Details

analyze3.3s (28.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
23.4%	76.5%	0.1%	9
23.4%	76.5%	0.1%	10
27.3%	72.5%	0.1%	11
35.5%	64.4%	0.1%	12
35.5%	64.4%	0.1%	13
38%	61.8%	0.1%	14

Compiler

Compiled 34 to 19 computations (44.1% saved)

sample6.2s (54.2%)

Results

3.3s	2028×	body	1024	valid
1.5s	4687×	body	128	valid
1.0s	1033×	body	512	valid
388.0ms	500×	body	256	valid
22.0ms	8×	body	2048	valid

Compiler

Compiled 68 to 38 computations (44.1% saved)

preprocess49.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

946×	`fma-def_binary64`
468×	`fma-neg_binary64`
352×	`times-frac_binary64`
303×	`cancel-sign-sub-inv_binary64`
212×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	200
1	152	200
2	439	200
3	1107	200
4	1793	200
5	3387	200
6	4384	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 t)) ew)))) (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 t)) ew))))))
(fabs.f64 (-.f64 (.f64 (.f64 eh (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 ew) (tan.f64 t)) eh)))) (.f64 (.f64 ew (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 ew) (tan.f64 t)) eh))))))
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 eh)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 t) (tan.f64 eh)) ew)))) (.f64 (.f64 t (sin.f64 eh)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 t) (tan.f64 eh)) ew))))))
(fabs.f64 (-.f64 (.f64 (.f64 t (cos.f64 ew)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 ew)) t)))) (.f64 (.f64 eh (sin.f64 ew)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 ew)) t))))))

Outputs
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 t)) ew)))) (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 t)) ew))))))
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (neg.f64 eh) (/.f64 ew (tan.f64 t)))))) (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (neg.f64 eh) (/.f64 ew (tan.f64 t))))))))
(fabs.f64 (-.f64 (.f64 ew (.f64 (cos.f64 t) (cos.f64 (atan.f64 (.f64 (/.f64 (neg.f64 eh) ew) (tan.f64 t)))))) (.f64 eh (.f64 (sin.f64 t) (sin.f64 (atan.f64 (.f64 (/.f64 (neg.f64 eh) ew) (tan.f64 t))))))))
(fabs.f64 (-.f64 (.f64 (cos.f64 t) (.f64 ew (cos.f64 (atan.f64 (.f64 (tan.f64 t) (neg.f64 (/.f64 eh ew))))))) (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (.f64 (tan.f64 t) (neg.f64 (/.f64 eh ew))))))))
(fabs.f64 (-.f64 (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (.f64 (tan.f64 t) (neg.f64 (/.f64 eh ew)))))) (.f64 (cos.f64 t) (.f64 ew (cos.f64 (atan.f64 (.f64 (tan.f64 t) (neg.f64 (/.f64 eh ew)))))))))
(fabs.f64 (-.f64 (.f64 eh (.f64 (sin.f64 t) (sin.f64 (atan.f64 (.f64 eh (neg.f64 (/.f64 (tan.f64 t) ew))))))) (.f64 (cos.f64 t) (.f64 ew (cos.f64 (atan.f64 (.f64 eh (neg.f64 (/.f64 (tan.f64 t) ew)))))))))
(fabs.f64 (-.f64 (.f64 (.f64 eh (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 ew) (tan.f64 t)) eh)))) (.f64 (.f64 ew (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 ew) (tan.f64 t)) eh))))))
(fabs.f64 (-.f64 (.f64 (.f64 (cos.f64 t) eh) (cos.f64 (atan.f64 (/.f64 (.f64 (tan.f64 t) (neg.f64 ew)) eh)))) (.f64 (.f64 ew (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (.f64 (tan.f64 t) (neg.f64 ew)) eh))))))
(fabs.f64 (-.f64 (.f64 (.f64 (cos.f64 t) eh) (cos.f64 (atan.f64 (.f64 (/.f64 (neg.f64 ew) eh) (tan.f64 t))))) (.f64 (sin.f64 t) (.f64 ew (sin.f64 (atan.f64 (.f64 (/.f64 (neg.f64 ew) eh) (tan.f64 t))))))))
(fabs.f64 (-.f64 (.f64 (.f64 (cos.f64 t) eh) (cos.f64 (atan.f64 (.f64 (tan.f64 t) (/.f64 (neg.f64 ew) eh))))) (.f64 (sin.f64 t) (.f64 ew (sin.f64 (atan.f64 (.f64 (tan.f64 t) (/.f64 (neg.f64 ew) eh))))))))
(fabs.f64 (-.f64 (.f64 (sin.f64 t) (.f64 ew (sin.f64 (atan.f64 (.f64 (tan.f64 t) (/.f64 (neg.f64 ew) eh)))))) (.f64 (.f64 (cos.f64 t) eh) (cos.f64 (atan.f64 (.f64 (tan.f64 t) (/.f64 (neg.f64 ew) eh)))))))
(fabs.f64 (-.f64 (.f64 (sin.f64 t) (.f64 ew (sin.f64 (atan.f64 (/.f64 (neg.f64 ew) (/.f64 eh (tan.f64 t))))))) (.f64 (.f64 (cos.f64 t) eh) (cos.f64 (atan.f64 (/.f64 (neg.f64 ew) (/.f64 eh (tan.f64 t))))))))
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 eh)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 t) (tan.f64 eh)) ew)))) (.f64 (.f64 t (sin.f64 eh)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 t) (tan.f64 eh)) ew))))))
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 eh)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 t) (tan.f64 eh)) ew)))) (.f64 t (.f64 (sin.f64 eh) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 t) (tan.f64 eh)) ew)))))))
(fabs.f64 (-.f64 (.f64 ew (.f64 (cos.f64 eh) (cos.f64 (atan.f64 (.f64 (/.f64 (neg.f64 t) ew) (tan.f64 eh)))))) (.f64 t (.f64 (sin.f64 eh) (sin.f64 (atan.f64 (.f64 (/.f64 (neg.f64 t) ew) (tan.f64 eh))))))))
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 eh)) (cos.f64 (atan.f64 (.f64 (tan.f64 eh) (/.f64 (neg.f64 t) ew))))) (.f64 (.f64 t (sin.f64 eh)) (sin.f64 (atan.f64 (.f64 (tan.f64 eh) (/.f64 (neg.f64 t) ew)))))))
(fabs.f64 (-.f64 (.f64 (.f64 t (sin.f64 eh)) (sin.f64 (atan.f64 (.f64 (tan.f64 eh) (/.f64 (neg.f64 t) ew))))) (.f64 (.f64 ew (cos.f64 eh)) (cos.f64 (atan.f64 (.f64 (tan.f64 eh) (/.f64 (neg.f64 t) ew)))))))
(fabs.f64 (fma.f64 ew (.f64 (cos.f64 (atan.f64 (.f64 (neg.f64 t) (/.f64 (tan.f64 eh) ew)))) (neg.f64 (cos.f64 eh))) (.f64 (.f64 t (sin.f64 eh)) (sin.f64 (atan.f64 (*.f64 (neg.f64 t) (/.f64 (tan.f64 eh) ew)))))))
(fabs.f64 (-.f64 (.f64 (.f64 t (cos.f64 ew)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 ew)) t)))) (.f64 (.f64 eh (sin.f64 ew)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 ew)) t))))))
(fabs.f64 (-.f64 (.f64 t (.f64 (cos.f64 ew) (cos.f64 (atan.f64 (.f64 (/.f64 (neg.f64 eh) t) (tan.f64 ew)))))) (.f64 eh (.f64 (sin.f64 ew) (sin.f64 (atan.f64 (.f64 (/.f64 (neg.f64 eh) t) (tan.f64 ew))))))))
(fabs.f64 (-.f64 (.f64 t (.f64 (cos.f64 ew) (cos.f64 (atan.f64 (.f64 (tan.f64 ew) (/.f64 (neg.f64 eh) t)))))) (.f64 eh (.f64 (sin.f64 ew) (sin.f64 (atan.f64 (.f64 (tan.f64 ew) (/.f64 (neg.f64 eh) t))))))))
(fabs.f64 (-.f64 (.f64 t (.f64 (cos.f64 ew) (cos.f64 (atan.f64 (.f64 (neg.f64 eh) (/.f64 (tan.f64 ew) t)))))) (.f64 eh (.f64 (sin.f64 ew) (sin.f64 (atan.f64 (.f64 (neg.f64 eh) (/.f64 (tan.f64 ew) t))))))))
(fabs.f64 (-.f64 (.f64 eh (.f64 (sin.f64 ew) (sin.f64 (atan.f64 (.f64 (neg.f64 eh) (/.f64 (tan.f64 ew) t)))))) (.f64 t (.f64 (cos.f64 ew) (cos.f64 (atan.f64 (.f64 (neg.f64 eh) (/.f64 (tan.f64 ew) t))))))))

Compiler

Compiled 33 to 18 computations (45.5% saved)

simplify37.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1286×	`fma-def_binary64`
698×	`fma-neg_binary64`
423×	`times-frac_binary64`
245×	`div-sub_binary64`
182×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	50
1	44	50
2	118	50
3	290	50
4	456	50
5	801	50
6	1325	50
7	2149	50
8	3160	50
9	4423	50
10	4992	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(fabs.f64 (-.f64 (*.f64 (*.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew)))) (*.f64 (*.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (*.f64 (neg.f64 eh) (tan.f64 t)) ew))))))

Outputs
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 t)) ew)))) (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (.f64 (neg.f64 eh) (tan.f64 t)) ew))))))
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (neg.f64 eh) (/.f64 ew (tan.f64 t)))))) (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (/.f64 (neg.f64 eh) (/.f64 ew (tan.f64 t))))))))
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (.f64 (/.f64 (neg.f64 eh) ew) (tan.f64 t))))) (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (.f64 (/.f64 (neg.f64 eh) ew) (tan.f64 t)))))))
(fabs.f64 (-.f64 (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (.f64 (tan.f64 t) (/.f64 (neg.f64 eh) ew))))) (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (.f64 (tan.f64 t) (/.f64 (neg.f64 eh) ew)))))))
(fabs.f64 (-.f64 (.f64 (.f64 eh (sin.f64 t)) (sin.f64 (atan.f64 (.f64 (tan.f64 t) (/.f64 (neg.f64 eh) ew))))) (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (.f64 (tan.f64 t) (/.f64 (neg.f64 eh) ew)))))))
(fabs.f64 (fma.f64 (sin.f64 t) (.f64 (neg.f64 eh) (sin.f64 (atan.f64 (.f64 eh (/.f64 (neg.f64 (tan.f64 t)) ew))))) (.f64 ew (.f64 (cos.f64 t) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (neg.f64 (tan.f64 t)) ew))))))))
(fabs.f64 (fma.f64 (sin.f64 t) (.f64 (neg.f64 eh) (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))))) (.f64 ew (.f64 (cos.f64 t) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))))))))
(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))

prune3.0ms (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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))

Status

Error

Program

▶

0.1b

(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (*.f64 (neg.f64 eh) (sin.f64 t)) (*.f64 (*.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))

Compiler

Compiled 129 to 64 computations (50.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 ew (cos.f64 t))
✓	0.1b	(/.f64 (tan.f64 t) (neg.f64 ew))
✓	3.0b	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
✓	22.4b	(cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))))

series36.0ms (0.3%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
3.0ms	eh	@	0	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
2.0ms	ew	@	0	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
1.0ms	t	@	-inf	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
1.0ms	t	@	0	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))

rewrite59.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
217×	`expm1-udef_binary64`
217×	`log1p-udef_binary64`
187×	`log-pow_binary64`
130×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	249	34
2	3350	34

Stop Event

1×	node limit

Counts

4 → 113

Calls

Call 1

Inputs
(cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))))
(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
(/.f64 (tan.f64 t) (neg.f64 ew))
(*.f64 ew (cos.f64 t))

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

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

596×	`fma-neg_binary64`
301×	`distribute-rgt-neg-in_binary64`
295×	`distribute-lft-neg-in_binary64`
233×	`associate-/r/_binary64`
190×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1706
1	251	1701
2	795	1691
3	2722	1677

Stop Event

1×	node limit

Counts

233 → 144

Calls

Call 1

Inputs
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 t eh) ew))
(neg.f64 (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) eh) ew)) (/.f64 (*.f64 t eh) ew)))
(neg.f64 (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) eh) ew)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) eh) ew)) (/.f64 (*.f64 t eh) ew))))
(neg.f64 (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 t 5) eh) ew)) (+.f64 (.f64 1/3 (/.f64 (.f64 (pow.f64 t 3) eh) ew)) (+.f64 (/.f64 (.f64 t eh) ew) (.f64 17/315 (/.f64 (*.f64 (pow.f64 t 7) eh) ew))))))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (.f64 (sin.f64 t) eh) (*.f64 (cos.f64 t) ew)))
(*.f64 -1 (/.f64 t ew))
(neg.f64 (+.f64 (*.f64 1/3 (/.f64 (pow.f64 t 3) ew)) (/.f64 t ew)))
(neg.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 t 3) ew)) (+.f64 (/.f64 t ew) (.f64 2/15 (/.f64 (pow.f64 t 5) ew)))))
(neg.f64 (+.f64 (.f64 1/3 (/.f64 (pow.f64 t 3) ew)) (+.f64 (/.f64 t ew) (+.f64 (.f64 17/315 (/.f64 (pow.f64 t 7) ew)) (*.f64 2/15 (/.f64 (pow.f64 t 5) ew))))))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
ew
(-.f64 ew (.f64 1/2 (.f64 (pow.f64 t 2) ew)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) ew)) ew) (.f64 1/2 (.f64 (pow.f64 t 2) ew)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) ew)) ew) (+.f64 (.f64 1/720 (.f64 (pow.f64 t 6) ew)) (.f64 1/2 (.f64 (pow.f64 t 2) ew))))
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)

Outputs
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
(cos.f64 (atan.f64 (/.f64 (*.f64 (tan.f64 t) (neg.f64 eh)) ew)))
(cos.f64 (atan.f64 (.f64 -1 (/.f64 (.f64 (tan.f64 t) eh) ew))))
(cos.f64 (atan.f64 (neg.f64 (/.f64 (tan.f64 t) (/.f64 ew eh)))))
(cos.f64 (atan.f64 (/.f64 (neg.f64 (tan.f64 t)) (/.f64 ew eh))))
(cos.f64 (atan.f64 (*.f64 (/.f64 (tan.f64 t) ew) (neg.f64 eh))))
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(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(.f64 -1 (/.f64 (sin.f64 t) (.f64 (cos.f64 t) ew)))
(neg.f64 (/.f64 (sin.f64 t) (*.f64 ew (cos.f64 t))))
(/.f64 (neg.f64 (/.f64 (sin.f64 t) (cos.f64 t))) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
ew
(-.f64 ew (.f64 1/2 (.f64 (pow.f64 t 2) ew)))
(+.f64 ew (.f64 -1/2 (.f64 ew (*.f64 t t))))
(+.f64 ew (.f64 (.f64 ew (*.f64 t t)) -1/2))
(fma.f64 (.f64 ew (.f64 t t)) -1/2 ew)
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) ew)) ew) (.f64 1/2 (.f64 (pow.f64 t 2) ew)))
(+.f64 (fma.f64 1/24 (.f64 ew (pow.f64 t 4)) ew) (.f64 -1/2 (.f64 ew (.f64 t t))))
(+.f64 (fma.f64 1/24 (.f64 ew (pow.f64 t 4)) ew) (.f64 (.f64 ew (.f64 t t)) -1/2))
(.f64 ew (+.f64 (.f64 (*.f64 t t) -1/2) (fma.f64 1/24 (pow.f64 t 4) 1)))
(.f64 ew (+.f64 (fma.f64 1/24 (pow.f64 t 4) 1) (.f64 t (*.f64 t -1/2))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) ew)) ew) (+.f64 (.f64 1/720 (.f64 (pow.f64 t 6) ew)) (.f64 1/2 (.f64 (pow.f64 t 2) ew))))
(-.f64 (fma.f64 1/24 (.f64 ew (pow.f64 t 4)) ew) (fma.f64 1/720 (.f64 ew (pow.f64 t 6)) (.f64 1/2 (.f64 ew (*.f64 t t)))))
(-.f64 (fma.f64 1/24 (.f64 ew (pow.f64 t 4)) ew) (.f64 ew (+.f64 (.f64 1/2 (.f64 t t)) (*.f64 1/720 (pow.f64 t 6)))))
(+.f64 ew (.f64 ew (-.f64 (.f64 1/24 (pow.f64 t 4)) (fma.f64 1/2 (.f64 t t) (.f64 1/720 (pow.f64 t 6))))))
(.f64 ew (-.f64 (fma.f64 1/24 (pow.f64 t 4) 1) (fma.f64 1/2 (.f64 t t) (*.f64 1/720 (pow.f64 t 6)))))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))

prune180.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	230	3	233
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	230	4	234

Error

0.1b

Counts

234 → 4

Alt Table

Status	Error	Program
▶	0.8b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 3) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
✓	0.1b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
	29.7b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (cbrt.f64 (pow.f64 (.f64 ew (cos.f64 t)) 3)) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
	29.9b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (pow.f64 (sqrt.f64 (.f64 ew (cos.f64 t))) 2) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))

Compiler

Compiled 8417 to 2129 computations (74.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (*.f64 ew (cos.f64 t)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 3)
	3.0b	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
	22.4b	(cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))))

series20.0ms (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	ew	@	0	(pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 3)
4.0ms	t	@	inf	(pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 3)
4.0ms	ew	@	-inf	(pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 3)
2.0ms	t	@	-inf	(pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 3)
1.0ms	t	@	0	(pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 3)

rewrite36.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	14
2	1669	14

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 ew (cos.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 ew (cos.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cos.f64 t) ew)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 ew (cos.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 ew (cos.f64 t))) (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 ew (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2) (cbrt.f64 (.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 ew) (.f64 (cbrt.f64 (cos.f64 t)) (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 ew) 2) (.f64 (cbrt.f64 ew) (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) 2) (.f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2) (.f64 (cbrt.f64 (cos.f64 t)) ew))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 ew (cos.f64 t))) (sqrt.f64 (.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 ew) (.f64 (sqrt.f64 ew) (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 ew (cos.f64 t)) 1/6) (.f64 (pow.f64 (.f64 ew (cos.f64 t)) 1/6) (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cos.f64 t)) (.f64 (sqrt.f64 (cos.f64 t)) ew))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) 2) 3) (cbrt.f64 (.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 ew (cos.f64 t)) 1/6) 3) (pow.f64 (pow.f64 (.f64 ew (cos.f64 t)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 ew (pow.f64 (cbrt.f64 (cos.f64 t)) 2)) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 ew (sqrt.f64 (cos.f64 t))) (sqrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 t) (pow.f64 (cbrt.f64 ew) 2)) (cbrt.f64 ew))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cos.f64 t) (sqrt.f64 ew)) (sqrt.f64 ew))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2) 1) (cbrt.f64 (.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2) (cbrt.f64 ew)) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) 2)) (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2) (pow.f64 (.f64 ew (cos.f64 t)) 1/6)) (pow.f64 (.f64 ew (cos.f64 t)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 ew (cos.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 ew) (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 ew (cos.f64 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 ew 3) (pow.f64 (cos.f64 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (cos.f64 t) 3) (pow.f64 ew 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 ew (cos.f64 t))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 ew (cos.f64 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 ew) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) (pow.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) 2) (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 ew))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 ew (cos.f64 t)) 1/6) (pow.f64 (.f64 ew (cos.f64 t)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (.f64 ew (cos.f64 t))) 1/3) (pow.f64 (sqrt.f64 (.f64 ew (cos.f64 t))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 ew (cos.f64 t)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 ew (cos.f64 t)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 ew (cos.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 ew (cos.f64 t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 ew (cos.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 t) ew)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 ew (cos.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 ew (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2) (cbrt.f64 (*.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 ew) (*.f64 (cbrt.f64 (cos.f64 t)) (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 ew) 2) (*.f64 (cbrt.f64 ew) (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2) (*.f64 (cbrt.f64 (cos.f64 t)) ew))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 ew (cos.f64 t))) (sqrt.f64 (*.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 ew) (*.f64 (sqrt.f64 ew) (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 1/6) (*.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 1/6) (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 t)) (*.f64 (sqrt.f64 (cos.f64 t)) ew))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) 2) 3) (cbrt.f64 (*.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 ew (pow.f64 (cbrt.f64 (cos.f64 t)) 2)) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 ew (sqrt.f64 (cos.f64 t))) (sqrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 t) (pow.f64 (cbrt.f64 ew) 2)) (cbrt.f64 ew))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 t) (sqrt.f64 ew)) (sqrt.f64 ew))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2) 1) (cbrt.f64 (*.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2) (cbrt.f64 ew)) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2) (pow.f64 (*.f64 ew (cos.f64 t)) 1/6)) (pow.f64 (*.f64 ew (cos.f64 t)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 ew) (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 ew 3) (pow.f64 (cos.f64 t) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 t) 3) (pow.f64 ew 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 ew (cos.f64 t))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 ew) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 ew))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 1/6) (pow.f64 (*.f64 ew (cos.f64 t)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 ew (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 ew (cos.f64 t))) 1/3) (pow.f64 (sqrt.f64 (*.f64 ew (cos.f64 t))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 ew (cos.f64 t)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 ew (cos.f64 t)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 ew (cos.f64 t))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 ew (cos.f64 t)))))))))

simplify38.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

528×	`fma-neg_binary64`
352×	`*-commutative_binary64`
333×	`distribute-rgt-neg-in_binary64`
327×	`distribute-lft-neg-in_binary64`
190×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	272
1	126	265
2	420	248
3	1858	244
4	4883	244

Stop Event

1×	node limit

Counts

80 → 73

Calls

Call 1

Inputs
ew
(-.f64 ew (.f64 1/2 (.f64 (pow.f64 t 2) ew)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) ew)) ew) (.f64 1/2 (.f64 (pow.f64 t 2) ew)))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) ew)) ew) (+.f64 (.f64 1/720 (.f64 (pow.f64 t 6) ew)) (.f64 1/2 (.f64 (pow.f64 t 2) ew))))
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(*.f64 (cos.f64 t) ew)
(pow.f64 ew 1/3)
(-.f64 (pow.f64 ew 1/3) (.f64 1/6 (.f64 (pow.f64 t 2) (pow.f64 ew 1/3))))
(-.f64 (pow.f64 ew 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 t 4) (pow.f64 ew 1/3))) (.f64 1/6 (.f64 (pow.f64 t 2) (pow.f64 ew 1/3)))))
(-.f64 (pow.f64 ew 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 t 4) (pow.f64 ew 1/3))) (+.f64 (.f64 23/6480 (.f64 (pow.f64 t 6) (pow.f64 ew 1/3))) (.f64 1/6 (.f64 (pow.f64 t 2) (pow.f64 ew 1/3))))))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)

Outputs
ew
(-.f64 ew (.f64 1/2 (.f64 (pow.f64 t 2) ew)))
(+.f64 ew (.f64 -1/2 (.f64 ew (*.f64 t t))))
(-.f64 ew (.f64 (.f64 1/2 ew) (*.f64 t t)))
(fma.f64 (.f64 ew -1/2) (.f64 t t) ew)
(fma.f64 (.f64 t (.f64 t -1/2)) ew ew)
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) ew)) ew) (.f64 1/2 (.f64 (pow.f64 t 2) ew)))
(+.f64 (fma.f64 1/24 (.f64 ew (pow.f64 t 4)) ew) (.f64 -1/2 (.f64 ew (.f64 t t))))
(fma.f64 1/24 (.f64 ew (pow.f64 t 4)) (-.f64 ew (.f64 (.f64 1/2 ew) (.f64 t t))))
(.f64 ew (+.f64 (.f64 (*.f64 t t) -1/2) (fma.f64 1/24 (pow.f64 t 4) 1)))
(+.f64 ew (.f64 ew (fma.f64 1/24 (pow.f64 t 4) (.f64 t (*.f64 t -1/2)))))
(-.f64 (+.f64 (.f64 1/24 (.f64 (pow.f64 t 4) ew)) ew) (+.f64 (.f64 1/720 (.f64 (pow.f64 t 6) ew)) (.f64 1/2 (.f64 (pow.f64 t 2) ew))))
(-.f64 (fma.f64 1/24 (.f64 ew (pow.f64 t 4)) ew) (fma.f64 1/720 (.f64 ew (pow.f64 t 6)) (.f64 1/2 (.f64 ew (*.f64 t t)))))
(-.f64 (fma.f64 1/24 (.f64 ew (pow.f64 t 4)) ew) (.f64 ew (+.f64 (.f64 1/2 (.f64 t t)) (*.f64 1/720 (pow.f64 t 6)))))
(+.f64 ew (.f64 ew (-.f64 (.f64 1/24 (pow.f64 t 4)) (fma.f64 1/2 (.f64 t t) (.f64 1/720 (pow.f64 t 6))))))
(.f64 ew (-.f64 (fma.f64 1/24 (pow.f64 t 4) 1) (fma.f64 1/2 (.f64 t t) (*.f64 1/720 (pow.f64 t 6)))))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(*.f64 (cos.f64 t) ew)
(*.f64 ew (cos.f64 t))
(pow.f64 ew 1/3)
(cbrt.f64 ew)
(-.f64 (pow.f64 ew 1/3) (.f64 1/6 (.f64 (pow.f64 t 2) (pow.f64 ew 1/3))))
(+.f64 (cbrt.f64 ew) (.f64 -1/6 (.f64 (*.f64 t t) (cbrt.f64 ew))))
(+.f64 (cbrt.f64 ew) (.f64 (.f64 (*.f64 t t) (cbrt.f64 ew)) -1/6))
(fma.f64 (.f64 t (.f64 t (cbrt.f64 ew))) -1/6 (cbrt.f64 ew))
(-.f64 (pow.f64 ew 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 t 4) (pow.f64 ew 1/3))) (.f64 1/6 (.f64 (pow.f64 t 2) (pow.f64 ew 1/3)))))
(-.f64 (cbrt.f64 ew) (fma.f64 1/72 (.f64 (pow.f64 t 4) (cbrt.f64 ew)) (.f64 1/6 (.f64 (.f64 t t) (cbrt.f64 ew)))))
(-.f64 (cbrt.f64 ew) (.f64 (cbrt.f64 ew) (+.f64 (.f64 (.f64 t t) 1/6) (.f64 (pow.f64 t 4) 1/72))))
(-.f64 (cbrt.f64 ew) (.f64 (cbrt.f64 ew) (fma.f64 (.f64 t t) 1/6 (*.f64 (pow.f64 t 4) 1/72))))
(.f64 (cbrt.f64 ew) (-.f64 (+.f64 1 (.f64 (pow.f64 t 4) -1/72)) (.f64 t (.f64 t 1/6))))
(-.f64 (pow.f64 ew 1/3) (+.f64 (.f64 1/72 (.f64 (pow.f64 t 4) (pow.f64 ew 1/3))) (+.f64 (.f64 23/6480 (.f64 (pow.f64 t 6) (pow.f64 ew 1/3))) (.f64 1/6 (.f64 (pow.f64 t 2) (pow.f64 ew 1/3))))))
(-.f64 (cbrt.f64 ew) (fma.f64 1/72 (.f64 (pow.f64 t 4) (cbrt.f64 ew)) (fma.f64 23/6480 (.f64 (pow.f64 t 6) (cbrt.f64 ew)) (.f64 1/6 (.f64 (*.f64 t t) (cbrt.f64 ew))))))
(-.f64 (cbrt.f64 ew) (fma.f64 1/72 (.f64 (pow.f64 t 4) (cbrt.f64 ew)) (.f64 (cbrt.f64 ew) (+.f64 (.f64 (.f64 t t) 1/6) (*.f64 (pow.f64 t 6) 23/6480)))))
(-.f64 (cbrt.f64 ew) (.f64 (cbrt.f64 ew) (+.f64 (.f64 (pow.f64 t 4) 1/72) (fma.f64 (pow.f64 t 6) 23/6480 (.f64 (.f64 t t) 1/6)))))
(.f64 (cbrt.f64 ew) (-.f64 (+.f64 1 (.f64 (pow.f64 t 4) -1/72)) (fma.f64 (.f64 t t) 1/6 (.f64 (pow.f64 t 6) 23/6480))))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))
(pow.f64 (*.f64 (cos.f64 t) ew) 1/3)
(cbrt.f64 (*.f64 ew (cos.f64 t)))

prune286.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	173	4	177
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	175	6	181

Error

0.1b

Counts

181 → 6

Alt Table

Status	Error	Program
	16.4b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (sqrt.f64 (cos.f64 t)) (.f64 (sqrt.f64 (cos.f64 t)) ew)) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
✓	0.1b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
✓	0.8b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 3) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
	0.8b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 2) (cbrt.f64 ew)) (cbrt.f64 (cos.f64 t))) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
▶	0.4b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2) (.f64 (cbrt.f64 (cos.f64 t)) ew)) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
	0.8b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (cbrt.f64 ew) 2) (.f64 (cbrt.f64 ew) (cos.f64 t))) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))

Compiler

Compiled 7079 to 1932 computations (72.7% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f64 (cbrt.f64 (cos.f64 t)) 2)
✓	0.3b	(cbrt.f64 (cos.f64 t))
	3.0b	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
	22.4b	(cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))))

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	t	@	inf	(cbrt.f64 (cos.f64 t))
1.0ms	t	@	-inf	(cbrt.f64 (cos.f64 t))
1.0ms	t	@	0	(pow.f64 (cbrt.f64 (cos.f64 t)) 2)
1.0ms	t	@	0	(cbrt.f64 (cos.f64 t))
1.0ms	t	@	inf	(pow.f64 (cbrt.f64 (cos.f64 t)) 2)

rewrite33.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`pow1_binary64`
435×	`add-log-exp_binary64`
435×	`log1p-expm1-u_binary64`
435×	`expm1-log1p-u_binary64`
424×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	13
2	1257	13

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(cbrt.f64 (cos.f64 t))
(pow.f64 (cbrt.f64 (cos.f64 t)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (cos.f64 t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 t) 1/6) (pow.f64 (cos.f64 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 t)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 t)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 t) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 t) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 t))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (cos.f64 t)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 t)) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) (cbrt.f64 (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 t)) (pow.f64 (cos.f64 t) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 t) 1/6) (*.f64 (pow.f64 (cos.f64 t) 1/6) (cbrt.f64 (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 t)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 t))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2)))))))

simplify35.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

560×	`associate-l_binary64`
488×	`associate-r_binary64`
438×	`fma-def_binary64`
432×	`cancel-sign-sub-inv_binary64`
253×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	208
1	111	208
2	280	204
3	950	200
4	4743	200

Stop Event

1×	node limit

Counts

60 → 51

Calls

Call 1

Inputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 t 2)))
(-.f64 1 (+.f64 (.f64 1/72 (pow.f64 t 4)) (.f64 1/6 (pow.f64 t 2))))
(-.f64 1 (+.f64 (.f64 1/72 (pow.f64 t 4)) (+.f64 (.f64 23/6480 (pow.f64 t 6)) (*.f64 1/6 (pow.f64 t 2)))))
(pow.f64 (cos.f64 t) 1/3)
(pow.f64 (cos.f64 t) 1/3)
(pow.f64 (cos.f64 t) 1/3)
(pow.f64 (cos.f64 t) 1/3)
(pow.f64 (cos.f64 t) 1/3)
(pow.f64 (cos.f64 t) 1/3)
(pow.f64 (cos.f64 t) 1/3)
(pow.f64 (cos.f64 t) 1/3)
1
(-.f64 1 (*.f64 1/3 (pow.f64 t 2)))
(-.f64 1 (+.f64 (.f64 1/405 (pow.f64 t 6)) (.f64 1/3 (pow.f64 t 2))))
(-.f64 1 (+.f64 (.f64 1/405 (pow.f64 t 6)) (+.f64 (.f64 1/1701 (pow.f64 t 8)) (*.f64 1/3 (pow.f64 t 2)))))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)

Outputs
1
(-.f64 1 (*.f64 1/6 (pow.f64 t 2)))
(+.f64 1 (.f64 -1/6 (.f64 t t)))
(+.f64 1 (.f64 (.f64 t t) -1/6))
(fma.f64 (*.f64 t -1/6) t 1)
(fma.f64 t (*.f64 t -1/6) 1)
(-.f64 1 (+.f64 (.f64 1/72 (pow.f64 t 4)) (.f64 1/6 (pow.f64 t 2))))
(-.f64 1 (fma.f64 1/72 (pow.f64 t 4) (.f64 1/6 (.f64 t t))))
(-.f64 1 (fma.f64 1/6 (.f64 t t) (.f64 1/72 (pow.f64 t 4))))
(+.f64 (.f64 (pow.f64 t 4) -1/72) (fma.f64 (.f64 t -1/6) t 1))
(fma.f64 t (*.f64 t -1/6) (fma.f64 (pow.f64 t 4) -1/72 1))
(-.f64 1 (+.f64 (.f64 1/72 (pow.f64 t 4)) (+.f64 (.f64 23/6480 (pow.f64 t 6)) (*.f64 1/6 (pow.f64 t 2)))))
(-.f64 1 (fma.f64 1/72 (pow.f64 t 4) (fma.f64 23/6480 (pow.f64 t 6) (.f64 1/6 (.f64 t t)))))
(-.f64 1 (fma.f64 1/72 (pow.f64 t 4) (fma.f64 1/6 (.f64 t t) (.f64 23/6480 (pow.f64 t 6)))))
(-.f64 (fma.f64 (.f64 t -1/6) t 1) (fma.f64 1/72 (pow.f64 t 4) (.f64 23/6480 (pow.f64 t 6))))
(+.f64 1 (fma.f64 t (.f64 t -1/6) (fma.f64 (pow.f64 t 4) -1/72 (.f64 (pow.f64 t 6) -23/6480))))
(pow.f64 (cos.f64 t) 1/3)
(cbrt.f64 (cos.f64 t))
(pow.f64 (cos.f64 t) 1/3)
(cbrt.f64 (cos.f64 t))
(pow.f64 (cos.f64 t) 1/3)
(cbrt.f64 (cos.f64 t))
(pow.f64 (cos.f64 t) 1/3)
(cbrt.f64 (cos.f64 t))
(pow.f64 (cos.f64 t) 1/3)
(cbrt.f64 (cos.f64 t))
(pow.f64 (cos.f64 t) 1/3)
(cbrt.f64 (cos.f64 t))
(pow.f64 (cos.f64 t) 1/3)
(cbrt.f64 (cos.f64 t))
(pow.f64 (cos.f64 t) 1/3)
(cbrt.f64 (cos.f64 t))
1
(-.f64 1 (*.f64 1/3 (pow.f64 t 2)))
(+.f64 1 (.f64 -1/3 (.f64 t t)))
(+.f64 1 (.f64 (.f64 t t) -1/3))
(fma.f64 (*.f64 t t) -1/3 1)
(fma.f64 t (*.f64 t -1/3) 1)
(-.f64 1 (+.f64 (.f64 1/405 (pow.f64 t 6)) (.f64 1/3 (pow.f64 t 2))))
(-.f64 1 (fma.f64 1/405 (pow.f64 t 6) (.f64 (.f64 t t) 1/3)))
(-.f64 1 (fma.f64 (.f64 t t) 1/3 (.f64 (pow.f64 t 6) 1/405)))
(-.f64 1 (fma.f64 t (.f64 t 1/3) (.f64 (pow.f64 t 6) 1/405)))
(fma.f64 t (*.f64 t -1/3) (fma.f64 (pow.f64 t 6) -1/405 1))
(-.f64 1 (+.f64 (.f64 1/405 (pow.f64 t 6)) (+.f64 (.f64 1/1701 (pow.f64 t 8)) (*.f64 1/3 (pow.f64 t 2)))))
(-.f64 1 (fma.f64 1/405 (pow.f64 t 6) (fma.f64 1/1701 (pow.f64 t 8) (.f64 (.f64 t t) 1/3))))
(-.f64 1 (fma.f64 (pow.f64 t 6) 1/405 (fma.f64 (.f64 t t) 1/3 (.f64 1/1701 (pow.f64 t 8)))))
(-.f64 1 (fma.f64 (pow.f64 t 6) 1/405 (fma.f64 t (.f64 t 1/3) (.f64 1/1701 (pow.f64 t 8)))))
(-.f64 (fma.f64 (pow.f64 t 6) -1/405 1) (fma.f64 t (.f64 t 1/3) (.f64 1/1701 (pow.f64 t 8))))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 t) 2))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 t) 2))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 t) 2))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 t) 2))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 t) 2))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 t) 2))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 t) 2))
(pow.f64 (pow.f64 (cos.f64 t) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 t) 2))

prune361.0ms (3.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	183	6	189

Error

0.1b

Counts

189 → 6

Alt Table

Status	Error	Program
✓	0.8b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 3) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
	16.4b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 t) 1/6) 2) 2) (.f64 (cbrt.f64 (cos.f64 t)) ew)) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
✓	0.1b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
▶	0.2b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 t)) ew)) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
✓	0.4b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2) (.f64 (cbrt.f64 (cos.f64 t)) ew)) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
	0.8b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (cbrt.f64 ew) 2) (.f64 (cbrt.f64 ew) (cos.f64 t))) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))

Compiler

Compiled 7994 to 2218 computations (72.3% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (cos.f64 t) 2)
	0.3b	(cbrt.f64 (cos.f64 t))
	3.0b	(*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))
	22.4b	(cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew)))))

series2.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	t	@	0	(pow.f64 (cos.f64 t) 2)
0.0ms	t	@	inf	(pow.f64 (cos.f64 t) 2)
0.0ms	t	@	-inf	(pow.f64 (cos.f64 t) 2)

rewrite29.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

407×	`pow1_binary64`
375×	`add-log-exp_binary64`
375×	`log1p-expm1-u_binary64`
375×	`expm1-log1p-u_binary64`
366×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	102	6
2	1067	6

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(pow.f64 (cos.f64 t) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 t))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cos.f64 t) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 t) (cos.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 t) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cos.f64 t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 t) 2)) (cbrt.f64 (pow.f64 (cos.f64 t) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 t) 2)) (*.f64 (cbrt.f64 (cos.f64 t)) (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 t) 4)) (cbrt.f64 (pow.f64 (cos.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 t)) (*.f64 (sqrt.f64 (cos.f64 t)) (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 t) (sqrt.f64 (cos.f64 t))) (sqrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 t) (cbrt.f64 (pow.f64 (cos.f64 t) 2))) (cbrt.f64 (cos.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 (+.f64 t t)) (cos.f64 (-.f64 t t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cos.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (cos.f64 t) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cos.f64 t) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cos.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cos.f64 t) 2)))))))

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

884×	`fma-neg_binary64`
342×	`distribute-rgt-neg-in_binary64`
312×	`distribute-lft-neg-in_binary64`
285×	`unswap-sqr_binary64`
201×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	43
1	46	43
2	121	43
3	372	43
4	1700	43

Stop Event

1×	node limit

Counts

22 → 25

Calls

Call 1

Inputs
1
(-.f64 1 (pow.f64 t 2))
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 t 4)) 1) (pow.f64 t 2))
(-.f64 (+.f64 (.f64 1/3 (pow.f64 t 4)) 1) (+.f64 (.f64 2/45 (pow.f64 t 6)) (pow.f64 t 2)))

Outputs
1
(-.f64 1 (pow.f64 t 2))
(-.f64 1 (*.f64 t t))
(-.f64 (+.f64 (*.f64 1/3 (pow.f64 t 4)) 1) (pow.f64 t 2))
(-.f64 (fma.f64 1/3 (pow.f64 t 4) 1) (*.f64 t t))
(fma.f64 1/3 (pow.f64 t 4) (-.f64 1 (*.f64 t t)))
(-.f64 (*.f64 1/3 (pow.f64 t 4)) (fma.f64 t t -1))
(-.f64 1 (fma.f64 t t (*.f64 (pow.f64 t 4) -1/3)))
(-.f64 (+.f64 (.f64 1/3 (pow.f64 t 4)) 1) (+.f64 (.f64 2/45 (pow.f64 t 6)) (pow.f64 t 2)))
(-.f64 (fma.f64 1/3 (pow.f64 t 4) 1) (fma.f64 2/45 (pow.f64 t 6) (*.f64 t t)))
(-.f64 (fma.f64 1/3 (pow.f64 t 4) 1) (fma.f64 t t (*.f64 2/45 (pow.f64 t 6))))
(-.f64 (*.f64 1/3 (pow.f64 t 4)) (fma.f64 t (fma.f64 2/45 (pow.f64 t 5) t) -1))

prune284.0ms (2.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	157	6	163

Error

0.1b

Counts

163 → 6

Alt Table

Status	Error	Program
✓	0.8b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (pow.f64 (cbrt.f64 (.f64 ew (cos.f64 t))) 3) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
	16.4b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (cos.f64 t) 1/6) 2) 2) (.f64 (cbrt.f64 (cos.f64 t)) ew)) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
✓	0.1b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
✓	0.2b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (pow.f64 (cos.f64 t) 2) 1/3) (.f64 (cbrt.f64 (cos.f64 t)) ew)) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
✓	0.4b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (cbrt.f64 (cos.f64 t)) 2) (.f64 (cbrt.f64 (cos.f64 t)) ew)) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))
	0.8b	(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (.f64 (neg.f64 eh) (sin.f64 t)) (.f64 (.f64 (pow.f64 (cbrt.f64 ew) 2) (.f64 (cbrt.f64 ew) (cos.f64 t))) (cos.f64 (atan.f64 (.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))))))

Compiler

Compiled 6934 to 2191 computations (68.4% saved)

regimes161.0ms (1.4%)

Accuracy

Total 0.0b remaining (31.7%)

Threshold costs 0.0b (31.7%)

Counts

43 → 1

Compiler

Compiled 1566 to 347 computations (77.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	48
1	35	48
2	45	48
3	53	48
4	56	48
5	57	48

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (*.f64 (neg.f64 eh) (sin.f64 t)) (*.f64 (*.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))))

Outputs

(fabs.f64 (fma.f64 (sin.f64 (atan.f64 (*.f64 eh (/.f64 (tan.f64 t) (neg.f64 ew))))) (*.f64 (neg.f64 eh) (sin.f64 t)) (*.f64 (*.f64 ew (cos.f64 t)) (cos.f64 (atan.f64 (/.f64 (*.f64 eh (tan.f64 t)) ew))))))

end161.0ms (1.4%)

Stop Event

1×

fuel

Compiler

Compiled 296 to 175 computations (40.9% saved)

Details

analyze3.3s (28.4%)

sample6.2s (54.2%)

preprocess49.0ms (0.4%)

simplify37.0ms (0.3%)

prune3.0ms (0%)

localize25.0ms (0.2%)

series36.0ms (0.3%)

rewrite59.0ms (0.5%)

simplify59.0ms (0.5%)

prune180.0ms (1.6%)

localize26.0ms (0.2%)

series20.0ms (0.2%)

rewrite36.0ms (0.3%)

simplify38.0ms (0.3%)

prune286.0ms (2.5%)

localize27.0ms (0.2%)

series7.0ms (0.1%)

rewrite33.0ms (0.3%)

simplify35.0ms (0.3%)

prune361.0ms (3.1%)

localize30.0ms (0.3%)

series2.0ms (0%)

rewrite29.0ms (0.3%)

simplify21.0ms (0.2%)

prune284.0ms (2.5%)

regimes161.0ms (1.4%)

simplify4.0ms (0%)

end161.0ms (1.4%)

Profiling