Metrics for VandenBroeck and Keller, Equation (20)

analyze270.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	75%	0%	0%	25%	0%	3
0%	0%	62.5%	0%	0%	25%	12.5%	4
0%	0%	56.2%	0%	0%	25%	18.7%	5
0%	0%	53.1%	0%	0%	25%	21.9%	6
3.1%	1.6%	48.4%	0%	0%	26.5%	23.4%	7
4.8%	2.3%	46.1%	0%	0%	27.3%	24.2%	8
5.6%	2.7%	45.7%	0%	0%	27.3%	24.2%	9
6%	2.9%	45.5%	0%	0%	27.3%	24.2%	10
6.3%	3%	45.4%	0%	0%	27.3%	24.2%	11
6.4%	3.1%	45.2%	0%	0%	27.4%	24.3%	12

Compiler

Compiled 39 to 17 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-mult: 49.0ms (29.3% of total)

ival-div: 34.0ms (20.3% of total)

ival-exp: 25.0ms (15% of total)

ival-neg: 16.0ms (9.6% of total)

ival-pi: 11.0ms (6.6% of total)

ival-log: 11.0ms (6.6% of total)

ival-add: 9.0ms (5.4% of total)

ival-sub: 9.0ms (5.4% of total)

const: 3.0ms (1.8% of total)

backward-pass: 1.0ms (0.6% of total)

sample5.9s (32.6%)

Results

2.4s	7364×	1	invalid
2.3s	7723×	1	valid
154.0ms	154×	2	valid
49.0ms	379×	0	valid
0.0ms	5×	0	unsamplable
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 4.2s

ival-exp: 1.1s (25.4% of total)

ival-div: 789.0ms (18.9% of total)

ival-mult: 553.0ms (13.3% of total)

backward-pass: 505.0ms (12.1% of total)

ival-log: 366.0ms (8.8% of total)

ival-neg: 315.0ms (7.5% of total)

ival-pi: 219.0ms (5.2% of total)

ival-add: 167.0ms (4% of total)

ival-sub: 155.0ms (3.7% of total)

const: 45.0ms (1.1% of total)

Bogosity

preprocess297.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

2270×	`sum3-define`
1954×	`fnmadd-define`
1910×	`fnmadd-define`
1778×	`fma-define`
1496×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	115
1	85	96
2	247	96
3	632	96
4	1381	96
5	2445	96
6	3749	96
7	4326	96
8	4892	96
9	5372	96
10	6040	72
11	7365	60
0	16	36
1	46	32
2	123	32
3	271	32
4	464	32
5	679	32
6	913	32
7	1218	32
8	1868	32
9	2313	32
10	3051	32
11	4744	32
12	5300	32
13	5563	32
14	6101	32
15	7504	32
0	8030	32

Stop Event

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

Calls

Call 1

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

Outputs

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

(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal -4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))

Call 2

Inputs

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

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

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

Outputs
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
(* (log (- (recip (expm1 (* (* (PI) f) 1/2))) (recip (expm1 (* (* (PI) f) -1/2))))) (/ -4 (PI)))
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))) (- (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f)))))))))
(* (log (- (recip (expm1 (* (* (PI) f) -1/2))) (recip (expm1 (* (* (PI) f) 1/2))))) (/ -4 (PI)))
(neg (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))) (- (exp (* (/ (PI) 4) (neg f))) (exp (neg (* (/ (PI) 4) (neg f))))))))))
(* (/ 4 (PI)) (log (- (recip (expm1 (* (* (PI) f) -1/2))) (recip (expm1 (* (* (PI) f) 1/2))))))

explain327.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
248	0	-	-	`(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
6	0	-	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
0	0	-	-	`(PI.f64)`
0	0	-	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	-	`f`
0	0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	-	`#s(literal 1 binary64)`
0	1	(4.571667417917401)	-	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
0	0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`

Results

190.0ms	486×	1	valid
13.0ms	12×	2	valid
2.0ms	14×	0	valid

Compiler

Compiled 434 to 50 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-exp: 31.0ms (21.8% of total)

ival-div: 23.0ms (16.2% of total)

ival-log: 22.0ms (15.5% of total)

ival-mult: 19.0ms (13.4% of total)

backward-pass: 16.0ms (11.3% of total)

ival-neg: 9.0ms (6.3% of total)

ival-pi: 8.0ms (5.6% of total)

ival-add: 6.0ms (4.2% of total)

ival-sub: 5.0ms (3.5% of total)

const: 2.0ms (1.4% of total)

eval0.0ms (0%)

Compiler: Compiled 33 to 16 computations (51.5% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	5.1%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))

Status

Accuracy

Program

▶

5.1%

(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal -4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))

Compiler

Compiled 33 to 16 computations (51.5% saved)

simplify56.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))
✓	cost-diff	(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))
✓	cost-diff	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))))
✓	cost-diff	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))

Rules

852×	`fnmadd-define`
640×	`sum5-define`
558×	`fmsub-define`
556×	`fnmsub-define`
510×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	148
1	28	148
2	43	148
3	61	148
4	77	148
5	119	148
6	198	148
7	311	148
8	479	148
9	852	148
10	1699	148
11	2930	148
12	2932	148
13	2970	148
14	3339	148
15	3355	148
0	3355	148

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
(log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))))
(/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))
(+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))
(exp (* (PI) (/ f 4)))
(* (PI) (/ f 4))
(PI)
(/ f 4)
f
4
(exp (/ (* (PI) f) -4))
(/ (* (PI) f) -4)
(* (PI) f)
-4
(- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))
(/ (PI) -4)

Outputs
(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))))
(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64)))))))
(/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))
(/.f64 (+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))
(+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))
(+.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64)))))
(exp (* (PI) (/ f 4)))
(exp.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(* (PI) (/ f 4))
(*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))
(PI)
(PI.f64)
(/ f 4)
(/.f64 f #s(literal 4 binary64))
f
4
#s(literal 4 binary64)
(exp (/ (* (PI) f) -4))
(exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))
(/ (* (PI) f) -4)
(*.f64 (PI.f64) (/.f64 f #s(literal -4 binary64)))
(* (PI) f)
(*.f64 (PI.f64) f)
-4
#s(literal -4 binary64)
(- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))
(-.f64 (exp.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64)))))
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))

localize155.0ms (0.9%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	97.3%	(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))
✓	accuracy	9.4%	(-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))

Results

120.0ms	245×	1	valid
6.0ms	6×	2	valid
1.0ms	5×	0	valid

Compiler

Compiled 150 to 17 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-exp: 27.0ms (35.3% of total)

ival-div: 17.0ms (22.2% of total)

ival-mult: 9.0ms (11.8% of total)

backward-pass: 8.0ms (10.5% of total)

ival-log: 7.0ms (9.1% of total)

ival-pi: 3.0ms (3.9% of total)

ival-add: 3.0ms (3.9% of total)

ival-sub: 2.0ms (2.6% of total)

const: 1.0ms (1.3% of total)

series95.0ms (0.5%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))>
#<alt (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))))>
#<alt (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))>
#<alt (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))>
#<alt (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))>
#<alt (* (PI) f)>

Outputs
#<alt (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* -2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* -2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))))))))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f)))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* 1/2 (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))>
#<alt (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* -1 (log f)) (* f (+ (* 1/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (+ (* 1/6 (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))) (* 1/2 (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
#<alt (/ 2 (* f (- (* 1/4 (PI)) (* -1/4 (PI)))))>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))>
#<alt 2>
#<alt (+ 2 (* f (+ (* -1/4 (PI)) (* 1/4 (PI)))))>
#<alt (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/16 (* f (pow (PI) 2))) (* 1/4 (PI))))))>
#<alt (+ 2 (* f (+ (* -1/4 (PI)) (+ (* 1/4 (PI)) (* f (+ (* 1/16 (pow (PI) 2)) (* f (+ (* -1/384 (pow (PI) 3)) (* 1/384 (pow (PI) 3))))))))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI)))))>
#<alt (* f (- (* 1/4 (PI)) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>

Calls

18 calls:

Time	Variable		Point	Expression
44.0ms	f	@	inf	(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
40.0ms	f	@	-inf	(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
6.0ms	f	@	0	(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
1.0ms	f	@	0	(log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))))
1.0ms	f	@	0	(- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))

rewrite349.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4992×	`-lowering-.f32`
4992×	`-lowering-.f64`
3834×	`/-lowering-/.f32`
3834×	`/-lowering-/.f64`
1270×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	116
1	101	116
2	708	45
0	8562	45

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 529

Calls

Call 1

Inputs
(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
(log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))))
(/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))
(+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))
(- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))
(* (PI) f)

Outputs
(+.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (neg.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))))
(+.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64))))
(+.f64 (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64)))))
(neg.f64 (*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(/.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
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(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (exp.f64 (+.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)) (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))))
(/.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64)))))))
(.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64))))))))
(.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64))))))))
(.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64))))))))
(.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64)))))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal -3/4 binary64)))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64))))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64))))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64))))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64)))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64))))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64))))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64)))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1 binary64)) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64)))))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64)))) (+.f64 (exp.f64 (.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64)))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64)))) (-.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64)))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 3/4 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -3/4 binary64)))) (-.f64 (exp.f64 (+.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)) (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64)))) (pow.f64 (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 0 binary64)))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))) (+.f64 (exp.f64 (.f64 (.f64 (PI.f64) f) #s(literal -1/2 binary64))) (exp.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 0 binary64))))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) f)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) f)))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(.f64 (.f64 (PI.f64) f) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) f))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) f))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (PI.f64)) (*.f64 (cbrt.f64 (PI.f64)) f)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f)))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) f))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) f))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (-.f64 #s(literal 0 binary64) f))
(*.f64 (-.f64 #s(literal 0 binary64) f) (-.f64 #s(literal 0 binary64) (PI.f64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (.f64 (PI.f64) f)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (PI.f64)) f)))
(.f64 (.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 f (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 f (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (.f64 (*.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (.f64 (*.f64 f (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(.f64 (.f64 (*.f64 f (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(.f64 (.f64 (*.f64 f (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))

simplify208.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2958×	`-lowering-.f32`
2958×	`-lowering-.f64`
2784×	`+-lowering-+.f64`
2784×	`+-lowering-+.f32`
1328×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	192	1552
1	616	1366
2	2768	1299
0	9150	1299

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))
(+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* -2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))
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(.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) (.f64 (.f64 f f) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/192 binary64)) (.f64 (.f64 f f) (+.f64 (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)) (.f64 (.f64 f f) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64)))))))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) f))) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)

eval109.0ms (0.6%)

Compiler: Compiled 29106 to 2501 computations (91.4% saved)

prune91.0ms (0.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	622	17	639
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	623	17	640

Accuracy

100.0%

Counts

640 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	98.6%	(/.f64 (/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -4 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
▶	99.5%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (PI.f64))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
▶	97.0%	(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	96.5%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	97.1%	(/.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	98.6%	(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (cbrt.f64 (PI.f64)))
	96.5%	(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))))
▶	99.3%	(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (sqrt.f64 (PI.f64)))
	96.6%	(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64))) #s(literal -4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) (PI.f64)))
▶	96.4%	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	97.1%	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.7%	(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/192 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
	96.9%	(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
	99.4%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))

Compiler

Compiled 942 to 544 computations (42.3% saved)

simplify209.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	128	(*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	256	(-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
✓	cost-diff	768	(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
✓	cost-diff	0	(sqrt.f64 (PI.f64))
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
✓	cost-diff	13056	(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (sqrt.f64 (PI.f64)))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	128	(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	cost-diff	128	(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))
✓	cost-diff	128	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)
✓	cost-diff	128	(log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f))
✓	cost-diff	128	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	cost-diff	128	(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64))
✓	cost-diff	128	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (PI.f64))

Rules

3668×	`-lowering-.f32`
3668×	`-lowering-.f64`
2100×	`/-lowering-/.f32`
2100×	`/-lowering-/.f64`
1608×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	365
1	111	343
2	297	331
3	863	329
4	3399	329
0	8395	329

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4) (PI))
(/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4)
(log (/ 1 (tanh (/ (PI) (/ 4 f)))))
(/ 1 (tanh (/ (PI) (/ 4 f))))
1
(tanh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(PI)
(/ 4 f)
4
f
-1/4
(/ (log (/ (/ 2 (* (PI) 1/2)) f)) (/ (PI) -4))
(log (/ (/ 2 (* (PI) 1/2)) f))
(/ (/ 2 (* (PI) 1/2)) f)
(/ 2 (* (PI) 1/2))
2
(* (PI) 1/2)
(PI)
1/2
f
(/ (PI) -4)
-4
(/ (- (log (/ 2 (* (PI) 1/2))) (log f)) (/ (PI) -4))
(- (log (/ 2 (* (PI) 1/2))) (log f))
(log (/ 2 (* (PI) 1/2)))
(/ 2 (* (PI) 1/2))
2
(* (PI) 1/2)
(PI)
1/2
(log f)
f
(/ (PI) -4)
-4
(/ (* (/ -4 (sqrt (PI))) (log (/ 1 (tanh (/ (PI) (/ 4 f)))))) (sqrt (PI)))
(* (/ -4 (sqrt (PI))) (log (/ 1 (tanh (/ (PI) (/ 4 f))))))
(/ -4 (sqrt (PI)))
-4
(sqrt (PI))
(PI)
(log (/ 1 (tanh (/ (PI) (/ 4 f)))))
(/ 1 (tanh (/ (PI) (/ 4 f))))
1
(tanh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(/ 4 f)
4
f
(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
(- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f)))))))
(* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4))
(log (* 2 (cosh (/ (PI) (/ 4 f)))))
(* 2 (cosh (/ (PI) (/ 4 f))))
2
(cosh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(PI)
(/ 4 f)
4
f
(/ (PI) -4)
-4
(* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))
(log (* 2 (sinh (/ (PI) (/ 4 f)))))
(* 2 (sinh (/ (PI) (/ 4 f))))
(sinh (/ (PI) (/ 4 f)))
(* (/ (PI) -4) (/ (PI) -4))

Outputs
(/ (/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4) (PI))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4)
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))
(log (/ 1 (tanh (/ (PI) (/ 4 f)))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/ 1 (tanh (/ (PI) (/ 4 f))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
1
#s(literal 1 binary64)
(tanh (/ (PI) (/ 4 f)))
(tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/ (PI) (/ 4 f))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(PI)
(PI.f64)
(/ 4 f)
(/.f64 #s(literal 4 binary64) f)
4
#s(literal 4 binary64)
f
-1/4
#s(literal -1/4 binary64)
(/ (log (/ (/ 2 (* (PI) 1/2)) f)) (/ (PI) -4))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log (/ (/ 2 (* (PI) 1/2)) f))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/ (/ 2 (* (PI) 1/2)) f)
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 2 (* (PI) 1/2))
(/.f64 #s(literal 4 binary64) (PI.f64))
2
#s(literal 2 binary64)
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
f
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (- (log (/ 2 (* (PI) 1/2))) (log f)) (/ (PI) -4))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(- (log (/ 2 (* (PI) 1/2))) (log f))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log (/ 2 (* (PI) 1/2)))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ 2 (* (PI) 1/2))
(/.f64 #s(literal 4 binary64) (PI.f64))
2
#s(literal 2 binary64)
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(log f)
(log.f64 f)
f
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (* (/ -4 (sqrt (PI))) (log (/ 1 (tanh (/ (PI) (/ 4 f)))))) (sqrt (PI)))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(* (/ -4 (sqrt (PI))) (log (/ 1 (tanh (/ (PI) (/ 4 f))))))
(*.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))))
(/ -4 (sqrt (PI)))
(/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))
-4
#s(literal -4 binary64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(PI)
(PI.f64)
(log (/ 1 (tanh (/ (PI) (/ 4 f)))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/ 1 (tanh (/ (PI) (/ 4 f))))
(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
1
#s(literal 1 binary64)
(tanh (/ (PI) (/ 4 f)))
(tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/ (PI) (/ 4 f))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(/ 4 f)
(/.f64 #s(literal 4 binary64) f)
4
#s(literal 4 binary64)
f
(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
(/.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f)))))))
(.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4))
(.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(log (* 2 (cosh (/ (PI) (/ 4 f)))))
(log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(* 2 (cosh (/ (PI) (/ 4 f))))
(*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
2
#s(literal 2 binary64)
(cosh (/ (PI) (/ 4 f)))
(cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/ (PI) (/ 4 f))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(PI)
(PI.f64)
(/ 4 f)
(/.f64 #s(literal 4 binary64) f)
4
#s(literal 4 binary64)
f
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))
(.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(log (* 2 (sinh (/ (PI) (/ 4 f)))))
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(* 2 (sinh (/ (PI) (/ 4 f))))
(*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(sinh (/ (PI) (/ 4 f)))
(sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(* (/ (PI) -4) (/ (PI) -4))
(/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))

localize276.0ms (1.5%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
✓	accuracy	99.4%	(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
✓	accuracy	97.7%	(log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	accuracy	97.7%	(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.4%	(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (sqrt.f64 (PI.f64)))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))
✓	accuracy	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	99.3%	(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.5%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (PI.f64))

Results

179.0ms	250×	0	valid
14.0ms	6×	2	valid

Compiler

Compiled 381 to 41 computations (89.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 77.0ms (55.9% of total)

ival-div: 23.0ms (16.7% of total)

ival-log: 23.0ms (16.7% of total)

ival-cosh: 3.0ms (2.2% of total)

ival-sub: 3.0ms (2.2% of total)

ival-sinh: 2.0ms (1.5% of total)

ival-sqrt: 2.0ms (1.5% of total)

ival-tanh: 2.0ms (1.5% of total)

const: 1.0ms (0.7% of total)

ival-pi: 1.0ms (0.7% of total)

backward-pass: 1.0ms (0.7% of total)

series419.0ms (2.3%)

Counts

24 → 216

Calls

Call 1

Inputs
#<alt (/ (/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4) (PI))>
#<alt (/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4)>
#<alt (log (/ 1 (tanh (/ (PI) (/ 4 f)))))>
#<alt (/ 1 (tanh (/ (PI) (/ 4 f))))>
#<alt (/ (log (/ (/ 2 (* (PI) 1/2)) f)) (/ (PI) -4))>
#<alt (log (/ (/ 2 (* (PI) 1/2)) f))>
#<alt (/ (/ 2 (* (PI) 1/2)) f)>
#<alt (/ 2 (* (PI) 1/2))>
#<alt (/ (- (log (/ 2 (* (PI) 1/2))) (log f)) (/ (PI) -4))>
#<alt (- (log (/ 2 (* (PI) 1/2))) (log f))>
#<alt (log (/ 2 (* (PI) 1/2)))>
#<alt (/ (* (/ -4 (sqrt (PI))) (log (/ 1 (tanh (/ (PI) (/ 4 f)))))) (sqrt (PI)))>
#<alt (* (/ -4 (sqrt (PI))) (log (/ 1 (tanh (/ (PI) (/ 4 f))))))>
#<alt (/ -4 (sqrt (PI)))>
#<alt (sqrt (PI))>
#<alt (/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))>
#<alt (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f)))))))>
#<alt (* (/ (PI) -4) (/ (PI) -4))>
#<alt (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4))>
#<alt (/ (PI) (/ 4 f))>
#<alt (PI)>
#<alt (log (* 2 (sinh (/ (PI) (/ 4 f)))))>
#<alt (log (* 2 (cosh (/ (PI) (/ 4 f)))))>
#<alt (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))>

Outputs
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))) (PI))) (* -2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2)))))))))) (PI))))))))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (+ (* -4 (+ (log (/ 4 (PI))) (* -1 (log f)))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))>
#<alt (+ (* -4 (+ (log (/ 4 (PI))) (* -1 (log f)))) (* f (+ (* -2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))>
#<alt (+ (* -4 (+ (log (/ 4 (PI))) (* -1 (log f)))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* -2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))) (* -2/3 (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2))))))))))))))))>
#<alt (* -4 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -4 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -4 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -4 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -4 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -4 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -4 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -4 (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* -1 (log f))))>
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#<alt (* -4 (* (sqrt (/ 1 (PI))) (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
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#<alt (- (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (- (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (- (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (- (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (- (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (- (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
#<alt (- (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))) (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))))>
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#<alt (+ (* -1/4 (* (PI) (log 2))) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (* f (+ (* -1/96 (* f (* (PI) (+ (* -12 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4))))) (* -3/256 (pow (PI) 4)))))) (* 1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))))))))>
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#<alt (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
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#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (+ (log f) (log (* 1/2 (PI))))>
#<alt (+ (log f) (+ (log (* 1/2 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -24 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (+ (* 12 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (PI))) (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI)))))))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
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#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
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#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/32 (* (pow f 2) (pow (PI) 2))))>
#<alt (+ (log 2) (* (pow f 2) (+ (* -1/2 (* f (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/32 (pow (PI) 2)))))>
#<alt (+ (log 2) (* (pow f 2) (+ (* 1/32 (pow (PI) 2)) (* f (+ (* -1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))) (* 1/24 (* f (+ (* -12 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/1536 (pow (PI) 4))))) (* -3/256 (pow (PI) 4))))))))))>
#<alt (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
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#<alt (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>

Calls

54 calls:

Time	Variable		Point	Expression
124.0ms	f	@	inf	(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
76.0ms	f	@	-inf	(/ (/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4) (PI))
43.0ms	f	@	-inf	(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
32.0ms	f	@	0	(/ (- (log (/ 2 (* (PI) 1/2))) (log f)) (/ (PI) -4))
30.0ms	f	@	inf	(/ (/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4) (PI))

rewrite475.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4040×	`/-lowering-/.f32`
4040×	`/-lowering-/.f64`
2834×	`-lowering-.f32`
2834×	`-lowering-.f64`
1424×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	239
1	249	215
2	2013	213
0	8307	213

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1307

Calls

Call 1

Inputs
(/ (/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4) (PI))
(/ (log (/ 1 (tanh (/ (PI) (/ 4 f))))) -1/4)
(log (/ 1 (tanh (/ (PI) (/ 4 f)))))
(/ 1 (tanh (/ (PI) (/ 4 f))))
(/ (log (/ (/ 2 (* (PI) 1/2)) f)) (/ (PI) -4))
(log (/ (/ 2 (* (PI) 1/2)) f))
(/ (/ 2 (* (PI) 1/2)) f)
(/ 2 (* (PI) 1/2))
(/ (- (log (/ 2 (* (PI) 1/2))) (log f)) (/ (PI) -4))
(- (log (/ 2 (* (PI) 1/2))) (log f))
(log (/ 2 (* (PI) 1/2)))
(/ (* (/ -4 (sqrt (PI))) (log (/ 1 (tanh (/ (PI) (/ 4 f)))))) (sqrt (PI)))
(* (/ -4 (sqrt (PI))) (log (/ 1 (tanh (/ (PI) (/ 4 f))))))
(/ -4 (sqrt (PI)))
(sqrt (PI))
(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
(- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f)))))))
(* (/ (PI) -4) (/ (PI) -4))
(* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4))
(/ (PI) (/ 4 f))
(PI)
(log (* 2 (sinh (/ (PI) (/ 4 f)))))
(log (* 2 (cosh (/ (PI) (/ 4 f)))))
(* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -1/4 binary64)) (PI.f64)))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -1/4 binary64)) (PI.f64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -1/4 binary64)) (PI.f64)))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (log1p.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (log1p.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -1/4 binary64)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -1/4 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -1/4 binary64)) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -4 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 1 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (PI.f64)))
(/.f64 (*.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal -4 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/4 binary64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (neg.f64 (.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -4 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 1 binary64))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1 binary64))) (neg.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 #s(literal 1 binary64) (PI.f64)))) #s(literal -1/4 binary64))
(/.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (PI.f64)))) #s(literal 1/4 binary64))
(/.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(.f64 #s(literal -4 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64))))))
(*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))
(.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (sqrt.f64 (PI.f64)))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (/.f64 #s(literal -4 binary64) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) #s(literal 4 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal -4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1 binary64)) #s(literal -4 binary64))
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(.f64 (pow.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(.f64 (cbrt.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (PI.f64) (PI.f64))))) (cbrt.f64 (PI.f64)))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(+.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (-.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (exp.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 3 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (+.f64 (exp.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)))) (exp.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f))))))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (pow.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(+.f64 (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 3 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #s(literal 3 binary64))))) (log.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (-.f64 (exp.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)))) (exp.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f))))))))
(-.f64 (log.f64 (-.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (exp.f64 (+.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(-.f64 (log.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (pow.f64 (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(+.f64 (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 #s(literal 2 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(fma.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(fma.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64)) (*.f64 (log.f64 (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))
(/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))))
(/.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) #s(literal 4 binary64))
(/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 1 binary64)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 1 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (neg.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (-.f64 #s(literal 0 binary64) (PI.f64)))) #s(literal -4 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 1 binary64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) #s(literal -4 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) #s(literal -1 binary64))
(.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(.f64 (PI.f64) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -4 binary64)))
(.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(.f64 (.f64 (PI.f64) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) #s(literal -1/4 binary64))

simplify387.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

5212×	`-lowering-.f32`
5212×	`-lowering-.f64`
2136×	`+-lowering-+.f64`
2136×	`+-lowering-+.f32`
1340×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	7104
1	1439	5908
2	7025	5905
0	8113	5905

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

Inputs
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))) (PI))) (* -2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2)))))))))) (PI))))))))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
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Outputs
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(.f64 (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(.f64 (log.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/4 binary64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) f))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))

eval410.0ms (2.3%)

Compiler: Compiled 77318 to 7225 computations (90.7% saved)

prune301.0ms (1.7%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	2480	15	2495
Fresh	9	3	12
Picked	5	0	5
Done	0	0	0
Total	2494	18	2512

Accuracy

100.0%

Counts

2512 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.5%	(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64)) (PI.f64))
	97.0%	(/.f64 (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) #s(literal -4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	96.7%	(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)) #s(literal -1/4 binary64)) (PI.f64))
▶	99.5%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))
	98.4%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
	99.3%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
	96.4%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.4%	(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.4%	(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.4%	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	95.9%	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
	96.7%	(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/192 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
	99.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)))
▶	96.4%	(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1/4 binary64)))
	96.2%	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
	99.4%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
▶	96.4%	(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))

Compiler

Compiled 712 to 502 computations (29.5% saved)

simplify263.0ms (1.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	256	(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1/4 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	cost-diff	0	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
✓	cost-diff	0	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64)) (PI.f64))
✓	cost-diff	2432	(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)
✓	cost-diff	2432	(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f))
✓	cost-diff	2432	(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)) #s(literal -1/4 binary64))
✓	cost-diff	2432	(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)) #s(literal -1/4 binary64)) (PI.f64))
✓	cost-diff	0	(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) (PI.f64))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))
✓	cost-diff	128	(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64))
✓	cost-diff	128	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))

Rules

5078×	`-lowering-.f32`
5078×	`-lowering-.f64`
1614×	`/-lowering-/.f32`
1614×	`/-lowering-/.f64`
1212×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	58	569
1	173	503
2	487	417
3	1372	396
4	4164	393
0	8494	393

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4) (PI))
(/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4)
(log (/ 1 (tanh (/ (* (PI) f) 4))))
(/ 1 (tanh (/ (* (PI) f) 4)))
1
(tanh (/ (* (PI) f) 4))
(/ (* (PI) f) 4)
(* (PI) f)
(PI)
f
4
-1/4
(* (/ -4 (PI)) (log (/ (/ 4 f) (PI))))
(/ -4 (PI))
-4
(PI)
(log (/ (/ 4 f) (PI)))
(/ (/ 4 f) (PI))
(/ 4 f)
4
f
(/ (/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4) (PI))
(/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4)
(log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f))
(/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)
(+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI))))))))
(/ 4 (PI))
4
(PI)
(* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))
f
(+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI))))))
(/ 0 (* (PI) (PI)))
0
(* (PI) (PI))
(- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))
(* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI))))
(+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))
(/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI)))
(* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128))))
16
(+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))
(* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8)
(* (PI) (* (* (PI) (PI)) -1/32))
(* (* (PI) (PI)) -1/32)
-1/32
-1/8
(+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128))
(* (* (PI) (* (PI) (PI))) -1/768)
(* (PI) (* (PI) (PI)))
-1/768
(* (* (PI) (* (PI) (PI))) -1/128)
-1/128
(/ (/ 0 (* (PI) (PI))) (PI))
-1/4
(/ (/ (- (log (/ 4 (PI))) (log f)) -1/4) (PI))
(/ (- (log (/ 4 (PI))) (log f)) -1/4)
(- (log (/ 4 (PI))) (log f))
(log (/ 4 (PI)))
(/ 4 (PI))
4
(PI)
(log f)
f
-1/4
(- (/ (log (/ 4 (PI))) (/ (PI) -4)) (/ (/ (log f) (PI)) -1/4))
(/ (log (/ 4 (PI))) (/ (PI) -4))
(log (/ 4 (PI)))
(/ 4 (PI))
4
(PI)
(/ (PI) -4)
-4
(/ (/ (log f) (PI)) -1/4)
(/ (log f) (PI))
(log f)
f
-1/4

Outputs
(/ (/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4) (PI))
(/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) f) #s(literal 4 binary64)))) (.f64 (PI.f64) #s(literal 1/4 binary64)))
(/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4)
(/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64))
(log (/ 1 (tanh (/ (* (PI) f) 4))))
(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))
(/ 1 (tanh (/ (* (PI) f) 4)))
(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))
1
#s(literal 1 binary64)
(tanh (/ (* (PI) f) 4))
(tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))
(/ (* (PI) f) 4)
(/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
4
#s(literal 4 binary64)
-1/4
#s(literal -1/4 binary64)
(* (/ -4 (PI)) (log (/ (/ 4 f) (PI))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))
(/ -4 (PI))
(/.f64 #s(literal -4 binary64) (PI.f64))
-4
#s(literal -4 binary64)
(PI)
(PI.f64)
(log (/ (/ 4 f) (PI)))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/ (/ 4 f) (PI))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 f)
(/.f64 #s(literal 4 binary64) f)
4
#s(literal 4 binary64)
f
(/ (/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4) (PI))
(/.f64 (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64)))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4)
(/.f64 (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64)))))) f)) #s(literal -1/4 binary64))
(log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f))
(log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64)))))) f))
(/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64)))))) f)
(+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI))))))))
(-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64))))))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))
(.f64 (.f64 f (/.f64 (.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)) #s(literal 1 binary64))) (PI.f64))) #s(literal -16 binary64))
f
(+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI))))))
(-.f64 #s(literal 0 binary64) (.f64 f (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64)))))
(/ 0 (* (PI) (PI)))
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))
(-.f64 #s(literal 0 binary64) (.f64 f (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64)))))
(* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI))))
(.f64 f (.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64))))
(+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64)))
(/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/12 binary64))) (PI.f64)))
(* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128))))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/12 binary64))
16
#s(literal 16 binary64)
(+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))
(* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8)
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 1/256 binary64))))
(* (PI) (* (* (PI) (PI)) -1/32))
(.f64 #s(literal -1/32 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(* (* (PI) (PI)) -1/32)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/32 binary64)))
-1/32
#s(literal -1/32 binary64)
-1/8
#s(literal -1/8 binary64)
(+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))
(* (* (PI) (* (PI) (PI))) -1/768)
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/768 binary64))))
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
-1/768
#s(literal -1/768 binary64)
(* (* (PI) (* (PI) (PI))) -1/128)
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))
-1/128
#s(literal -1/128 binary64)
(/ (/ 0 (* (PI) (PI))) (PI))
#s(literal 0 binary64)
-1/4
#s(literal -1/4 binary64)
(/ (/ (- (log (/ 4 (PI))) (log f)) -1/4) (PI))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (- (log (/ 4 (PI))) (log f)) -1/4)
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64))
(- (log (/ 4 (PI))) (log f))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(log (/ 4 (PI)))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(log f)
(log.f64 f)
f
-1/4
#s(literal -1/4 binary64)
(- (/ (log (/ 4 (PI))) (/ (PI) -4)) (/ (/ (log f) (PI)) -1/4))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (log (/ 4 (PI))) (/ (PI) -4))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log (/ 4 (PI)))
(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (/ (log f) (PI)) -1/4)
(/.f64 (log.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (log f) (PI))
(/.f64 (log.f64 f) (PI.f64))
(log f)
(log.f64 f)
f
-1/4
#s(literal -1/4 binary64)

localize375.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1/4 binary64)))
✓	accuracy	99.5%	(/.f64 (log.f64 f) (PI.f64))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
✓	accuracy	99.5%	(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64)) (PI.f64))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	accuracy	98.4%	(+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	100.0%	(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
✓	accuracy	100.0%	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.5%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))

Results

179.0ms	250×	0	valid
32.0ms	6×	2	valid

Compiler

Compiled 864 to 59 computations (93.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-div: 34.0ms (30.9% of total)

ival-log: 32.0ms (29.1% of total)

ival-mult: 24.0ms (21.8% of total)

ival-add: 6.0ms (5.5% of total)

...c/correct-round.rkt:119:19: 5.0ms (4.5% of total)

ival-sub: 4.0ms (3.6% of total)

ival-tanh: 2.0ms (1.8% of total)

const: 1.0ms (0.9% of total)

ival-pi: 1.0ms (0.9% of total)

backward-pass: 1.0ms (0.9% of total)

series30.0ms (0.2%)

Counts

26 → 204

Calls

Call 1

Inputs
#<alt (/ (/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4) (PI))>
#<alt (/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4)>
#<alt (log (/ 1 (tanh (/ (* (PI) f) 4))))>
#<alt (/ 1 (tanh (/ (* (PI) f) 4)))>
#<alt (* (/ -4 (PI)) (log (/ (/ 4 f) (PI))))>
#<alt (/ -4 (PI))>
#<alt (PI)>
#<alt (log (/ (/ 4 f) (PI)))>
#<alt (/ (/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4) (PI))>
#<alt (/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4)>
#<alt (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f))>
#<alt (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)>
#<alt (/ (/ (- (log (/ 4 (PI))) (log f)) -1/4) (PI))>
#<alt (/ (- (log (/ 4 (PI))) (log f)) -1/4)>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (log (/ 4 (PI)))>
#<alt (- (/ (log (/ 4 (PI))) (/ (PI) -4)) (/ (/ (log f) (PI)) -1/4))>
#<alt (/ (log (/ 4 (PI))) (/ (PI) -4))>
#<alt (/ 4 (PI))>
#<alt (* (PI) f)>
#<alt (/ (/ 4 f) (PI))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (PI) (* (* (PI) (PI)) -1/32))>
#<alt (* (* (PI) (* (PI) (PI))) -1/768)>
#<alt (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))>
#<alt (/ (log f) (PI))>

Outputs
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* -2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* -1/2 (* (PI) (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2))))))) (PI))) (* -2/3 (/ (* f (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (+ (* -3 (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -3/2 (* (PI) (+ (* -32 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 3))) (+ (* -2 (/ (* (+ (* -16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 3))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (pow (PI) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))) (* 16 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (pow (PI) 2)))))))))) (PI))))))))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
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#<alt (+ (* -4 (+ (log (* -16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (* -1 (log (/ 1 f))))) (+ (* 1/48 (/ (pow (PI) 3) (* (pow f 6) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 3)))) (+ (* 1/8 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))) (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))))))>
#<alt (* -4 (+ (log (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (* -1 (log (/ -1 f)))))>
#<alt (+ (* -4 (+ (log (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (* -1 (log (/ -1 f))))) (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))))>
#<alt (+ (* -4 (+ (log (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (* -1 (log (/ -1 f))))) (+ (* 1/8 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))) (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))))>
#<alt (+ (* -4 (+ (log (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (* -1 (log (/ -1 f))))) (+ (* 1/48 (/ (pow (PI) 3) (* (pow f 6) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 3)))) (+ (* 1/8 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))) (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))))))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (+ (* -4 (/ (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (PI))) (* -1 (log f))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* -8 (/ (* (pow f 2) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)) (pow (PI) 2))) (* -4 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (PI)))))))>
#<alt (+ (log (/ 4 (PI))) (+ (* -1 (log f)) (* (pow f 2) (+ (* -4 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (PI))) (* (pow f 2) (+ (* -64/3 (/ (* (pow f 2) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 3)) (pow (PI) 3))) (* -8 (/ (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2) (pow (PI) 2)))))))))>
#<alt (+ (log (* -16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* -16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (+ (* -1 (log (/ 1 f))) (* -1/4 (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))))))>
#<alt (+ (log (* -16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (+ (* -1 (log (/ 1 f))) (+ (* -1/4 (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))) (* -1/32 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))))))>
#<alt (+ (log (* -16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (+ (* -1 (log (/ 1 f))) (+ (* -1/4 (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))) (+ (* -1/32 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))) (* -1/192 (/ (pow (PI) 3) (* (pow f 6) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 3))))))))>
#<alt (+ (log (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (+ (* -1 (log (/ -1 f))) (* -1/4 (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))))))))>
#<alt (+ (log (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (+ (* -1 (log (/ -1 f))) (+ (* -1/4 (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))) (* -1/32 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))))))>
#<alt (+ (log (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2)))) (+ (* -1 (log (/ -1 f))) (+ (* -1/4 (/ (PI) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))))) (+ (* -1/32 (/ (pow (PI) 2) (* (pow f 4) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 2)))) (* -1/192 (/ (pow (PI) 3) (* (pow f 6) (pow (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) 3))))))))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ (+ (* -16 (/ (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* -16 (/ (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* -16 (/ (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (pow (PI) 2))) (* 4 (/ 1 (PI)))) f)>
#<alt (* -16 (/ (* f (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (pow (PI) 2)))>
#<alt (* f (+ (* -16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2))) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* f (+ (* -16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2))) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* f (+ (* -16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2))) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* -16 (/ (* f (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3))))) (pow (PI) 2)))>
#<alt (* -1 (* f (- (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2))) (* 4 (/ 1 (* (pow f 2) (PI)))))))>
#<alt (* -1 (* f (- (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2))) (* 4 (/ 1 (* (pow f 2) (PI)))))))>
#<alt (* -1 (* f (- (* 16 (/ (+ (* -1/128 (pow (PI) 3)) (+ (* -1/768 (pow (PI) 3)) (* 1/256 (pow (PI) 3)))) (pow (PI) 2))) (* 4 (/ 1 (* (pow f 2) (PI)))))))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (- (log (/ 4 (PI))) (log f)))>
#<alt (* -4 (- (log (/ 4 (PI))) (log f)))>
#<alt (* -4 (- (log (/ 4 (PI))) (log f)))>
#<alt (* -4 (- (log (/ 4 (PI))) (log f)))>
#<alt (* -4 (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -4 (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -4 (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -4 (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (* -4 (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))))>
#<alt (* -4 (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))))>
#<alt (* -4 (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))))>
#<alt (* -4 (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))))>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))>
#<alt (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))>
#<alt (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))>
#<alt (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (log f) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (log f) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (log f) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (log f) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* 4 (/ (log (/ 1 f)) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* 4 (/ (log (/ 1 f)) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* 4 (/ (log (/ 1 f)) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* 4 (/ (log (/ 1 f)) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))>
#<alt (- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ (log f) (PI))>
#<alt (/ (log f) (PI))>
#<alt (/ (log f) (PI))>
#<alt (/ (log f) (PI))>
#<alt (* -1 (/ (log (/ 1 f)) (PI)))>
#<alt (* -1 (/ (log (/ 1 f)) (PI)))>
#<alt (* -1 (/ (log (/ 1 f)) (PI)))>
#<alt (* -1 (/ (log (/ 1 f)) (PI)))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))>
#<alt (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))>

Calls

51 calls:

Time	Variable		Point	Expression
4.0ms	f	@	inf	(/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)
3.0ms	f	@	0	(/ (/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4) (PI))
2.0ms	f	@	inf	(/ (/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4) (PI))
2.0ms	f	@	0	(/ (/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4) (PI))
2.0ms	f	@	-inf	(/ (/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4) (PI))

rewrite441.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2900×	`-lowering-.f32`
2900×	`-lowering-.f64`
2466×	`fma-lowering-fma.f32`
2466×	`fma-lowering-fma.f64`
2154×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	284
1	421	256
2	4544	252
0	8127	252

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 908

Calls

Call 1

Inputs
(/ (/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4) (PI))
(/ (log (/ 1 (tanh (/ (* (PI) f) 4)))) -1/4)
(log (/ 1 (tanh (/ (* (PI) f) 4))))
(/ 1 (tanh (/ (* (PI) f) 4)))
(* (/ -4 (PI)) (log (/ (/ 4 f) (PI))))
(/ -4 (PI))
(PI)
(log (/ (/ 4 f) (PI)))
(/ (/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4) (PI))
(/ (log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)) -1/4)
(log (/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f))
(/ (+ (/ 4 (PI)) (* f (+ (/ 0 (* (PI) (PI))) (- 0 (* f (+ (/ (* 16 (+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))) (* (PI) (PI))) (/ (/ 0 (* (PI) (PI))) (PI)))))))) f)
(/ (/ (- (log (/ 4 (PI))) (log f)) -1/4) (PI))
(/ (- (log (/ 4 (PI))) (log f)) -1/4)
(- (log (/ 4 (PI))) (log f))
(log (/ 4 (PI)))
(- (/ (log (/ 4 (PI))) (/ (PI) -4)) (/ (/ (log f) (PI)) -1/4))
(/ (log (/ 4 (PI))) (/ (PI) -4))
(/ 4 (PI))
(* (PI) f)
(/ (/ 4 f) (PI))
(* (PI) (* (PI) (PI)))
(* (PI) (* (* (PI) (PI)) -1/32))
(* (* (PI) (* (PI) (PI))) -1/768)
(+ (* (* (PI) (* (* (PI) (PI)) -1/32)) -1/8) (+ (* (* (PI) (* (PI) (PI))) -1/768) (* (* (PI) (* (PI) (PI))) -1/128)))
(/ (log f) (PI))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (PI.f64))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal -1/4 binary64)) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (.f64 (PI.f64) f) #s(literal 4 binary64))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
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(fma.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))) (.f64 (PI.f64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/768 binary64))))))
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(fma.f64 #s(literal -7/768 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))))
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(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 49/589824 binary64))) (-.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))))
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(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 49/589824 binary64)))) (neg.f64 (-.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/768 binary64))))) #s(literal 3 binary64)) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/16384 binary64)))) (+.f64 (.f64 (.f64 (PI.f64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/768 binary64))))) (.f64 (PI.f64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/768 binary64)))))) (-.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/16384 binary64)) (.f64 (.f64 (PI.f64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/768 binary64))))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 49/589824 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))))) (-.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (PI.f64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/768 binary64))))) (.f64 (PI.f64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/768 binary64)))))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 1/16384 binary64))) (-.f64 (.f64 (PI.f64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/768 binary64))))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))))
(pow.f64 (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))) (-.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))))) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))))) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 49/589824 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64)))) (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 49/589824 binary64)))) #s(literal -1 binary64))
(.f64 (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))))) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 49/589824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))) (-.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))) (.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))))))))
(.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)))) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 49/589824 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -7/768 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (log.f64 f))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 f) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (log.f64 f)) #s(literal 1 binary64)))
(/.f64 (log.f64 f) (PI.f64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (log.f64 f))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 f)) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (*.f64 (log.f64 f) #s(literal 1 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (/.f64 (log.f64 f) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 f) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (log.f64 f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (PI.f64) (log.f64 f)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) (log.f64 f)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 f) (PI.f64)))
(*.f64 (log.f64 f) (/.f64 #s(literal 1 binary64) (PI.f64)))
(*.f64 (-.f64 #s(literal 0 binary64) (log.f64 f)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 f))

simplify317.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

4954×	`-lowering-.f32`
4954×	`-lowering-.f64`
2092×	`+-lowering-+.f64`
2092×	`+-lowering-+.f32`
1568×	`sum5-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	381	5089
1	1282	4421
2	6037	4371
0	8659	4371

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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Outputs
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(- (* -4 (/ (log (/ 4 (PI))) (PI))) (* 4 (/ (log (/ 1 f)) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -4 (/ (log (/ 4 (PI))) (PI))) (* 4 (/ (log (/ 1 f)) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (* -4 (/ (log (/ 4 (PI))) (PI))) (* -4 (/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(* f (PI))
(*.f64 (PI.f64) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ (log f) (PI))
(/.f64 (log.f64 f) (PI.f64))
(/ (log f) (PI))
(/.f64 (log.f64 f) (PI.f64))
(/ (log f) (PI))
(/.f64 (log.f64 f) (PI.f64))
(/ (log f) (PI))
(/.f64 (log.f64 f) (PI.f64))
(* -1 (/ (log (/ 1 f)) (PI)))
(/.f64 (log.f64 f) (PI.f64))
(* -1 (/ (log (/ 1 f)) (PI)))
(/.f64 (log.f64 f) (PI.f64))
(* -1 (/ (log (/ 1 f)) (PI)))
(/.f64 (log.f64 f) (PI.f64))
(* -1 (/ (log (/ 1 f)) (PI)))
(/.f64 (log.f64 f) (PI.f64))
(/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/ (+ (log -1) (* -1 (log (/ -1 f)))) (PI))
(/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))

eval324.0ms (1.8%)

Compiler: Compiled 68202 to 10029 computations (85.3% saved)

prune221.0ms (1.2%)

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	1841	13	1854
Fresh	8	5	13
Picked	2	3	5
Done	0	0	0
Total	1851	21	1872

Accuracy

100.0%

Counts

1872 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64)) (PI.f64))
	96.4%	(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) #s(literal -1/4 binary64)) (PI.f64))
	96.4%	(/.f64 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) #s(literal -1/4 binary64)) (PI.f64))
	97.0%	(/.f64 (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) #s(literal -4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	96.4%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
	96.7%	(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
	98.4%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
✓	99.5%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))
	1.6%	(/.f64 (/.f64 (log.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -16 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))
▶	99.5%	(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))
▶	96.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
	96.3%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
▶	96.4%	(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
	96.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 f (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/48 binary64)))))) f)) f))))
	96.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
	96.2%	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	99.4%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
	95.8%	(.f64 (/.f64 #s(literal -4 binary64) (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
✓	96.4%	(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
	96.4%	(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))

Compiler

Compiled 703 to 507 computations (27.9% saved)

simplify142.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓	cost-diff	0	(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	0	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
✓	cost-diff	0	(/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
✓	cost-diff	0	(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
✓	cost-diff	0	(tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))
✓	cost-diff	0	(log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))
✓	cost-diff	0	(/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))

Rules

2154×	`fnmadd-define`
1668×	`-lowering-.f32`
1668×	`-lowering-.f64`
876×	`sum3-define`
868×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	210
1	103	210
2	241	210
3	399	210
4	668	210
5	1385	210
6	4088	210
0	8216	210

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ (log (tanh (/ (* (PI) f) 4))) 1/4) (PI))
(/ (log (tanh (/ (* (PI) f) 4))) 1/4)
(log (tanh (/ (* (PI) f) 4)))
(tanh (/ (* (PI) f) 4))
(/ (* (PI) f) 4)
(* (PI) f)
(PI)
f
4
1/4
(/ (/ (log (/ (/ 4 (PI)) f)) -1/4) (PI))
(/ (log (/ (/ 4 (PI)) f)) -1/4)
(log (/ (/ 4 (PI)) f))
(/ (/ 4 (PI)) f)
(/ 4 (PI))
4
(PI)
f
-1/4
(/ (/ 1 (/ -1/4 (log (/ 4 (* (PI) f))))) (PI))
(/ 1 (/ -1/4 (log (/ 4 (* (PI) f)))))
1
(/ -1/4 (log (/ 4 (* (PI) f))))
-1/4
(log (/ 4 (* (PI) f)))
(/ 4 (* (PI) f))
4
(* (PI) f)
(PI)
f
(* (/ 4 (PI)) (log (tanh (/ (PI) (/ 4 f)))))
(/ 4 (PI))
4
(PI)
(log (tanh (/ (PI) (/ 4 f))))
(tanh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(/ 4 f)
f
(/ (- (log 2) (log (* f (* (PI) 1/2)))) (/ (PI) -4))
(- (log 2) (log (* f (* (PI) 1/2))))
(log 2)
2
(log (* f (* (PI) 1/2)))
(* f (* (PI) 1/2))
f
(* (PI) 1/2)
(PI)
1/2
(/ (PI) -4)
-4

Outputs
(/ (/ (log (tanh (/ (* (PI) f) 4))) 1/4) (PI))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/ (log (tanh (/ (* (PI) f) 4))) 1/4)
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 1/4 binary64))
(log (tanh (/ (* (PI) f) 4)))
(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(tanh (/ (* (PI) f) 4))
(tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/ (* (PI) f) 4)
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
4
#s(literal 4 binary64)
1/4
#s(literal 1/4 binary64)
(/ (/ (log (/ (/ 4 (PI)) f)) -1/4) (PI))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (log (/ (/ 4 (PI)) f)) -1/4)
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal -1/4 binary64))
(log (/ (/ 4 (PI)) f))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/ (/ 4 (PI)) f)
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
f
-1/4
#s(literal -1/4 binary64)
(/ (/ 1 (/ -1/4 (log (/ 4 (* (PI) f))))) (PI))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ 1 (/ -1/4 (log (/ 4 (* (PI) f)))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) #s(literal -1/4 binary64))
1
#s(literal 1 binary64)
(/ -1/4 (log (/ 4 (* (PI) f))))
(/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
-1/4
#s(literal -1/4 binary64)
(log (/ 4 (* (PI) f)))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/ 4 (* (PI) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
4
#s(literal 4 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
(* (/ 4 (PI)) (log (tanh (/ (PI) (/ 4 f)))))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(log (tanh (/ (PI) (/ 4 f))))
(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(tanh (/ (PI) (/ 4 f)))
(tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/ (PI) (/ 4 f))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(/ 4 f)
(/.f64 #s(literal 4 binary64) f)
f
(/ (- (log 2) (log (* f (* (PI) 1/2)))) (/ (PI) -4))
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(- (log 2) (log (* f (* (PI) 1/2))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(log (* f (* (PI) 1/2)))
(log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
(* f (* (PI) 1/2))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
f
(* (PI) 1/2)
(*.f64 (PI.f64) #s(literal 1/2 binary64))
(PI)
(PI.f64)
1/2
#s(literal 1/2 binary64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize178.0ms (1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))))
✓	accuracy	99.6%	(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	100.0%	(tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	accuracy	100.0%	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.4%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	accuracy	99.6%	(/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.6%	(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓	accuracy	99.5%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
✓	accuracy	100.0%	(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
✓	accuracy	99.3%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
✓	accuracy	100.0%	(tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))
✓	accuracy	100.0%	(log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.5%	(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))

Results

123.0ms	250×	0	valid
7.0ms	6×	1	valid

Compiler

Compiled 216 to 38 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 25.0ms (38.5% of total)

ival-log: 20.0ms (30.8% of total)

ival-mult: 13.0ms (20% of total)

ival-tanh: 3.0ms (4.6% of total)

const: 1.0ms (1.5% of total)

ival-pi: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% of total)

backward-pass: 1.0ms (1.5% of total)

series132.0ms (0.7%)

Counts

25 → 264

Calls

Call 1

Inputs
#<alt (/ (/ (log (tanh (/ (* (PI) f) 4))) 1/4) (PI))>
#<alt (/ (log (tanh (/ (* (PI) f) 4))) 1/4)>
#<alt (log (tanh (/ (* (PI) f) 4)))>
#<alt (tanh (/ (* (PI) f) 4))>
#<alt (/ (/ (log (/ (/ 4 (PI)) f)) -1/4) (PI))>
#<alt (/ (log (/ (/ 4 (PI)) f)) -1/4)>
#<alt (log (/ (/ 4 (PI)) f))>
#<alt (/ (/ 4 (PI)) f)>
#<alt (/ (/ 1 (/ -1/4 (log (/ 4 (* (PI) f))))) (PI))>
#<alt (/ 1 (/ -1/4 (log (/ 4 (* (PI) f)))))>
#<alt (/ -1/4 (log (/ 4 (* (PI) f))))>
#<alt (log (/ 4 (* (PI) f)))>
#<alt (* (/ 4 (PI)) (log (tanh (/ (PI) (/ 4 f)))))>
#<alt (/ 4 (PI))>
#<alt (PI)>
#<alt (log (tanh (/ (PI) (/ 4 f))))>
#<alt (/ (- (log 2) (log (* f (* (PI) 1/2)))) (/ (PI) -4))>
#<alt (- (log 2) (log (* f (* (PI) 1/2))))>
#<alt (log 2)>
#<alt (log (* f (* (PI) 1/2)))>
#<alt (* (PI) f)>
#<alt (/ 4 (* (PI) f))>
#<alt (/ (PI) (/ 4 f))>
#<alt (tanh (/ (PI) (/ 4 f)))>
#<alt (* f (* (PI) 1/2))>

Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))>
#<alt (+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* f (+ (* 2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))>
#<alt (+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 2/3 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))>
#<alt (* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (/ -1/4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (/ -1/4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (/ -1/4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (/ -1/4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (/ -1/4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (/ -1/4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (/ -1/4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (/ -1/4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (/ -1/4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (/ -1/4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (/ -1/4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (/ -1/4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 4 (PI))) (* -1 (log f)))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ 1 f)) (log (/ 4 (PI))))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (+ (log (/ -4 (PI))) (log (/ -1 f)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 (PI))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 (PI))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 (PI))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 (PI))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (- (log 2) (+ (log f) (log (* 1/2 (PI)))))>
#<alt (- (log 2) (+ (log f) (log (* 1/2 (PI)))))>
#<alt (- (log 2) (+ (log f) (log (* 1/2 (PI)))))>
#<alt (- (log 2) (+ (log f) (log (* 1/2 (PI)))))>
#<alt (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (- (log 2) (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (- (log 2) (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (+ (log f) (log (* 1/2 (PI))))>
#<alt (+ (log f) (log (* 1/2 (PI))))>
#<alt (+ (log f) (log (* 1/2 (PI))))>
#<alt (+ (log f) (log (* 1/2 (PI))))>
#<alt (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f))))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>
#<alt (* 1/2 (* f (PI)))>

Calls

66 calls:

Time	Variable		Point	Expression
31.0ms	f	@	0	(/ (- (log 2) (log (* f (* (PI) 1/2)))) (/ (PI) -4))
28.0ms	f	@	-inf	(/ (/ (log (tanh (/ (* (PI) f) 4))) 1/4) (PI))
28.0ms	f	@	inf	(/ (/ (log (tanh (/ (* (PI) f) 4))) 1/4) (PI))
17.0ms	f	@	-inf	(/ (- (log 2) (log (* f (* (PI) 1/2)))) (/ (PI) -4))
7.0ms	f	@	inf	(/ (- (log 2) (log (* f (* (PI) 1/2)))) (/ (PI) -4))

rewrite647.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4656×	`/-lowering-/.f32`
4656×	`/-lowering-/.f64`
3942×	`-lowering-.f32`
3942×	`-lowering-.f64`
1638×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	168
1	231	168
2	1607	168
0	8296	168

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 1626

Calls

Call 1

Inputs
(/ (/ (log (tanh (/ (* (PI) f) 4))) 1/4) (PI))
(/ (log (tanh (/ (* (PI) f) 4))) 1/4)
(log (tanh (/ (* (PI) f) 4)))
(tanh (/ (* (PI) f) 4))
(/ (/ (log (/ (/ 4 (PI)) f)) -1/4) (PI))
(/ (log (/ (/ 4 (PI)) f)) -1/4)
(log (/ (/ 4 (PI)) f))
(/ (/ 4 (PI)) f)
(/ (/ 1 (/ -1/4 (log (/ 4 (* (PI) f))))) (PI))
(/ 1 (/ -1/4 (log (/ 4 (* (PI) f)))))
(/ -1/4 (log (/ 4 (* (PI) f))))
(log (/ 4 (* (PI) f)))
(* (/ 4 (PI)) (log (tanh (/ (PI) (/ 4 f)))))
(/ 4 (PI))
(PI)
(log (tanh (/ (PI) (/ 4 f))))
(/ (- (log 2) (log (* f (* (PI) 1/2)))) (/ (PI) -4))
(- (log 2) (log (* f (* (PI) 1/2))))
(log 2)
(log (* f (* (PI) 1/2)))
(* (PI) f)
(/ 4 (* (PI) f))
(/ (PI) (/ 4 f))
(tanh (/ (PI) (/ 4 f)))
(* f (* (PI) 1/2))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64)))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(-.f64 (/.f64 (log.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (log1p.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (log1p.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))) (/.f64 (PI.f64) #s(literal 4 binary64))))
(neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64)))
(/.f64 (log.f64 (tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 (/.f64 (log.f64 (tanh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal 1/4 binary64)) (.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (PI.f64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))))) (+.f64 (.f64 (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))))
(.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))))
(.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))))
(.f64 (neg.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))))
(.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))))))
(tanh.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(.f64 (PI.f64) (.f64 #s(literal 1/2 binary64) f))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(.f64 (.f64 (PI.f64) f) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (PI.f64) f))
(.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)) f)
(.f64 (.f64 f #s(literal 1/2 binary64)) (PI.f64))

simplify277.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3520×	`-lowering-.f32`
3520×	`-lowering-.f64`
3362×	`+-lowering-+.f64`
3362×	`+-lowering-+.f32`
1342×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	218	4973
1	705	4360
2	2969	4003
0	8895	4003

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (+ (log f) (log (* 1/4 (PI)))))
(+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI))))
(+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* f (+ (* 2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))))))
(+ (* 4 (+ (log f) (log (* 1/4 (PI))))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 2/3 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))))))))
(* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(* 4 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
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(.f64 f (+.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 f (.f64 f (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))
(.f64 f (+.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 (+.f64 (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -7/768 binary64))) (.f64 f (+.f64 (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (+.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))))) #s(literal -1/8 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)) #s(literal 1/1024 binary64)) (.f64 #s(literal -1/3072 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))) (.f64 (.f64 (PI.f64) (+.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (.f64 (PI.f64) #s(literal 1/8 binary64)))))) (*.f64 f f))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 (PI.f64) (.f64 f #s(literal -1/4 binary64))))))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))

eval336.0ms (1.9%)

Compiler: Compiled 48745 to 5769 computations (88.2% saved)

prune344.0ms (1.9%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	2352	6	2358
Fresh	5	8	13
Picked	0	5	5
Done	0	3	3
Total	2357	22	2379

Accuracy

100.0%

Counts

2379 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.5%	(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64)) (PI.f64))
	96.4%	(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) #s(literal -1/4 binary64)) (PI.f64))
	96.4%	(/.f64 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) #s(literal -1/4 binary64)) (PI.f64))
	97.0%	(/.f64 (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) #s(literal -4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
	95.9%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
✓	96.4%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
	96.7%	(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
✓	99.5%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))
	1.6%	(/.f64 (/.f64 (log.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -16 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))
✓	99.5%	(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))
✓	96.4%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
	96.3%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
✓	96.4%	(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.7%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 f (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/48 binary64)))))) f)) f))))
	99.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
	96.3%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
	96.4%	(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	96.4%	(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) (PI.f64)) (/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal -1/4 binary64)) (PI.f64)))
	96.2%	(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
✓	99.4%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	96.4%	(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
	96.4%	(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))

Compiler

Compiled 1488 to 572 computations (61.6% saved)

regimes82.0ms (0.5%)

Counts

53 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (/.f64 (log.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -16 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/192 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 f (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/48 binary64)))))) f)) f))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64)) (PI.f64))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))
(.f64 (/.f64 #s(literal -4 binary64) (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1/4 binary64)))
(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) (PI.f64)) (/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal -1/4 binary64)) (PI.f64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (.f64 f (/.f64 (PI.f64) #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64)))
(/.f64 (/.f64 (neg.f64 (*.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal -4 binary64))) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (sqrt.f64 (PI.f64)))
(/.f64 (*.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (cbrt.f64 (PI.f64)))
(/.f64 (-.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(-.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
(/.f64 (/.f64 (-.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) (.f64 (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) #s(literal -4 binary64))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (.f64 #s(literal 0 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64))) #s(literal -4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) (PI.f64)))
(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (PI.f64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (+.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))))

Outputs
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))

Calls

6 calls:

15.0ms	f
14.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
14.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
13.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
11.0ms	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))

Results

Accuracy	Segments	Branch
99.5%	1	`f`
99.5%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
99.5%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
99.5%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
99.5%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
99.5%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes11.0ms (0.1%)

Counts

29 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (/.f64 (log.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -16 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/192 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 f (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/48 binary64)))))) f)) f))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64)) (PI.f64))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (PI.f64))

Outputs
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (PI.f64))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes22.0ms (0.1%)

Counts

28 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (/.f64 (log.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -16 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/192 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 f (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/48 binary64)))))) f)) f))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) #s(literal -1/4 binary64)) (PI.f64))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))

Outputs
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (/.f64 (log.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -16 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/192 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 f (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/48 binary64)))))) f)) f))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))

Outputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

15 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (/.f64 (log.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -16 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 2 binary64))) #s(literal 1/192 binary64))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 #s(literal 0 binary64) (/.f64 f (/.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/256 binary64)) #s(literal 16 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -7/48 binary64)))))) f)) f))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (-.f64 #s(literal 0 binary64) (.f64 f (+.f64 (/.f64 (.f64 #s(literal 16 binary64) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/8 binary64)) (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/128 binary64))))) (.f64 (PI.f64) (PI.f64))) (/.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))))))) f)) #s(literal -1/4 binary64)) (PI.f64))

Outputs

(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (*.f64 f f) (/.f64 (*.f64 (*.f64 #s(literal -16 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes13.0ms (0.1%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (*.f64 f (/.f64 (PI.f64) #s(literal 4 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))) (PI.f64))
(/.f64 (/.f64 (log.f64 (.f64 (/.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal -16 binary64) f))) #s(literal -1/4 binary64)) (PI.f64))

Outputs
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs

(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))

(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))

Outputs
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))

Outputs
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	106
1	64	106

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))

Outputs
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))) #s(literal 1/4 binary64)) (PI.f64))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 f f) (/.f64 (.f64 (.f64 #s(literal -16 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1/192 binary64)) (*.f64 (PI.f64) (PI.f64))))) f)) #s(literal -1/4 binary64)) (PI.f64))
(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))))

soundness3.4s (19.1%)

Rules

5212×	`-lowering-.f32`
5212×	`-lowering-.f64`
4992×	`-lowering-.f32`
4992×	`-lowering-.f64`
4954×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	239
1	249	215
2	2013	213
0	8307	213
0	37	168
1	231	168
2	1607	168
0	8296	168
0	16	36
1	46	32
2	123	32
3	271	32
4	464	32
5	679	32
6	913	32
7	1218	32
8	1868	32
9	2313	32
10	3051	32
11	4744	32
12	5300	32
13	5563	32
14	6101	32
15	7504	32
0	8030	32
0	402	7104
1	1439	5908
2	7025	5905
0	8113	5905
0	58	284
1	421	256
2	4544	252
0	8127	252
0	192	1552
1	616	1366
2	2768	1299
0	9150	1299
0	381	5089
1	1282	4421
2	6037	4371
0	8659	4371
0	16	116
1	101	116
2	708	45
0	8562	45

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 226 to 156 computations (31% saved)

preprocess105.0ms (0.6%)

Compiler: Compiled 290 to 138 computations (52.4% saved)

analyze270.0ms (1.5%)

sample5.9s (32.6%)

preprocess297.0ms (1.6%)

explain327.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify56.0ms (0.3%)

localize155.0ms (0.9%)

series95.0ms (0.5%)

rewrite349.0ms (1.9%)

simplify208.0ms (1.2%)

eval109.0ms (0.6%)

prune91.0ms (0.5%)

simplify209.0ms (1.2%)

localize276.0ms (1.5%)

series419.0ms (2.3%)

rewrite475.0ms (2.6%)

simplify387.0ms (2.1%)

eval410.0ms (2.3%)

prune301.0ms (1.7%)

simplify263.0ms (1.5%)

localize375.0ms (2.1%)

series30.0ms (0.2%)

rewrite441.0ms (2.4%)

simplify317.0ms (1.8%)

eval324.0ms (1.8%)

prune221.0ms (1.2%)

simplify142.0ms (0.8%)

localize178.0ms (1%)

series132.0ms (0.7%)

rewrite647.0ms (3.6%)

simplify277.0ms (1.5%)

eval336.0ms (1.9%)

prune344.0ms (1.9%)

regimes82.0ms (0.5%)

regimes11.0ms (0.1%)

regimes22.0ms (0.1%)

regimes7.0ms (0%)

regimes6.0ms (0%)

regimes13.0ms (0.1%)

regimes2.0ms (0%)

regimes2.0ms (0%)

simplify8.0ms (0%)

soundness3.4s (19.1%)

preprocess105.0ms (0.6%)

end0.0ms (0%)

Profiling