Details

analyze194.0ms (3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
37.5%	37.5%	62.5%	0%	0%	0%	0%	4
43.8%	43.7%	56.2%	0%	0%	0%	0%	5
46.9%	46.9%	53.1%	0%	0%	0%	0%	6
48.4%	48.4%	51.5%	0%	0%	0%	0%	7
49.2%	49.2%	50.8%	0%	0%	0%	0%	8
49.6%	49.6%	50.4%	0%	0%	0%	0%	9
49.8%	49.8%	50.2%	0%	0%	0%	0%	10
49.9%	49.9%	50.1%	0%	0%	0%	0%	11
50%	49.9%	50%	0%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample5.9s (89.7%)

Results

3.2s	2087×	body	2048	valid
1.7s	3032×	body	1024	valid
455.0ms	1555×	body	512	valid
351.0ms	1476×	body	256	valid
139.0ms	105×	body	4096	valid
2.0ms	1×	body	8192	valid

Bogosity

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

196×	`fma-def`
118×	`associate-r`
90×	`*-commutative`
80×	`associate-+l-`
74×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify26.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

196×	`fma-def`
118×	`associate-r`
90×	`*-commutative`
80×	`associate-+l-`
74×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))

Outputs
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x 2))

eval1.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(tan.f64 (/.f64 x 2))

Compiler

Compiled 5 to 4 computations (20% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(tan.f64 (/.f64 x 2))

Compiler

Compiled 10 to 7 computations (30% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(tan.f64 (/.f64 x 2))
0.0ms	x	@	-inf	(tan.f64 (/.f64 x 2))
0.0ms	x	@	0	(tan.f64 (/.f64 x 2))

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`add-sqr-sqrt`
1366×	`*-un-lft-identity`
1276×	`add-cube-cbrt`
1264×	`add-cbrt-cube`
1250×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	148	11
2	1723	11

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(tan.f64 (/.f64 x 2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (tan.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-*r/`
720×	`fma-def`
682×	`*-commutative`
650×	`associate-r`
574×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	804
1	147	708
2	524	612
3	2040	612
4	4521	612
5	6576	612

Stop Event

1×	node limit

Counts

32 → 36

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (-.f64 (tan.f64 (*.f64 1/2 x)) 1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))

eval10.0ms (0.2%)

Compiler: Compiled 350 to 283 computations (19.1% saved)

prune5.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Error

Counts

37 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.9b	(*.f64 1/2 x)
✓	0.0b	(tan.f64 (/.f64 x 2))
▶	32.6b	(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))

Compiler

Compiled 16 to 13 computations (18.8% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(tan.f64 (*.f64 x 1/2))
✓	0.1b	(log.f64 (tan.f64 (*.f64 x 1/2)))
✓	1.6b	(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))

Compiler

Compiled 21 to 16 computations (23.8% saved)

series45.0ms (0.7%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	x	@	inf	(log.f64 (tan.f64 (*.f64 x 1/2)))
19.0ms	x	@	-inf	(log.f64 (tan.f64 (*.f64 x 1/2)))
1.0ms	x	@	0	(log.f64 (tan.f64 (*.f64 x 1/2)))
0.0ms	x	@	0	(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
0.0ms	x	@	0	(tan.f64 (*.f64 x 1/2))

rewrite63.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1420×	`add-sqr-sqrt`
1404×	`*-un-lft-identity`
1298×	`add-cube-cbrt`
1284×	`add-cbrt-cube`
1268×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	37
1	169	37
2	1767	37

Stop Event

1×	node limit

Counts

3 → 68

Calls

Call 1

Inputs
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(log.f64 (tan.f64 (*.f64 x 1/2)))
(tan.f64 (*.f64 x 1/2))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (tan.f64 (.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (tan.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 (.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 (cos.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (tan.f64 (.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (tan.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (tan.f64 (.f64 x 1/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (tan.f64 (.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (tan.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x tan.f64 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))) (log.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2)) (log.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (sin.f64 (*.f64 x 1/2))) (log.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (*.f64 x 1/2)) (sin.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 x 1/2)) (cos.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (*.f64 x 1/2))) (neg.f64 (cos.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))))))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

768×	`unswap-sqr`
642×	`*-commutative`
562×	`associate-*r/`
544×	`fma-def`
462×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	2690
1	277	2260
2	1065	2020
3	3706	2020

Stop Event

1×	node limit

Counts

104 → 78

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (log.f64 x)))
(+.f64 (.f64 7/1440 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (.f64 1/12 (pow.f64 x 2)) (log.f64 x))))
(+.f64 (.f64 31/90720 (pow.f64 x 6)) (+.f64 (.f64 7/1440 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (log.f64 x)))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 1 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 1) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(tan.f64 (*.f64 x 1/2))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))))
(+.f64 0 (log.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(-.f64 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 (cos.f64 (.f64 x 1/2))))
(-.f64 (+.f64 1 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 1)
(.f64 1 (log.f64 (tan.f64 (.f64 x 1/2))))
(.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1)
(pow.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(pow.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 2))
(cbrt.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 3))
(expm1.f64 (log1p.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (log.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(exp.f64 (.f64 (log.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 1))
(log1p.f64 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))
(+.f64 1 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(.f64 1 (tan.f64 (.f64 x 1/2)))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(pow.f64 (exp.f64 1) (log.f64 (tan.f64 (*.f64 x 1/2))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 (log.f64 1/2) (log.f64 x))
(+.f64 (log.f64 1/2) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (log.f64 x)))
(+.f64 (log.f64 1/2) (fma.f64 1/12 (*.f64 x x) (log.f64 x)))
(+.f64 (log.f64 1/2) (fma.f64 x (*.f64 x 1/12) (log.f64 x)))
(+.f64 (log.f64 x) (fma.f64 x (*.f64 x 1/12) (log.f64 1/2)))
(+.f64 (.f64 7/1440 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (.f64 1/12 (pow.f64 x 2)) (log.f64 x))))
(fma.f64 7/1440 (pow.f64 x 4) (+.f64 (log.f64 1/2) (fma.f64 1/12 (*.f64 x x) (log.f64 x))))
(+.f64 (fma.f64 1/12 (*.f64 x x) (log.f64 x)) (fma.f64 7/1440 (pow.f64 x 4) (log.f64 1/2)))
(+.f64 (log.f64 1/2) (fma.f64 7/1440 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/12) (log.f64 x))))
(fma.f64 7/1440 (pow.f64 x 4) (+.f64 (log.f64 x) (fma.f64 x (*.f64 x 1/12) (log.f64 1/2))))
(+.f64 (.f64 31/90720 (pow.f64 x 6)) (+.f64 (.f64 7/1440 (pow.f64 x 4)) (+.f64 (log.f64 1/2) (+.f64 (*.f64 1/12 (pow.f64 x 2)) (log.f64 x)))))
(fma.f64 31/90720 (pow.f64 x 6) (fma.f64 7/1440 (pow.f64 x 4) (+.f64 (log.f64 1/2) (fma.f64 1/12 (*.f64 x x) (log.f64 x)))))
(fma.f64 31/90720 (pow.f64 x 6) (+.f64 (fma.f64 1/12 (*.f64 x x) (log.f64 x)) (fma.f64 7/1440 (pow.f64 x 4) (log.f64 1/2))))
(+.f64 (fma.f64 x (*.f64 x 1/12) (log.f64 x)) (fma.f64 31/90720 (pow.f64 x 6) (fma.f64 7/1440 (pow.f64 x 4) (log.f64 1/2))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 3)))
(fma.f64 1/24 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/240 (pow.f64 x 5))))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 1/2 x)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/240 (pow.f64 x 5)) (+.f64 (.f64 17/40320 (pow.f64 x 7)) (.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 17/40320 (pow.f64 x 7) (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (fma.f64 1/240 (pow.f64 x 5) (fma.f64 1/24 (pow.f64 x 3) (*.f64 17/40320 (pow.f64 x 7)))))
(fma.f64 1/2 x (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/240 (pow.f64 x 5) (*.f64 17/40320 (pow.f64 x 7)))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(+.f64 1 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1) (log.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(tan.f64 (*.f64 x 1/2))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(+.f64 (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))) (log.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(+.f64 0 (log.f64 (tan.f64 (*.f64 x 1/2))))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2)) (log.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2)))))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(-.f64 (log.f64 (sin.f64 (.f64 x 1/2))) (log.f64 (cos.f64 (.f64 x 1/2))))
(log.f64 (/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x))))
(-.f64 (+.f64 1 (log.f64 (tan.f64 (*.f64 x 1/2)))) 1)
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 (log.f64 (tan.f64 (.f64 x 1/2))) 1)
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 1 (log.f64 (tan.f64 (.f64 x 1/2))))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2) (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 1)
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 2)
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))) 3)
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(pow.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 3) 1/3)
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 2))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (tan.f64 (*.f64 x 1/2))) 3))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (log.f64 (log.f64 (tan.f64 (*.f64 x 1/2)))))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(exp.f64 (.f64 (log.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 1))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(log1p.f64 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))
(.f64 2 (log.f64 (sqrt.f64 (tan.f64 (.f64 1/2 x)))))
(log.f64 (tan.f64 (*.f64 1/2 x)))
(+.f64 1 (-.f64 (tan.f64 (*.f64 x 1/2)) 1))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(-.f64 (+.f64 1 (tan.f64 (*.f64 x 1/2))) 1)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (tan.f64 (.f64 x 1/2)) 1)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 1 (tan.f64 (.f64 x 1/2)))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (sqrt.f64 (tan.f64 (.f64 x 1/2))) (sqrt.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 2))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 x 1/2))) 2) (cbrt.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(.f64 (sin.f64 (.f64 x 1/2)) (/.f64 1 (cos.f64 (*.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 1 (/.f64 (cos.f64 (.f64 x 1/2)) (sin.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (sin.f64 (.f64 x 1/2)) (cos.f64 (.f64 x 1/2)))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(/.f64 (neg.f64 (sin.f64 (.f64 x 1/2))) (neg.f64 (cos.f64 (.f64 x 1/2))))
(/.f64 (sin.f64 (.f64 1/2 x)) (cos.f64 (.f64 1/2 x)))
(pow.f64 (tan.f64 (*.f64 x 1/2)) 1)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (sqrt.f64 (tan.f64 (*.f64 x 1/2))) 2)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (cbrt.f64 (tan.f64 (*.f64 x 1/2))) 3)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3) 1/3)
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2))))) (sqrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 1) (log.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))) 2)) (cbrt.f64 (log.f64 (tan.f64 (.f64 x 1/2)))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(sqrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 2))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(log.f64 (exp.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(cbrt.f64 (pow.f64 (tan.f64 (*.f64 x 1/2)) 3))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(expm1.f64 (log1p.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 x 1/2))))
(+.f64 1 (+.f64 (tan.f64 (*.f64 1/2 x)) -1))
(+.f64 (tan.f64 (*.f64 1/2 x)) 0)
(tan.f64 (*.f64 1/2 x))

localize2.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

eval24.0ms (0.4%)

Compiler: Compiled 858 to 687 computations (19.9% saved)

prune13.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Error

Counts

81 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.9b	(*.f64 1/2 x)
✓	0.0b	(tan.f64 (/.f64 x 2))
✓	32.6b	(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes14.0ms (0.2%)

Accuracy

Total -62.2b remaining (-1591560.6%)

Threshold costs -62.2b (-1591560.6%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(tan.f64 (/.f64 x 2))
(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
(exp.f64 (log.f64 (tan.f64 (*.f64 x 1/2))))

Outputs
(tan.f64 (/.f64 x 2))

Calls

2 calls:

9.0ms	(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(/.f64 (-.f64 1 (cos.f64 x)) (sin.f64 x))`

Compiler

Compiled 31 to 23 computations (25.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	10	18

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(tan.f64 (/.f64 x 2))
(*.f64 1/2 x)

Outputs
(tan.f64 (/.f64 x 2))
(*.f64 1/2 x)
(*.f64 x 1/2)

Compiler

Compiled 9 to 7 computations (22.2% saved)

soundness40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

196×	`fma-def`
118×	`associate-r`
90×	`*-commutative`
80×	`associate-+l-`
74×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11

Stop Event

1×

saturated

Compiler

Compiled 12 to 9 computations (25% saved)

end16.0ms (0.2%)

Compiler: Compiled 8 to 6 computations (25% saved)

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11
0	1	1

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11
0	1	1

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11

Details

analyze194.0ms (3%)

sample5.9s (89.7%)

preprocess19.0ms (0.3%)

simplify26.0ms (0.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (0.8%)

simplify67.0ms (1%)

eval10.0ms (0.2%)

prune5.0ms (0.1%)

localize14.0ms (0.2%)

series45.0ms (0.7%)

rewrite63.0ms (1%)

simplify66.0ms (1%)

localize2.0ms (0%)

eval24.0ms (0.4%)

prune13.0ms (0.2%)

regimes14.0ms (0.2%)

simplify4.0ms (0.1%)

soundness40.0ms (0.6%)

end16.0ms (0.2%)

Profiling

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11
0	1	1

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11

Iter	Nodes	Cost
0	9	11
1	19	11
2	25	11
3	36	11
4	58	11
5	85	11
6	126	11
7	206	11
8	368	11
9	598	11
10	817	11
11	861	11