Metrics for VandenBroeck and Keller, Equation (20)

analyze304.0ms (1.5%)

Algorithm

1×

Search

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

Compiler

Compiled 39 to 17 computations (56.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-div: 45.0ms (26.4% of total)

ival-exp: 27.0ms (15.9% of total)

ival-mult: 25.0ms (14.7% of total)

ival-neg: 21.0ms (12.3% of total)

ival-log: 16.0ms (9.4% of total)

ival-add: 11.0ms (6.5% of total)

ival-pi: 10.0ms (5.9% of total)

ival-sub: 10.0ms (5.9% of total)

const: 4.0ms (2.3% of total)

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

sample6.2s (29.7%)

Results

2.6s	7672×	1	valid
2.5s	7145×	1	invalid
166.0ms	157×	2	valid
53.0ms	427×	0	valid
1.0ms	5×	0	unsamplable
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 4.3s

ival-exp: 988.0ms (22.9% of total)

ival-div: 762.0ms (17.6% of total)

backward-pass: 603.0ms (14% of total)

ival-mult: 511.0ms (11.8% of total)

ival-log: 425.0ms (9.8% of total)

ival-neg: 333.0ms (7.7% of total)

ival-add: 224.0ms (5.2% of total)

ival-sub: 221.0ms (5.1% of total)

ival-pi: 201.0ms (4.7% of total)

const: 50.0ms (1.2% of total)

Bogosity

preprocess292.0ms (1.4%)

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	7369	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	5302	32
13	5565	32
14	6103	32
15	7506	32
0	8032	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 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (*.f64 (PI.f64) (/.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))))))

explain411.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
249	-	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))))`
4	-	0	-	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
2	-	0	-	`(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))))))`
1	-	1	(98.52521254507026)	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
1	-	1	(98.52521254507026)	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`
0	-	0	-	`(PI.f64)`
0	-	0	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	-	0	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	-	0	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	-	0	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	-	0	-	`f`
0	-	0	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	-	0	-	`#s(literal 4 binary64)`
0	-	0	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	-	0	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	-	0	-	`#s(literal 1 binary64)`

Results

276.0ms	478×	1	valid
10.0ms	8×	2	valid
7.0ms	26×	0	valid

Compiler

Compiled 434 to 50 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 160.0ms

ival-exp: 57.0ms (35.6% of total)

backward-pass: 24.0ms (15% of total)

ival-div: 21.0ms (13.1% of total)

ival-mult: 15.0ms (9.4% of total)

ival-log: 14.0ms (8.7% of total)

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

ival-add: 6.0ms (3.7% of total)

ival-pi: 5.0ms (3.1% of total)

ival-sub: 5.0ms (3.1% of total)

const: 2.0ms (1.2% 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
▶	6.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	6.5%	(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

▶

6.5%

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

▶

6.5%

(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)

simplify158.0ms (0.8%)

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 (PI.f64) (/.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 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.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 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.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 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	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)))))))
✓	cost-diff	64	(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))
✓	cost-diff	64	(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))))))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))

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	74	325
2	172	325
3	322	325
4	507	325
5	721	325
6	957	325
7	1244	325
8	1896	325
9	2336	325
10	3071	325
11	4764	325
12	5323	325
13	5586	325
14	6124	325
15	7531	325
0	8057	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))
(/ f -4)
-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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))
(exp (* (/ (PI) 4) f))
(exp.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))
(* (/ (PI) 4) f)
(/.f64 (*.f64 (PI.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 (.f64 (PI.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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (/.f64 (.f64 (PI.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 (.f64 (PI.f64) f) #s(literal 4 binary64))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #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)
(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))
(/ f -4)
(/.f64 f #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(- (exp (* (PI) (/ f 4))) (exp (* (PI) (/ f -4))))
(-.f64 (exp.f64 (/.f64 (.f64 (PI.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))

localize301.0ms (1.4%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64)))))))
✓	accuracy	99.4%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	98.0%	(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))
✓	accuracy	10.5%	(-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64)))))
✓	accuracy	99.5%	(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%	(.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	98.0%	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))
✓	accuracy	10.5%	(-.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

227.0ms	245×	1	valid
17.0ms	4×	2	valid
3.0ms	7×	0	valid

Compiler

Compiled 346 to 30 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-exp: 37.0ms (25.8% of total)

ival-div: 31.0ms (21.6% of total)

ival-mult: 24.0ms (16.7% of total)

backward-pass: 18.0ms (12.5% of total)

ival-log: 14.0ms (9.8% of total)

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

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

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

ival-pi: 3.0ms (2.1% of total)

const: 1.0ms (0.7% of total)

series187.0ms (0.9%)

Counts

12 → 132

Calls

Call 1

Inputs
#<alt (/ 1 (/ (PI) 4))>
#<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 (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 (/ (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 (log (/ (+ (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 (* -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 (/ (+ (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 (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* -2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))))>
#<alt (+ (* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))) (* f (+ (* -2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))) (* f (+ (* -2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))))))))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
#<alt (* -4 (/ (log (/ (+ (exp (* -1/4 (* f (PI)))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI))))))) (PI)))>
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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>
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#<alt (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))>
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#<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))))))))>
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#<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 (* 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

33 calls:

Time	Variable		Point	Expression
57.0ms	f	@	-inf	(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (* (PI) (/ f -4)))) (- (exp (* (PI) (/ f 4))) (exp (* (PI) (/ f -4)))))) (/ (PI) -4))
43.0ms	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))))))))
41.0ms	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))))))))
26.0ms	f	@	inf	(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (* (PI) (/ f -4)))) (- (exp (* (PI) (/ f 4))) (exp (* (PI) (/ f -4)))))) (/ (PI) -4))
9.0ms	f	@	0	(neg (* (/ 1 (/ (PI) 4)) (log (/ (+ (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f)))) (- (exp (* (/ (PI) 4) f)) (exp (neg (* (/ (PI) 4) f))))))))

rewrite518.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4772×	`-lowering-.f32`
4772×	`-lowering-.f64`
4664×	`/-lowering-/.f32`
4664×	`/-lowering-/.f64`
1614×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	220
1	191	95
2	1507	91
0	8494	91

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 993

Calls

Call 1

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

simplify229.0ms (1.1%)

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	3377
1	749	2925
2	3279	2811
0	9030	2811

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

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

eval232.0ms (1.1%)

Compiler: Compiled 52512 to 3871 computations (92.6% saved)

prune161.0ms (0.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1183	22	1205
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	1185	22	1207

Accuracy

99.6%

Counts

1207 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.0%	(/.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)))
	97.3%	(/.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))))
	96.8%	(/.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)))
▶	97.3%	(/.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)))
	97.2%	(/.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)))))))
	97.0%	(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (.f64 f (.f64 #s(literal 1/2 binary64) (.f64 (+.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))))) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.9%	(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (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 #s(literal -1/4 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))))))))))
	96.4%	(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 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 (cbrt.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))))))))))
	96.8%	(/.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))))))))))
	98.8%	(/.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)))
▶	4.0%	(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #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)))
	96.9%	(/.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)))
	6.5%	(/.f64 (log.f64 (/.f64 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	96.7%	(/.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)))
▶	99.0%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	98.9%	(/.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))))))
	97.1%	(-.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)))
	98.7%	(*.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))))
	98.8%	(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1 binary64)))
▶	96.8%	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))))
	97.3%	(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))))))))
	96.6%	(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 1472 to 810 computations (45% saved)

simplify245.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #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)))
✓	cost-diff	128	(*.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #s(literal 2 binary64))
✓	cost-diff	128	(*.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64))
✓	cost-diff	13376	(/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #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)))
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	cost-diff	0	(log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	cost-diff	0	(-.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))))))
✓	cost-diff	0	(/.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)))
✓	cost-diff	0	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)))
✓	cost-diff	64	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓	cost-diff	0	(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))
✓	cost-diff	0	(/.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	128	(/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 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

3752×	`-lowering-.f32`
3752×	`-lowering-.f64`
1952×	`/-lowering-/.f32`
1952×	`/-lowering-/.f64`
1314×	`+-lowering-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	434
1	124	402
2	353	389
3	1154	383
4	4307	357
0	8633	357

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
(neg (* (/ 1 (/ (PI) 4)) (- (log (/ 2 (* (PI) 1/2))) (log f))))
(* (/ 1 (/ (PI) 4)) (- (log (/ 2 (* (PI) 1/2))) (log f)))
(/ 1 (/ (PI) 4))
1
(/ (PI) 4)
(PI)
4
(- (log (/ 2 (* (PI) 1/2))) (log f))
(log (/ 2 (* (PI) 1/2)))
(/ 2 (* (PI) 1/2))
2
(* (PI) 1/2)
1/2
(log f)
f
(/ (- (log (* 2 (cosh (/ (PI) (/ 4 f))))) (log (* 2 (sinh (/ (PI) (/ 4 f)))))) (/ (PI) -4))
(- (log (* 2 (cosh (/ (PI) (/ 4 f))))) (log (* 2 (sinh (/ (PI) (/ 4 f))))))
(log (* 2 (cosh (/ (PI) (/ 4 f)))))
(* 2 (cosh (/ (PI) (/ 4 f))))
2
(cosh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(PI)
(/ 4 f)
4
f
(log (* 2 (sinh (/ (PI) (/ 4 f)))))
(* 2 (sinh (/ (PI) (/ 4 f))))
(sinh (/ (PI) (/ 4 f)))
(/ (PI) -4)
-4
(/ (log (/ (- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2))) (pow (* 2 (sinh (/ (PI) (/ 4 f)))) 2))) (/ (PI) -4))
(log (/ (- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2))) (pow (* 2 (sinh (/ (PI) (/ 4 f)))) 2)))
(/ (- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2))) (pow (* 2 (sinh (/ (PI) (/ 4 f)))) 2))
(- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2)))
(exp (* (/ (PI) (/ 4 f)) 2))
(* (/ (PI) (/ 4 f)) 2)
(/ (PI) (/ 4 f))
(PI)
(/ 4 f)
4
f
2
(exp (* (/ (PI) (/ -4 f)) 2))
(* (/ (PI) (/ -4 f)) 2)
(/ (PI) (/ -4 f))
(/ -4 f)
-4
(pow (* 2 (sinh (/ (PI) (/ 4 f)))) 2)
(* 2 (sinh (/ (PI) (/ 4 f))))
(sinh (/ (PI) (/ 4 f)))
(/ (PI) -4)

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

localize656.0ms (3.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f))
✓	accuracy	99.4%	(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #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)))
✓	accuracy	49.1%	(/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #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)))
✓	accuracy	10.7%	(-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #s(literal 2 binary64))))
✓	accuracy	99.4%	(/.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)))
✓	accuracy	99.2%	(-.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))))))
✓	accuracy	98.5%	(log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	accuracy	98.5%	(log.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))
✓	accuracy	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(log.f64 (/.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 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
✓	accuracy	99.4%	(/.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	100.0%	(tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	accuracy	99.6%	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.4%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))

Results

531.0ms	242×	1	valid
16.0ms	4×	2	valid
10.0ms	10×	0	valid

Compiler

Compiled 442 to 47 computations (89.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-div: 55.0ms (22.8% of total)

ival-log: 45.0ms (18.6% of total)

ival-mult: 44.0ms (18.2% of total)

backward-pass: 40.0ms (16.6% of total)

ival-exp: 24.0ms (9.9% of total)

ival-sub: 8.0ms (3.3% of total)

ival-pow: 5.0ms (2.1% of total)

ival-sinh: 5.0ms (2.1% of total)

ival-cosh: 5.0ms (2.1% of total)

ival-pi: 3.0ms (1.2% of total)

ival-tanh: 3.0ms (1.2% of total)

const: 2.0ms (0.8% of total)

ival-neg: 2.0ms (0.8% of total)

series416.0ms (2%)

Counts

26 → 264

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 (/ 2 (* (PI) (* f 1/2)))>
#<alt (/ (log (/ 2 (* (PI) (* f 1/2)))) (/ (PI) -4))>
#<alt (log (/ 2 (* (PI) (* f 1/2))))>
#<alt (* (PI) (* f 1/2))>
#<alt (/ 1 (/ (PI) 4))>
#<alt (/ 2 (* (PI) 1/2))>
#<alt (neg (* (/ 1 (/ (PI) 4)) (- (log (/ 2 (* (PI) 1/2))) (log f))))>
#<alt (* (/ 1 (/ (PI) 4)) (- (log (/ 2 (* (PI) 1/2))) (log f)))>
#<alt (/ (- (log (* 2 (cosh (/ (PI) (/ 4 f))))) (log (* 2 (sinh (/ (PI) (/ 4 f)))))) (/ (PI) -4))>
#<alt (- (log (* 2 (cosh (/ (PI) (/ 4 f))))) (log (* 2 (sinh (/ (PI) (/ 4 f))))))>
#<alt (log (* 2 (cosh (/ (PI) (/ 4 f)))))>
#<alt (* 2 (cosh (/ (PI) (/ 4 f))))>
#<alt (/ (- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2))) (pow (* 2 (sinh (/ (PI) (/ 4 f)))) 2))>
#<alt (* (/ (PI) (/ 4 f)) 2)>
#<alt (* (/ (PI) (/ -4 f)) 2)>
#<alt (/ (log (/ (- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2))) (pow (* 2 (sinh (/ (PI) (/ 4 f)))) 2))) (/ (PI) -4))>
#<alt (log (/ 2 (* (PI) 1/2)))>
#<alt (- (log (/ 2 (* (PI) 1/2))) (log f))>
#<alt (PI)>
#<alt (log (* 2 (sinh (/ (PI) (/ 4 f)))))>
#<alt (- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2)))>
#<alt (/ (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)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
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#<alt (* -4 (/ (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2))) (PI)))>
#<alt (* -4 (/ (log (/ (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI))))) (pow (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) 2))) (PI)))>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (- (log (/ 4 (PI))) (log f))>
#<alt (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))>
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#<alt (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))>
#<alt (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))>
#<alt (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))>
#<alt (+ (log f) (log (* 1/2 (PI))))>
#<alt (+ (log f) (+ (log (* 1/2 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
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#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
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#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* f (- (* 1/2 (PI)) (* -1/2 (PI))))>
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#<alt (* f (- (+ (* 1/2 (PI)) (* (pow f 2) (- (+ (* 1/48 (pow (PI) 3)) (* (pow f 2) (- (* 1/3840 (pow (PI) 5)) (* -1/3840 (pow (PI) 5))))) (* -1/48 (pow (PI) 3))))) (* -1/2 (PI))))>
#<alt (* f (- (+ (* 1/2 (PI)) (* (pow f 2) (- (+ (* 1/48 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/3840 (pow (PI) 5)) (* (pow f 2) (- (* 1/645120 (pow (PI) 7)) (* -1/645120 (pow (PI) 7))))) (* -1/3840 (pow (PI) 5))))) (* -1/48 (pow (PI) 3))))) (* -1/2 (PI))))>
#<alt (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))>
#<alt (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))>
#<alt (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))>
#<alt (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))>
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#<alt (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))>
#<alt (- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))>
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#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>
#<alt (* -1/4 (* f (PI)))>

Calls

66 calls:

Time	Variable		Point	Expression
92.0ms	f	@	0	(neg (* (/ 1 (/ (PI) 4)) (- (log (/ 2 (* (PI) 1/2))) (log f))))
49.0ms	f	@	-inf	(/ (- (log (* 2 (cosh (/ (PI) (/ 4 f))))) (log (* 2 (sinh (/ (PI) (/ 4 f)))))) (/ (PI) -4))
46.0ms	f	@	inf	(/ (- (log (* 2 (cosh (/ (PI) (/ 4 f))))) (log (* 2 (sinh (/ (PI) (/ 4 f)))))) (/ (PI) -4))
44.0ms	f	@	-inf	(/ (log (tanh (/ (PI) (/ 4 f)))) (/ (PI) 4))
28.0ms	f	@	inf	(/ (log (tanh (/ (PI) (/ 4 f)))) (/ (PI) 4))

rewrite474.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3708×	`-lowering-.f32`
3708×	`-lowering-.f64`
3358×	`/-lowering-/.f32`
3358×	`/-lowering-/.f64`
1840×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	239
1	289	189
2	2299	187
0	8925	187

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1646

Calls

Call 1

Inputs
(/ (log (tanh (/ (PI) (/ 4 f)))) (/ (PI) 4))
(log (tanh (/ (PI) (/ 4 f))))
(tanh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(/ 2 (* (PI) (* f 1/2)))
(/ (log (/ 2 (* (PI) (* f 1/2)))) (/ (PI) -4))
(log (/ 2 (* (PI) (* f 1/2))))
(* (PI) (* f 1/2))
(/ 1 (/ (PI) 4))
(/ 2 (* (PI) 1/2))
(neg (* (/ 1 (/ (PI) 4)) (- (log (/ 2 (* (PI) 1/2))) (log f))))
(* (/ 1 (/ (PI) 4)) (- (log (/ 2 (* (PI) 1/2))) (log f)))
(/ (- (log (* 2 (cosh (/ (PI) (/ 4 f))))) (log (* 2 (sinh (/ (PI) (/ 4 f)))))) (/ (PI) -4))
(- (log (* 2 (cosh (/ (PI) (/ 4 f))))) (log (* 2 (sinh (/ (PI) (/ 4 f))))))
(log (* 2 (cosh (/ (PI) (/ 4 f)))))
(* 2 (cosh (/ (PI) (/ 4 f))))
(/ (- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2))) (pow (* 2 (sinh (/ (PI) (/ 4 f)))) 2))
(* (/ (PI) (/ 4 f)) 2)
(* (/ (PI) (/ -4 f)) 2)
(/ (log (/ (- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2))) (pow (* 2 (sinh (/ (PI) (/ 4 f)))) 2))) (/ (PI) -4))
(log (/ 2 (* (PI) 1/2)))
(- (log (/ 2 (* (PI) 1/2))) (log f))
(PI)
(log (* 2 (sinh (/ (PI) (/ 4 f)))))
(- (exp (* (/ (PI) (/ 4 f)) 2)) (exp (* (/ (PI) (/ -4 f)) 2)))
(/ (PI) (/ -4 f))

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

simplify309.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

4840×	`-lowering-.f32`
4840×	`-lowering-.f64`
2324×	`+-lowering-+.f64`
2324×	`+-lowering-+.f32`
1350×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	472	6071
1	1603	5030
2	7289	4988
0	8112	4988

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* 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)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(/ 4 (* f (PI)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(+ (log (/ 1 f)) (log (/ 4 (PI))))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(+ (log (/ -4 (PI))) (log (/ -1 f)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* 1/2 (* f (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (log f)) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(* 4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(* -4 (/ (- (log 2) (+ (log f) (log (* 1/2 (PI))))) (PI)))
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Outputs
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(+.f64 (+.f64 (log.f64 f) (log.f64 (.f64 (PI.f64) #s(literal 1/2 binary64)))) (.f64 f (+.f64 (/.f64 #s(literal 0 binary64) (PI.f64)) (.f64 f (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (PI.f64))) (.f64 #s(literal 2 binary64) (/.f64 (+.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 (+.f64 (/.f64 (.f64 (+.f64 (.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 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal -1/192 binary64))) (.f64 (PI.f64) #s(literal -1/4 binary64))) (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/32 binary64))))) #s(literal 12 binary64)) (PI.f64)) (+.f64 (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (.f64 #s(literal 0 binary64) (/.f64 (+.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)))))) (*.f64 f #s(literal 1/6 binary64))))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(log.f64 (-.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))))
(* f (- (* 1/2 (PI)) (* -1/2 (PI))))
(*.f64 f (PI.f64))
(* f (- (+ (* 1/2 (PI)) (* (pow f 2) (- (* 1/48 (pow (PI) 3)) (* -1/48 (pow (PI) 3))))) (* -1/2 (PI))))
(.f64 f (+.f64 (.f64 f (.f64 f (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))) (PI.f64)))
(* f (- (+ (* 1/2 (PI)) (* (pow f 2) (- (+ (* 1/48 (pow (PI) 3)) (* (pow f 2) (- (* 1/3840 (pow (PI) 5)) (* -1/3840 (pow (PI) 5))))) (* -1/48 (pow (PI) 3))))) (* -1/2 (PI))))
(.f64 f (+.f64 (.f64 (.f64 f f) (+.f64 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/1920 binary64))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))) (PI.f64)))
(* f (- (+ (* 1/2 (PI)) (* (pow f 2) (- (+ (* 1/48 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/3840 (pow (PI) 5)) (* (pow f 2) (- (* 1/645120 (pow (PI) 7)) (* -1/645120 (pow (PI) 7))))) (* -1/3840 (pow (PI) 5))))) (* -1/48 (pow (PI) 3))))) (* -1/2 (PI))))
(.f64 f (+.f64 (.f64 (.f64 f f) (+.f64 (.f64 f (.f64 f (+.f64 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/322560 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/1920 binary64))))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64)))) (PI.f64)))
(- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(- (exp (* 1/2 (* f (PI)))) (exp (* -1/2 (* f (PI)))))
(-.f64 (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal 1/2 binary64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/2 binary64)))))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))
(* -1/4 (* f (PI)))
(.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64)))

eval423.0ms (2%)

Compiler: Compiled 87183 to 10545 computations (87.9% saved)

prune321.0ms (1.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	2666	20	2686
Fresh	14	3	17
Picked	4	1	5
Done	0	0	0
Total	2684	24	2708

Accuracy

99.6%

Counts

2708 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.7%	(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal -1/4 binary64))
	96.6%	(/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))))
	96.6%	(/.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)))
	96.8%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.6%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	8.2%	(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (log1p.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	97.3%	(/.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 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	96.6%	(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	97.0%	(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (.f64 f (.f64 #s(literal 1/2 binary64) (.f64 (+.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))))) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.4%	(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 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 (cbrt.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))))))))))
	6.6%	(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (-.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) f) (PI.f64)))))))))
	96.9%	(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 f (+.f64 (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 256 binary64) (.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (+.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) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 f #s(literal 1/4 binary64)))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.9%	(/.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)))
	96.3%	(/.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)))
	96.7%	(/.f64 (log.f64 (.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (.f64 f (*.f64 (PI.f64) (PI.f64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.9%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 4 binary64)))
▶	98.6%	(/.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)))
✓	99.0%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
	96.4%	(-.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))))
▶	96.6%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
▶	96.5%	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) #s(literal -1 binary64)))
	96.8%	(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))))
	96.6%	(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)) (log.f64 #s(literal 1/2 binary64)))))

Compiler

Compiled 1220 to 775 computations (36.5% saved)

simplify202.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64)))
✓	cost-diff	128	(+.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)))))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (+.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))))) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))
✓	cost-diff	128	(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) #s(literal -1 binary64)))
✓	cost-diff	6464	(pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal -1 binary64))
✓	cost-diff	0	(log.f64 (*.f64 (PI.f64) f))
✓	cost-diff	0	(log.f64 #s(literal 4 binary64))
✓	cost-diff	0	(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f)))
✓	cost-diff	0	(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	0	(log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.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 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
✓	cost-diff	6656	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))

Rules

3158×	`-lowering-.f32`
3158×	`-lowering-.f64`
1978×	`fma-lowering-fma.f32`
1978×	`fma-lowering-fma.f64`
1900×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	55	400
1	135	349
2	375	327
3	1379	318
4	4602	317
0	8028	317

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize334.0ms (1.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f64 (+.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))))) (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64))))
✓	accuracy	98.4%	(/.f64 #s(literal 1/96 binary64) (PI.f64))
✓	accuracy	98.4%	(+.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	96.9%	(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	99.6%	(pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) #s(literal -1 binary64))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.5%	(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓	accuracy	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) #s(literal -1 binary64)))
✓	accuracy	100.0%	(log.f64 (*.f64 (PI.f64) f))
✓	accuracy	99.8%	(-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f)))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.4%	(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	100.0%	(log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.3%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.4%	(/.f64 (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)))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	98.4%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))

Results

224.0ms	251×	0	valid
10.0ms	5×	1	valid

Compiler

Compiled 433 to 56 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 44.0ms (38.4% of total)

ival-div: 25.0ms (21.8% of total)

ival-log: 22.0ms (19.2% of total)

ival-pow: 6.0ms (5.2% of total)

...c/correct-round.rkt:119:19: 5.0ms (4.4% of total)

ival-sub: 3.0ms (2.6% of total)

const: 2.0ms (1.7% of total)

ival-add: 2.0ms (1.7% of total)

ival-cbrt: 2.0ms (1.7% of total)

ival-tanh: 2.0ms (1.7% of total)

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

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

series269.0ms (1.3%)

Counts

26 → 180

Calls

Call 1

Inputs
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (/ (log (tanh (/ (PI) (/ 4 f)))) (/ (cbrt (* (PI) (* (PI) (PI)))) 4))>
#<alt (log (tanh (/ (PI) (/ 4 f))))>
#<alt (tanh (/ (PI) (/ 4 f)))>
#<alt (* (/ 4 (PI)) (log (/ (PI) (/ 4 f))))>
#<alt (/ 4 (PI))>
#<alt (PI)>
#<alt (log (/ (PI) (/ 4 f)))>
#<alt (/ (- (log 4) (log (* (PI) f))) (/ (PI) -4))>
#<alt (- (log 4) (log (* (PI) f)))>
#<alt (log 4)>
#<alt (log (* (PI) f))>
#<alt (pow (/ -1/4 (log (/ 4 (* (PI) f)))) -1)>
#<alt (* (/ 1 (PI)) (pow (/ -1/4 (log (/ 4 (* (PI) f)))) -1))>
#<alt (/ 1 (PI))>
#<alt (/ 2 (* (PI) 1/2))>
#<alt (* 1/2 (* (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))) (* (PI) (* f 1/2))))>
#<alt (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI)))))>
#<alt (* 1/16 (* (PI) 2))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (/ (PI) (/ 4 f))>
#<alt (* (PI) f)>
#<alt (/ 4 (* (PI) f))>
#<alt (log (/ 2 (* (PI) 1/2)))>
#<alt (/ 1/96 (PI))>
#<alt (* (+ (* 1/16 (* (PI) 2)) (* -2 (* (* (PI) (* (PI) 2)) (/ 1/96 (PI))))) (* (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))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))>
#<alt (* 1/4 (* f (PI)))>
#<alt (* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (* 4 (/ (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f)))) (PI)))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log f) (log (* 1/4 (PI))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* 1/4 (PI))) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1/4 (PI))) (* -1 (log (/ -1 f))))>
#<alt (* -4 (/ (- (log 4) (+ (log f) (log (PI)))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log f) (log (PI)))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log f) (log (PI)))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log f) (log (PI)))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log (PI)) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log (PI)) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log (PI)) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log (PI)) (* -1 (log (/ 1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (* -4 (/ (- (log 4) (+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))) (PI)))>
#<alt (- (log 4) (+ (log f) (log (PI))))>
#<alt (- (log 4) (+ (log f) (log (PI))))>
#<alt (- (log 4) (+ (log f) (log (PI))))>
#<alt (- (log 4) (+ (log f) (log (PI))))>
#<alt (- (log 4) (+ (log (PI)) (* -1 (log (/ 1 f)))))>
#<alt (- (log 4) (+ (log (PI)) (* -1 (log (/ 1 f)))))>
#<alt (- (log 4) (+ (log (PI)) (* -1 (log (/ 1 f)))))>
#<alt (- (log 4) (+ (log (PI)) (* -1 (log (/ 1 f)))))>
#<alt (- (log 4) (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (- (log 4) (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (- (log 4) (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (- (log 4) (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))))>
#<alt (+ (log f) (log (PI)))>
#<alt (+ (log f) (log (PI)))>
#<alt (+ (log f) (log (PI)))>
#<alt (+ (log f) (log (PI)))>
#<alt (+ (log (PI)) (* -1 (log (/ 1 f))))>
#<alt (+ (log (PI)) (* -1 (log (/ 1 f))))>
#<alt (+ (log (PI)) (* -1 (log (/ 1 f))))>
#<alt (+ (log (PI)) (* -1 (log (/ 1 f))))>
#<alt (+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))>
#<alt (+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (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 (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (* f (PI))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (/ 4 (* f (PI)))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>
#<alt (* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))>

Calls

45 calls:

Time	Variable		Point	Expression
154.0ms	f	@	-inf	(* (/ 4 (PI)) (log (/ (PI) (/ 4 f))))
51.0ms	f	@	0	(/ (- (log 4) (log (* (PI) f))) (/ (PI) -4))
24.0ms	f	@	-inf	(/ (- (log 4) (log (* (PI) f))) (/ (PI) -4))
15.0ms	f	@	0	(* (/ 4 (PI)) (log (/ (PI) (/ 4 f))))
10.0ms	f	@	inf	(* (/ 4 (PI)) (log (/ (PI) (/ 4 f))))

rewrite665.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3152×	`-lowering-.f32`
3152×	`-lowering-.f64`
2752×	`/-lowering-/.f32`
2752×	`/-lowering-/.f64`
1768×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	181
1	262	163
2	2010	163
0	8414	163

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1265

Calls

Call 1

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

Outputs
(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 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1 binary64))))
(fabs.f64 (PI.f64))
(-.f64 #s(literal 0 binary64) (/.f64 (PI.f64) #s(literal -1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64)) #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 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 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 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(*.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)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 1 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)) (log.f64 (exp.f64 (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 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
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(.f64 (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64))) (PI.f64))) (*.f64 (PI.f64) f)) #s(literal 1/2 binary64))
(.f64 (.f64 (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64))) (PI.f64))) (*.f64 f #s(literal 1/2 binary64))) (PI.f64))
(.f64 (.f64 (.f64 (PI.f64) (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64))) (PI.f64)))) f) #s(literal 1/2 binary64))
(.f64 (.f64 (.f64 (PI.f64) (+.f64 (.f64 (PI.f64) #s(literal 1/8 binary64)) (/.f64 (.f64 #s(literal -2 binary64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/48 binary64))) (PI.f64)))) #s(literal 1/2 binary64)) f)

simplify289.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

4286×	`+-lowering-+.f64`
4286×	`+-lowering-+.f32`
3618×	`-lowering-.f32`
3618×	`-lowering-.f64`
1312×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	2684
1	675	2385
2	2737	2244
0	8699	2244

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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)))
(+ (log f) (log (* 1/4 (PI))))
(+ (log f) (+ (log (* 1/4 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))
(+ (log f) (+ (log (* 1/4 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI))))))))
(* 1/4 (* f (PI)))
(* f (+ (* 1/4 (PI)) (* 1/2 (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))))))))
(* f (+ (* 1/4 (PI)) (* f (+ (* 1/2 (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (* f (- (+ (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* f (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))))) (* 1/128 (pow (PI) 3))))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))
(* 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)))
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(/ 4 (* f (PI)))
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Outputs
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(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(+ (log f) (log (PI)))
(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(+ (log f) (log (PI)))
(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(+ (log (PI)) (* -1 (log (/ 1 f))))
(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(+ (log (PI)) (* -1 (log (/ 1 f))))
(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(+ (log (PI)) (* -1 (log (/ 1 f))))
(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(+ (log (PI)) (* -1 (log (/ 1 f))))
(+.f64 (log.f64 f) (log.f64 (PI.f64)))
(+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(+ (log (* -1 (PI))) (* -1 (log (/ -1 f))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))
(* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))
(*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))
(*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))
(*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* -4 (+ (log (/ 4 (PI))) (* -1 (log f))))
(*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* -4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(*.f64 #s(literal -4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))))
(* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))))
(* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))))
(* -4 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ 1 f)) (log (/ 4 (PI)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 1/4 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64))))
(* 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 (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(* f (PI))
(*.f64 f (PI.f64))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(/ 4 (* f (PI)))
(/.f64 #s(literal 4 binary64) (*.f64 f (PI.f64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))
(* 1/2 (* f (* (PI) (+ (* -1/24 (PI)) (* 1/8 (PI))))))
(.f64 f (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))

eval402.0ms (1.9%)

Compiler: Compiled 71124 to 9507 computations (86.6% saved)

prune275.0ms (1.3%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	2607	10	2617
Fresh	9	9	18
Picked	2	3	5
Done	0	1	1
Total	2618	23	2641

Accuracy

99.6%

Counts

2641 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.7%	(/.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64)) (PI.f64))
	96.5%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
▶	96.6%	(/.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)))
	8.2%	(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (log1p.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	97.3%	(/.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 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	96.6%	(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	97.0%	(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (.f64 f (.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.4%	(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 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 (cbrt.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))))))))))
	6.6%	(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (-.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) f) (PI.f64)))))))))
▶	96.9%	(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 f (+.f64 (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 256 binary64) (.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (+.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) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 f #s(literal 1/4 binary64)))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.9%	(/.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)))
	96.3%	(/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
	96.9%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 4 binary64)))
▶	97.6%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)))) #s(literal 4 binary64)))
✓	98.6%	(/.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)))
✓	99.0%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
	96.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
	96.7%	(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) (PI.f64)) (/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal -1/4 binary64)) (PI.f64)))
	96.6%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) f))))
	96.8%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 f)))
✓	96.6%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
▶	96.5%	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))))

Compiler

Compiled 1090 to 679 computations (37.7% saved)

simplify301.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	512	(+.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)))
✓	cost-diff	512	(/.f64 (*.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))
✓	cost-diff	512	(/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (*.f64 (PI.f64) (PI.f64)))
✓	cost-diff	6080	(pow.f64 (PI.f64) #s(literal 4 binary64))
✓	cost-diff	0	(/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)
✓	cost-diff	0	(log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f))
✓	cost-diff	0	(-.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)) (log.f64 #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.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)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓	cost-diff	128	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))))
✓	cost-diff	0	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	cost-diff	0	(log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	cost-diff	0	(/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64)) (PI.f64))
✓	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 (cbrt.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)))) #s(literal 4 binary64)))
✓	cost-diff	6656	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	cost-diff	6656	(cbrt.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64))))

Rules

4886×	`-lowering-.f32`
4886×	`-lowering-.f64`
1966×	`fma-lowering-fma.f32`
1966×	`fma-lowering-fma.f64`
1938×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	830
1	216	651
2	695	554
3	2647	495
4	7315	495
0	8097	495

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (log (tanh (/ (PI) (/ 4 f)))) (/ (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) 4))
(log (tanh (/ (PI) (/ 4 f))))
(tanh (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(PI)
(/ 4 f)
4
f
(/ (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) 4)
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(/ (/ (log (/ (PI) (/ 4 f))) 1/4) (PI))
(/ (log (/ (PI) (/ 4 f))) 1/4)
(log (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(PI)
(/ 4 f)
4
f
1/4
(* (/ 1 (PI)) (/ 1 (/ -1/4 (log (/ 4 (* (PI) f))))))
(/ 1 (PI))
1
(PI)
(/ 1 (/ -1/4 (log (/ 4 (* (PI) f)))))
(/ -1/4 (log (/ 4 (* (PI) f))))
-1/4
(log (/ 4 (* (PI) f)))
(/ 4 (* (PI) f))
4
(* (PI) f)
f
(/ (- (log (/ (/ 2 (PI)) f)) (log 1/2)) (/ (PI) -4))
(- (log (/ (/ 2 (PI)) f)) (log 1/2))
(log (/ (/ 2 (PI)) f))
(/ (/ 2 (PI)) f)
(/ 2 (PI))
2
(PI)
f
(log 1/2)
1/2
(/ (PI) -4)
-4
(/ (log (/ (+ (/ (* 4 (PI)) (* (PI) (PI))) (* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))))) f)) (/ (PI) -4))
(log (/ (+ (/ (* 4 (PI)) (* (PI) (PI))) (* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))))) f))
(/ (+ (/ (* 4 (PI)) (* (PI) (PI))) (* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))))) f)
(+ (/ (* 4 (PI)) (* (PI) (PI))) (* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4)))))
(/ (* 4 (PI)) (* (PI) (PI)))
(* 4 (PI))
4
(PI)
(* (PI) (PI))
(* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))))
f
(+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4)))
(* (PI) (/ 0 (* (PI) (* (PI) (PI)))))
(/ 0 (* (PI) (* (PI) (PI))))
0
(* (PI) (* (PI) (PI)))
(* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))
(- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4)))))
(- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4)))
(/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI)))
(* 16 (* (* (PI) (* (PI) (PI))) 1/24))
16
(* (* (PI) (* (PI) (PI))) 1/24)
1/24
(/ (* (PI) 0) (pow (PI) 4))
(* (PI) 0)
(pow (PI) 4)
(* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))
256
(* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4)))
(+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384))))
(* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))
(* 1/4 (PI))
1/4
(+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384))
(* (PI) (* (* (* (PI) (PI)) -1/32) -1/4))
(* (* (* (PI) (PI)) -1/32) -1/4)
(* (* (PI) (PI)) -1/32)
-1/32
-1/4
(* (* (PI) (* (PI) (PI))) -1/384)
-1/384
(/ (PI) (pow (PI) 4))
(* f 1/4)
(/ (PI) -4)
-4

Outputs
(/ (log (tanh (/ (PI) (/ 4 f)))) (/ (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (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
(/ (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) 4)
(/.f64 (PI.f64) #s(literal 4 binary64))
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(PI.f64)
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(* (cbrt (* (PI) (* (PI) (PI)))) (PI))
(*.f64 (PI.f64) (PI.f64))
(cbrt (* (PI) (* (PI) (PI))))
(PI.f64)
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(/ (/ (log (/ (PI) (/ 4 f))) 1/4) (PI))
(/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) (*.f64 (PI.f64) #s(literal 1/4 binary64)))
(/ (log (/ (PI) (/ 4 f))) 1/4)
(/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64))
(log (/ (PI) (/ 4 f)))
(log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/ (PI) (/ 4 f))
(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
(PI)
(PI.f64)
(/ 4 f)
(/.f64 #s(literal 4 binary64) f)
4
#s(literal 4 binary64)
f
1/4
#s(literal 1/4 binary64)
(* (/ 1 (PI)) (/ 1 (/ -1/4 (log (/ 4 (* (PI) f))))))
(/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) (.f64 (PI.f64) #s(literal -1/4 binary64)))
(/ 1 (PI))
(/.f64 #s(literal 1 binary64) (PI.f64))
1
#s(literal 1 binary64)
(PI)
(PI.f64)
(/ 1 (/ -1/4 (log (/ 4 (* (PI) f)))))
(.f64 (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))) #s(literal -4 binary64))
(/ -1/4 (log (/ 4 (* (PI) f))))
(/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
-1/4
#s(literal -1/4 binary64)
(log (/ 4 (* (PI) f)))
(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
(/ 4 (* (PI) f))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
4
#s(literal 4 binary64)
(* (PI) f)
(*.f64 (PI.f64) f)
f
(/ (- (log (/ (/ 2 (PI)) f)) (log 1/2)) (/ (PI) -4))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))) (log.f64 #s(literal 1/2 binary64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(- (log (/ (/ 2 (PI)) f)) (log 1/2))
(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))) (log.f64 #s(literal 1/2 binary64)))
(log (/ (/ 2 (PI)) f))
(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f)))
(/ (/ 2 (PI)) f)
(/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) f))
(/ 2 (PI))
(/.f64 #s(literal 2 binary64) (PI.f64))
2
#s(literal 2 binary64)
(PI)
(PI.f64)
f
(log 1/2)
(log.f64 #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(/ (log (/ (+ (/ (* 4 (PI)) (* (PI) (PI))) (* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))))) f)) (/ (PI) -4))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (.f64 f (.f64 f #s(literal 1/4 binary64))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(log (/ (+ (/ (* 4 (PI)) (* (PI) (PI))) (* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))))) f))
(log.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (.f64 f (.f64 f #s(literal 1/4 binary64))))) f))
(/ (+ (/ (* 4 (PI)) (* (PI) (PI))) (* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))))) f)
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (.f64 f (.f64 f #s(literal 1/4 binary64))))) f)
(+ (/ (* 4 (PI)) (* (PI) (PI))) (* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4)))))
(+.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (.f64 (PI.f64) (-.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (.f64 f (.f64 f #s(literal 1/4 binary64)))))
(/ (* 4 (PI)) (* (PI) (PI)))
(/.f64 #s(literal 4 binary64) (PI.f64))
(* 4 (PI))
(*.f64 (PI.f64) #s(literal 4 binary64))
4
#s(literal 4 binary64)
(PI)
(PI.f64)
(* (PI) (PI))
(*.f64 (PI.f64) (PI.f64))
(* f (+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))))
(.f64 (.f64 (PI.f64) (-.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64))))) (.f64 f (.f64 f #s(literal 1/4 binary64))))
f
(+ (* (PI) (/ 0 (* (PI) (* (PI) (PI))))) (* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4)))
(.f64 f (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (-.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))))
(* (PI) (/ 0 (* (PI) (* (PI) (PI)))))
#s(literal 0 binary64)
(/ 0 (* (PI) (* (PI) (PI))))
#s(literal 0 binary64)
0
#s(literal 0 binary64)
(* (PI) (* (PI) (PI)))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(* (- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))) (* f 1/4))
(.f64 f (.f64 #s(literal 1/4 binary64) (.f64 (PI.f64) (-.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))))
(- (- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4))) (* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4)))))
(.f64 (PI.f64) (-.f64 #s(literal 2/3 binary64) (/.f64 (.f64 (PI.f64) (.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))))
(- (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI))) (/ (* (PI) 0) (pow (PI) 4)))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI)))
(*.f64 (PI.f64) #s(literal 2/3 binary64))
(* 16 (* (* (PI) (* (PI) (PI))) 1/24))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2/3 binary64))))
16
#s(literal 16 binary64)
(* (* (PI) (* (PI) (PI))) 1/24)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))
1/24
#s(literal 1/24 binary64)
(/ (* (PI) 0) (pow (PI) 4))
#s(literal 0 binary64)
(* (PI) 0)
#s(literal 0 binary64)
(pow (PI) 4)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))
(* 256 (* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4))))
(.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64))) (/.f64 #s(literal 256 binary64) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))
256
#s(literal 256 binary64)
(* (+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))) (/ (PI) (pow (PI) 4)))
(/.f64 (.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (PI.f64)))
(+ 0 (* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384))))
(.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))
(* (* 1/4 (PI)) (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384)))
(.f64 (PI.f64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/768 binary64)))
(* 1/4 (PI))
(*.f64 (PI.f64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/192 binary64))
(* (PI) (* (* (* (PI) (PI)) -1/32) -1/4))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/128 binary64))
(* (* (* (PI) (PI)) -1/32) -1/4)
(.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))
(* (* (PI) (PI)) -1/32)
(.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/32 binary64)))
-1/32
#s(literal -1/32 binary64)
-1/4
#s(literal -1/4 binary64)
(* (* (PI) (* (PI) (PI))) -1/384)
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/384 binary64))
-1/384
#s(literal -1/384 binary64)
(/ (PI) (pow (PI) 4))
(/.f64 (PI.f64) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)))
(* f 1/4)
(*.f64 f #s(literal 1/4 binary64))
(/ (PI) -4)
(/.f64 (PI.f64) #s(literal -4 binary64))
-4
#s(literal -4 binary64)

localize537.0ms (2.6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/384 binary64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) #s(literal -1/4 binary64)))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	97.5%	(pow.f64 (PI.f64) #s(literal 4 binary64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(-.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)) (log.f64 #s(literal 1/2 binary64)))
✓	accuracy	99.4%	(/.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)))
✓	accuracy	99.4%	(/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.5%	(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓	accuracy	99.3%	(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))))
✓	accuracy	100.0%	(log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.5%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.4%	(/.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64)) (PI.f64))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)))
✓	accuracy	98.4%	(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
✓	accuracy	98.4%	(cbrt.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64))))
✓	accuracy	98.4%	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))

Results

338.0ms	251×	0	valid
12.0ms	5×	1	valid

Compiler

Compiled 1077 to 76 computations (92.9% saved)

Precisions

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

ival-div: 49.0ms (30.4% of total)

ival-mult: 35.0ms (21.7% of total)

...c/correct-round.rkt:119:19: 28.0ms (17.4% of total)

ival-log: 28.0ms (17.4% of total)

ival-add: 5.0ms (3.1% of total)

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

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

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

const: 2.0ms (1.2% of total)

ival-tanh: 2.0ms (1.2% of total)

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

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

series65.0ms (0.3%)

Counts

26 → 168

Calls

Call 1

Inputs
#<alt (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))>
#<alt (cbrt (* (PI) (* (PI) (PI))))>
#<alt (/ (log (tanh (/ (PI) (/ 4 f)))) (/ (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) 4))>
#<alt (log (tanh (/ (PI) (/ 4 f))))>
#<alt (/ (/ (log (/ (PI) (/ 4 f))) 1/4) (PI))>
#<alt (/ (log (/ (PI) (/ 4 f))) 1/4)>
#<alt (log (/ (PI) (/ 4 f)))>
#<alt (/ (PI) (/ 4 f))>
#<alt (* (/ 1 (PI)) (/ 1 (/ -1/4 (log (/ 4 (* (PI) f))))))>
#<alt (/ 1 (/ -1/4 (log (/ 4 (* (PI) f)))))>
#<alt (/ 1 (PI))>
#<alt (PI)>
#<alt (/ (- (log (/ (/ 2 (PI)) f)) (log 1/2)) (/ (PI) -4))>
#<alt (- (log (/ (/ 2 (PI)) f)) (log 1/2))>
#<alt (log (/ (/ 2 (PI)) f))>
#<alt (/ (/ 2 (PI)) f)>
#<alt (pow (PI) 4)>
#<alt (/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI)))>
#<alt (/ (* (PI) 0) (pow (PI) 4))>
#<alt (+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384))>
#<alt (* (PI) (* (PI) (PI)))>
#<alt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))>
#<alt (/ 4 (* (PI) f))>
#<alt (* (PI) f)>
#<alt (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4))>
#<alt (* (* (PI) (* (PI) (PI))) -1/384)>

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

Calls

42 calls:

Time	Variable		Point	Expression
30.0ms	f	@	0	(/ (- (log (/ (/ 2 (PI)) f)) (log 1/2)) (/ (PI) -4))
20.0ms	f	@	-inf	(/ (- (log (/ (/ 2 (PI)) f)) (log 1/2)) (/ (PI) -4))
10.0ms	f	@	inf	(/ (- (log (/ (/ 2 (PI)) f)) (log 1/2)) (/ (PI) -4))
0.0ms	f	@	-inf	(/ (log (/ (PI) (/ 4 f))) 1/4)
0.0ms	f	@	inf	(/ (log (/ (PI) (/ 4 f))) 1/4)

rewrite477.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2928×	`-lowering-.f32`
2928×	`-lowering-.f64`
2386×	`/-lowering-/.f32`
2386×	`/-lowering-/.f64`
1858×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	155
1	312	147
2	2348	144
0	8462	144

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 1135

Calls

Call 1

Inputs
(cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI))))
(cbrt (* (PI) (* (PI) (PI))))
(/ (log (tanh (/ (PI) (/ 4 f)))) (/ (cbrt (* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))) 4))
(log (tanh (/ (PI) (/ 4 f))))
(/ (/ (log (/ (PI) (/ 4 f))) 1/4) (PI))
(/ (log (/ (PI) (/ 4 f))) 1/4)
(log (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(* (/ 1 (PI)) (/ 1 (/ -1/4 (log (/ 4 (* (PI) f))))))
(/ 1 (/ -1/4 (log (/ 4 (* (PI) f)))))
(/ 1 (PI))
(PI)
(/ (- (log (/ (/ 2 (PI)) f)) (log 1/2)) (/ (PI) -4))
(- (log (/ (/ 2 (PI)) f)) (log 1/2))
(log (/ (/ 2 (PI)) f))
(/ (/ 2 (PI)) f)
(pow (PI) 4)
(/ (* 16 (* (* (PI) (* (PI) (PI))) 1/24)) (* (PI) (PI)))
(/ (* (PI) 0) (pow (PI) 4))
(+ (* (PI) (* (* (* (PI) (PI)) -1/32) -1/4)) (* (* (PI) (* (PI) (PI))) -1/384))
(* (PI) (* (PI) (PI)))
(* (PI) (* (cbrt (* (PI) (* (PI) (PI)))) (PI)))
(/ 4 (* (PI) f))
(* (PI) f)
(* (PI) (* (* (* (PI) (PI)) -1/32) -1/4))
(* (* (PI) (* (PI) (PI))) -1/384)

Outputs
(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 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (log.f64 (.f64 (PI.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 (PI.f64) #s(literal 1 binary64))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (*.f64 (PI.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))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 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 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(*.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)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 1 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)) (log.f64 (exp.f64 (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 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (PI.f64))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 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 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 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 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 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 1/6 binary64)) #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (exp.f64 (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))) (exp.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))))
(.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 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64))) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #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 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(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 (.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 2 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (-.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) (log.f64 (.f64 (PI.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 (PI.f64) #s(literal 1 binary64))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (*.f64 (PI.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))))
(/.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (-.f64 #s(literal 0 binary64) (*.f64 (PI.f64) (PI.f64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) #s(literal 1 binary64))
(log1p.f64 (expm1.f64 (PI.f64)))
(pow.f64 (PI.f64) #s(literal 1 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 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/6 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(*.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)) (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 1 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)) (log.f64 (exp.f64 (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 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (sqrt.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
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(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (PI.f64)) (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 2 binary64)) (log.f64 (PI.f64))))
(cbrt.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))))
(/.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -1 binary64))
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 9 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 6 binary64))
(pow.f64 (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))
(*.f64 (PI.f64) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1 binary64)) #s(literal 3 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (PI.f64) #s(literal 7/3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 5/2 binary64)))
(*.f64 (sqrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 7/3 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 5/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -4 binary64) (*.f64 (PI.f64) f)))
(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
(/.f64 #s(literal 4 binary64) (neg.f64 (*.f64 f (-.f64 #s(literal 0 binary64) (PI.f64)))))
(/.f64 (/.f64 #s(literal 4 binary64) f) (PI.f64))
(/.f64 (/.f64 #s(literal 4 binary64) f) (neg.f64 (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))))
(/.f64 #s(literal -4 binary64) (*.f64 f (-.f64 #s(literal 0 binary64) (PI.f64))))
(/.f64 #s(literal -4 binary64) (neg.f64 (neg.f64 (*.f64 f (-.f64 #s(literal 0 binary64) (PI.f64))))))
(/.f64 #s(literal -1 binary64) (/.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) f)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64)))))
(/.f64 (/.f64 #s(literal -4 binary64) f) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 #s(literal 0 binary64) f))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) #s(literal 1 binary64)) (PI.f64))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(/.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))) (neg.f64 (-.f64 #s(literal 0 binary64) f)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (PI.f64)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (cbrt.f64 (PI.f64)))) (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (neg.f64 (cbrt.f64 (PI.f64))))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal 4 binary64) f) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)) #s(literal 1 binary64))
(pow.f64 (/.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 f (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal -1 binary64))
(.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) f)))
(*.f64 #s(literal 4 binary64) (pow.f64 (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) f)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) f) (/.f64 #s(literal 1 binary64) (PI.f64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) f))
(.f64 #s(literal -4 binary64) (/.f64 #s(literal 1 binary64) (.f64 f (-.f64 #s(literal 0 binary64) (PI.f64)))))
(*.f64 (/.f64 #s(literal -4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) f)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (PI.f64) f)) #s(literal 4 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) f))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (PI.f64)) (/.f64 f #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 4 binary64) f)) #s(literal -1 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 f #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 #s(literal 4 binary64) f)) #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)) (/.f64 f #s(literal 4 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)) (/.f64 #s(literal 4 binary64) f)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) (cbrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal 4 binary64) (cbrt.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (/.f64 #s(literal 4 binary64) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) f) (sqrt.f64 (PI.f64))))
(*.f64 (/.f64 #s(literal -1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (/.f64 #s(literal 1 binary64) f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 (PI.f64)) (/.f64 #s(literal 1 binary64) f)) #s(literal -1 binary64)))
(*.f64 (PI.f64) f)
(*.f64 f (PI.f64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) f))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) f))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) f))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) f))
(.f64 (.f64 f #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 f (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 f (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 f (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (PI.f64) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64)))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 #s(literal 1/128 binary64) (PI.f64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/128 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))))
(.f64 #s(literal -1/4 binary64) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))))
(.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(.f64 (.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64)) (PI.f64))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64))))
(.f64 (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal -1/32 binary64))) #s(literal -1/4 binary64))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64)) #s(literal 1 binary64)) (PI.f64))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64)) (cbrt.f64 (PI.f64))) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/128 binary64)) (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(.f64 (PI.f64) (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/384 binary64))))
(.f64 (.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) #s(literal -1/384 binary64)))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal -1/384 binary64))
(.f64 #s(literal 1 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/384 binary64)))))
(.f64 #s(literal -1/384 binary64) (.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/384 binary64)))))
(.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (.f64 (cbrt.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/384 binary64)))))
(.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) (.f64 (PI.f64) (.f64 (PI.f64) #s(literal -1/384 binary64)))))
(.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/384 binary64))) (PI.f64))
(.f64 (.f64 #s(literal -1/384 binary64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))

simplify257.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2482×	`-lowering-.f32`
2482×	`-lowering-.f64`
2124×	`+-lowering-+.f64`
2124×	`+-lowering-+.f32`
926×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	2327
1	592	2093
2	2258	1971
3	7785	1971
0	8013	1971

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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

eval1.1s (5.2%)

Compiler: Compiled 217742 to 27320 computations (87.5% saved)

prune1.1s (5.3%)

Pruning

23 alts after pruning (16 fresh and 7 done)

	Pruned	Kept	Total
New	3916	4	3920
Fresh	2	12	14
Picked	2	3	5
Done	0	4	4
Total	3920	23	3943

Accuracy

99.6%

Counts

3943 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.3%	(/.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64)) (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
✓	96.7%	(/.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64)) (PI.f64))
	96.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64))
	96.5%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
✓	96.6%	(/.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)))
	8.2%	(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (log1p.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	97.3%	(/.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 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	96.6%	(/.f64 (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	97.0%	(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (.f64 f (.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.4%	(/.f64 (.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 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 (cbrt.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))))))))))
	6.6%	(/.f64 (.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64))) (/.f64 #s(literal -4 binary64) (PI.f64))) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (-.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) f) (PI.f64)))))))))
	96.9%	(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 f (+.f64 (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 256 binary64) (.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (+.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) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 f #s(literal 1/4 binary64)))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.9%	(/.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)))
	96.9%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #s(literal 4 binary64)))
✓	97.6%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)))) #s(literal 4 binary64)))
✓	98.6%	(/.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)))
✓	99.0%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	96.6%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
	96.5%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
	96.7%	(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) (PI.f64)) (/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal -1/4 binary64)) (PI.f64)))
	96.6%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (PI.f64)) (log.f64 (/.f64 #s(literal 4 binary64) f))))
	96.8%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 f)))
✓	96.6%	(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))

Compiler

Compiled 2040 to 686 computations (66.4% saved)

regimes95.0ms (0.5%)

Counts

58 → 1

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64)) #s(literal -1/4 binary64))
(/.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.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 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (PI.f64))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f))))))
(/.f64 (log.f64 (.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (.f64 f (*.f64 (PI.f64) (PI.f64)))))) (/.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 #s(literal 2 binary64) (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))))))
(/.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)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (+.f64 (log.f64 (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 f)))
(*.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (PI.f64)) (log.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 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 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 (-.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)))
(neg.f64 (.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))))
(.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) (PI.f64)) (/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal -1/4 binary64)) (PI.f64)))
(/.f64 (log.f64 (.f64 #s(literal 1/4 binary64) (.f64 f (PI.f64)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 1/4 binary64)) (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (-.f64 (log.f64 (/.f64 (/.f64 #s(literal 2 binary64) (PI.f64)) f)) (log.f64 #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (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 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (.f64 f (.f64 #s(literal 1/4 binary64) (.f64 f (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/12 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))) (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (/.f64 (PI.f64) #s(literal 4 binary64))))
(/.f64 (+.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (.f64 f (.f64 #s(literal 1/2 binary64) (.f64 (+.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))))) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 f (+.f64 (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (.f64 (PI.f64) (PI.f64))) #s(literal 0 binary64)) (.f64 #s(literal 256 binary64) (.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (+.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) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (.f64 f #s(literal 1/4 binary64)))))) f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal -1 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 (+.f64 (/.f64 (.f64 #s(literal 4 binary64) (PI.f64)) (.f64 (PI.f64) (PI.f64))) (.f64 f (+.f64 (.f64 (PI.f64) (/.f64 #s(literal 0 binary64) (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))) (.f64 (-.f64 (-.f64 (/.f64 (.f64 #s(literal 16 binary64) (.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))) #s(literal 1/24 binary64))) (.f64 (PI.f64) (PI.f64))) (/.f64 (.f64 (PI.f64) #s(literal 0 binary64)) (pow.f64 (PI.f64) #s(literal 4 binary64)))) (.f64 #s(literal 256 binary64) (.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) (+.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) (pow.f64 (PI.f64) #s(literal 4 binary64)))))) (*.f64 f #s(literal 1/4 binary64)))))) f)) (/.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 (/.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 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.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))))) (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))))) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (log1p.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(neg.f64 (.f64 (/.f64 #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 (log.f64 (/.f64 (.f64 (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) #s(literal 2 binary64)) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (*.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal -4 binary64))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)) #s(literal 2 binary64))) (exp.f64 (.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)) #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 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (*.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))) #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 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)))))))
(/.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 #s(literal -4 binary64) (PI.f64))) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (-.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -4 binary64) f) (PI.f64)))))))))
(/.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 1 binary64) (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 #s(literal -1/4 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 (.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 (/.f64 #s(literal -4 binary64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 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 (cbrt.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))))))))))

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:

17.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
17.0ms	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
16.0ms	f
14.0ms	(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))))))
14.0ms	(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))

Results

Accuracy	Segments	Branch
99.0%	1	`f`
99.0%	1	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
99.0%	1	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
99.0%	1	`(log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))`
99.0%	1	`(/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))`
99.0%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes6.0ms (0%)

Counts

15 → 1

Calls

Call 1

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

Outputs

(/.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)))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.9%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
96.7%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
96.7%	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 (/.f64 #s(literal 4 binary64) (PI.f64)) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.6%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`*-commutative_binary64`
4×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	79
1	60	79

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

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

soundness2.6s (12.4%)

Rules

4840×	`-lowering-.f32`
4840×	`-lowering-.f64`
4772×	`-lowering-.f32`
4772×	`-lowering-.f64`
4664×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	239
1	289	189
2	2299	187
0	8925	187
0	29	220
1	191	95
2	1507	91
0	8494	91
0	472	6071
1	1603	5030
2	7289	4988
0	8112	4988
0	227	3377
1	749	2925
2	3279	2811
0	9030	2811
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	5302	32
13	5565	32
14	6103	32
15	7506	32
0	8032	32

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

Compiler

Compiled 104 to 66 computations (36.5% saved)

preprocess50.0ms (0.2%)

Compiler: Compiled 236 to 124 computations (47.5% saved)

analyze304.0ms (1.5%)

sample6.2s (29.7%)

preprocess292.0ms (1.4%)

explain411.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify158.0ms (0.8%)

localize301.0ms (1.4%)

series187.0ms (0.9%)

rewrite518.0ms (2.5%)

simplify229.0ms (1.1%)

eval232.0ms (1.1%)

prune161.0ms (0.8%)

simplify245.0ms (1.2%)

localize656.0ms (3.1%)

series416.0ms (2%)

rewrite474.0ms (2.3%)

simplify309.0ms (1.5%)

eval423.0ms (2%)

prune321.0ms (1.5%)

simplify202.0ms (1%)

localize334.0ms (1.6%)

series269.0ms (1.3%)

rewrite665.0ms (3.2%)

simplify289.0ms (1.4%)

eval402.0ms (1.9%)

prune275.0ms (1.3%)

simplify301.0ms (1.4%)

localize537.0ms (2.6%)

series65.0ms (0.3%)

rewrite477.0ms (2.3%)

simplify257.0ms (1.2%)

eval1.1s (5.2%)

prune1.1s (5.3%)

regimes95.0ms (0.5%)

regimes6.0ms (0%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes1.0ms (0%)

simplify12.0ms (0.1%)

soundness2.6s (12.4%)

preprocess50.0ms (0.2%)

end0.0ms (0%)

Profiling