Metrics for VandenBroeck and Keller, Equation (20)

analyze306.0ms (1.6%)

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: 186.0ms

ival-div: 38.0ms (20.4% of total)

ival-exp: 36.0ms (19.4% of total)

ival-mult: 34.0ms (18.3% of total)

ival-neg: 22.0ms (11.8% of total)

ival-add: 18.0ms (9.7% of total)

ival-log: 14.0ms (7.5% of total)

ival-sub: 11.0ms (5.9% of total)

ival-pi: 10.0ms (5.4% of total)

const: 3.0ms (1.6% of total)

backward-pass: 1.0ms (0.5% of total)

sample5.9s (31.9%)

Results

2.4s	7609×	1	valid
2.2s	7162×	1	invalid
397.0ms	186×	2	valid
54.0ms	461×	0	valid
1.0ms	6×	0	unsamplable
0.0ms	2×	0	invalid

Precisions

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

ival-exp: 1.1s (27.2% of total)

ival-div: 650.0ms (15.6% of total)

ival-mult: 521.0ms (12.5% of total)

ival-pi: 448.0ms (10.7% of total)

ival-neg: 350.0ms (8.4% of total)

ival-log: 340.0ms (8.1% of total)

backward-pass: 324.0ms (7.8% of total)

ival-add: 196.0ms (4.7% of total)

ival-sub: 162.0ms (3.9% of total)

const: 47.0ms (1.1% of total)

Bogosity

preprocess280.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Call 2

Inputs

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

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

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

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

explain327.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
250	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))))))`
0	0	-	-	`(PI.f64)`
0	0	-	-	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`
0	0	-	-	`(neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	0	-	-	`(/.f64 (PI.f64) #s(literal 4 binary64))`
0	0	-	-	`(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))`
0	0	-	-	`f`
0	0	-	-	`(+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))`
0	0	-	-	`#s(literal 4 binary64)`
0	0	-	-	`(/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64)))`
0	0	-	-	`(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(exp.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))`
0	1	(921.1285186226371)	-	`(exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))`

Results

210.0ms	464×	1	valid
9.0ms	40×	0	valid
8.0ms	8×	2	valid

Compiler

Compiled 434 to 50 computations (88.5% saved)

Precisions

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

ival-add: 42.0ms (25.2% of total)

ival-exp: 34.0ms (20.4% of total)

ival-div: 22.0ms (13.2% of total)

ival-mult: 18.0ms (10.8% of total)

backward-pass: 15.0ms (9% of total)

ival-log: 13.0ms (7.8% of total)

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

ival-pi: 7.0ms (4.2% of total)

ival-sub: 5.0ms (3% 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
▶	8.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
▶	8.5%	(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

▶

8.5%

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

▶

8.5%

(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)

simplify138.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize271.0ms (1.5%)

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 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))))
✓	accuracy	99.5%	(/.f64 (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	98.0%	(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))) (-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64)))))
✓	accuracy	11.6%	(-.f64 (exp.f64 (.f64 (PI.f64) (/.f64 f #s(literal 4 binary64)))) (exp.f64 (/.f64 (.f64 (PI.f64) f) #s(literal -4 binary64))))
✓	accuracy	99.5%	(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	99.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))))))
✓	accuracy	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	11.6%	(-.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

206.0ms	238×	1	valid
9.0ms	4×	2	valid
4.0ms	14×	0	valid

Compiler

Compiled 346 to 30 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-exp: 50.0ms (34% of total)

ival-div: 25.0ms (17% of total)

ival-mult: 19.0ms (12.9% of total)

ival-add: 15.0ms (10.2% of total)

backward-pass: 13.0ms (8.8% of total)

ival-log: 13.0ms (8.8% of total)

ival-sub: 5.0ms (3.4% of total)

ival-neg: 4.0ms (2.7% of total)

ival-pi: 2.0ms (1.4% of total)

const: 1.0ms (0.7% of total)

series209.0ms (1.1%)

Counts

11 → 120

Calls

Call 1

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

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

Calls

30 calls:

Time	Variable		Point	Expression
62.0ms	f	@	-inf	(/ (log (/ (+ (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))) (- (exp (* (PI) (/ f 4))) (exp (/ (* (PI) f) -4))))) (/ (PI) -4))
49.0ms	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))))))))
45.0ms	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))
14.0ms	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))))))))

rewrite443.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 893

Calls

Call 1

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

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

simplify228.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(* -4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI)))
(- (* -2 (/ (* f (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* -2 (/ (* f (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (PI))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(- (* f (- (* f (- (* -2/3 (/ (* f (+ (* -3/2 (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (+ (* 1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 3) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 3))) (* 3 (* (- (* 1/4 (PI)) (* -1/4 (PI))) (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI)))))))))) (PI))) (* 2 (/ (+ (* -1/4 (* (pow (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) 2) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2))) (* (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))) (- (* 1/4 (PI)) (* -1/4 (PI))))) (PI))))) (* 2 (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/4 (PI)) (* -1/4 (PI)))) (PI))))) (* 4 (/ (+ (log (/ 2 (- (* 1/4 (PI)) (* -1/4 (PI))))) (* -1 (log f))) (PI))))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
(* -4 (/ (log (/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))) (PI)))
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(/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))) #s(literal 0 binary64)) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)
(/ (+ (* f (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (+ (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* 1/16 (/ (pow (PI) 2) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* f (- (+ (* -1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/384 (/ (pow (PI) 3) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (/ (* (+ (* -1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI))))) (* 1/4 (/ (PI) (- (* 1/4 (PI)) (* -1/4 (PI)))))) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3)))) (- (* 1/4 (PI)) (* -1/4 (PI))))))) (* 2 (/ (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))) (pow (- (* 1/4 (PI)) (* -1/4 (PI))) 2)))))))) (* 2 (/ 1 (- (* 1/4 (PI)) (* -1/4 (PI)))))) f)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 f (.f64 f (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (PI.f64) #s(literal 2 binary64))) (.f64 #s(literal -2 binary64) (.f64 (.f64 (PI.f64) (*.f64 (PI.f64) #s(literal 2 binary64))) (/.f64 #s(literal 1/96 binary64) (PI.f64)))))))) f)
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(/ (+ (exp (neg (* 1/4 (* f (PI))))) (exp (* 1/4 (* f (PI))))) (- (exp (* 1/4 (* f (PI)))) (exp (neg (* 1/4 (* f (PI)))))))
(/.f64 (+.f64 (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))) (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f))) (-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f)))))
(* f (- (* 1/4 (PI)) (* -1/4 (PI))))
(.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (* 1/384 (pow (PI) 3)) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(.f64 f (+.f64 (.f64 f (.f64 f (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (* 1/122880 (pow (PI) 5)) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(.f64 f (+.f64 (.f64 f (.f64 f (+.f64 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64)))))) (.f64 (PI.f64) #s(literal 1/2 binary64))))
(* f (- (+ (* 1/4 (PI)) (* (pow f 2) (- (+ (* 1/384 (pow (PI) 3)) (* (pow f 2) (- (+ (* 1/122880 (pow (PI) 5)) (* (pow f 2) (- (* 1/82575360 (pow (PI) 7)) (* -1/82575360 (pow (PI) 7))))) (* -1/122880 (pow (PI) 5))))) (* -1/384 (pow (PI) 3))))) (* -1/4 (PI))))
(.f64 f (+.f64 (.f64 (.f64 f f) (+.f64 (.f64 (.f64 f f) (+.f64 (.f64 (.f64 f f) (.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/41287680 binary64))) (.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal 1/61440 binary64)))) (.f64 (PI.f64) (.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 1/192 binary64))))) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))
(- (exp (* 1/4 (* f (PI)))) (exp (* -1/4 (* f (PI)))))
(-.f64 (exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)) f)) (exp.f64 (.f64 (PI.f64) (.f64 #s(literal -1/4 binary64) f))))

eval155.0ms (0.8%)

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

prune164.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	994	19	1013
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	996	19	1015

Accuracy

99.9%

Counts

1015 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.9%	(/.f64 (/.f64 (-.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	96.9%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (+.f64 (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 (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) #s(literal -4 binary64)))
	97.0%	(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))) (+.f64 (.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))) (.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64)))))))
▶	97.4%	(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	97.0%	(/.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)))
	97.4%	(/.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)))
	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 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 3 binary64))) #s(literal -4 binary64)) (.f64 (+.f64 (pow.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) #s(literal 2 binary64)) (+.f64 (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)))))))) (PI.f64)))
▶	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)))
	97.1%	(/.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)))
▶	96.6%	(/.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)))
▶	99.1%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	99.0%	(/.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))))))
	97.3%	(-.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)))
	98.8%	(*.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))))
	98.9%	(*.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)))
	96.9%	(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))))))))
	96.4%	(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 1334 to 662 computations (50.4% saved)

simplify196.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

3724×	`-lowering-.f32`
3724×	`-lowering-.f64`
1982×	`/-lowering-/.f32`
1982×	`/-lowering-/.f64`
1664×	`neg-lowering-neg.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	346
1	114	326
2	298	317
3	837	315
4	3377	315
0	8351	315

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

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

localize253.0ms (1.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(/.f64 (-.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal -4 binary64))) (.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
✓	accuracy	99.2%	(/.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	99.5%	(/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	99.4%	(/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))) (/.f64 #s(literal -4 binary64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
✓	accuracy	99.2%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f))
✓	accuracy	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64)))) (log.f64 f)) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 2 binary64) (*.f64 (PI.f64) #s(literal 1/2 binary64))))
✓	accuracy	99.6%	(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 (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	99.5%	(/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))
✓	accuracy	100.0%	(tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	accuracy	99.9%	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	accuracy	99.5%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
✓	accuracy	99.2%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))

Results

165.0ms	252×	0	valid
11.0ms	4×	2	valid

Compiler

Compiled 359 to 43 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-log: 25.0ms (30% of total)

ival-div: 22.0ms (26.4% of total)

ival-mult: 19.0ms (22.8% of total)

ival-cosh: 5.0ms (6% of total)

ival-sub: 3.0ms (3.6% of total)

ival-sqrt: 2.0ms (2.4% of total)

ival-sinh: 2.0ms (2.4% of total)

ival-tanh: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

ival-pi: 1.0ms (1.2% of total)

backward-pass: 1.0ms (1.2% of total)

series472.0ms (2.5%)

Counts

24 → 228

Calls

Call 1

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

Outputs
#<alt (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 2 (/ (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI))))) (PI))) (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))))))>
#<alt (+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* f (+ (* 8 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (pow (PI) 2))) (* f (+ (* 2/3 (/ (* f (+ (* -48 (/ (* (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3)))) (pow (PI) 2))) (+ (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))) (* 24 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4)))))) (+ (* -1/8 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (* -1/128 (pow (PI) 3))))) (* 1/64 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))))))) (PI)))))) (PI))) (* 2 (/ (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 8 (/ (- (* 1/2 (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3))))) (* 1/128 (pow (PI) 3))) (PI)))) (PI))))))))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
#<alt (* 4 (/ (log (/ (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))) (+ (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))) (PI)))>
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#<alt (+ (log f) (log (* 1/2 (PI))))>
#<alt (+ (log f) (+ (log (* 1/2 (PI))) (* 2 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (PI)))))>
#<alt (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 1/2 (* f (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI)))))) (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI)))))))>
#<alt (+ (log f) (+ (log (* 1/2 (PI))) (* f (+ (* 2 (/ (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) (PI))) (* f (+ (* 1/6 (* f (+ (* -24 (/ (* (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))) (+ (* 12 (/ (+ (* -1/4 (* (PI) (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/384 (pow (PI) 3)))))) (+ (* -1/32 (* (pow (PI) 2) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/1536 (pow (PI) 4)) (* 1/3072 (pow (PI) 4))))) (PI))) (* 16 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 3) (pow (PI) 3))))))) (* 1/2 (+ (* -4 (/ (pow (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2))) 2) (pow (PI) 2))) (* 4 (/ (+ (* -1/4 (* (PI) (+ (* -1/16 (pow (PI) 2)) (* 1/32 (pow (PI) 2))))) (+ (* -1/128 (pow (PI) 3)) (* 1/192 (pow (PI) 3)))) (PI)))))))))))>
#<alt (log (- (exp (* 1/4 (* f (PI)))) (/ 1 (exp (* 1/4 (* f (PI)))))))>
#<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)))))))>
#<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)))))))>

Calls

57 calls:

Time	Variable		Point	Expression
136.0ms	f	@	0	(/ (- (log (/ 2 (* (PI) 1/2))) (log f)) (/ (PI) -4))
69.0ms	f	@	-inf	(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
43.0ms	f	@	inf	(/ (- (* (log (* 2 (cosh (/ (PI) (/ 4 f))))) (/ (PI) -4)) (* (/ (PI) -4) (log (* 2 (sinh (/ (PI) (/ 4 f))))))) (* (/ (PI) -4) (/ (PI) -4)))
31.0ms	f	@	-inf	(/ (* (log (/ 1 (tanh (/ (PI) (/ 4 f))))) (/ -4 (sqrt (PI)))) (sqrt (PI)))
31.0ms	f	@	inf	(/ (log (tanh (/ (PI) (/ 4 f)))) (/ (PI) 4))

rewrite458.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4050×	`/-lowering-/.f32`
4050×	`/-lowering-/.f64`
2890×	`-lowering-.f32`
2890×	`-lowering-.f64`
1468×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	228
1	264	208
2	2057	206
0	8459	206

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 1304

Calls

Call 1

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

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

simplify333.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

5062×	`-lowering-.f32`
5062×	`-lowering-.f64`
2342×	`+-lowering-+.f64`
2342×	`+-lowering-+.f32`
1816×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	442	6872
1	1571	5783
2	7408	5783
0	8316	5783

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

eval413.0ms (2.2%)

Compiler: Compiled 77566 to 7671 computations (90.1% saved)

prune273.0ms (1.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	2468	15	2483
Fresh	12	2	14
Picked	4	1	5
Done	0	0	0
Total	2484	18	2502

Accuracy

99.9%

Counts

2502 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(fma.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))) (neg.f64 (.f64 #s(literal 1 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))))))
	97.1%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) #s(literal -4 binary64)) (.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
	97.0%	(/.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)))
	96.8%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	10.2%	(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) f))))) (log1p.f64 (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	96.9%	(/.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	97.1%	(/.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)))
▶	96.0%	(/.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)))
	97.0%	(/.f64 (log.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
▶	98.5%	(/.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)))
✓	99.1%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	96.5%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	96.7%	(-.f64 (/.f64 (/.f64 (log.f64 #s(literal 2 binary64)) (PI.f64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (log.f64 (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))) (PI.f64)) #s(literal -1/4 binary64)))
	96.8%	(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	96.4%	(.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)))
▶	96.4%	(*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
	96.9%	(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))))

Compiler

Compiled 690 to 493 computations (28.6% saved)

simplify206.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64)))))
✓	cost-diff	6656	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	cost-diff	6656	(/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64))
✓	cost-diff	6784	(/.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)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	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	6592	(.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	0	(/.f64 #s(literal 4 binary64) f)
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 4 binary64) f))
✓	cost-diff	0	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))
✓	cost-diff	0	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	cost-diff	0	(PI.f64)
✓	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))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	cost-diff	0	(log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))
✓	cost-diff	6656	(cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64))))
✓	cost-diff	6656	(/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64))
✓	cost-diff	6656	(/.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)))

Rules

2388×	`-lowering-.f32`
2388×	`-lowering-.f64`
1832×	`/-lowering-/.f32`
1832×	`/-lowering-/.f64`
1456×	`sum5-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	215
1	89	201
2	191	201
3	351	201
4	670	201
5	1675	201
6	5666	201
0	8449	201

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))
(* (log (/ (PI) (/ 4 f))) (/ 4 (PI)))
(log (/ (PI) (/ 4 f)))
(/ (PI) (/ 4 f))
(PI)
(/ 4 f)
4
f
(/ 4 (PI))
(/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))
(- (log (/ 4 f)) (log (PI)))
(log (/ 4 f))
(/ 4 f)
4
f
(log (PI))
(PI)
(/ (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) (* f 1/2)))) (/ (cbrt (* (PI) (* (PI) (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
(/ (cbrt (* (PI) (* (PI) (PI)))) -4)
(cbrt (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
-4

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

localize186.0ms (1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.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)))
✓	accuracy	99.5%	(/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 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))))
✓	accuracy	99.6%	(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)) (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%	(PI.f64)
✓	accuracy	99.7%	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))
✓	accuracy	99.6%	(log.f64 (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.5%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))
✓	accuracy	99.3%	(*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	accuracy	99.2%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	accuracy	99.5%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
✓	accuracy	99.2%	(/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))
✓	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

116.0ms	252×	0	valid
4.0ms	4×	1	valid

Compiler

Compiled 250 to 40 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 22.0ms (32.5% of total)

ival-log: 19.0ms (28.1% of total)

ival-mult: 12.0ms (17.7% of total)

ival-pow: 7.0ms (10.3% of total)

ival-cbrt: 2.0ms (3% of total)

ival-tanh: 2.0ms (3% of total)

const: 1.0ms (1.5% of total)

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

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

backward-pass: 0.0ms (0% of total)

series240.0ms (1.3%)

Counts

23 → 204

Calls

Call 1

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

Calls

51 calls:

Time	Variable		Point	Expression
149.0ms	f	@	-inf	(* (log (/ (PI) (/ 4 f))) (/ 4 (PI)))
29.0ms	f	@	0	(/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))
15.0ms	f	@	0	(* (log (/ (PI) (/ 4 f))) (/ 4 (PI)))
13.0ms	f	@	-inf	(/ (- (log (/ 4 f)) (log (PI))) (/ (PI) -4))
10.0ms	f	@	inf	(* (log (/ (PI) (/ 4 f))) (/ 4 (PI)))

rewrite392.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3578×	`/-lowering-/.f32`
3578×	`/-lowering-/.f64`
3146×	`-lowering-.f32`
3146×	`-lowering-.f64`
1548×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	130
1	230	128
2	1562	128
0	8267	128

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 1817

Calls

Call 1

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

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

simplify475.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

2474×	`-lowering-.f32`
2474×	`-lowering-.f64`
2120×	`+-lowering-+.f64`
2120×	`+-lowering-+.f32`
920×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2519
1	564	2274
2	2216	2144
3	7647	2144
0	8118	2144

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

eval440.0ms (2.4%)

Compiler: Compiled 70267 to 7633 computations (89.1% saved)

prune323.0ms (1.7%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	3230	13	3243
Fresh	6	6	12
Picked	3	2	5
Done	0	1	1
Total	3239	22	3261

Accuracy

99.9%

Counts

3261 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(fma.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))) (neg.f64 (.f64 #s(literal 1 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))))))
	97.1%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) #s(literal -4 binary64)) (.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
	97.0%	(/.f64 (/.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (PI.f64))
▶	96.3%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	96.8%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	10.2%	(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) f))))) (log1p.f64 (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	10.2%	(/.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 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
	96.0%	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
	97.1%	(/.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)))
▶	97.5%	(/.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)))
✓	98.5%	(/.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)))
✓	99.1%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	96.8%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))
	96.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
	96.3%	(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (-.f64 #s(literal 0 binary64) (PI.f64))))
▶	96.5%	(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
▶	96.8%	(-.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)))
	96.8%	(-.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (/.f64 (PI.f64) #s(literal -4 binary64))) (/.f64 (log.f64 f) (/.f64 (PI.f64) #s(literal -4 binary64))))
▶	96.9%	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
	96.8%	(.f64 (-.f64 (log.f64 (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
	96.8%	(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	96.4%	(*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))

Compiler

Compiled 800 to 561 computations (29.9% saved)

simplify164.0ms (0.9%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 #s(literal 4 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64))
✓	cost-diff	0	(/.f64 (/.f64 (log.f64 #s(literal 4 binary64)) #s(literal -1/4 binary64)) (PI.f64))
✓	cost-diff	128	(-.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)))
✓	cost-diff	0	(/.f64 #s(literal 4 binary64) (PI.f64))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	cost-diff	0	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
✓	cost-diff	0	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
✓	cost-diff	0	(/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓	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)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓	cost-diff	0	(log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))
✓	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓	cost-diff	0	(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓	cost-diff	6656	(.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64)))
✓	cost-diff	13312	(cbrt.f64 (.f64 (PI.f64) (.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) (PI.f64))))
✓	cost-diff	13312	(/.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	13312	(/.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)))

Rules

2378×	`-lowering-.f32`
2378×	`-lowering-.f64`
1792×	`sum5-define`
1360×	`/-lowering-/.f32`
1360×	`/-lowering-/.f64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	39	245
1	87	213
2	183	213
3	354	213
4	657	212
5	1234	212
6	2764	211
7	7307	211
0	8131	211

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))
(/ -4 (/ (PI) (log (/ 4 (* (PI) f)))))
-4
(/ (PI) (log (/ 4 (* (PI) f))))
(PI)
(log (/ 4 (* (PI) f)))
(/ 4 (* (PI) f))
4
(* (PI) f)
f
(/ (/ 1 (PI)) (/ -1/4 (log (/ 4 (* (PI) f)))))
(/ 1 (PI))
1
(PI)
(/ -1/4 (log (/ 4 (* (PI) f))))
-1/4
(log (/ 4 (* (PI) f)))
(/ 4 (* (PI) f))
4
(* (PI) f)
f
(* (- (log (/ 4 (PI))) (log f)) (/ -4 (PI)))
(- (log (/ 4 (PI))) (log f))
(log (/ 4 (PI)))
(/ 4 (PI))
4
(PI)
(log f)
f
(/ -4 (PI))
-4
(- (/ (/ (log 4) -1/4) (PI)) (/ (/ (log (* (PI) f)) -1/4) (PI)))
(/ (/ (log 4) -1/4) (PI))
(/ (log 4) -1/4)
(log 4)
4
-1/4
(PI)
(/ (/ (log (* (PI) f)) -1/4) (PI))
(/ (log (* (PI) f)) -1/4)
(log (* (PI) f))
(* (PI) f)
f

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

localize188.0ms (1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 (*.f64 (PI.f64) f))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.5%	(/.f64 (/.f64 (log.f64 (*.f64 (PI.f64) f)) #s(literal -1/4 binary64)) (PI.f64))
✓	accuracy	99.5%	(-.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)))
✓	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
✓	accuracy	99.3%	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
✓	accuracy	96.9%	(log.f64 (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	accuracy	99.6%	(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 -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓	accuracy	99.6%	(*.f64 (PI.f64) f)
✓	accuracy	99.6%	(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
✓	accuracy	99.6%	(/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))))
✓	accuracy	99.5%	(/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))
✓	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

114.0ms	252×	0	valid
4.0ms	4×	1	valid

Compiler

Compiled 267 to 40 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-div: 28.0ms (38.2% of total)

ival-log: 19.0ms (25.9% of total)

ival-mult: 17.0ms (23.2% of total)

ival-cbrt: 3.0ms (4.1% of total)

ival-sub: 3.0ms (4.1% of total)

ival-tanh: 2.0ms (2.7% of total)

const: 1.0ms (1.4% of total)

ival-pi: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series57.0ms (0.3%)

Counts

25 → 156

Calls

Call 1

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

Calls

39 calls:

Time	Variable		Point	Expression
26.0ms	f	@	-inf	(- (/ (/ (log 4) -1/4) (PI)) (/ (/ (log (* (PI) f)) -1/4) (PI)))
17.0ms	f	@	0	(- (/ (/ (log 4) -1/4) (PI)) (/ (/ (log (* (PI) f)) -1/4) (PI)))
7.0ms	f	@	inf	(- (/ (/ (log 4) -1/4) (PI)) (/ (/ (log (* (PI) f)) -1/4) (PI)))
1.0ms	f	@	0	(/ (PI) (log (/ 4 (* (PI) f))))
1.0ms	f	@	-inf	(/ (PI) (log (/ 4 (* (PI) f))))

rewrite494.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3752×	`/-lowering-/.f32`
3752×	`/-lowering-/.f64`
2630×	`-lowering-.f32`
2630×	`-lowering-.f64`
1818×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	132
1	247	132
2	2223	132
0	8390	132

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 2182

Calls

Call 1

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

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

simplify253.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

3848×	`-lowering-.f32`
3848×	`-lowering-.f64`
1544×	`fma-define`
1400×	`+-lowering-+.f64`
1400×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1912
1	518	1804
2	1841	1708
0	8823	1708

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI)))
(.f64 (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(+ (* 4 (/ (+ (log f) (log (* 1/4 (PI)))) (PI))) (* 8 (/ (* f (+ (* -1/16 (pow (PI) 2)) (* 1/16 (pow (PI) 2)))) (pow (PI) 2))))
(+.f64 (.f64 (+.f64 (log.f64 f) (log.f64 (.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 #s(literal 4 binary64) (PI.f64))) #s(literal 0 binary64))
(+ (* 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))))))
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(+ (* 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))))))))
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(* 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)))
(.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 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)))
(.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 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)))
(.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 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)))
(.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 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)))
(.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 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)))
(.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 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)))
(.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(* 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)))
(.f64 (log.f64 (/.f64 (-.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (.f64 (PI.f64) #s(literal -1/4 binary64))))) (+.f64 (exp.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (exp.f64 (.f64 f (*.f64 (PI.f64) #s(literal -1/4 binary64))))))) (/.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 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(* -4 (/ (+ (log (/ -4 (PI))) (log (/ -1 f))) (PI)))
(/.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f)))) (PI.f64))
(/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (PI) (+ (log (/ 4 (PI))) (* -1 (log f))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (PI) (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (PI) (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (PI) (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (PI) (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ (PI) (+ (log (/ -4 (PI))) (log (/ -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(/ (PI) (+ (log (/ -4 (PI))) (log (/ -1 f))))
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(/ (PI) (+ (log (/ -4 (PI))) (log (/ -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(/ (PI) (+ (log (/ -4 (PI))) (log (/ -1 f))))
(/.f64 (PI.f64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(+ (log (/ 4 (PI))) (* -1 (log f)))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(+ (log (/ 4 (PI))) (* -1 (log f)))
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(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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(* -4 (/ (+ (log (/ 4 (PI))) (* -1 (log f))) (PI)))
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(* -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)))
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(/.f64 #s(literal -1/4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ -1/4 (+ (log (/ 1 f)) (log (/ 4 (PI)))))
(/.f64 #s(literal -1/4 binary64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)))
(/ -1/4 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(/.f64 #s(literal -1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(/ -1/4 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(/.f64 #s(literal -1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(/ -1/4 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(/.f64 #s(literal -1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(/ -1/4 (+ (log (/ -4 (PI))) (log (/ -1 f))))
(/.f64 #s(literal -1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -4 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))))
(* -4 (/ (- (log (/ 4 (PI))) (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))) (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))) (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))) (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 (/ 1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (- (log (/ 4 (PI))) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f))))) (PI)))
(*.f64 (+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(- (log (/ 4 (PI))) (log f))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(- (log (/ 4 (PI))) (log f))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(- (log (/ 4 (PI))) (log f))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(- (log (/ 4 (PI))) (log f))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(- (log (/ 4 (PI))) (* -1 (log (/ 1 f))))
(-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f))
(- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64))))
(- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64))))
(- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64))))
(- (log (/ 4 (PI))) (+ (log -1) (* -1 (log (/ -1 f)))))
(+.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) f)) (log.f64 #s(literal -1 binary64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log f) (log (PI))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log f) (log (PI))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log f) (log (PI))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (PI.f64))))
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(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log (PI)) (* -1 (log (/ 1 f)))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log (PI)) (* -1 (log (/ 1 f)))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log (PI)) (* -1 (log (/ 1 f)))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log (PI)) (* -1 (log (/ 1 f)))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))))
(- (* -4 (/ (log 4) (PI))) (* -4 (/ (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))) (PI))))
(*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (log.f64 #s(literal 4 binary64)) (PI.f64)) (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (PI.f64))))
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(/ 4 (* f (PI)))
(/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)
(* 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 (/ (+ (log f) (log (PI))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log f) (log (PI))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log f) (log (PI))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log f) (log (PI))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (PI)) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (PI)) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (PI)) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (PI)) (* -1 (log (/ 1 f)))) (PI)))
(*.f64 (+.f64 (log.f64 f) (log.f64 (PI.f64))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (PI.f64)))
(* -4 (/ (+ (log (* -1 (PI))) (* -1 (log (/ -1 f)))) (PI)))
(*.f64 (-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (PI.f64))) (log.f64 (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -4 binary64) (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 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)))

eval579.0ms (3.1%)

Compiler: Compiled 80399 to 7731 computations (90.4% saved)

prune372.0ms (2%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	3452	5	3457
Fresh	3	11	14
Picked	2	3	5
Done	0	3	3
Total	3457	22	3479

Accuracy

99.9%

Counts

3479 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(fma.f64 (/.f64 (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f))))) (/.f64 #s(literal -4 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (PI.f64) (PI.f64)) #s(literal 16 binary64))) (neg.f64 (.f64 #s(literal 1 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))))))
	97.1%	(/.f64 (/.f64 (-.f64 (.f64 (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (PI.f64) (/.f64 #s(literal -4 binary64) f)))))) (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))))) #s(literal -4 binary64)) (.f64 #s(literal -4 binary64) (/.f64 #s(literal -4 binary64) (.f64 (PI.f64) (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))))))))) (*.f64 (/.f64 (PI.f64) #s(literal -4 binary64)) (/.f64 (PI.f64) #s(literal -4 binary64))))
	97.0%	(/.f64 (/.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (PI.f64))
✓	96.3%	(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
	96.8%	(/.f64 (-.f64 (log.f64 (/.f64 #s(literal 2 binary64) (PI.f64))) (log.f64 (*.f64 f #s(literal 1/2 binary64)))) (/.f64 (PI.f64) #s(literal -4 binary64)))
	10.2%	(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) f))))) (log1p.f64 (exp.f64 (/.f64 (.f64 #s(literal -2 binary64) (PI.f64)) (/.f64 #s(literal 4 binary64) f))))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	10.2%	(/.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 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal 4 binary64)))
	96.0%	(/.f64 (log.f64 (/.f64 (/.f64 #s(literal 4 binary64) (PI.f64)) f)) (/.f64 (cbrt.f64 (.f64 (PI.f64) (.f64 (PI.f64) (PI.f64)))) #s(literal -4 binary64)))
	97.1%	(/.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)))
✓	97.5%	(/.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)))
✓	98.5%	(/.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)))
✓	99.1%	(/.f64 (log.f64 (tanh.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
	96.5%	(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
	96.5%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f))) (PI.f64))))
	96.5%	(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))))
	96.8%	(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f)))))
	96.3%	(/.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
	96.8%	(-.f64 (/.f64 (/.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (PI.f64)) #s(literal -1/4 binary64)) (/.f64 (/.f64 (log.f64 f) (PI.f64)) #s(literal -1/4 binary64)))
✓	96.9%	(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
	96.8%	(.f64 (-.f64 (log.f64 (.f64 (PI.f64) (*.f64 f #s(literal 1/2 binary64)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
	96.8%	(*.f64 (+.f64 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
✓	96.4%	(*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))

Compiler

Compiled 1648 to 568 computations (65.5% saved)

regimes100.0ms (0.5%)

Counts

54 → 1

Calls

Call 1

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

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

Calls

6 calls:

22.0ms	(.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)))))))
21.0ms	(/.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)))))
15.0ms	(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (PI.f64) #s(literal 4 binary64))) (log.f64 (/.f64 (+.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)))) (-.f64 (exp.f64 (.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f))))))))
14.0ms	(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)
13.0ms	f

Results

Accuracy	Segments	Branch
99.1%	1	`f`
99.1%	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))))))))`
99.1%	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)))))))`
99.1%	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))))))`
99.1%	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)))))`
99.1%	1	`(*.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) f)`

Compiler

Compiled 144 to 60 computations (58.3% saved)

regimes9.0ms (0%)

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (log.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (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 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(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 (log.f64 (/.f64 f #s(literal 4 binary64))) (log.f64 (PI.f64))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(*.f64 (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) (PI.f64))) (log.f64 f)) (/.f64 #s(literal -4 binary64) (PI.f64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (-.f64 (log.f64 #s(literal 4 binary64)) (log.f64 (*.f64 (PI.f64) f)))))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (-.f64 (log.f64 (/.f64 #s(literal 4 binary64) f)) (log.f64 (PI.f64)))))

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:

8.0ms

Results

Accuracy	Segments	Branch
97.1%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f))) (/.f64 #s(literal 4 binary64) (PI.f64)))
(/.f64 #s(literal -4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 4 binary64) (/.f64 (PI.f64) (log.f64 (/.f64 (PI.f64) (/.f64 #s(literal 4 binary64) f)))))
(/.f64 (log.f64 (.f64 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 (PI.f64) #s(literal 4 binary64)))
(/.f64 (/.f64 (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (PI.f64))
(/.f64 #s(literal -4 binary64) (.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/4 binary64) (/.f64 (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 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (PI.f64) #s(literal 4 binary64)) (log.f64 (/.f64 (*.f64 (PI.f64) f) #s(literal 4 binary64)))))
(/.f64 (log.f64 (/.f64 #s(literal 2 binary64) (.f64 (PI.f64) (.f64 f #s(literal 1/2 binary64))))) (/.f64 (PI.f64) #s(literal -4 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (*.f64 (PI.f64) f)))))
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1/4 binary64) (log.f64 (/.f64 #s(literal 4 binary64) (.f64 (PI.f64) f)))) (-.f64 #s(literal 0 binary64) (PI.f64))))
(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 f (.f64 #s(literal 1/4 binary64) (PI.f64)))) (/.f64 (PI.f64) #s(literal 4 binary64)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
97.0%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
96.5%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
96.4%	1	`f`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	75
1	58	75

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

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

soundness3.2s (17.3%)

Rules

5062×	`-lowering-.f32`
5062×	`-lowering-.f64`
4240×	`/-lowering-/.f32`
4240×	`/-lowering-/.f64`
4210×	`-lowering-.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	227	3317
1	749	2907
2	3265	2785
0	8978	2785
0	39	130
1	230	128
2	1562	128
0	8267	128
0	442	6872
1	1571	5783
2	7408	5783
0	8316	5783
0	16	36
1	46	32
2	123	32
3	271	32
4	464	32
5	679	32
6	913	32
7	1218	32
8	1868	32
9	2313	32
10	3051	32
11	4744	32
12	5300	32
13	5563	32
14	6101	32
15	7504	32
0	8030	32
0	29	194
1	191	90
2	1475	90
0	8243	90
0	42	228
1	264	208
2	2057	206
0	8459	206

Stop Event

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

Compiler

Compiled 97 to 63 computations (35.1% saved)

preprocess54.0ms (0.3%)

Compiler: Compiled 228 to 120 computations (47.4% saved)

analyze306.0ms (1.6%)

sample5.9s (31.9%)

preprocess280.0ms (1.5%)

explain327.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify138.0ms (0.7%)

localize271.0ms (1.5%)

series209.0ms (1.1%)

rewrite443.0ms (2.4%)

simplify228.0ms (1.2%)

eval155.0ms (0.8%)

prune164.0ms (0.9%)

simplify196.0ms (1.1%)

localize253.0ms (1.4%)

series472.0ms (2.5%)

rewrite458.0ms (2.5%)

simplify333.0ms (1.8%)

eval413.0ms (2.2%)

prune273.0ms (1.5%)

simplify206.0ms (1.1%)

localize186.0ms (1%)

series240.0ms (1.3%)

rewrite392.0ms (2.1%)

simplify475.0ms (2.6%)

eval440.0ms (2.4%)

prune323.0ms (1.7%)

simplify164.0ms (0.9%)

localize188.0ms (1%)

series57.0ms (0.3%)

rewrite494.0ms (2.7%)

simplify253.0ms (1.4%)

eval579.0ms (3.1%)

prune372.0ms (2%)

regimes100.0ms (0.5%)

regimes9.0ms (0%)

regimes5.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify8.0ms (0%)

soundness3.2s (17.3%)

preprocess54.0ms (0.3%)

end0.0ms (0%)

Profiling