f64 (-.f64 e (pow.f64 e 2)) 1/120))))))
(+.f64 (+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) 1/2) (.f64 (-.f64 e (pow.f64 e 2)) 1/6)))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) -1/24) (+.f64 (.f64 (pow.f64 e 2) -1/12) (.f64 (-.f64 e (pow.f64 e 2)) 1/120)))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) 1/2) (.f64 (-.f64 e (pow.f64 e 2)) 1/6))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (-.f64 (pow.f64 e 2) e) -1/120) (*.f64 (pow.f64 e 2) -1/8)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
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(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(-.f64 0 (*.f64 (pow.f64 e 2) (cos.f64 v)))
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(/.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) -1)
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(/.f64 (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))) -2)
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(/.f64 (+.f64 (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))) (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v)))) -4)
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(/.f64 (-.f64 (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v)))) (+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 1))
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(/.f64 (+.f64 (-.f64 (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v)))) (-.f64 (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))))) (+.f64 (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 1) (+.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 1)))
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(neg.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)))
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(neg.f64 (*.f64 (+.f64 (pow.f64 e 2) 0) (cos.f64 v)))
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(if (!=.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2)))) (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(if (!=.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0)) 0) (*.f64 (cos.f64 v) (neg.f64 (pow.f64 e 2))))
(*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))

eval217.0ms (4%)

Compiler: Compiled 18434 to 9803 computations (46.8% saved)

prune70.0ms (1.3%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	325	4	329
Fresh	2	7	9
Picked	1	0	1
Done	1	7	8
Total	329	18	347

Error

0.1b

Counts

347 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	24.7b	(if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 e e))) (pow.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v))) 2)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
	30.7b	(if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (-.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v))))))
▶	12.1b	(if (!=.f64 (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
	24.6b	(if (!=.f64 (.f64 v e) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
	25.0b	(if (!=.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) 0) (/.f64 (.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) (.f64 e (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)))) (.f64 e (sin.f64 v)))
▶	21.7b	(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) e)) (sin.f64 v)) (/.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
✓	33.3b	(/.f64 (*.f64 v e) (+.f64 e 1))
✓	0.2b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
✓	1.3b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
✓	0.4b	(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (pow.f64 (cos.f64 v) 3) (.f64 (sin.f64 v) (pow.f64 e 4))))
✓	0.6b	(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 1 (.f64 (sin.f64 v) (pow.f64 e 4))))
▶	62.7b	(-.f64 v (/.f64 v e))
▶	0.8b	(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
✓	1.4b	(*.f64 (sin.f64 v) e)
▶	33.4b	(*.f64 v (-.f64 e (pow.f64 e 2)))
✓	33.5b	(*.f64 v e)
	60.2b	(sin.f64 v)
	61.3b	v

Compiler

Compiled 841 to 498 computations (40.8% saved)

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 e 2) (cos.f64 v))
✓	0.1b	(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))

Compiler

Compiled 37 to 19 computations (48.6% saved)

series1.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	v	@	0	(*.f64 (pow.f64 e 2) (cos.f64 v))
0.0ms	v	@	0	(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
0.0ms	e	@	0	(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
0.0ms	v	@	inf	(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
0.0ms	e	@	inf	(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))

rewrite101.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`rational_best-simplify-1`
564×	`rational_best-simplify-113`
446×	`rational_best-simplify-124`
444×	`rational_best-simplify-127`
442×	`rational_best-simplify-126`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	50
1	43	50
2	191	50
3	1132	50
4	7940	50

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

Inputs
(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
(*.f64 (pow.f64 e 2) (cos.f64 v))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) (*.f64 (sin.f64 v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 e (sin.f64 v)) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (*.f64 e (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) 0) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) (*.f64 (neg.f64 (sin.f64 v)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 e (sin.f64 v)) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (*.f64 e (neg.f64 (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) 0) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e) 0) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (/.f64 (-.f64 (sin.f64 (neg.f64 v)) (sin.f64 v)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (neg.f64 (sin.f64 v)) e))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 v)) 0) (*.f64 (neg.f64 (sin.f64 v)) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) (*.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (-.f64 1 (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 e (sin.f64 v)) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v)))) 0) (/.f64 (-.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) e)) (*.f64 (pow.f64 e 2) (*.f64 (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 (cos.f64 v) (sin.f64 v))))) (+.f64 (*.f64 e (sin.f64 v)) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v))))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v))) 0) (/.f64 (*.f64 (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v)))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (-.f64 0 (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0)) 0) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 e (sin.f64 v)) 0) (/.f64 (-.f64 (*.f64 (sin.f64 v) (*.f64 (*.f64 e (sin.f64 v)) e)) (*.f64 (*.f64 e (sin.f64 v)) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v))))) (*.f64 e (sin.f64 v))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (*.f64 e (neg.f64 (sin.f64 v)))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (*.f64 (*.f64 e (neg.f64 (sin.f64 v))) (*.f64 e (neg.f64 (sin.f64 v))))) (+.f64 (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (*.f64 e (neg.f64 (sin.f64 v))))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) 0)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) 0) (*.f64 (sin.f64 v) 0)) (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (+.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) 0))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 0 (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) 0)) (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (-.f64 (*.f64 (*.f64 e (neg.f64 (sin.f64 v))) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (*.f64 (*.f64 e (neg.f64 (sin.f64 v))) (*.f64 e (neg.f64 (sin.f64 v))))) (*.f64 e (neg.f64 (sin.f64 v)))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (*.f64 (*.f64 e (neg.f64 (sin.f64 v))) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))))) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) 0) 0) (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 v) 0) (*.f64 (sin.f64 v) 0)) (*.f64 (*.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)) (*.f64 (sin.f64 v) 0))) (*.f64 (sin.f64 v) 0)) (*.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 e 2) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (*.f64 (pow.f64 e 2) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (cos.f64 v)))) 0) (*.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (pow.f64 e 2) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (*.f64 (pow.f64 e 2) (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (cos.f64 v)))) (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0)) (*.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (pow.f64 e 2) (cos.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0) 0) 0) (*.f64 (pow.f64 e 2) (cos.f64 v)))))))

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Rules

442×	`rational_best-simplify-124`
428×	`rational_best-simplify-126`
426×	`rational_best-simplify-61`
424×	`rational_best-simplify-127`
408×	`rational_best-simplify-65`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	223	3880
1	1192	3044

Stop Event

1×	node limit

Counts

94 → 74

Calls

Call 1

Inputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(pow.f64 e 2)
(+.f64 (pow.f64 e 2) (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))))
(+.f64 (pow.f64 e 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (.f64 1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2)))))
(+.f64 (pow.f64 e 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 v 2) (pow.f64 e 2))) (+.f64 (.f64 -1/720 (.f64 (pow.f64 v 6) (pow.f64 e 2))) (.f64 1/24 (.f64 (pow.f64 v 4) (pow.f64 e 2))))))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(+.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) 0)
(+.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) (*.f64 (sin.f64 v) 0))
(+.f64 0 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 e (sin.f64 v)) (.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))))
(+.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (*.f64 e (sin.f64 v)))
(+.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (neg.f64 (*.f64 e (neg.f64 (sin.f64 v)))))
(+.f64 (.f64 (sin.f64 v) 0) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (neg.f64 (.f64 e (neg.f64 (sin.f64 v)))) (.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))))
(-.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) (*.f64 (neg.f64 (sin.f64 v)) 0))
(-.f64 0 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(-.f64 (.f64 e (sin.f64 v)) (.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (sin.f64 v))))
(-.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (*.f64 e (neg.f64 (sin.f64 v))))
(-.f64 (.f64 (sin.f64 v) 0) (.f64 (sin.f64 v) (-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(-.f64 (.f64 (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e) 0) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(-.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (/.f64 (-.f64 (sin.f64 (neg.f64 v)) (sin.f64 v)) 2)))
(-.f64 (.f64 (neg.f64 (sin.f64 v)) (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (neg.f64 (sin.f64 v)) e))
(-.f64 (.f64 (neg.f64 (sin.f64 v)) 0) (.f64 (neg.f64 (sin.f64 v)) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(-.f64 (.f64 (neg.f64 (sin.f64 v)) (neg.f64 e)) (.f64 (neg.f64 (sin.f64 v)) (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))))
(/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) 1)
(/.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) -1)
(/.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) -2)
(/.f64 (-.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (-.f64 1 (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))))
(neg.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))
(neg.f64 (-.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0))
(if (!=.f64 (+.f64 (.f64 e (sin.f64 v)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v)))) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (.f64 e (sin.f64 v)) e)) (.f64 (pow.f64 e 2) (.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))) (.f64 (cos.f64 v) (sin.f64 v))))) (+.f64 (.f64 e (sin.f64 v)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))) 0) (/.f64 (.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v)))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 0 0) (/.f64 (-.f64 0 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0)) 0) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (.f64 e (sin.f64 v)) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (.f64 e (sin.f64 v)) e)) (.f64 (.f64 e (sin.f64 v)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))))) (.f64 e (sin.f64 v))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (.f64 e (neg.f64 (sin.f64 v)))) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 e (neg.f64 (sin.f64 v))))) (+.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (.f64 e (neg.f64 (sin.f64 v))))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) 0)) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) 0) (.f64 (sin.f64 v) 0)) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) 0))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 0 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) 0)) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (-.f64 (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 e (neg.f64 (sin.f64 v))))) (.f64 e (neg.f64 (sin.f64 v)))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(if (!=.f64 (.f64 (sin.f64 v) 0) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) 0) (.f64 (sin.f64 v) 0)) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) 0))) (.f64 (sin.f64 v) 0)) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0)
(+.f64 0 (*.f64 (pow.f64 e 2) (cos.f64 v)))
(-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0)
(-.f64 0 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))
(/.f64 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) -1)
(pow.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 1)
(neg.f64 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))
(if (!=.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (.f64 (pow.f64 e 2) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (cos.f64 v)))) 0) (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (pow.f64 e 2) (cos.f64 v)))
(if (!=.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (.f64 (pow.f64 e 2) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (cos.f64 v)))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0)) (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (pow.f64 e 2) (cos.f64 v)))
(if (!=.f64 0 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) 0) 0) (*.f64 (pow.f64 e 2) (cos.f64 v)))

Outputs
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
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(if (!=.f64 (+.f64 (.f64 e (sin.f64 v)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v)))) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (.f64 e (sin.f64 v)) e)) (.f64 (pow.f64 e 2) (.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))) (.f64 (cos.f64 v) (sin.f64 v))))) (+.f64 (.f64 e (sin.f64 v)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))) 0) (/.f64 (.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v)))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 0 0) (/.f64 (-.f64 0 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0)) 0) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 e (sin.f64 v)) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (.f64 e (sin.f64 v)) e)) (.f64 (.f64 e (sin.f64 v)) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (sin.f64 v))))) (.f64 e (sin.f64 v))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (.f64 e (neg.f64 (sin.f64 v)))) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 e (neg.f64 (sin.f64 v))))) (+.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (.f64 e (neg.f64 (sin.f64 v))))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) 0)) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) 0) (.f64 (sin.f64 v) 0)) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (+.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) 0))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 0 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) 0)) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)))) (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (-.f64 (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 e (neg.f64 (sin.f64 v))))) (.f64 e (neg.f64 (sin.f64 v)))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v)))))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 (sin.f64 v) 0) 0) (/.f64 (-.f64 (.f64 (.f64 (sin.f64 v) 0) (.f64 (sin.f64 v) 0)) (.f64 (.f64 (sin.f64 v) (-.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) e)) (.f64 (sin.f64 v) 0))) (.f64 (sin.f64 v) 0)) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(+.f64 (.f64 (sin.f64 v) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0)
(*.f64 (cos.f64 v) (pow.f64 e 2))
(+.f64 0 (*.f64 (pow.f64 e 2) (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(-.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 0)
(*.f64 (cos.f64 v) (pow.f64 e 2))
(-.f64 0 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(/.f64 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))) -1)
(*.f64 (cos.f64 v) (pow.f64 e 2))
(pow.f64 (*.f64 (pow.f64 e 2) (cos.f64 v)) 1)
(*.f64 (cos.f64 v) (pow.f64 e 2))
(neg.f64 (*.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(if (!=.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (.f64 (pow.f64 e 2) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (cos.f64 v)))) 0) (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (pow.f64 e 2) (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(if (!=.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) (/.f64 (-.f64 (.f64 (pow.f64 e 2) (.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (cos.f64 v)))) (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0)) (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (pow.f64 e 2) (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))
(if (!=.f64 0 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (cos.f64 v)) 0) 0) 0) (*.f64 (pow.f64 e 2) (cos.f64 v)))
(*.f64 (cos.f64 v) (pow.f64 e 2))

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 v (/.f64 v e))

Compiler

Compiled 12 to 4 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	v	@	inf	(-.f64 v (/.f64 v e))
0.0ms	v	@	0	(-.f64 v (/.f64 v e))
0.0ms	e	@	-inf	(-.f64 v (/.f64 v e))
0.0ms	e	@	0	(-.f64 v (/.f64 v e))
0.0ms	e	@	inf	(-.f64 v (/.f64 v e))

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

564×	`rational_best-simplify-124`
560×	`rational_best-simplify-126`
546×	`rational_best-simplify-96`
536×	`rational_best-simplify-117`
518×	`rational_best-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	205	13
3	1390	13

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(-.f64 v (/.f64 v e))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 v (neg.f64 (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 v (/.f64 v e)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 v e)) v)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 v e)) (+.f64 v 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 v e)) (+.f64 0 v))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 v (/.f64 v e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (/.f64 v e) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (/.f64 v e) v))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 v (/.f64 v e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 v e) v) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (+.f64 (-.f64 (/.f64 v e) v) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 v (/.f64 v e)) (-.f64 v (/.f64 v e))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v)))) (+.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (+.f64 (-.f64 (/.f64 v e) v) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 1 (-.f64 v (/.f64 v e))) (*.f64 (-.f64 v (/.f64 v e)) (-.f64 v (/.f64 v e)))) (-.f64 1 (*.f64 1 (-.f64 v (/.f64 v e)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 -2 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v))) (*.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v)))) (*.f64 (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))))) (-.f64 (*.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (+.f64 (-.f64 (/.f64 v e) v) 1)) (*.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 v (/.f64 v e)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (/.f64 v e) v))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 v (/.f64 v e)) 0) (/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 v e) (/.f64 v e))) (+.f64 v (/.f64 v e))) (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 v e) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 v 0) (/.f64 (*.f64 v (-.f64 v (/.f64 v e))) v) (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (/.f64 v e)) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 v) 0) (/.f64 (*.f64 v (-.f64 v (/.f64 v e))) v) (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (/.f64 v e) v) 0) (/.f64 (*.f64 (-.f64 (/.f64 v e) v) (-.f64 v (/.f64 v e))) (-.f64 (/.f64 v e) v)) (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 v e) v) 0)) 0) (-.f64 v (/.f64 v e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 (neg.f64 v) (/.f64 v e)) 0) (/.f64 (-.f64 (*.f64 v v) (*.f64 (/.f64 v e) (/.f64 v e))) (+.f64 v (/.f64 v e))) (-.f64 v (/.f64 v e)))))))

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1032×	`rational_best-simplify-96`
1020×	`rational_best-simplify-61`
994×	`rational_best-simplify-65`
698×	`rational_best-simplify-3`
604×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	735
1	522	735
2	3515	735

Stop Event

1×	node limit

Counts

53 → 37

Calls

Call 1

Inputs
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 -1 (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(+.f64 v (neg.f64 (/.f64 v e)))
(+.f64 (-.f64 v (/.f64 v e)) 0)
(+.f64 (neg.f64 (/.f64 v e)) v)
(+.f64 (neg.f64 (/.f64 v e)) (+.f64 v 0))
(+.f64 (neg.f64 (/.f64 v e)) (+.f64 0 v))
(+.f64 0 (-.f64 v (/.f64 v e)))
(*.f64 (-.f64 v (/.f64 v e)) 1)
(*.f64 (-.f64 (/.f64 v e) v) -1)
(*.f64 -1 (-.f64 (/.f64 v e) v))
(/.f64 (-.f64 v (/.f64 v e)) 1)
(/.f64 (-.f64 (/.f64 v e) v) -1)
(/.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) -2)
(/.f64 (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (+.f64 (-.f64 (/.f64 v e) v) 1))
(/.f64 (+.f64 (-.f64 v (/.f64 v e)) (-.f64 v (/.f64 v e))) 2)
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v))) -4)
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v)))) (+.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (+.f64 (-.f64 (/.f64 v e) v) 1)))
(/.f64 (-.f64 (.f64 1 (-.f64 v (/.f64 v e))) (.f64 (-.f64 v (/.f64 v e)) (-.f64 v (/.f64 v e)))) (-.f64 1 (*.f64 1 (-.f64 v (/.f64 v e)))))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v))) (.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)))))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v)))) (.f64 (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))))) (-.f64 (.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (+.f64 (-.f64 (/.f64 v e) v) 1)) (.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))))))
(pow.f64 (-.f64 v (/.f64 v e)) 1)
(neg.f64 (-.f64 (/.f64 v e) v))
(if (!=.f64 (+.f64 v (/.f64 v e)) 0) (/.f64 (-.f64 (.f64 v v) (.f64 (/.f64 v e) (/.f64 v e))) (+.f64 v (/.f64 v e))) (-.f64 v (/.f64 v e)))
(if (!=.f64 (/.f64 v e) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
(if (!=.f64 v 0) (/.f64 (*.f64 v (-.f64 v (/.f64 v e))) v) (-.f64 v (/.f64 v e)))
(if (!=.f64 (neg.f64 (/.f64 v e)) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
(if (!=.f64 (neg.f64 v) 0) (/.f64 (*.f64 v (-.f64 v (/.f64 v e))) v) (-.f64 v (/.f64 v e)))
(if (!=.f64 (-.f64 (/.f64 v e) v) 0) (/.f64 (*.f64 (-.f64 (/.f64 v e) v) (-.f64 v (/.f64 v e))) (-.f64 (/.f64 v e) v)) (-.f64 v (/.f64 v e)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 v e) v) 0)) 0) (-.f64 v (/.f64 v e)))
(if (!=.f64 (-.f64 (neg.f64 v) (/.f64 v e)) 0) (/.f64 (-.f64 (.f64 v v) (.f64 (/.f64 v e) (/.f64 v e))) (+.f64 v (/.f64 v e))) (-.f64 v (/.f64 v e)))

Outputs
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(.f64 -1 (.f64 v (-.f64 (/.f64 1 e) 1)))
(*.f64 v (-.f64 1 (/.f64 1 e)))
(-.f64 v (*.f64 v (/.f64 1 e)))
(*.f64 -1 (/.f64 v e))
(neg.f64 (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
v
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (*.f64 -1 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 v (neg.f64 (/.f64 v e)))
(-.f64 v (/.f64 v e))
(+.f64 (-.f64 v (/.f64 v e)) 0)
(-.f64 v (/.f64 v e))
(+.f64 (neg.f64 (/.f64 v e)) v)
(-.f64 v (/.f64 v e))
(+.f64 (neg.f64 (/.f64 v e)) (+.f64 v 0))
(-.f64 v (/.f64 v e))
(+.f64 (neg.f64 (/.f64 v e)) (+.f64 0 v))
(-.f64 v (/.f64 v e))
(+.f64 0 (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(*.f64 (-.f64 v (/.f64 v e)) 1)
(-.f64 v (/.f64 v e))
(*.f64 (-.f64 (/.f64 v e) v) -1)
(-.f64 v (/.f64 v e))
(*.f64 -1 (-.f64 (/.f64 v e) v))
(-.f64 v (/.f64 v e))
(/.f64 (-.f64 v (/.f64 v e)) 1)
(-.f64 v (/.f64 v e))
(/.f64 (-.f64 (/.f64 v e) v) -1)
(-.f64 v (/.f64 v e))
(/.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) -2)
(-.f64 v (/.f64 v e))
(/.f64 (*.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (+.f64 (-.f64 (/.f64 v e) v) 1))
(-.f64 v (/.f64 v e))
(/.f64 (+.f64 (-.f64 v (/.f64 v e)) (-.f64 v (/.f64 v e))) 2)
(-.f64 v (/.f64 v e))
(/.f64 (+.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v))) -4)
(-.f64 v (/.f64 v e))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v)))) (+.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (+.f64 (-.f64 (/.f64 v e) v) 1)))
(-.f64 v (/.f64 v e))
(/.f64 (-.f64 (.f64 1 (-.f64 v (/.f64 v e))) (.f64 (-.f64 v (/.f64 v e)) (-.f64 v (/.f64 v e)))) (-.f64 1 (*.f64 1 (-.f64 v (/.f64 v e)))))
(-.f64 v (/.f64 v e))
(/.f64 (-.f64 (.f64 -2 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v))) (.f64 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)) (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)))) (-.f64 4 (*.f64 -2 (+.f64 (-.f64 (/.f64 v e) v) (-.f64 (/.f64 v e) v)))))
(-.f64 v (/.f64 v e))
(/.f64 (-.f64 (.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v)))) (.f64 (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))) (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))))) (-.f64 (.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (+.f64 (-.f64 (/.f64 v e) v) 1)) (.f64 (+.f64 (-.f64 (/.f64 v e) v) 1) (.f64 (-.f64 (/.f64 v e) v) (-.f64 -1 (-.f64 (/.f64 v e) v))))))
(-.f64 v (/.f64 v e))
(pow.f64 (-.f64 v (/.f64 v e)) 1)
(-.f64 v (/.f64 v e))
(neg.f64 (-.f64 (/.f64 v e) v))
(-.f64 v (/.f64 v e))
(if (!=.f64 (+.f64 v (/.f64 v e)) 0) (/.f64 (-.f64 (.f64 v v) (.f64 (/.f64 v e) (/.f64 v e))) (+.f64 v (/.f64 v e))) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(if (!=.f64 (/.f64 v e) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(if (!=.f64 v 0) (/.f64 (*.f64 v (-.f64 v (/.f64 v e))) v) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(if (!=.f64 (neg.f64 (/.f64 v e)) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(if (!=.f64 (neg.f64 v) 0) (/.f64 (*.f64 v (-.f64 v (/.f64 v e))) v) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(if (!=.f64 (-.f64 (/.f64 v e) v) 0) (/.f64 (*.f64 (-.f64 (/.f64 v e) v) (-.f64 v (/.f64 v e))) (-.f64 (/.f64 v e) v)) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 v e) v) 0)) 0) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))
(if (!=.f64 (-.f64 (neg.f64 v) (/.f64 v e)) 0) (/.f64 (-.f64 (.f64 v v) (.f64 (/.f64 v e) (/.f64 v e))) (+.f64 v (/.f64 v e))) (-.f64 v (/.f64 v e)))
(-.f64 v (/.f64 v e))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 v (-.f64 e (pow.f64 e 2)))

Compiler

Compiled 20 to 12 computations (40% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	e	@	-inf	(*.f64 v (-.f64 e (pow.f64 e 2)))
0.0ms	v	@	0	(*.f64 v (-.f64 e (pow.f64 e 2)))
0.0ms	v	@	inf	(*.f64 v (-.f64 e (pow.f64 e 2)))
0.0ms	e	@	inf	(*.f64 v (-.f64 e (pow.f64 e 2)))
0.0ms	v	@	-inf	(*.f64 v (-.f64 e (pow.f64 e 2)))

rewrite84.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

926×	`rational_best-simplify-1`
676×	`rational_best-simplify-21`
674×	`rational_best-simplify-20`
674×	`rational_best-simplify-18`
396×	`rational_best-simplify-124`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	37	19
2	170	19
3	1003	19
4	6934	19

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

Inputs
(*.f64 v (-.f64 e (pow.f64 e 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 v e) (*.f64 (pow.f64 e 2) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) (*.f64 v e))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) (neg.f64 (*.f64 v (neg.f64 e))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 v (neg.f64 e))) (*.f64 (pow.f64 e 2) (neg.f64 v)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) (*.f64 (neg.f64 v) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 v e) (*.f64 v (pow.f64 e 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 v e) (+.f64 (*.f64 v (pow.f64 e 2)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 v (-.f64 (pow.f64 e 2) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) (*.f64 v (neg.f64 e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) (*.f64 (neg.f64 v) e))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 v) 0) (*.f64 v (-.f64 (pow.f64 e 2) e)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 v) (neg.f64 e)) (*.f64 (neg.f64 v) (neg.f64 (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) (*.f64 v (-.f64 (pow.f64 e 2) e))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) (*.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) (*.f64 v (-.f64 (pow.f64 e 2) e)))) (-.f64 1 (*.f64 v (-.f64 e (pow.f64 e 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 v (+.f64 e (pow.f64 e 2))) 0) (/.f64 (*.f64 v (-.f64 (*.f64 e (*.f64 v e)) (*.f64 (pow.f64 e 2) (*.f64 v (pow.f64 e 2))))) (*.f64 v (+.f64 e (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 v (pow.f64 e 2)) 0) (/.f64 (*.f64 v (*.f64 (*.f64 v (pow.f64 e 2)) (-.f64 e (pow.f64 e 2)))) (*.f64 v (pow.f64 e 2))) (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 v e) 0) (/.f64 (*.f64 (*.f64 v e) (*.f64 v (-.f64 e (pow.f64 e 2)))) (*.f64 v e)) (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) (/.f64 (neg.f64 (*.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) 0)) 0) (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) (*.f64 v (neg.f64 e))) 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) (*.f64 (pow.f64 e 2) (neg.f64 v))) (*.f64 (*.f64 v (neg.f64 e)) (*.f64 v (neg.f64 e)))) (+.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) (*.f64 v (neg.f64 e)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) 0) (/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 e 2) (neg.f64 v)) (*.f64 (pow.f64 e 2) (neg.f64 v))) (*.f64 (*.f64 v (neg.f64 e)) (*.f64 (pow.f64 e 2) (neg.f64 v)))) (*.f64 (pow.f64 e 2) (neg.f64 v))) (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) 0) (/.f64 (neg.f64 (*.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) (*.f64 v (-.f64 (pow.f64 e 2) e)))) (*.f64 v (-.f64 (pow.f64 e 2) e))) (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) 0) (/.f64 (-.f64 (*.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) 0) (*.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) (*.f64 v (-.f64 (pow.f64 e 2) e)))) (*.f64 v (-.f64 (pow.f64 e 2) e))) (*.f64 v (-.f64 e (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 v (neg.f64 e)) 0) (/.f64 (-.f64 (*.f64 (*.f64 v (neg.f64 e)) (*.f64 (pow.f64 e 2) (neg.f64 v))) (*.f64 (*.f64 v (neg.f64 e)) (*.f64 v (neg.f64 e)))) (*.f64 v (neg.f64 e))) (*.f64 v (-.f64 e (pow.f64 e 2))))))))

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

880×	`rational_best-simplify-3`
866×	`rational_best-simplify-96`
852×	`rational_best-simplify-61`
814×	`rational_best-simplify-65`
570×	`rational_best-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	103	1223
1	570	763
2	3711	763

Stop Event

1×	node limit

Counts

41 → 34

Calls

Call 1

Inputs
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(.f64 -1 (.f64 v (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(.f64 -1 (.f64 v (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(+.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 0)
(+.f64 (.f64 v e) (.f64 (pow.f64 e 2) (neg.f64 v)))
(+.f64 0 (*.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 v e))
(+.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (neg.f64 (.f64 v (neg.f64 e))))
(+.f64 (neg.f64 (.f64 v (neg.f64 e))) (.f64 (pow.f64 e 2) (neg.f64 v)))
(-.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (neg.f64 v) 0))
(-.f64 (.f64 v e) (.f64 v (pow.f64 e 2)))
(-.f64 (.f64 v e) (+.f64 (.f64 v (pow.f64 e 2)) 0))
(-.f64 0 (*.f64 v (-.f64 (pow.f64 e 2) e)))
(-.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 v (neg.f64 e)))
(-.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 (neg.f64 v) e))
(-.f64 (.f64 (neg.f64 v) 0) (.f64 v (-.f64 (pow.f64 e 2) e)))
(-.f64 (.f64 (neg.f64 v) (neg.f64 e)) (.f64 (neg.f64 v) (neg.f64 (pow.f64 e 2))))
(/.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 1)
(/.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) -1)
(/.f64 (+.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) (.f64 v (-.f64 (pow.f64 e 2) e))) -2)
(/.f64 (-.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) (.f64 v (-.f64 (pow.f64 e 2) e)))) (-.f64 1 (*.f64 v (-.f64 e (pow.f64 e 2)))))
(pow.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 1)
(neg.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)))
(if (!=.f64 (.f64 v (+.f64 e (pow.f64 e 2))) 0) (/.f64 (.f64 v (-.f64 (.f64 e (.f64 v e)) (.f64 (pow.f64 e 2) (.f64 v (pow.f64 e 2))))) (.f64 v (+.f64 e (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(if (!=.f64 (.f64 v (pow.f64 e 2)) 0) (/.f64 (.f64 v (.f64 (.f64 v (pow.f64 e 2)) (-.f64 e (pow.f64 e 2)))) (.f64 v (pow.f64 e 2))) (.f64 v (-.f64 e (pow.f64 e 2))))
(if (!=.f64 (.f64 v e) 0) (/.f64 (.f64 (.f64 v e) (.f64 v (-.f64 e (pow.f64 e 2)))) (.f64 v e)) (.f64 v (-.f64 e (pow.f64 e 2))))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) 0)) 0) (*.f64 v (-.f64 e (pow.f64 e 2))))
(if (!=.f64 (+.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 v (neg.f64 e))) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 (pow.f64 e 2) (neg.f64 v))) (.f64 (.f64 v (neg.f64 e)) (.f64 v (neg.f64 e)))) (+.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 v (neg.f64 e)))) (*.f64 v (-.f64 e (pow.f64 e 2))))
(if (!=.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 (pow.f64 e 2) (neg.f64 v))) (.f64 (.f64 v (neg.f64 e)) (.f64 (pow.f64 e 2) (neg.f64 v)))) (.f64 (pow.f64 e 2) (neg.f64 v))) (*.f64 v (-.f64 e (pow.f64 e 2))))
(if (!=.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) 0) (/.f64 (neg.f64 (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) (.f64 v (-.f64 (pow.f64 e 2) e)))) (.f64 v (-.f64 (pow.f64 e 2) e))) (.f64 v (-.f64 e (pow.f64 e 2))))
(if (!=.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) 0) (/.f64 (-.f64 (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) 0) (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) (.f64 v (-.f64 (pow.f64 e 2) e)))) (.f64 v (-.f64 (pow.f64 e 2) e))) (.f64 v (-.f64 e (pow.f64 e 2))))
(if (!=.f64 (.f64 v (neg.f64 e)) 0) (/.f64 (-.f64 (.f64 (.f64 v (neg.f64 e)) (.f64 (pow.f64 e 2) (neg.f64 v))) (.f64 (.f64 v (neg.f64 e)) (.f64 v (neg.f64 e)))) (.f64 v (neg.f64 e))) (*.f64 v (-.f64 e (pow.f64 e 2))))

Outputs
(*.f64 v e)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(.f64 -1 (.f64 v (pow.f64 e 2)))
(*.f64 v (neg.f64 (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(.f64 -1 (.f64 v (pow.f64 e 2)))
(*.f64 v (neg.f64 (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 0)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 (pow.f64 e 2) (neg.f64 v)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 0 (*.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 v e))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (neg.f64 (.f64 v (neg.f64 e))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (neg.f64 (.f64 v (neg.f64 e))) (.f64 (pow.f64 e 2) (neg.f64 v)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(-.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (neg.f64 v) 0))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(-.f64 (.f64 v e) (.f64 v (pow.f64 e 2)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(-.f64 (.f64 v e) (+.f64 (.f64 v (pow.f64 e 2)) 0))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(-.f64 0 (*.f64 v (-.f64 (pow.f64 e 2) e)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(-.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 v (neg.f64 e)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(-.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 (neg.f64 v) e))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(-.f64 (.f64 (neg.f64 v) 0) (.f64 v (-.f64 (pow.f64 e 2) e)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(-.f64 (.f64 (neg.f64 v) (neg.f64 e)) (.f64 (neg.f64 v) (neg.f64 (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(/.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 1)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(/.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)) -1)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(/.f64 (+.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) (.f64 v (-.f64 (pow.f64 e 2) e))) -2)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(/.f64 (-.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) (.f64 v (-.f64 (pow.f64 e 2) e)))) (-.f64 1 (*.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(pow.f64 (*.f64 v (-.f64 e (pow.f64 e 2))) 1)
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(neg.f64 (*.f64 v (-.f64 (pow.f64 e 2) e)))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 (.f64 v (+.f64 e (pow.f64 e 2))) 0) (/.f64 (.f64 v (-.f64 (.f64 e (.f64 v e)) (.f64 (pow.f64 e 2) (.f64 v (pow.f64 e 2))))) (.f64 v (+.f64 e (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 (.f64 v (pow.f64 e 2)) 0) (/.f64 (.f64 v (.f64 (.f64 v (pow.f64 e 2)) (-.f64 e (pow.f64 e 2)))) (.f64 v (pow.f64 e 2))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 (.f64 v e) 0) (/.f64 (.f64 (.f64 v e) (.f64 v (-.f64 e (pow.f64 e 2)))) (.f64 v e)) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 0 0) (/.f64 (neg.f64 (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) 0)) 0) (*.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 (+.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 v (neg.f64 e))) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 (pow.f64 e 2) (neg.f64 v))) (.f64 (.f64 v (neg.f64 e)) (.f64 v (neg.f64 e)))) (+.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 v (neg.f64 e)))) (*.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) 0) (/.f64 (-.f64 (.f64 (.f64 (pow.f64 e 2) (neg.f64 v)) (.f64 (pow.f64 e 2) (neg.f64 v))) (.f64 (.f64 v (neg.f64 e)) (.f64 (pow.f64 e 2) (neg.f64 v)))) (.f64 (pow.f64 e 2) (neg.f64 v))) (*.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) 0) (/.f64 (neg.f64 (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) (.f64 v (-.f64 (pow.f64 e 2) e)))) (.f64 v (-.f64 (pow.f64 e 2) e))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) 0) (/.f64 (-.f64 (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) 0) (.f64 (.f64 v (-.f64 (pow.f64 e 2) e)) (.f64 v (-.f64 (pow.f64 e 2) e)))) (.f64 v (-.f64 (pow.f64 e 2) e))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))
(if (!=.f64 (.f64 v (neg.f64 e)) 0) (/.f64 (-.f64 (.f64 (.f64 v (neg.f64 e)) (.f64 (pow.f64 e 2) (neg.f64 v))) (.f64 (.f64 v (neg.f64 e)) (.f64 v (neg.f64 e)))) (.f64 v (neg.f64 e))) (*.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v e) (.f64 -1 (*.f64 v (pow.f64 e 2))))
(*.f64 v (-.f64 e (pow.f64 e 2)))

localize48.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 e (sin.f64 v))
✓	0.2b	(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
✓	6.4b	(/.f64 (.f64 (sin.f64 v) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) e)) (sin.f64 v))
✓	17.8b	(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) e)) (sin.f64 v)) (/.f64 e (sin.f64 v)))

Compiler

Compiled 157 to 67 computations (57.3% saved)

series6.0ms (0.1%)

Counts

4 → 76

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	v	@	0	(/.f64 (.f64 (sin.f64 v) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) e)) (sin.f64 v))
0.0ms	v	@	0	(/.f64 e (sin.f64 v))
0.0ms	v	@	inf	(/.f64 e (sin.f64 v))
0.0ms	v	@	-inf	(/.f64 e (sin.f64 v))
0.0ms	e	@	0	(/.f64 e (sin.f64 v))

rewrite67.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational_best-simplify-61`
1210×	`rational_best-simplify-65`
960×	`rational_best-simplify-3`
712×	`rational_best-simplify-62`
522×	`rational_best-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	146
1	85	146
2	502	146
3	3405	146

Stop Event

1×	node limit

Counts

4 → 11

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) e)) (sin.f64 v)) (/.f64 e (sin.f64 v)))
(/.f64 (.f64 (sin.f64 v) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) e)) (sin.f64 v))
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(/.f64 e (sin.f64 v))

Outputs
()
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sin.f64 v) 0) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v)))))))
()
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 e (sin.f64 v)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 e (sin.f64 v))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 e (sin.f64 v))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 e (sin.f64 v))))))))

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

730×	`rational_best-simplify-61`
678×	`rational_best-simplify-65`
608×	`rational_best-simplify-113`
592×	`rational_best-simplify-3`
584×	`rational_best-simplify-96`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	3105
1	451	3025
2	2307	2875

Stop Event

1×	node limit

Counts

87 → 73

Calls

Call 1

Inputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) e)
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(*.f64 (-.f64 e (pow.f64 e 2)) e)
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (*.f64 (-.f64 e (pow.f64 e 2)) e))
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 v 4) (pow.f64 e 3))) (*.f64 (-.f64 e (pow.f64 e 2)) e)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 v 4) (pow.f64 e 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 v 6) (pow.f64 e 3))) (*.f64 (-.f64 e (pow.f64 e 2)) e))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(pow.f64 e 2)
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(/.f64 e v)
(+.f64 (.f64 1/6 (.f64 v e)) (/.f64 e v))
(+.f64 (.f64 1/6 (.f64 v e)) (+.f64 (/.f64 e v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 1/120 e) (.f64 -1/36 e))))))
(+.f64 (.f64 1/6 (.f64 v e)) (+.f64 (.f64 -1 (.f64 (pow.f64 v 5) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 e) (.f64 -1/36 e))) (+.f64 (.f64 -1/5040 e) (.f64 1/720 e))))) (+.f64 (/.f64 e v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 1/120 e) (*.f64 -1/36 e)))))))
(-.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v)) 0)
(-.f64 0 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))
(.f64 -1 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))
(.f64 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))) -1)
(neg.f64 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))
(if (!=.f64 (sin.f64 v) 0) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v)))
(-.f64 (/.f64 e (sin.f64 v)) 0)
(-.f64 0 (neg.f64 (/.f64 e (sin.f64 v))))
(*.f64 -1 (neg.f64 (/.f64 e (sin.f64 v))))
(*.f64 (neg.f64 (/.f64 e (sin.f64 v))) -1)
(neg.f64 (neg.f64 (/.f64 e (sin.f64 v))))

Outputs
(*.f64 v (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) 1/2) (.f64 (-.f64 e (pow.f64 e 2)) 1/6))))
(+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (.f64 v (-.f64 e (pow.f64 e 2)))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) -1/12) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) 1/120) (.f64 (pow.f64 e 2) -1/24)))) (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2)))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) -1/24) (+.f64 (.f64 (pow.f64 e 2) -1/12) (.f64 (-.f64 e (pow.f64 e 2)) 1/120))))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) 1/2) (.f64 (-.f64 e (pow.f64 e 2)) 1/6))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (pow.f64 e 2) -1/8) (*.f64 (-.f64 e (pow.f64 e 2)) -1/120)))))
(+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 1/240 (pow.f64 e 2)) (+.f64 (.f64 1/720 (pow.f64 e 2)) (+.f64 (.f64 1/144 (pow.f64 e 2)) (.f64 -1/5040 (-.f64 e (pow.f64 e 2))))))) (+.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/24 (pow.f64 e 2)) (+.f64 (.f64 -1/12 (pow.f64 e 2)) (.f64 1/120 (-.f64 e (pow.f64 e 2)))))) (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 -1/6 (-.f64 e (pow.f64 e 2))) (.f64 1/2 (pow.f64 e 2)))) (*.f64 v (-.f64 e (pow.f64 e 2))))))
(+.f64 (+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2)))) (+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 (pow.f64 e 2) 1/240) (+.f64 (.f64 (pow.f64 e 2) 1/720) (+.f64 (.f64 (pow.f64 e 2) 1/144) (.f64 (-.f64 e (pow.f64 e 2)) -1/5040))))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) -1/12) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) 1/120) (*.f64 (pow.f64 e 2) -1/24))))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (+.f64 (+.f64 (.f64 (pow.f64 v 3) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/6) (.f64 (pow.f64 e 2) 1/2))) (.f64 (pow.f64 v 5) (+.f64 (.f64 (pow.f64 e 2) -1/24) (+.f64 (.f64 (pow.f64 e 2) -1/12) (.f64 (-.f64 e (pow.f64 e 2)) 1/120))))) (.f64 (pow.f64 v 7) (+.f64 (.f64 (pow.f64 e 2) 1/240) (+.f64 (.f64 (pow.f64 e 2) 1/720) (+.f64 (.f64 (pow.f64 e 2) 1/144) (*.f64 (-.f64 e (pow.f64 e 2)) -1/5040)))))))
(+.f64 (.f64 v (-.f64 e (pow.f64 e 2))) (+.f64 (.f64 (pow.f64 v 7) (+.f64 (.f64 (pow.f64 e 2) 1/240) (+.f64 (.f64 (-.f64 e (pow.f64 e 2)) -1/5040) (.f64 (pow.f64 e 2) 1/120)))) (+.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 (pow.f64 e 2) 1/2) (.f64 (-.f64 e (pow.f64 e 2)) 1/6))) (.f64 (pow.f64 v 5) (-.f64 (.f64 (pow.f64 e 2) -1/8) (*.f64 (-.f64 e (pow.f64 e 2)) -1/120))))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(*.f64 (sin.f64 v) e)
(*.f64 e (sin.f64 v))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (cos.f64 v) (pow.f64 e 2))))
(.f64 -1 (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(+.f64 (.f64 -1 (.f64 (sin.f64 v) (.f64 (cos.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) e))
(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(*.f64 (-.f64 e (pow.f64 e 2)) e)
(*.f64 e (-.f64 e (pow.f64 e 2)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (*.f64 (-.f64 e (pow.f64 e 2)) e))
(+.f64 (.f64 e (-.f64 e (pow.f64 e 2))) (.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 3))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 v 4) (pow.f64 e 3))) (*.f64 (-.f64 e (pow.f64 e 2)) e)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (+.f64 (.f64 e (-.f64 e (pow.f64 e 2))) (.f64 -1/24 (*.f64 (pow.f64 e 3) (pow.f64 v 4)))))
(+.f64 (.f64 e (-.f64 e (pow.f64 e 2))) (+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (.f64 (pow.f64 e 3) (*.f64 -1/24 (pow.f64 v 4)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 v 4) (pow.f64 e 3))) (+.f64 (.f64 1/720 (.f64 (pow.f64 v 6) (pow.f64 e 3))) (*.f64 (-.f64 e (pow.f64 e 2)) e))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 e 3) (pow.f64 v 4))) (+.f64 (.f64 e (-.f64 e (pow.f64 e 2))) (.f64 1/720 (*.f64 (pow.f64 e 3) (pow.f64 v 6))))))
(+.f64 (.f64 e (-.f64 e (pow.f64 e 2))) (+.f64 (+.f64 (.f64 (pow.f64 e 3) (.f64 -1/24 (pow.f64 v 4))) (.f64 (pow.f64 e 3) (.f64 1/720 (pow.f64 v 6)))) (.f64 1/2 (*.f64 (pow.f64 v 2) (pow.f64 e 3)))))
(+.f64 (.f64 1/2 (.f64 (pow.f64 v 2) (pow.f64 e 3))) (+.f64 (.f64 e (-.f64 e (pow.f64 e 2))) (+.f64 (.f64 -1/24 (.f64 (pow.f64 e 3) (pow.f64 v 4))) (.f64 1/720 (*.f64 (pow.f64 e 3) (pow.f64 v 6))))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(.f64 (-.f64 e (.f64 (cos.f64 v) (pow.f64 e 2))) e)
(.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
(pow.f64 e 2)
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3)))
(.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3)))
(neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3)))
(*.f64 (pow.f64 e 3) (neg.f64 (cos.f64 v)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3)))
(.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3)))
(neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3)))
(*.f64 (pow.f64 e 3) (neg.f64 (cos.f64 v)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(+.f64 (pow.f64 e 2) (.f64 -1 (.f64 (cos.f64 v) (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (.f64 -1 (pow.f64 e 3))))
(+.f64 (pow.f64 e 2) (neg.f64 (*.f64 (cos.f64 v) (pow.f64 e 3))))
(-.f64 (pow.f64 e 2) (*.f64 (cos.f64 v) (pow.f64 e 3)))
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) e)) 0)
(!=.f64 (.f64 (sin.f64 v) (.f64 -1 e)) 0)
(!=.f64 (neg.f64 (*.f64 e (sin.f64 v))) 0)
(!=.f64 (*.f64 e (neg.f64 (sin.f64 v))) 0)
(/.f64 e v)
(+.f64 (.f64 1/6 (.f64 v e)) (/.f64 e v))
(+.f64 (/.f64 e v) (.f64 v (.f64 1/6 e)))
(+.f64 (/.f64 e v) (.f64 v (.f64 e 1/6)))
(+.f64 (/.f64 e v) (.f64 1/6 (.f64 v e)))
(+.f64 (.f64 1/6 (.f64 v e)) (+.f64 (/.f64 e v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 1/120 e) (.f64 -1/36 e))))))
(+.f64 (/.f64 e v) (+.f64 (.f64 (pow.f64 v 3) (.f64 -1 (+.f64 (.f64 e 1/120) (.f64 e -1/36)))) (.f64 v (.f64 1/6 e))))
(+.f64 (/.f64 e v) (+.f64 (.f64 v (.f64 e 1/6)) (neg.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 e -1/36) (*.f64 e -1/120))))))
(+.f64 (/.f64 e v) (-.f64 (.f64 1/6 (.f64 v e)) (.f64 (pow.f64 v 3) (.f64 e -7/360))))
(+.f64 (.f64 1/6 (.f64 v e)) (+.f64 (.f64 -1 (.f64 (pow.f64 v 5) (+.f64 (.f64 1/6 (+.f64 (.f64 1/120 e) (.f64 -1/36 e))) (+.f64 (.f64 -1/5040 e) (.f64 1/720 e))))) (+.f64 (/.f64 e v) (.f64 -1 (.f64 (pow.f64 v 3) (+.f64 (.f64 1/120 e) (*.f64 -1/36 e)))))))
(+.f64 (.f64 v (.f64 1/6 e)) (+.f64 (+.f64 (/.f64 e v) (.f64 (pow.f64 v 3) (.f64 -1 (+.f64 (.f64 e 1/120) (.f64 e -1/36))))) (.f64 (pow.f64 v 5) (.f64 -1 (+.f64 (.f64 1/6 (+.f64 (.f64 e 1/120) (.f64 e -1/36))) (+.f64 (.f64 e -1/5040) (*.f64 e 1/720)))))))
(+.f64 (/.f64 e v) (+.f64 (+.f64 (.f64 v (.f64 e 1/6)) (neg.f64 (.f64 (pow.f64 v 3) (-.f64 (.f64 e -1/36) (.f64 e -1/120))))) (neg.f64 (.f64 (pow.f64 v 5) (+.f64 (.f64 1/6 (-.f64 (.f64 e -1/36) (.f64 e -1/120))) (+.f64 (.f64 e -1/5040) (*.f64 e 1/720)))))))
(+.f64 (.f64 1/6 (.f64 v e)) (+.f64 (-.f64 (/.f64 e v) (.f64 (pow.f64 v 3) (.f64 e -7/360))) (.f64 (pow.f64 v 5) (+.f64 (.f64 -1/6 (.f64 e -7/360)) (.f64 e -1/840)))))
(-.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v)) 0)
(/.f64 (.f64 e (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))
(/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 e (sin.f64 v))) (sin.f64 v))
(-.f64 0 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))
(/.f64 (.f64 e (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))
(/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 e (sin.f64 v))) (sin.f64 v))
(.f64 -1 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))
(/.f64 (.f64 e (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))
(/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 e (sin.f64 v))) (sin.f64 v))
(.f64 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))) -1)
(/.f64 (.f64 e (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))
(/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 e (sin.f64 v))) (sin.f64 v))
(neg.f64 (neg.f64 (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))))
(/.f64 (.f64 e (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))
(/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 e (sin.f64 v))) (sin.f64 v))
(if (!=.f64 (sin.f64 v) 0) (.f64 e (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) (/.f64 (.f64 (sin.f64 v) (.f64 e (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v)))
(/.f64 (.f64 e (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))))) (sin.f64 v))
(/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 e (sin.f64 v))) (sin.f64 v))
(-.f64 (/.f64 e (sin.f64 v)) 0)
(/.f64 e (sin.f64 v))
(-.f64 0 (neg.f64 (/.f64 e (sin.f64 v))))
(/.f64 e (sin.f64 v))
(*.f64 -1 (neg.f64 (/.f64 e (sin.f64 v))))
(/.f64 e (sin.f64 v))
(*.f64 (neg.f64 (/.f64 e (sin.f64 v))) -1)
(/.f64 e (sin.f64 v))
(neg.f64 (neg.f64 (/.f64 e (sin.f64 v))))
(/.f64 e (sin.f64 v))

localize58.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))
✓	0.1b	(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
✓	0.6b	(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
	46.8b	(/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (cos.f64 v))))

Compiler

Compiled 189 to 98 computations (48.1% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	v	@	0	(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
0.0ms	v	@	inf	(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
0.0ms	v	@	-inf	(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
0.0ms	e	@	inf	(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
0.0ms	e	@	0	(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`rational_best-simplify-96`
880×	`rational_best-simplify-61`
860×	`rational_best-simplify-65`
562×	`rational_best-simplify-3`
474×	`rational_best-simplify-62`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
1	28	48
2	98	48
3	499	48
4	3255	48

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

Inputs
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))

Outputs

()

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 e 2)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (*.f64 (neg.f64 (pow.f64 e 2)) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 v) (pow.f64 e 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 e 2) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))) (*.f64 (pow.f64 e 2) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (neg.f64 (pow.f64 e 2)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (*.f64 (neg.f64 (pow.f64 e 2)) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))))))) 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e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2)))))) (+.f64 (+.f64 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (+.f64 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 -2 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2)))) (*.f64 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 (*.f64 -2 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2)))) (*.f64 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2)))))) (+.f64 (-.f64 4 (*.f64 -2 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 4 (*.f64 -2 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (*.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2)))) (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2)))))) (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (*.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2)))) (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2))))))) (+.f64 (-.f64 (*.f64 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (*.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1))) (-.f64 (*.f64 (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (*.f64 (*.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (*.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 0 0) 1 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) 0) (/.f64 (*.f64 (sin.f64 v) (*.f64 (pow.f64 e 2) (*.f64 (sin.f64 v) (pow.f64 e 2)))) (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))) (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))))))

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1008×	`rational_best-simplify-61`
976×	`rational_best-simplify-65`
976×	`rational_best-simplify-96`
848×	`rational_best-simplify-3`
676×	`rational_best-simplify-62`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1960
1	527	1940
2	3261	1928

Stop Event

1×	node limit

Counts

72 → 44

Calls

Call 1

Inputs
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(.f64 -1 (.f64 v (pow.f64 e 2)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (.f64 -1 (.f64 v (pow.f64 e 2))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 v 5) (pow.f64 e 2))) (.f64 -1 (.f64 v (pow.f64 e 2)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 v 5) (pow.f64 e 2))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 v 7) (pow.f64 e 2))) (.f64 -1 (.f64 v (pow.f64 e 2))))))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(+.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(+.f64 0 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))
(+.f64 (.f64 (neg.f64 (pow.f64 e 2)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (.f64 (neg.f64 (pow.f64 e 2)) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v))))))
(-.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(-.f64 0 (*.f64 (sin.f64 v) (pow.f64 e 2)))
(-.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))) (*.f64 (pow.f64 e 2) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))
(-.f64 (.f64 (neg.f64 (pow.f64 e 2)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 (neg.f64 (pow.f64 e 2)) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 1)
(/.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) -1)
(/.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) -2)
(/.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) -4)
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))) (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)))
(/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 4 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))))) (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1))))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))))) -8)
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))) (+.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))))) (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1))))
(/.f64 (+.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))))) (+.f64 (-.f64 4 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 4 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))))))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))))) (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))))) (+.f64 (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1))) (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)))))
(pow.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 1)
(neg.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)))
(if (!=.f64 0 0) 1 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))
(if (!=.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))) (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))

Outputs
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(!=.f64 (.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))) 0)
(!=.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(.f64 -1 (.f64 v (pow.f64 e 2)))
(*.f64 v (neg.f64 (pow.f64 e 2)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (.f64 -1 (.f64 v (pow.f64 e 2))))
(+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (.f64 1/6 (.f64 (pow.f64 e 2) (pow.f64 v 3))))
(+.f64 (.f64 v (neg.f64 (pow.f64 e 2))) (.f64 (pow.f64 v 3) (*.f64 (pow.f64 e 2) 1/6)))
(-.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 e 2) 1/6)) (*.f64 v (pow.f64 e 2)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 v 5) (pow.f64 e 2))) (.f64 -1 (.f64 v (pow.f64 e 2)))))
(+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 1/6 (.f64 (pow.f64 e 2) (pow.f64 v 3))) (.f64 -1/120 (.f64 (pow.f64 e 2) (pow.f64 v 5)))))
(+.f64 (.f64 v (neg.f64 (pow.f64 e 2))) (+.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 e 2) 1/6)) (.f64 (pow.f64 e 2) (*.f64 -1/120 (pow.f64 v 5)))))
(-.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 e 2) 1/6)) (-.f64 (.f64 v (pow.f64 e 2)) (.f64 (pow.f64 e 2) (*.f64 -1/120 (pow.f64 v 5)))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 v 3) (pow.f64 e 2))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 v 5) (pow.f64 e 2))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 v 7) (pow.f64 e 2))) (.f64 -1 (.f64 v (pow.f64 e 2))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 e 2) (pow.f64 v 3))) (+.f64 (.f64 -1 (.f64 v (pow.f64 e 2))) (+.f64 (.f64 -1/120 (.f64 (pow.f64 e 2) (pow.f64 v 5))) (.f64 1/5040 (.f64 (pow.f64 e 2) (pow.f64 v 7))))))
(+.f64 (.f64 v (neg.f64 (pow.f64 e 2))) (+.f64 (+.f64 (.f64 (pow.f64 e 2) (.f64 -1/120 (pow.f64 v 5))) (.f64 (pow.f64 e 2) (.f64 1/5040 (pow.f64 v 7)))) (.f64 (pow.f64 v 3) (*.f64 (pow.f64 e 2) 1/6))))
(+.f64 (.f64 (pow.f64 e 2) (.f64 -1/120 (pow.f64 v 5))) (-.f64 (.f64 (pow.f64 v 3) (.f64 (pow.f64 e 2) 1/6)) (+.f64 (.f64 (.f64 (pow.f64 e 2) (pow.f64 v 7)) -1/5040) (*.f64 v (pow.f64 e 2)))))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(+.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(+.f64 0 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(+.f64 (.f64 (neg.f64 (pow.f64 e 2)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (neg.f64 (.f64 (neg.f64 (pow.f64 e 2)) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v))))))
(.f64 (neg.f64 (pow.f64 e 2)) (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(.f64 (pow.f64 e 2) (-.f64 (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))
(-.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(-.f64 0 (*.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(-.f64 (.f64 (pow.f64 e 2) (.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))) (*.f64 (pow.f64 e 2) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))
(.f64 (neg.f64 (pow.f64 e 2)) (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(.f64 (pow.f64 e 2) (-.f64 (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))
(-.f64 (.f64 (neg.f64 (pow.f64 e 2)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)) (.f64 (neg.f64 (pow.f64 e 2)) (*.f64 (cos.f64 0) (sin.f64 (neg.f64 v)))))
(.f64 (neg.f64 (pow.f64 e 2)) (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))
(.f64 (pow.f64 e 2) (-.f64 (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)) (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2)))
(/.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 1)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)) -1)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) -2)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (neg.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) -4)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (+.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))) (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 4 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (*.f64 (sin.f64 v) (pow.f64 e 2))))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))))) (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))))) -8)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (+.f64 (+.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))) (+.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))))) (+.f64 (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (+.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (+.f64 (-.f64 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))))) (+.f64 (-.f64 4 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2))))) (-.f64 4 (.f64 -2 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (.f64 (sin.f64 v) (pow.f64 e 2)))))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(/.f64 (+.f64 (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))))) (-.f64 (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2))))))) (+.f64 (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1))) (-.f64 (.f64 (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)) (.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (-.f64 -1 (.f64 (sin.f64 v) (pow.f64 e 2)))) (+.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 1)))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(pow.f64 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 1)
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(neg.f64 (*.f64 (sin.f64 v) (pow.f64 e 2)))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(if (!=.f64 0 0) 1 (*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))
(if (!=.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))) (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))))
(*.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2)))

eval169.0ms (3.1%)

Compiler: Compiled 12999 to 6995 computations (46.2% saved)

prune60.0ms (1.1%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	300	8	308
Fresh	2	4	6
Picked	1	0	1
Done	1	10	11
Total	304	22	326

Error

0.1b

Counts

326 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	61.6b	(if (!=.f64 (/.f64 v e) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
	24.7b	(if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 e e))) (pow.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v))) 2)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
	30.7b	(if (!=.f64 (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (-.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v))))))
	12.1b	(if (!=.f64 (.f64 v (neg.f64 (pow.f64 e 2))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
	24.6b	(if (!=.f64 (.f64 v e) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
	19.1b	(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (pow.f64 e 2) (/.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
	18.5b	(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (-.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (pow.f64 e 3))) (/.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
	24.6b	(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (-.f64 (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 e (neg.f64 (sin.f64 v))))) (.f64 e (neg.f64 (sin.f64 v)))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
✓	33.3b	(/.f64 (*.f64 v e) (+.f64 e 1))
✓	0.2b	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
✓	1.3b	(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
✓	0.4b	(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (pow.f64 (cos.f64 v) 3) (.f64 (sin.f64 v) (pow.f64 e 4))))
✓	0.6b	(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 1 (.f64 (sin.f64 v) (pow.f64 e 4))))
✓	62.7b	(-.f64 v (/.f64 v e))
	62.7b	(-.f64 v (*.f64 v (/.f64 1 e)))
✓	0.8b	(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
✓	1.4b	(*.f64 (sin.f64 v) e)
✓	33.4b	(*.f64 v (-.f64 e (pow.f64 e 2)))
✓	33.5b	(*.f64 v e)
	60.2b	(sin.f64 v)
	62.7b	(neg.f64 (/.f64 v e))
	61.3b	v

Compiler

Compiled 542 to 314 computations (42.1% saved)

regimes57.0ms (1.1%)

Counts

31 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(neg.f64 (/.f64 v e))
(-.f64 v (/.f64 v e))
(-.f64 v (*.f64 v (/.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(if (!=.f64 (/.f64 v e) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 v (-.f64 e (pow.f64 e 2)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v))
(-.f64 (.f64 e (sin.f64 v)) (.f64 (cos.f64 v) (*.f64 (sin.f64 v) (pow.f64 e 2))))
(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (pow.f64 e 2) (/.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (-.f64 (pow.f64 e 2) (.f64 (cos.f64 v) (pow.f64 e 3))) (/.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 v e) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) e) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) e) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) e)) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (/.f64 (.f64 (sin.f64 v) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) e)) (sin.f64 v)) (/.f64 e (sin.f64 v))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 e (neg.f64 (sin.f64 v))) 0) (/.f64 (-.f64 (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (neg.f64 (cos.f64 v))))) (.f64 (.f64 e (neg.f64 (sin.f64 v))) (.f64 e (neg.f64 (sin.f64 v))))) (.f64 e (neg.f64 (sin.f64 v)))) (.f64 (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v))) (sin.f64 v)))
(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 1 (.f64 (sin.f64 v) (pow.f64 e 4))))
(if (!=.f64 (.f64 v (neg.f64 (pow.f64 e 2))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) 0) (/.f64 (.f64 (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))) (.f64 e (-.f64 (/.f64 (+.f64 (sin.f64 v) (sin.f64 (neg.f64 v))) 2) (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0))))) (.f64 e (.f64 (sin.f64 (neg.f64 v)) (cos.f64 0)))) (.f64 e (sin.f64 v)))
(-.f64 (-.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 (cos.f64 v) 2) (pow.f64 e 3)))) (.f64 (cos.f64 v) (.f64 (sin.f64 v) (pow.f64 e 2)))) (.f64 (pow.f64 (cos.f64 v) 3) (.f64 (sin.f64 v) (pow.f64 e 4))))
(if (!=.f64 (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)) 0) (/.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v)))) (.f64 (.f64 (sin.f64 v) (pow.f64 e 2)) (cos.f64 v))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (neg.f64 (pow.f64 e 2))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (-.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v))))))
(if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (-.f64 (.f64 e (.f64 (sin.f64 v) (.f64 e (sin.f64 v)))) (pow.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) 2)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v)))) 0) (/.f64 (-.f64 (.f64 (sin.f64 v) (.f64 (sin.f64 v) (.f64 e e))) (pow.f64 (.f64 (pow.f64 e 2) (.f64 (sin.f64 v) (cos.f64 v))) 2)) (.f64 (sin.f64 v) (+.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (-.f64 e (*.f64 (pow.f64 e 2) (cos.f64 v)))))
(if (!=.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (neg.f64 (cos.f64 v)))) 0) (/.f64 (.f64 (sin.f64 v) (.f64 (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v))) (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))))) (.f64 (sin.f64 v) (.f64 (pow.f64 e 2) (cos.f64 v)))) (-.f64 (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (.f64 (cos.f64 (/.f64 (PI.f64) 2)) (cos.f64 (neg.f64 v)))) (.f64 (-.f64 e (.f64 (pow.f64 e 2) (cos.f64 v))) (*.f64 (sin.f64 (/.f64 (PI.f64) 2)) (sin.f64 (neg.f64 v))))))

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Calls

3 calls:

14.0ms	v
14.0ms	e
11.0ms	(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))

Results

Error	Segments	Branch
0.2b	1	`e`
0.2b	1	`v`
0.2b	1	`(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))`

Compiler

Compiled 960 to 461 computations (52% saved)

regimes15.0ms (0.3%)

Counts

11 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(neg.f64 (/.f64 v e))
(-.f64 v (/.f64 v e))
(-.f64 v (*.f64 v (/.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(if (!=.f64 (/.f64 v e) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 v (-.f64 e (pow.f64 e 2)))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))

Outputs
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))

Calls

2 calls:

6.0ms	v
6.0ms	e

Results

Error	Segments	Branch
1.3b	1	`e`
1.3b	1	`v`

Compiler

Compiled 80 to 32 computations (60% saved)

regimes14.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(neg.f64 (/.f64 v e))
(-.f64 v (/.f64 v e))
(-.f64 v (*.f64 v (/.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(if (!=.f64 (/.f64 v e) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
(sin.f64 v)
(*.f64 (sin.f64 v) e)
(*.f64 v (-.f64 e (pow.f64 e 2)))

Outputs
(*.f64 (sin.f64 v) e)

Calls

2 calls:

7.0ms	v
6.0ms	e

Results

Error	Segments	Branch
1.4b	1	`e`
1.4b	1	`v`

Compiler

Compiled 72 to 28 computations (61.1% saved)

regimes13.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(neg.f64 (/.f64 v e))
(-.f64 v (/.f64 v e))
(-.f64 v (*.f64 v (/.f64 1 e)))
(/.f64 (*.f64 v e) (+.f64 e 1))
(if (!=.f64 (/.f64 v e) 0) (/.f64 (*.f64 (/.f64 v e) (-.f64 v (/.f64 v e))) (/.f64 v e)) (-.f64 v (/.f64 v e)))
(sin.f64 v)

Outputs
(/.f64 (*.f64 v e) (+.f64 e 1))

Calls

2 calls:

6.0ms	e
5.0ms	v

Results

Error	Segments	Branch
33.3b	1	`e`
33.3b	1	`v`

Compiler

Compiled 61 to 23 computations (62.3% saved)

regimes9.0ms (0.2%)

Accuracy

Total -29.4b remaining (-87.7%)

Threshold costs -29.4b (-87.7%)

Counts

5 → 1

Calls

Call 1

Inputs
v
(*.f64 v e)
(neg.f64 (/.f64 v e))
(-.f64 v (/.f64 v e))
(-.f64 v (*.f64 v (/.f64 1 e)))

Outputs
(*.f64 v e)

Calls

2 calls:

4.0ms	v
4.0ms	e

Results

Error	Segments	Branch
33.5b	1	`e`
33.5b	1	`v`

Compiler

Compiled 28 to 14 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	94

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(*.f64 (sin.f64 v) e)
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v e)
v

Outputs
(/.f64 (.f64 e (sin.f64 v)) (+.f64 1 (.f64 e (cos.f64 v))))
(/.f64 (*.f64 e (sin.f64 v)) (+.f64 1 e))
(*.f64 (sin.f64 v) e)
(/.f64 (*.f64 v e) (+.f64 e 1))
(*.f64 v e)
v

Compiler

Compiled 46 to 31 computations (32.6% saved)

soundness0.0ms (0%)

end30.0ms (0.5%)

Compiler: Compiled 36 to 17 computations (52.8% saved)

Details

analyze12.0ms (0.2%)

sample2.1s (39.5%)

preprocess46.0ms (0.8%)

simplify88.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.2%)

series8.0ms (0.1%)

rewrite96.0ms (1.8%)

simplify75.0ms (1.4%)

eval37.0ms (0.7%)

prune14.0ms (0.3%)

localize17.0ms (0.3%)

series6.0ms (0.1%)

rewrite63.0ms (1.2%)

simplify105.0ms (1.9%)

localize50.0ms (0.9%)

series10.0ms (0.2%)

rewrite66.0ms (1.2%)

simplify70.0ms (1.3%)

localize9.0ms (0.2%)

series2.0ms (0%)

rewrite88.0ms (1.6%)

simplify42.0ms (0.8%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite82.0ms (1.5%)

simplify70.0ms (1.3%)

eval133.0ms (2.5%)

prune61.0ms (1.1%)

localize48.0ms (0.9%)

localize3.0ms (0.1%)

localize5.0ms (0.1%)

series0.0ms (0%)

rewrite45.0ms (0.8%)

simplify44.0ms (0.8%)

localize37.0ms (0.7%)

series5.0ms (0.1%)

rewrite62.0ms (1.1%)

simplify78.0ms (1.4%)

localize61.0ms (1.1%)

series3.0ms (0.1%)

rewrite61.0ms (1.1%)

simplify71.0ms (1.3%)

eval217.0ms (4%)

prune70.0ms (1.3%)

localize16.0ms (0.3%)

series1.0ms (0%)

rewrite101.0ms (1.9%)

simplify56.0ms (1%)

localize4.0ms (0.1%)

series2.0ms (0%)

rewrite46.0ms (0.8%)

simplify59.0ms (1.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite84.0ms (1.5%)

simplify61.0ms (1.1%)

localize48.0ms (0.9%)

series6.0ms (0.1%)

rewrite67.0ms (1.2%)

simplify67.0ms (1.2%)

localize58.0ms (1.1%)

series6.0ms (0.1%)

rewrite59.0ms (1.1%)

simplify73.0ms (1.3%)

eval169.0ms (3.1%)

prune60.0ms (1.1%)

regimes57.0ms (1.1%)

regimes15.0ms (0.3%)

regimes14.0ms (0.3%)

regimes13.0ms (0.2%)

regimes9.0ms (0.2%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end30.0ms (0.5%)

Profiling