Metrics for VandenBroeck and Keller, Equation (20)

analyze265.0ms (1.4%)

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: 161.0ms

ival-div: 51.0ms (31.8% of total)

ival-mult: 27.0ms (16.8% of total)

ival-exp: 23.0ms (14.3% of total)

ival-neg: 19.0ms (11.8% of total)

ival-log: 11.0ms (6.9% of total)

ival-add: 9.0ms (5.6% of total)

ival-sub: 9.0ms (5.6% of total)

ival-pi: 8.0ms (5% of total)

const: 3.0ms (1.9% of total)

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

sample5.8s (30.9%)

Results

2.6s	7693×	1	valid
2.1s	7367×	1	invalid
153.0ms	158×	2	valid
46.0ms	405×	0	valid
1.0ms	9×	0	unsamplable
0.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 4.1s

ival-exp: 987.0ms (23.8% of total)

ival-div: 681.0ms (16.4% of total)

ival-mult: 595.0ms (14.3% of total)

ival-neg: 525.0ms (12.7% of total)

ival-log: 375.0ms (9% of total)

backward-pass: 335.0ms (8.1% of total)

ival-pi: 232.0ms (5.6% of total)

ival-add: 213.0ms (5.1% of total)

ival-sub: 157.0ms (3.8% of total)

const: 50.0ms (1.2% of total)

Bogosity

preprocess283.0ms (1.5%)

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))))))

explain312.0ms (1.6%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
244	-	-	`(-.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	-	-	`(/.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)))))`
2	-	-	`(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	-	-	`(PI.f64)`
0	-	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	-	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
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	-	-	`f`
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	-	-	`#s(literal 4 binary64)`
0	-	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
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	-	-	`#s(literal 1 binary64)`
0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	-	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`

Results

180.0ms	476×	1	valid
14.0ms	12×	2	valid
5.0ms	24×	0	valid

Compiler

Compiled 434 to 50 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-exp: 33.0ms (24.3% of total)

ival-div: 25.0ms (18.4% of total)

ival-log: 18.0ms (13.2% of total)

backward-pass: 16.0ms (11.8% of total)

ival-mult: 15.0ms (11% of total)

ival-neg: 9.0ms (6.6% of total)

ival-pi: 7.0ms (5.1% of total)

ival-add: 6.0ms (4.4% of total)

ival-sub: 5.0ms (3.7% of total)

const: 2.0ms (1.5% 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
▶	7.3%	(/.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)))
▶	7.3%	(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))))))))

Status

Accuracy

Program

▶

7.3%

(/.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)))

▶

7.3%

(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))))))))

Compiler

Compiled 71 to 32 computations (54.9% saved)

simplify169.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.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	0	(/.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	0	(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	0	(/.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)))
✓	cost-diff	128	(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))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓	cost-diff	256	(.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)))))))
✓	cost-diff	320	(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))))))))

Rules

2270×	`sum3-define`
1910×	`fnmadd-define`
1772×	`fma-define`
1440×	`sum5-define`
1074×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	353
1	73	325
2	168	325
3	320	325
4	505	325
5	719	325
6	955	325
7	1242	325
8	1894	325
9	2334	325
10	3070	325
11	4763	325
12	5321	325
13	5584	325
14	6122	325
15	7528	325
0	8054	325

Stop Event

1×	iter 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))))))))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
(+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(exp (* (/ (PI) 4) f))
(* (/ (PI) 4) f)
f
(exp (neg (* (/ (PI) 4) f)))
(neg (* (/ (PI) 4) f))
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(/ (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
(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)))
(* (/ 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)))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))
(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))))))
(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))
(/.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)))))
(+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))
(exp (* (/ (PI) 4) f))
(exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64))))
(* (/ (PI) 4) f)
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
f
(exp (neg (* (/ (PI) 4) f)))
(exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal -4 binary64)))
(neg (* (/ (PI) 4) f))
(/.f64 (*.f64 (PI.f64) f) #s(literal -4 binary64))
(- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))
(-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))
(/ (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 (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)))
(log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))))
(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))))))
(/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))
(/.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)))))
(+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))
(+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #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)
(PI.f64)
(/ f 4)
(/.f64 f #s(literal 4 binary64))
f
4
#s(literal 4 binary64)
(exp (/ (* (PI) f) -4))
(exp.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)
-4
#s(literal -4 binary64)
(- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))
(-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))

localize292.0ms (1.5%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	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	99.3%	(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))))))
✓	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	12.2%	(-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))
✓	accuracy	99.4%	(.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)))))))
✓	accuracy	99.3%	(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))))))
✓	accuracy	97.3%	(/.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)))))
✓	accuracy	12.2%	(-.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

213.0ms	240×	1	valid
16.0ms	6×	2	valid
3.0ms	10×	0	valid

Compiler

Compiled 346 to 30 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-div: 57.0ms (31.7% of total)

ival-exp: 36.0ms (20% of total)

ival-sub: 27.0ms (15% of total)

ival-log: 18.0ms (10% of total)

ival-mult: 15.0ms (8.4% of total)

backward-pass: 13.0ms (7.2% of total)

ival-neg: 5.0ms (2.8% of total)

ival-add: 5.0ms (2.8% of total)

ival-pi: 3.0ms (1.7% of total)

const: 1.0ms (0.6% of total)

series209.0ms (1.1%)

Counts

11 → 120

Calls

Call 1

Inputs
#<alt (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))>
#<alt (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))))>
#<alt (/ 1 (/ (PI) 4))>
#<alt (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))>
#<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) 4) f)) (exp (neg (* (/ (PI) 4) f))))>
#<alt (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))>
#<alt (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4)))>

Outputs
#<alt (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (- (* -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))))>
#<alt (- (* 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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))>
#<alt (- (* f (- (* f (- (* -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))) (* 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 (/ (* (+ (* -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))))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* 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))))>
#<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 (+ (* 2/3 (/ (* 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))) (* 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))))))))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<alt (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))))>
#<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)))>
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#<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)))))))))>
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#<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)))))))>
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#<alt (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))))>
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#<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 (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
#<alt (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI))))))>
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#<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 (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 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)))))>

Calls

30 calls:

Time	Variable		Point	Expression
58.0ms	f	@	-inf	(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
47.0ms	f	@	inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
46.0ms	f	@	inf	(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
36.0ms	f	@	-inf	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))
8.0ms	f	@	0	(/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))))

rewrite427.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4240×	`/-lowering-/.f32`
4240×	`/-lowering-/.f64`
4210×	`-lowering-.f32`
4210×	`-lowering-.f64`
1468×	`frac-times`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	194
1	191	90
2	1475	90
0	8243	90

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 893

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

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

simplify263.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

3212×	`-lowering-.f32`
3212×	`-lowering-.f64`
1566×	`+-lowering-+.f64`
1566×	`+-lowering-+.f32`
1430×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	3317
1	749	2907
2	3265	2785
0	8978	2785

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* -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))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -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))) (* 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 (/ (* (+ (* -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))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
(/ (+ (* 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)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)
(/ (+ (* 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)
(/.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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)
(/ (+ (* 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)
(/.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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(.f64 f (+.f64 (.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 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))))
(.f64 f (+.f64 (.f64 f (.f64 f (+.f64 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(* 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))))
(.f64 f (+.f64 (.f64 (.f64 f f) (+.f64 (.f64 (.f64 f f) (+.f64 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (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 (.f64 #s(literal 1/4 binary64) (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 (.f64 #s(literal 1/4 binary64) (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 (.f64 #s(literal 1/4 binary64) (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 (.f64 #s(literal 1/4 binary64) (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 (.f64 #s(literal 1/4 binary64) (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 (.f64 #s(literal 1/4 binary64) (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 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))

eval200.0ms (1.1%)

Compiler: Compiled 44729 to 2928 computations (93.5% saved)

prune127.0ms (0.7%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	993	20	1013
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	995	20	1015

Accuracy

99.4%

Counts

1015 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.8%	(/.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))) (+.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 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 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))))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.2%	(/.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)))
	96.1%	(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.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))) #s(literal 3 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 (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 (/.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) (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)))))))
▶	96.3%	(/.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))))
	94.8%	(/.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)))
	96.3%	(/.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)))
	96.3%	(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 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)))))
	95.8%	(/.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 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 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))))))))))
▶	98.5%	(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
	4.9%	(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (/.f64 f #s(literal 4 binary64))))) (exp.f64 (.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	95.6%	(/.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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	94.8%	(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	98.8%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
▶	98.8%	(/.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))))))
	96.2%	(-.f64 (/.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)) #s(literal -1/4 binary64)))
	98.6%	(*.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 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
	98.2%	(*.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))))
	96.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.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))))))))
	95.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (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 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f))))
	94.7%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))

Compiler

Compiled 1364 to 714 computations (47.7% saved)

simplify212.0ms (1.1%)

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	(/.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))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64))))
✓	cost-diff	13056	(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) #s(literal 4 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	cost-diff	128	(/.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))))))
✓	cost-diff	0	(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
✓	cost-diff	128	(log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))
✓	cost-diff	128	(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	0	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	cost-diff	0	(tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	cost-diff	0	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	cost-diff	0	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))

Rules

3772×	`-lowering-.f32`
3772×	`-lowering-.f64`
1914×	`/-lowering-/.f32`
1914×	`/-lowering-/.f64`
1608×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	350
1	106	344
2	287	329
3	832	327
4	3405	327
0	8321	327

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

localize372.0ms (2%)

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	99.3%	(/.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	98.8%	(-.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)))))))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.3%	(log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	accuracy	98.5%	(sqrt.f64 (PI.f64))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (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	99.3%	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.6%	(/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
✓	accuracy	99.6%	(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.5%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓	accuracy	99.3%	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	98.1%	(PI.f64)

Results

145.0ms	248×	0	valid
135.0ms	5×	5	exit
10.0ms	1×	4	valid
2.0ms	2×	1	valid

Compiler

Compiled 365 to 39 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 229.0ms

ival-log: 72.0ms (31.5% of total)

ival-div: 48.0ms (21% of total)

ival-tanh: 45.0ms (19.7% of total)

ival-mult: 28.0ms (12.2% of total)

ival-cosh: 14.0ms (6.1% of total)

ival-sinh: 13.0ms (5.7% of total)

backward-pass: 3.0ms (1.3% of total)

ival-sqrt: 2.0ms (0.9% of total)

const: 1.0ms (0.4% of total)

ival-pi: 1.0ms (0.4% of total)

ival-sub: 1.0ms (0.4% of total)

series379.0ms (2%)

Counts

22 → 216

Calls

Call 1

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

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)))>
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#<alt (* 16 (/ (- (* -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)))))))))) (pow (PI) 2)))>
#<alt (* 16 (/ (- (* -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)))))))))) (pow (PI) 2)))>
#<alt (* 16 (/ (- (* -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)))))))))) (pow (PI) 2)))>
#<alt (* 16 (/ (- (* -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)))))))))) (pow (PI) 2)))>
#<alt (* 16 (/ (- (* -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)))))))))) (pow (PI) 2)))>
#<alt (* 16 (/ (- (* -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)))))))))) (pow (PI) 2)))>
#<alt (- (* -1/4 (* (PI) (log 2))) (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))))>
#<alt (- (+ (* -1/4 (* (PI) (log 2))) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))))>
#<alt (- (+ (* -1/4 (* (PI) (log 2))) (* f (- (* f (- (* -1/128 (pow (PI) 3)) (* -1/8 (* (PI) (+ (* -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)))))))) (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))))>
#<alt (- (+ (* -1/4 (* (PI) (log 2))) (* f (- (* f (- (+ (* -1/128 (pow (PI) 3)) (* f (- (* 1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* -1/24 (* (PI) (+ (* -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)))))))))) (* -1/8 (* (PI) (+ (* -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)))))))) (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (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))))))))))>
#<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 2)))>
#<alt (+ (* -1/4 (* (PI) (log 2))) (* -1/128 (* (pow f 2) (pow (PI) 3))))>
#<alt (+ (* -1/4 (* (PI) (log 2))) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (* 1/8 (* f (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))))))>
#<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))))))))))>
#<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)))))))))>
#<alt (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI))))))>
#<alt (+ (* -1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))))>
#<alt (+ (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))) (* f (+ (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* -1/8 (* f (* (PI) (+ (* -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 (+ (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))) (* f (+ (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (+ (* -1/8 (* (PI) (+ (* -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)))))) (* -1/24 (* f (* (PI) (+ (* -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)))))))))))))>
#<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
96.0ms	f	@	inf	(/ (* (log (/ 1 (tanh (/ (PI) (/ 4 f))))) (/ -4 (sqrt (PI)))) (sqrt (PI)))
49.0ms	f	@	inf	(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
47.0ms	f	@	-inf	(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
36.0ms	f	@	-inf	(/ (* (log (/ 1 (tanh (/ (PI) (/ 4 f))))) (/ -4 (sqrt (PI)))) (sqrt (PI)))
29.0ms	f	@	inf	(/ (log (tanh (/ (PI) (/ 4 f)))) (/ (PI) 4))

rewrite436.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3910×	`/-lowering-/.f32`
3910×	`/-lowering-/.f64`
3224×	`-lowering-.f32`
3224×	`-lowering-.f64`
1882×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	217
1	236	207
2	1780	205
0	8504	205

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 1189

Calls

Call 1

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

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

simplify329.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

5488×	`-lowering-.f32`
5488×	`-lowering-.f64`
2430×	`+-lowering-+.f64`
2430×	`+-lowering-+.f32`
1500×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	452	7811
1	1621	6494
2	7975	6494
0	8107	6494

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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)))
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(.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))))
(- (* -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))))))))))
(.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))))
(- (* -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))))))))))
(.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (-.f64 (log.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))))
(* -1/4 (* (PI) (log 2)))
(.f64 (PI.f64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(+ (* -1/4 (* (PI) (log 2))) (* -1/128 (* (pow f 2) (pow (PI) 3))))
(+.f64 (.f64 (PI.f64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal -1/128 binary64) (.f64 (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) f) f)))
(+ (* -1/4 (* (PI) (log 2))) (* (pow f 2) (+ (* -1/128 (pow (PI) 3)) (* 1/8 (* f (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3)))))))))
(+.f64 (.f64 (PI.f64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 f f) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))) (.f64 f (.f64 (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (*.f64 (PI.f64) #s(literal 1/8 binary64)))))))
(+ (* -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))))))))))
(+.f64 (.f64 (PI.f64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal -1/4 binary64))) (.f64 f (.f64 f (+.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64))) (.f64 f (+.f64 (.f64 (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/128 binary64)))) (.f64 (PI.f64) #s(literal 1/8 binary64))) (.f64 (.f64 f (PI.f64)) (.f64 (+.f64 (+.f64 (.f64 #s(literal 3 binary64) (.f64 (PI.f64) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))))) (.f64 #s(literal -12 binary64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/32 binary64))) (.f64 #s(literal -1/1536 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -3/256 binary64))) #s(literal -1/96 binary64)))))))))
(* -1/4 (* (PI) (log (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(.f64 (log.f64 (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI))))))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (*.f64 (PI.f64) #s(literal -1/4 binary64)))
(+ (* -1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))) (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))))
(+.f64 (.f64 f #s(literal 0 binary64)) (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal -1/4 binary64))))
(+ (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))) (* f (+ (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* -1/8 (* f (* (PI) (+ (* -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))))))))))
(+.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 f (+.f64 #s(literal 0 binary64) (.f64 f (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/384 binary64)))) (PI.f64))) (.f64 (PI.f64) #s(literal -1/8 binary64)))))))
(+ (* -1/4 (* (PI) (+ (log f) (log (* 1/2 (PI)))))) (* f (+ (* -1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (+ (* -1/8 (* (PI) (+ (* -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)))))) (* -1/24 (* f (* (PI) (+ (* -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)))))))))))))
(+.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 f (+.f64 #s(literal 0 binary64) (.f64 f (+.f64 (.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 #s(literal 4 binary64) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/384 binary64)))) (PI.f64))) (.f64 (PI.f64) #s(literal -1/8 binary64))) (.f64 (.f64 #s(literal -1/24 binary64) (.f64 f (PI.f64))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 (PI.f64) (.f64 (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64)))) #s(literal -1/4 binary64))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/32 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/3072 binary64)))) #s(literal 12 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (/.f64 (.f64 #s(literal 0 binary64) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/384 binary64)))) (.f64 (PI.f64) (PI.f64)))))))))))
(* -1/4 (* (PI) (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(.f64 (log.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))) (.f64 (PI.f64) #s(literal -1/4 binary64)))

eval420.0ms (2.2%)

Compiler: Compiled 81856 to 7453 computations (90.9% saved)

prune270.0ms (1.4%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	2506	16	2522
Fresh	13	2	15
Picked	3	2	5
Done	0	0	0
Total	2522	20	2542

Accuracy

100.0%

Counts

2542 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.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))))))
	10.4%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -2 binary64))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	94.7%	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	94.8%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	94.7%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f #s(literal 1/2 binary64)))) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	94.7%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	95.6%	(/.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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	94.8%	(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	94.3%	(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
	96.5%	(/.f64 (log.f64 (*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.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)))
	98.3%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
✓	98.8%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
	95.4%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 f (+.f64 #s(literal 0 binary64) (.f64 f (+.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))) #s(literal -1/768 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64))))))))))))
✓	98.8%	(/.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))))))
▶	94.6%	(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -1/4 binary64)))
	94.6%	(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 f #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	94.7%	(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
▶	95.5%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (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 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f))))

Compiler

Compiled 742 to 542 computations (27% saved)

simplify215.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64))
✓	cost-diff	0	(/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -1/4 binary64))
✓	cost-diff	0	(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -1/4 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 2 binary64) (PI.f64))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))
✓	cost-diff	0	(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64))))
✓	cost-diff	0	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	1024	(/.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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)
✓	cost-diff	1024	(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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f))
✓	cost-diff	1152	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (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 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)))
✓	cost-diff	1216	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (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 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f))))
✓	cost-diff	0	(*.f64 (PI.f64) f)
✓	cost-diff	0	(.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))
✓	cost-diff	0	(log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
✓	cost-diff	0	(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (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	128	(/.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))))))

Rules

3098×	`-lowering-.f32`
3098×	`-lowering-.f64`
2106×	`/-lowering-/.f32`
2106×	`/-lowering-/.f64`
1394×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	452
1	145	396
2	404	377
3	1211	361
4	2829	312
5	5863	312
0	8111	312

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (/ 4 (PI)) (/ 1 (log (tanh (/ (PI) (/ 4 f))))))
(/ 4 (PI))
4
(PI)
(/ 1 (log (tanh (/ (PI) (/ 4 f)))))
1
(log (tanh (/ (PI) (/ 4 f))))
(tanh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(/ 4 f)
f
(* (log (* (* (PI) f) 1/4)) (/ 4 (PI)))
(log (* (* (PI) f) 1/4))
(* (* (PI) f) 1/4)
(* (PI) f)
(PI)
f
1/4
(/ 4 (PI))
4
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f))))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f)))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f))
(/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f)
(+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))))))
(/ 2 (* (PI) 1/2))
2
(* (PI) 1/2)
1/2
(* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))
f
(* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))))
(+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))
(* 1/16 (* (PI) 2))
1/16
(* (PI) 2)
(* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))
-2
(* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))
(* (PI) (* (PI) 2))
(/ 1/96 (PI))
1/96
(/ (- (log (/ 2 (PI))) (log (* f 1/2))) (/ (PI) -4))
(- (log (/ 2 (PI))) (log (* f 1/2)))
(log (/ 2 (PI)))
(/ 2 (PI))
2
(PI)
(log (* f 1/2))
(* f 1/2)
f
1/2
(/ (PI) -4)
-4
(- (/ (/ (log 2) (PI)) -1/4) (/ (/ (log (* (PI) (* f 1/2))) (PI)) -1/4))
(/ (/ (log 2) (PI)) -1/4)
(/ (log 2) (PI))
(log 2)
2
(PI)
-1/4
(/ (/ (log (* (PI) (* f 1/2))) (PI)) -1/4)
(/ (log (* (PI) (* f 1/2))) (PI))
(log (* (PI) (* f 1/2)))
(* (PI) (* f 1/2))
(* f 1/2)
f
1/2

Outputs
(/ (/ 4 (PI)) (/ 1 (log (tanh (/ (PI) (/ 4 f))))))
(/.f64 (log.f64 (tanh.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(/ 1 (log (tanh (/ (PI) (/ 4 f)))))
(/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64))))))
1
#s(literal 1 binary64)
(log (tanh (/ (PI) (/ 4 f))))
(log.f64 (tanh.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))))
(tanh (/ (PI) (/ 4 f)))
(tanh.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64))))
(/ (PI) (/ 4 f))
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
(/ 4 f)
(/.f64 #s(literal 4 binary64) f)
f
(* (log (* (* (PI) f) 1/4)) (/ 4 (PI)))
(/.f64 (log.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(log (* (* (PI) f) 1/4))
(log.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64))))
(* (* (PI) f) 1/4)
(*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))
(* (PI) f)
(*.f64 (PI.f64) f)
(PI)
(PI.f64)
f
1/4
#s(literal 1/4 binary64)
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 f f) #s(literal 1/12 binary64)))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 f f) #s(literal 1/12 binary64)))) f)) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 f f) #s(literal 1/12 binary64)))) f))
(/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 f f) #s(literal 1/12 binary64)))) f)
(+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))))))
(+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (.f64 (*.f64 f f) #s(literal 1/12 binary64))))
(/ 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))
1/2
#s(literal 1/2 binary64)
(* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))
(.f64 (PI.f64) (.f64 (*.f64 f f) #s(literal 1/12 binary64)))
f
(* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(* 1/16 (* (PI) 2))
(*.f64 (PI.f64) #s(literal 1/8 binary64))
1/16
#s(literal 1/16 binary64)
(* (PI) 2)
(*.f64 (PI.f64) #s(literal 2 binary64))
(* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))
(*.f64 (PI.f64) #s(literal -1/24 binary64))
-2
#s(literal -2 binary64)
(* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))
(*.f64 (PI.f64) #s(literal 1/48 binary64))
(* (PI) (* (PI) 2))
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64)))
(/ 1/96 (PI))
(/.f64 #s(literal 1/96 binary64) (PI.f64))
1/96
#s(literal 1/96 binary64)
(/ (- (log (/ 2 (PI))) (log (* f 1/2))) (/ (PI) -4))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(- (log (/ 2 (PI))) (log (* f 1/2)))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64))))
(log (/ 2 (PI)))
(log.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))
(/ 2 (PI))
(/.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
(log (* f 1/2))
(log.f64 (*.f64 f #s(literal 1/2 binary64)))
(* f 1/2)
(*.f64 f #s(literal 1/2 binary64))
f
1/2
#s(literal 1/2 binary64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(- (/ (/ (log 2) (PI)) -1/4) (/ (/ (log (* (PI) (* f 1/2))) (PI)) -1/4))
(+.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))))
(/ (/ (log 2) (PI)) -1/4)
(/.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (log 2) (PI))
(/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
-1/4
#s(literal -1/4 binary64)
(/ (/ (log (* (PI) (* f 1/2))) (PI)) -1/4)
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (log (* (PI) (* f 1/2))) (PI))
(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (PI.f64))
(log (* (PI) (* f 1/2)))
(log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
(* (PI) (* f 1/2))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* f 1/2)
(*.f64 f #s(literal 1/2 binary64))
f
1/2
#s(literal 1/2 binary64)

localize335.0ms (1.8%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
✓	accuracy	99.5%	(/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (PI.f64))
✓	accuracy	99.4%	(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -1/4 binary64)))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.5%	(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64))))
✓	accuracy	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	98.5%	(log.f64 (/.f64 #s(literal 2 binary64) (PI.f64)))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.0%	(.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64))))))
✓	accuracy	98.5%	(/.f64 #s(literal 1/96 binary64) (PI.f64))
✓	accuracy	98.5%	(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	100.0%	(log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.4%	(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.4%	(/.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))))))
✓	accuracy	99.3%	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	98.1%	(PI.f64)

Results

175.0ms	248×	0	valid
53.0ms	5×	5	exit
6.0ms	1×	4	valid
2.0ms	2×	1	valid

Compiler

Compiled 470 to 57 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-log: 48.0ms (29.8% of total)

ival-mult: 44.0ms (27.3% of total)

ival-div: 34.0ms (21.1% of total)

ival-tanh: 16.0ms (9.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (2.5% of total)

ival-add: 4.0ms (2.5% of total)

ival-sub: 3.0ms (1.9% of total)

backward-pass: 3.0ms (1.9% of total)

const: 2.0ms (1.2% of total)

ival-pi: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

series314.0ms (1.7%)

Counts

27 → 216

Calls

Call 1

Inputs
#<alt (/ (/ 4 (PI)) (/ 1 (log (tanh (/ (PI) (/ 4 f))))))>
#<alt (/ 4 (PI))>
#<alt (PI)>
#<alt (/ 1 (log (tanh (/ (PI) (/ 4 f)))))>
#<alt (* (log (* (* (PI) f) 1/4)) (/ 4 (PI)))>
#<alt (log (* (* (PI) f) 1/4))>
#<alt (* (* (PI) f) 1/4)>
#<alt (* (PI) f)>
#<alt (neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f))))>
#<alt (* (/ 1 (/ (PI) 4)) (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f)))>
#<alt (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f))>
#<alt (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f)>
#<alt (/ (- (log (/ 2 (PI))) (log (* f 1/2))) (/ (PI) -4))>
#<alt (- (log (/ 2 (PI))) (log (* f 1/2)))>
#<alt (log (/ 2 (PI)))>
#<alt (/ 2 (PI))>
#<alt (- (/ (/ (log 2) (PI)) -1/4) (/ (/ (log (* (PI) (* f 1/2))) (PI)) -1/4))>
#<alt (/ (/ (log 2) (PI)) -1/4)>
#<alt (/ (log 2) (PI))>
#<alt (log 2)>
#<alt (log (tanh (/ (PI) (/ 4 f))))>
#<alt (/ (PI) (/ 4 f))>
#<alt (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))>
#<alt (/ 1/96 (PI))>
#<alt (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))))>
#<alt (/ (log (* (PI) (* f 1/2))) (PI))>
#<alt (* (PI) (* f 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))))>
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#<alt (* -4 (/ (- (log (/ 2 (PI))) (+ (log 1/2) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 2 (PI))) (+ (log 1/2) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 2 (PI))) (+ (log 1/2) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 2 (PI))) (+ (log 1/2) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 2 (PI))) (+ (log -1/2) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 2 (PI))) (+ (log -1/2) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 2 (PI))) (+ (log -1/2) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log (/ 2 (PI))) (+ (log -1/2) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (- (log (/ 2 (PI))) (+ (log 1/2) (log f)))>
#<alt (- (log (/ 2 (PI))) (+ (log 1/2) (log f)))>
#<alt (- (log (/ 2 (PI))) (+ (log 1/2) (log f)))>
#<alt (- (log (/ 2 (PI))) (+ (log 1/2) (log f)))>
#<alt (- (log (/ 2 (PI))) (+ (log 1/2) (* -1 (log (/ 1 f)))))>
#<alt (- (log (/ 2 (PI))) (+ (log 1/2) (* -1 (log (/ 1 f)))))>
#<alt (- (log (/ 2 (PI))) (+ (log 1/2) (* -1 (log (/ 1 f)))))>
#<alt (- (log (/ 2 (PI))) (+ (log 1/2) (* -1 (log (/ 1 f)))))>
#<alt (- (log (/ 2 (PI))) (+ (log -1/2) (* -1 (log (/ -1 f)))))>
#<alt (- (log (/ 2 (PI))) (+ (log -1/2) (* -1 (log (/ -1 f)))))>
#<alt (- (log (/ 2 (PI))) (+ (log -1/2) (* -1 (log (/ -1 f)))))>
#<alt (- (log (/ 2 (PI))) (+ (log -1/2) (* -1 (log (/ -1 f)))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log f) (log (* 1/2 (PI)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))))>
#<alt (- (* -4 (/ (log 2) (PI))) (* -4 (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 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 (* 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 (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (* f (+ (* -1/24 (PI)) (* 1/8 (PI))))>
#<alt (/ (+ (log f) (log (* 1/2 (PI)))) (PI))>
#<alt (/ (+ (log f) (log (* 1/2 (PI)))) (PI))>
#<alt (/ (+ (log f) (log (* 1/2 (PI)))) (PI))>
#<alt (/ (+ (log f) (log (* 1/2 (PI)))) (PI))>
#<alt (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))>
#<alt (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))>
#<alt (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))>
#<alt (/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))>
#<alt (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))>
#<alt (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))>
#<alt (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))>
#<alt (/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 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

54 calls:

Time	Variable		Point	Expression
162.0ms	f	@	0	(/ (- (log (/ 2 (PI))) (log (* f 1/2))) (/ (PI) -4))
29.0ms	f	@	0	(- (/ (/ (log 2) (PI)) -1/4) (/ (/ (log (* (PI) (* f 1/2))) (PI)) -1/4))
22.0ms	f	@	inf	(- (/ (/ (log 2) (PI)) -1/4) (/ (/ (log (* (PI) (* f 1/2))) (PI)) -1/4))
18.0ms	f	@	0	(* (log (* (* (PI) f) 1/4)) (/ 4 (PI)))
17.0ms	f	@	-inf	(* (log (* (* (PI) f) 1/4)) (/ 4 (PI)))

rewrite692.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3762×	`/-lowering-/.f32`
3762×	`/-lowering-/.f64`
3592×	`-lowering-.f32`
3592×	`-lowering-.f64`
2242×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	56	285
1	328	241
2	3115	241
0	9225	241

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 1053

Calls

Call 1

Inputs
(/ (/ 4 (PI)) (/ 1 (log (tanh (/ (PI) (/ 4 f))))))
(/ 4 (PI))
(PI)
(/ 1 (log (tanh (/ (PI) (/ 4 f)))))
(* (log (* (* (PI) f) 1/4)) (/ 4 (PI)))
(log (* (* (PI) f) 1/4))
(* (* (PI) f) 1/4)
(* (PI) f)
(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f))))
(* (/ 1 (/ (PI) 4)) (log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f)))
(log (/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f))
(/ (+ (/ 2 (* (PI) 1/2)) (* f (* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))))) f)
(/ (- (log (/ 2 (PI))) (log (* f 1/2))) (/ (PI) -4))
(- (log (/ 2 (PI))) (log (* f 1/2)))
(log (/ 2 (PI)))
(/ 2 (PI))
(- (/ (/ (log 2) (PI)) -1/4) (/ (/ (log (* (PI) (* f 1/2))) (PI)) -1/4))
(/ (/ (log 2) (PI)) -1/4)
(/ (log 2) (PI))
(log 2)
(log (tanh (/ (PI) (/ 4 f))))
(/ (PI) (/ 4 f))
(+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))
(/ 1/96 (PI))
(* f (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))))
(/ (log (* (PI) (* f 1/2))) (PI))
(* (PI) (* f 1/2))

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

simplify253.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

3880×	`-lowering-.f32`
3880×	`-lowering-.f64`
1860×	`+-lowering-+.f64`
1860×	`+-lowering-+.f32`
1778×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	391	4291
1	1361	3833
2	5802	3830
0	8097	3830

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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)))
(/ 1 (+ (log f) (log (* 1/4 (PI)))))
(+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (/ 1 (+ (log f) (log (* 1/4 (PI))))))
(+ (* f (- (* -1 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (pow (PI) 2) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 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)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (/ 1 (+ (log f) (log (* 1/4 (PI))))))
(+ (* f (- (* f (- (* -1 (* f (+ (* -2 (/ (* (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (pow (PI) 2) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 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)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (+ (log f) (log (* 1/4 (PI))))))) (+ (* -1 (/ (* (+ (* -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)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/6 (/ (+ (* -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))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))))) (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (pow (PI) 2) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 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)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (/ 1 (+ (log f) (log (* 1/4 (PI))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/ 1 (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))))
(/ 1 (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 f) (log (* 1/4 (PI)))) (PI)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (log (* 1/4 (PI))))
(+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))
(+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))
(+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))
(+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))
(+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))
(+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))
(+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))
(+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* 1/4 (* f (PI)))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* f (PI))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(- (* -1 (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(- (* (pow f 2) (- (* 1/8 (* (pow f 2) (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(- (* (pow f 2) (- (* (pow f 2) (- (* -1/48 (* (pow f 2) (* (pow (PI) 2) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3)))) (* -1/8 (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))) (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))))
(* -4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI)))
(* -1 (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))))
(- (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))
(- (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))) (+ (* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))))
(* -4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI)))
(* -1 (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (* 16 (/ 1 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))))
(- (/ 32 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI))))))))
(- (* 32 (/ 1 (* (pow f 4) (* (pow (PI) 3) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))))) (+ (* 4 (/ (+ (log (* -1 (+ (* -1/24 (PI)) (* 1/8 (PI))))) (* -1 (log (/ -1 f)))) (PI))) (+ (* 256/3 (/ 1 (* (pow f 6) (* (pow (PI) 4) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))) (/ 16 (* (pow f 2) (* (pow (PI) 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))))))
(* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (* 1/8 (PI)))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/8 (* (pow f 2) (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2)))) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(+ (* 4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI))) (* (pow f 2) (+ (* -1/24 (PI)) (+ (* 1/8 (PI)) (* (pow f 2) (+ (* -1/8 (* (PI) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 2))) (* 1/48 (* (pow f 2) (* (pow (PI) 2) (pow (+ (* -1/24 (PI)) (* 1/8 (PI))) 3))))))))))
(* 4 (/ (+ (log (+ (* -1/24 (PI)) (* 1/8 (PI)))) (* -1 (log (/ 1 f)))) (PI)))
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(+ (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)))))))))))
(+.f64 (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (.f64 f (+.f64 (.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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/768 binary64)) (.f64 #s(literal -1/128 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))) (/.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (PI.f64))) (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (PI.f64)) (PI.f64)) (.f64 #s(literal 24 binary64) (/.f64 (+.f64 (.f64 (.f64 (PI.f64) (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/192 binary64))))) #s(literal -1/8 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/32 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 4 binary64)) #s(literal -1/3072 binary64)))) (+.f64 (.f64 (+.f64 (.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64))) (.f64 #s(literal -1/128 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 (PI.f64) #s(literal -1/8 binary64))) #s(literal 0 binary64)))) (PI.f64))))) (.f64 f #s(literal 1/6 binary64))) (+.f64 (/.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (PI.f64)) (.f64 #s(literal 4 binary64) (/.f64 (+.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 #s(literal -1/128 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))))) (PI.f64)))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log.f64 (/.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64))))) (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 #s(literal -1/4 binary64) (.f64 f (PI.f64)))))))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* -1/24 (PI)) (* 1/8 (PI))))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(/ (+ (log f) (log (* 1/2 (PI)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64))
(/ (+ (log f) (log (* 1/2 (PI)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64))
(/ (+ (log f) (log (* 1/2 (PI)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64))
(/ (+ (log f) (log (* 1/2 (PI)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64))
(/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64))
(/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64))
(/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64))
(/ (+ (log (* 1/2 (PI))) (* -1 (log (/ 1 f)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (PI.f64))
(/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(/ (+ (log (* -1/2 (PI))) (* -1 (log (/ -1 f)))) (PI))
(/.f64 (-.f64 (log.f64 (*.f64 (PI.f64) #s(literal -1/2 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))
(* 1/2 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))

eval295.0ms (1.6%)

Compiler: Compiled 52390 to 7644 computations (85.4% saved)

prune219.0ms (1.2%)

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1948	12	1960
Fresh	5	8	13
Picked	3	2	5
Done	1	1	2
Total	1957	23	1980

Accuracy

100.0%

Counts

1980 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.8%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -1/4 binary64))
▶	94.7%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
	10.4%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -2 binary64))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	94.7%	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	94.8%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	94.7%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	1.6%	(/.f64 (.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
	95.6%	(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	94.3%	(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
	96.5%	(/.f64 (log.f64 (*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.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)))
	98.3%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
✓	98.8%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
▶	98.8%	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
	94.7%	(+.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (.f64 (PI.f64) f))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(literal 1/4 binary64))))
	94.7%	(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
	94.2%	(.f64 (log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
✓	94.7%	(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
	95.6%	(neg.f64 (/.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 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)))))
▶	49.3%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 f (PI.f64)))))))))
	1.6%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))

Compiler

Compiled 723 to 542 computations (25% saved)

simplify181.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
✓	cost-diff	0	(log.f64 f)
✓	cost-diff	0	(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
✓	cost-diff	0	(.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)))))
✓	cost-diff	0	(/.f64 (.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
✓	cost-diff	128	(log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64)))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 f (PI.f64))))))))
✓	cost-diff	320	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.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)) (PI.f64))
✓	cost-diff	0	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -1/4 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 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))

Rules

3188×	`-lowering-.f32`
3188×	`-lowering-.f64`
1648×	`/-lowering-/.f32`
1648×	`/-lowering-/.f64`
1036×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	265
1	110	262
2	261	261
3	606	253
4	1263	253
5	2920	253
6	5513	253
0	8103	253

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 4 (/ (PI) (log (tanh (/ (PI) (/ 4 f))))))
4
(/ (PI) (log (tanh (/ (PI) (/ 4 f)))))
(PI)
(log (tanh (/ (PI) (/ 4 f))))
(tanh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(/ 4 f)
f
(/ (/ (log (/ (/ 4 (PI)) f)) (PI)) -1/4)
(/ (log (/ (/ 4 (PI)) f)) (PI))
(log (/ (/ 4 (PI)) f))
(/ (/ 4 (PI)) f)
(/ 4 (PI))
4
(PI)
f
-1/4
(neg (* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))))
(* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI))))))))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))
(* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI))))))
f
(+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))
(* (PI) 1/12)
1/12
(/ 4 (* f (* f (PI))))
(* f (* f (PI)))
(* f (PI))
(/ (* -4 (+ (log f) (log (* (PI) 1/12)))) (PI))
(* -4 (+ (log f) (log (* (PI) 1/12))))
-4
(+ (log f) (log (* (PI) 1/12)))
(log f)
f
(log (* (PI) 1/12))
(* (PI) 1/12)
(PI)
1/12
(/ (/ 4 (PI)) (/ 1 (+ (log f) (log (* 1/4 (PI))))))
(/ 4 (PI))
4
(PI)
(/ 1 (+ (log f) (log (* 1/4 (PI)))))
1
(+ (log f) (log (* 1/4 (PI))))
(log f)
f
(log (* 1/4 (PI)))
(* 1/4 (PI))
1/4

Outputs
(/ 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
#s(literal 4 binary64)
(/ (PI) (log (tanh (/ (PI) (/ 4 f)))))
(/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(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 (/ (/ 4 (PI)) f)) (PI)) -1/4)
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/ (log (/ (/ 4 (PI)) f)) (PI))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))
(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)
(neg (* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)) (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI))))))))
(/.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)) (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/ 1 (/ (PI) 4))
(/.f64 #s(literal 4 binary64) (PI.f64))
1
#s(literal 1 binary64)
(/ (PI) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
(PI)
(PI.f64)
4
#s(literal 4 binary64)
(log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))
(log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)) (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))
(* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI))))))
(+.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)) (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))
f
(+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))
(+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (*.f64 f f))))
(* (PI) 1/12)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(/ 4 (* f (* f (PI))))
(/.f64 #s(literal 4 binary64) (.f64 (PI.f64) (.f64 f f)))
(* f (* f (PI)))
(.f64 (PI.f64) (.f64 f f))
(* f (PI))
(*.f64 (PI.f64) f)
(/ (* -4 (+ (log f) (log (* (PI) 1/12)))) (PI))
(/.f64 (+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(* -4 (+ (log f) (log (* (PI) 1/12))))
(.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)))))
-4
#s(literal -4 binary64)
(+ (log f) (log (* (PI) 1/12)))
(+.f64 (log.f64 f) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(log f)
(log.f64 f)
f
(log (* (PI) 1/12))
(log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(* (PI) 1/12)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(PI)
(PI.f64)
1/12
#s(literal 1/12 binary64)
(/ (/ 4 (PI)) (/ 1 (+ (log f) (log (* 1/4 (PI))))))
(/.f64 (+.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/ 4 (PI))
(/.f64 #s(literal 4 binary64) (PI.f64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(/ 1 (+ (log f) (log (* 1/4 (PI)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))))
1
#s(literal 1 binary64)
(+ (log f) (log (* 1/4 (PI))))
(+.f64 (log.f64 f) (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(log f)
(log.f64 f)
f
(log (* 1/4 (PI)))
(log.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))
(* 1/4 (PI))
(/.f64 (PI.f64) #s(literal 4 binary64))
1/4
#s(literal 1/4 binary64)

localize231.0ms (1.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	97.6%	(log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))
✓	accuracy	99.5%	(/.f64 (.f64 #s(literal -4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
✓	accuracy	98.5%	(*.f64 (PI.f64) #s(literal 1/12 binary64))
✓	accuracy	98.5%	(log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 f (PI.f64))))))))
✓	accuracy	98.5%	(*.f64 (PI.f64) #s(literal 1/12 binary64))
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	55.1%	(.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))))
✓	accuracy	100.0%	(log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f))
✓	accuracy	99.5%	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))
✓	accuracy	99.3%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
✓	accuracy	98.1%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (PI.f64) (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	99.3%	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	98.1%	(PI.f64)

Results

120.0ms	248×	0	valid
47.0ms	5×	5	exit
5.0ms	1×	4	valid
2.0ms	2×	1	valid

Compiler

Compiled 278 to 41 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-log: 46.0ms (38.1% of total)

ival-div: 32.0ms (26.5% of total)

ival-tanh: 14.0ms (11.6% of total)

ival-mult: 13.0ms (10.8% of total)

...c/correct-round.rkt:119:19: 4.0ms (3.3% of total)

ival-add: 4.0ms (3.3% of total)

backward-pass: 2.0ms (1.7% of total)

const: 1.0ms (0.8% of total)

ival-pi: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

series86.0ms (0.5%)

Counts

24 → 216

Calls

Call 1

Inputs
#<alt (/ 4 (/ (PI) (log (tanh (/ (PI) (/ 4 f))))))>
#<alt (/ (PI) (log (tanh (/ (PI) (/ 4 f)))))>
#<alt (PI)>
#<alt (log (tanh (/ (PI) (/ 4 f))))>
#<alt (/ (/ (log (/ (/ 4 (PI)) f)) (PI)) -1/4)>
#<alt (/ (log (/ (/ 4 (PI)) f)) (PI))>
#<alt (log (/ (/ 4 (PI)) f))>
#<alt (/ (/ 4 (PI)) f)>
#<alt (neg (* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))))>
#<alt (* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI))))))))>
#<alt (/ 1 (/ (PI) 4))>
#<alt (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))>
#<alt (/ (* -4 (+ (log f) (log (* (PI) 1/12)))) (PI))>
#<alt (* -4 (+ (log f) (log (* (PI) 1/12))))>
#<alt (+ (log f) (log (* (PI) 1/12)))>
#<alt (log f)>
#<alt (/ (/ 4 (PI)) (/ 1 (+ (log f) (log (* 1/4 (PI))))))>
#<alt (/ 4 (PI))>
#<alt (/ 1 (+ (log f) (log (* 1/4 (PI)))))>
#<alt (/ (PI) (/ 4 f))>
#<alt (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI))))))>
#<alt (* (PI) 1/12)>
#<alt (log (* (PI) 1/12))>
#<alt (log (* 1/4 (PI)))>

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 (/ (PI) (+ (log f) (log (* 1/4 (PI)))))>
#<alt (+ (* -2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))) (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
#<alt (+ (* f (- (* -1 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (* (PI) (pow (+ (log f) (log (* 1/4 (PI)))) 3)))) (* 1/2 (/ (* (PI) (+ (* -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))))) (pow (+ (log f) (log (* 1/4 (PI)))) 2)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (+ (log f) (log (* 1/4 (PI)))) 2))))) (/ (PI) (+ (log f) (log (* 1/4 (PI))))))>
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#<alt (/ 1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (/ 1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))>
#<alt (/ 1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (/ 1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (/ 1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<alt (/ 1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))>
#<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 (/ 4 (* f (PI)))>
#<alt (/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)>
#<alt (/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)>
#<alt (* 1/12 (* f (PI)))>
#<alt (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))>
#<alt (* 1/12 (* f (PI)))>
#<alt (* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))>
#<alt (* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))>
#<alt (* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))>

Calls

54 calls:

Time	Variable		Point	Expression
40.0ms	f	@	0	(/ (* -4 (+ (log f) (log (* (PI) 1/12)))) (PI))
18.0ms	f	@	-inf	(/ (* -4 (+ (log f) (log (* (PI) 1/12)))) (PI))
7.0ms	f	@	inf	(/ (* -4 (+ (log f) (log (* (PI) 1/12)))) (PI))
7.0ms	f	@	0	(/ (/ 4 (PI)) (/ 1 (+ (log f) (log (* 1/4 (PI))))))
1.0ms	f	@	inf	(neg (* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))))

rewrite354.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3582×	`/-lowering-/.f32`
3582×	`/-lowering-/.f64`
3402×	`-lowering-.f32`
3402×	`-lowering-.f64`
1836×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	182
1	255	181
2	2110	181
0	8717	181

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 918

Calls

Call 1

Inputs
(/ 4 (/ (PI) (log (tanh (/ (PI) (/ 4 f))))))
(/ (PI) (log (tanh (/ (PI) (/ 4 f)))))
(PI)
(log (tanh (/ (PI) (/ 4 f))))
(/ (/ (log (/ (/ 4 (PI)) f)) (PI)) -1/4)
(/ (log (/ (/ 4 (PI)) f)) (PI))
(log (/ (/ 4 (PI)) f))
(/ (/ 4 (PI)) f)
(neg (* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))))
(* (/ 1 (/ (PI) 4)) (log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI))))))))
(/ 1 (/ (PI) 4))
(log (* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI)))))))
(/ (* -4 (+ (log f) (log (* (PI) 1/12)))) (PI))
(* -4 (+ (log f) (log (* (PI) 1/12))))
(+ (log f) (log (* (PI) 1/12)))
(log f)
(/ (/ 4 (PI)) (/ 1 (+ (log f) (log (* 1/4 (PI))))))
(/ 4 (PI))
(/ 1 (+ (log f) (log (* 1/4 (PI)))))
(/ (PI) (/ 4 f))
(* f (+ (* (PI) 1/12) (/ 4 (* f (* f (PI))))))
(* (PI) 1/12)
(log (* (PI) 1/12))
(log (* 1/4 (PI)))

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (PI.f64) (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) #s(literal -1 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))))
(neg.f64 (/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (*.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) (neg.f64 (neg.f64 (/.f64 (PI.f64) (*.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 #s(literal -1 binary64) (neg.f64 (/.f64 (PI.f64) (*.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 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (neg.f64 (/.f64 #s(literal 1 binary64) (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 (log.f64 (/.f64 #s(literal 1 binary64) (/.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 #s(literal 4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64))
(/.f64 (*.f64 #s(literal 1 binary64) (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) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) (*.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64)))
(*.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 #s(literal 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 #s(literal 1 binary64) (.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 #s(literal 4 binary64) (PI.f64))))
(*.f64 #s(literal -4 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (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)))) (PI.f64)) #s(literal 4 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (.f64 #s(literal 4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 4 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))) (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))
(pow.f64 (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 1 binary64))
(pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (PI.f64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (PI.f64) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(*.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 (cbrt.f64 (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (PI.f64)) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(*.f64 (-.f64 #s(literal 0 binary64) (PI.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 #s(literal 1 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 (PI.f64)))))
(fabs.f64 (PI.f64))
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
(expm1.f64 (log1p.f64 (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 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 (.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 (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 (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 (exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64)))) (exp.f64 (*.f64 #s(literal 1/2 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 (.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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))) (pow.f64 (sqrt.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 (tanh.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 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))
(+.f64 (log.f64 (expm1.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64)))))))
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(fma.f64 (.f64 f #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (.f64 f (.f64 (PI.f64) f))) (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (PI.f64) f) (.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f)))) (.f64 (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))) (.f64 (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))) (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64)))))) (+.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (-.f64 (.f64 (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))) (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64)))) (.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 f (/.f64 (.f64 f (*.f64 (PI.f64) f)) #s(literal 4 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (.f64 (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))) (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))))) (-.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64)))))
(/.f64 (.f64 f (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) f))))))) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f))) (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 (.f64 f (*.f64 (PI.f64) f)) #s(literal 4 binary64)))))
(/.f64 (.f64 f (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) f)))))) (-.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/1728 binary64)) (/.f64 #s(literal 64 binary64) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) f)))))) f) (+.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f))) (.f64 (PI.f64) #s(literal 1/12 binary64))) (/.f64 (.f64 f (*.f64 (PI.f64) f)) #s(literal 4 binary64)))))
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(/.f64 (neg.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) f))))) f)) (neg.f64 (-.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f))))))
(/.f64 (+.f64 (.f64 (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))) (.f64 (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))) (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))))) (.f64 #s(literal 1/1728 binary64) (.f64 (.f64 (PI.f64) f) (.f64 (.f64 (PI.f64) f) (.f64 (PI.f64) f))))) (+.f64 (.f64 (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))) (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64)))) (-.f64 (.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))) (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))) (.f64 (/.f64 f (/.f64 (.f64 f (.f64 (PI.f64) f)) #s(literal 4 binary64))) (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))))))
(.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))
(.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))) f)
(*.f64 (PI.f64) #s(literal 1/12 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) #s(literal 1/12 binary64)))
(*.f64 #s(literal 1/12 binary64) (PI.f64))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) #s(literal 1/12 binary64)))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/12 binary64)))
(.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64)))
(+.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/12 binary64)))
(+.f64 (log.f64 #s(literal 1/12 binary64)) (log.f64 (PI.f64)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/12 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/12 binary64))))
(+.f64 (log.f64 (.f64 #s(literal 1/12 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(+.f64 (log.f64 (.f64 #s(literal 1/12 binary64) (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(-.f64 (/.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 1/12 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 1/12 binary64)))))
(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 1/12 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/12 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 2 binary64))) (log.f64 (/.f64 (PI.f64) #s(literal 1/12 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 (PI.f64) #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 1/12 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/12 binary64)) (log.f64 (PI.f64))))))
(log.f64 (/.f64 (PI.f64) #s(literal 4 binary64)))
(+.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))
(+.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal 1 binary64))))
(+.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (*.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (log.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) (log.f64 (.f64 (sqrt.f64 (PI.f64)) #s(literal 1/4 binary64))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 #s(literal -1/4 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (PI.f64) #s(literal -4 binary64))))
(+.f64 (log.f64 #s(literal -1/4 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))
(+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (PI.f64)))) (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(-.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 (PI.f64))))
(-.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))))
(-.f64 (log.f64 (/.f64 (PI.f64) #s(literal -4 binary64))) (log.f64 #s(literal -1 binary64)))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))))
(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (log.f64 (PI.f64)) (neg.f64 (log.f64 #s(literal 4 binary64))))
(neg.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))) (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal 1/4 binary64)) (log.f64 (PI.f64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 #s(literal 1/4 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 (PI.f64)) (log.f64 #s(literal 1/4 binary64))))))
(*.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))))

simplify247.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

3004×	`-lowering-.f32`
3004×	`-lowering-.f64`
1582×	`sum3-define`
1542×	`+-lowering-+.f64`
1542×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	374	4133
1	1252	3674
2	5030	3354
0	9173	3354

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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)))
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(/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)
(/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)
(* 1/12 (* f (PI)))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(* 1/12 (* f (PI)))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))

Outputs
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(+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f)))))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f)))))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(+ (log -1) (+ (log (* 1/12 (PI))) (* -1 (log (/ -1 f)))))
(+.f64 (log.f64 (*.f64 (PI.f64) #s(literal 1/12 binary64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(log f)
(log.f64 f)
(log f)
(log.f64 f)
(log f)
(log.f64 f)
(log f)
(log.f64 f)
(* -1 (log (/ 1 f)))
(log.f64 f)
(* -1 (log (/ 1 f)))
(log.f64 f)
(* -1 (log (/ 1 f)))
(log.f64 f)
(* -1 (log (/ 1 f)))
(log.f64 f)
(+ (log -1) (* -1 (log (/ -1 f))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+ (log -1) (* -1 (log (/ -1 f))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+ (log -1) (* -1 (log (/ -1 f))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+ (log -1) (* -1 (log (/ -1 f))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))))) (PI.f64))
(* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64))
(* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64))
(* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64))
(* 4 (/ (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))) (PI)))
(/.f64 (.f64 #s(literal 4 binary64) (+.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f))))) (PI.f64))
(/ 1 (+ (log f) (log (* 1/4 (PI)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 1 (+ (log f) (log (* 1/4 (PI)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 1 (+ (log f) (log (* 1/4 (PI)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 1 (+ (log f) (log (* 1/4 (PI)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 1 (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64)))))
(/ 1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))))
(/ 1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))))
(/ 1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))))
(/ 1 (+ (log -1) (+ (log (* 1/4 (PI))) (* -1 (log (/ -1 f))))))
(/.f64 #s(literal 1 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) f)))))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(* 1/4 (* f (PI)))
(.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))) f)
(/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))) f)
(/ (+ (* 1/12 (* (pow f 2) (PI))) (* 4 (/ 1 (PI)))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 f (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))) f)
(* 1/12 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))))
(* f (+ (* 1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI))))))
(.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 f (PI.f64))))))
(* 1/12 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64)))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
(.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal -4 binary64) (.f64 f (.f64 f (PI.f64))))) (-.f64 #s(literal 0 binary64) f))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
(.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal -4 binary64) (.f64 f (.f64 f (PI.f64))))) (-.f64 #s(literal 0 binary64) f))
(* -1 (* f (- (* -1/12 (PI)) (* 4 (/ 1 (* (pow f 2) (PI)))))))
(.f64 (+.f64 (.f64 (PI.f64) #s(literal -1/12 binary64)) (/.f64 #s(literal -4 binary64) (.f64 f (.f64 f (PI.f64))))) (-.f64 #s(literal 0 binary64) f))

eval228.0ms (1.2%)

Compiler: Compiled 32771 to 5345 computations (83.7% saved)

prune254.0ms (1.3%)

Pruning

27 alts after pruning (22 fresh and 5 done)

	Pruned	Kept	Total
New	1635	17	1652
Fresh	10	5	15
Picked	3	2	5
Done	0	3	3
Total	1648	27	1675

Accuracy

100.0%

Counts

1675 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.7%	(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (PI.f64)) #s(literal -1/4 binary64))
	94.3%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal -1/4 binary64))
✓	94.8%	(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -1/4 binary64))
	94.6%	(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
	94.7%	(/.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal -1/4 binary64))
	94.8%	(/.f64 (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) #s(literal -1/4 binary64))
	10.4%	(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -2 binary64))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	94.7%	(/.f64 (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	94.7%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	1.6%	(/.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))) #s(literal -4 binary64)) (PI.f64))
	49.3%	(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))) (PI.f64))
	1.6%	(/.f64 (.f64 #s(literal -4 binary64) (+.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 #s(literal 1/12 binary64)))) (PI.f64))
	96.5%	(/.f64 (log.f64 (*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.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)))
	49.3%	(/.f64 (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	98.3%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
✓	98.8%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	94.8%	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
✓	98.8%	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
	1.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))))))
	94.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
	94.7%	(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
	94.8%	(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	94.7%	(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
	49.3%	(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))
✓	94.7%	(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
	49.3%	(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))))))
	26.4%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) f))))) f) (-.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f))))))))

Compiler

Compiled 1893 to 685 computations (63.8% saved)

regimes110.0ms (0.6%)

Counts

67 → 1

Calls

Call 1

Inputs
(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(neg.f64 (/.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 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)))))
(/.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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)) (/.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 (/.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 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) f))))) f) (-.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 f (+.f64 #s(literal 0 binary64) (.f64 f (+.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))) #s(literal -1/768 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64))))))))))))
(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (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 -4 binary64) (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/12 binary64))))) (PI.f64))
(/.f64 (.f64 #s(literal -4 binary64) (+.f64 (log.f64 (.f64 (PI.f64) f)) (log.f64 #s(literal 1/12 binary64)))) (PI.f64))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (PI.f64)) #s(literal -1/4 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) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 f #s(literal 1/2 binary64)))) (log.f64 (PI.f64))) (/.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 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)) (log.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (log.f64 (*.f64 (PI.f64) f)) (PI.f64))) #s(literal -1/4 binary64))
(/.f64 (-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) (/.f64 (log.f64 f) (PI.f64))) #s(literal -1/4 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))))))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))
(.f64 (log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (cbrt.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))))
(+.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (.f64 (PI.f64) f))) (*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 #s(literal 1/4 binary64))))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal -1/4 binary64))
(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 f #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -1/4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
(/.f64 (log.f64 (*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64)))) (/.f64 #s(literal 1 binary64) (+.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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64))))
(*.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 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.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 (log1p.f64 (neg.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -2 binary64))))) (log1p.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -2 binary64))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.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))))))))
(-.f64 (/.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64)) #s(literal -1/4 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 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 2 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 (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)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal 2 binary64) (/.f64 f #s(literal 4 binary64))))) (exp.f64 (.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) #s(literal 2 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 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))) (+.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 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 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))))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.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 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 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))))))))))
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.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))) #s(literal 3 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 (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 (/.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) (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)))))))

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

Calls

6 calls:

21.0ms	f
18.0ms	(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))))))
17.0ms	(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))))))))
17.0ms	(/.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)))))
17.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)

Results

Accuracy	Segments	Branch
98.8%	1	`f`
98.8%	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))))))))`
98.8%	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)))))))`
98.8%	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))))))`
98.8%	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)))))`
98.8%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes11.0ms (0.1%)

Counts

28 → 1

Calls

Call 1

Inputs
(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(neg.f64 (/.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 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)))))
(/.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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)) (/.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 (/.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 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) f))))) f) (-.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 f (+.f64 #s(literal 0 binary64) (.f64 f (+.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))) #s(literal -1/768 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64))))))))))))
(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (+.f64 (log.f64 f) (log.f64 (*.f64 #s(literal 1/4 binary64) (PI.f64))))))

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes14.0ms (0.1%)

Counts

26 → 1

Calls

Call 1

Inputs
(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(neg.f64 (/.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 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)))))
(/.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 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)) (/.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 (/.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 (PI.f64) (.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (.f64 (-.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/144 binary64)) (/.f64 #s(literal 16 binary64) (.f64 (.f64 f (.f64 (PI.f64) f)) (.f64 f (.f64 (PI.f64) f))))) f) (-.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (.f64 f (+.f64 #s(literal 0 binary64) (.f64 f (+.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))) #s(literal -1/768 binary64)) (.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/32 binary64)) #s(literal -1/8 binary64))))))))))))
(*.f64 (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))

Outputs

(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (*.f64 (+.f64 (*.f64 (PI.f64) #s(literal 1/8 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (*.f64 f f))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
95.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0%)

Counts

19 → 1

Calls

Call 1

Inputs
(.f64 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (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 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64)))) #s(literal -4 binary64)) (PI.f64))
(/.f64 (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 (.f64 (PI.f64) f) #s(literal 1/4 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (*.f64 (PI.f64) #s(literal 1/12 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))
(.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))
(/.f64 (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 (PI.f64) f)))))))) (PI.f64))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (*.f64 f (PI.f64)))))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (.f64 f (+.f64 (.f64 (PI.f64) #s(literal 1/12 binary64)) (/.f64 #s(literal 4 binary64) (.f64 f (.f64 (PI.f64) f)))))))))

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
94.8%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

2.0ms

Results

Accuracy	Segments	Branch
94.8%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
94.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	80
1	51	80

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.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 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))

Outputs
(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64)) (PI.f64)))) (.f64 f f))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (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 (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (.f64 (*.f64 (PI.f64) f) #s(literal 1/4 binary64))))

soundness4.0s (21.3%)

Rules

5488×	`-lowering-.f32`
5488×	`-lowering-.f64`
4240×	`/-lowering-/.f32`
4240×	`/-lowering-/.f64`
4210×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
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	227	3317
1	749	2907
2	3265	2785
0	8978	2785
0	38	217
1	236	207
2	1780	205
0	8504	205
0	29	194
1	191	90
2	1475	90
0	8243	90
0	40	182
1	255	181
2	2110	181
0	8717	181
0	452	7811
1	1621	6494
2	7975	6494
0	8107	6494
0	56	285
1	328	241
2	3115	241
0	9225	241

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

Compiler

Compiled 153 to 99 computations (35.3% saved)

preprocess44.0ms (0.2%)

Compiler: Compiled 238 to 110 computations (53.8% saved)

analyze265.0ms (1.4%)

sample5.8s (30.9%)

preprocess283.0ms (1.5%)

explain312.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify169.0ms (0.9%)

localize292.0ms (1.5%)

series209.0ms (1.1%)

rewrite427.0ms (2.3%)

simplify263.0ms (1.4%)

eval200.0ms (1.1%)

prune127.0ms (0.7%)

simplify212.0ms (1.1%)

localize372.0ms (2%)

series379.0ms (2%)

rewrite436.0ms (2.3%)

simplify329.0ms (1.7%)

eval420.0ms (2.2%)

prune270.0ms (1.4%)

simplify215.0ms (1.1%)

localize335.0ms (1.8%)

series314.0ms (1.7%)

rewrite692.0ms (3.7%)

simplify253.0ms (1.3%)

eval295.0ms (1.6%)

prune219.0ms (1.2%)

simplify181.0ms (1%)

localize231.0ms (1.2%)

series86.0ms (0.5%)

rewrite354.0ms (1.9%)

simplify247.0ms (1.3%)

eval228.0ms (1.2%)

prune254.0ms (1.3%)

regimes110.0ms (0.6%)

regimes11.0ms (0.1%)

regimes14.0ms (0.1%)

regimes7.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify14.0ms (0.1%)

soundness4.0s (21.3%)

preprocess44.0ms (0.2%)

end0.0ms (0%)

Profiling