Metrics for Quotient of sum of exps

analyze14.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	6
95.2%	93.7%	4.7%	0.1%	0%	0%	1.6%	7
96%	93.7%	3.9%	0.1%	0%	0%	2.3%	8
97.2%	93.7%	2.7%	0.1%	0%	0%	3.5%	9
97.8%	93.7%	2.1%	0.1%	0%	0%	4.1%	10
98.5%	93.7%	1.5%	0.1%	0%	0%	4.8%	11
98.8%	93.7%	1.1%	0.1%	0%	0%	5.1%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 3.0ms (73.4% of total)

ival-add: 1.0ms (24.5% of total)

ival-div: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

sample932.0ms (11%)

Results

501.0ms	8256×	0	valid
172.0ms	2958×	0	unsamplable

Precisions

Click to see histograms. Total time spent on operations: 320.0ms

ival-exp: 149.0ms (46.6% of total)

ival-div: 84.0ms (26.3% of total)

ival-add: 72.0ms (22.5% of total)

const: 11.0ms (3.4% of total)

backward-pass: 4.0ms (1.3% of total)

Bogosity

preprocess123.0ms (1.5%)

Algorithm

2×	egg-herbie

Rules

1462×	`fnmadd-define`
1282×	`fmsub-define`
1192×	`fnmsub-define`
992×	`fma-define`
966×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	56
1	42	56
2	79	56
3	153	56
4	321	49
5	653	49
6	1104	49
7	1968	49
8	2793	49
9	3793	49
10	4146	46
11	4785	45
12	5399	44
13	5945	44
14	6211	44
15	6251	44
16	6261	44
0	6	8
1	7	8
0	7	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(/ (exp a) (+ (exp a) (exp b)))

Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Call 2

Inputs
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(/ (exp a) (+ (exp a) (exp (neg b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(/ (exp b) (+ (exp b) (exp a)))

Outputs
(/ (exp a) (+ (exp a) (exp b)))
(recip (+ 1 (exp (- b a))))
(/ (exp (neg a)) (+ (exp (neg a)) (exp b)))
(recip (fmsub (exp a) (exp b) -1))
(/ (exp a) (+ (exp a) (exp (neg b))))
(recip (+ 1 (exp (- (neg a) b))))
(neg (/ (exp (neg a)) (+ (exp (neg a)) (exp b))))
(recip (fnmsub (exp a) (exp b) 1))
(neg (/ (exp a) (+ (exp a) (exp (neg b)))))
(recip (- -1 (exp (- (neg a) b))))
(/ (exp b) (+ (exp b) (exp a)))
(recip (+ 1 (exp (- a b))))

explain78.0ms (0.9%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
1	-	-	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
0	-	-	`(exp.f64 a)`
0	-	-	`(exp.f64 b)`
0	-	-	`b`
0	-	-	`a`
0	-	-	`(+.f64 (exp.f64 a) (exp.f64 b))`

Results

49.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 8.0ms (41.9% of total)

ival-exp: 7.0ms (36.7% of total)

ival-add: 3.0ms (15.7% of total)

const: 1.0ms (5.2% of total)

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

eval0.0ms (0%)

Compiler: Compiled 10 to 6 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(exp.f64 b)
✓	cost-diff	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Rules

4×	`exp-lowering-exp.f32`
4×	`+-lowering-+.f64`
4×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`
2×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	7	19
0	7	19

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
a
(+ (exp a) (exp b))
(exp b)
b

Outputs
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(exp a)
(exp.f64 a)
a
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp b)
(exp.f64 b)
b

localize30.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

23.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 3.0ms (37.6% of total)

ival-add: 3.0ms (37.6% of total)

ival-div: 2.0ms (25.1% of total)

const: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

Inputs
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (exp b)>

Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	-inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	inf	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	b	@	0	(/ (exp a) (+ (exp a) (exp b)))
1.0ms	a	@	inf	(/ (exp a) (+ (exp a) (exp b)))

rewrite221.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`fma-lowering-fma.f32`
1810×	`fma-lowering-fma.f64`
1660×	`sum4-define`
1514×	`fnmadd-define`
1376×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	15	17
2	55	17
3	218	17
4	794	14
5	3400	14
0	8184	14

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 286

Calls

Call 1

Inputs
(/ (exp a) (+ (exp a) (exp b)))
(exp a)
(+ (exp a) (exp b))
(exp b)

Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 (exp.f64 (-.f64 b a)))))
(exp.f64 (.f64 (.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 a #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (exp.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) a)))))
(exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (exp.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) a))) (*.f64 a #s(literal 1 binary64))))
(exp.f64 (-.f64 (*.f64 a #s(literal 1 binary64)) (-.f64 (log1p.f64 (exp.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) a))))
(exp.f64 (-.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) a) #s(literal -1 binary64)) (-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) a))))
(exp.f64 (-.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) a) #s(literal -1 binary64)) (.f64 (-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) a)) #s(literal 1 binary64))))
(exp.f64 (-.f64 (.f64 (-.f64 (log.f64 #s(literal -1 binary64)) a) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) a))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (exp.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) a))) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) a))) (*.f64 (+.f64 a (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) (-.f64 #s(literal 0 binary64) a))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) a) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))))
(fma.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 a)) (/.f64 (exp.f64 a) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal -1 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))) (neg.f64 (exp.f64 (+.f64 a a))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))) (exp.f64 (+.f64 a a)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log1p.f64 (exp.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) a))) (+.f64 a (-.f64 (log1p.f64 (exp.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal -1 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 a (log1p.f64 (exp.f64 (-.f64 b a))))))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
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(fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (+.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 (exp.f64 b) (exp.f64 b)))))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 b)))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 a)))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64)))
(fma.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 b) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64) (exp.f64 b))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64) (+.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b)))))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (-.f64 (exp.f64 b) (exp.f64 b)))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (-.f64 (exp.f64 a) (exp.f64 a)))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (*.f64 (-.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64)))
(fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64) (+.f64 (-.f64 (exp.f64 b) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (+.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (+.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 (exp.f64 b) (exp.f64 b)))))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 a)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (-.f64 (exp.f64 b) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 (exp.f64 b) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b)))))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b)))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 a)))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (+.f64 (-.f64 (exp.f64 b) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 b)) (exp.f64 a))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 b)) (+.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 b)) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 (exp.f64 b) (exp.f64 b)))))
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))) (+.f64 (exp.f64 a) (exp.f64 b)))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) #s(literal -1 binary64) (exp.f64 a))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) #s(literal -1 binary64) (+.f64 (exp.f64 a) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) #s(literal -1 binary64) (neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 (exp.f64 b) (exp.f64 b)))))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 a)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (-.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 b))))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a))))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 b) (exp.f64 b)) #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (+.f64 (-.f64 (exp.f64 b) (exp.f64 b)) (-.f64 (exp.f64 b) (exp.f64 b))))
(neg.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) (exp.f64 (log.f64 #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (-.f64 b a))) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 (log1p.f64 (exp.f64 (-.f64 b a))) (-.f64 #s(literal 0 binary64) a))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))) a))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(*.f64 (pow.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(+.f64 (exp.f64 b) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (exp.f64 b))
(exp.f64 b)
(-.f64 (exp.f64 b) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 b)))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 b)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)))
(/.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(*.f64 (exp.f64 b) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 b))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 b)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) #s(literal -1 binary64))

simplify240.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3640×	`-lowering-.f32`
3640×	`-lowering-.f64`
1968×	`fma-lowering-fma.f32`
1968×	`fma-lowering-fma.f64`
1936×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	714
1	360	655
2	1227	637
3	5176	633
0	8594	633

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
(/ 1 (+ 1 (exp b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
(/ (exp a) (+ (exp a) (exp b)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)

Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))))))
(+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (.f64 a (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (.f64 a (+.f64 (/.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64)))))))) (/.f64 #s(literal -3/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(-.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (.f64 (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (.f64 b (-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
(/ (exp a) (+ (exp a) (exp b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 b) (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ a (exp b)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) a))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 b (exp.f64 a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+ (exp a) (exp b))
(+.f64 (exp.f64 b) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)

eval43.0ms (0.5%)

Compiler: Compiled 5835 to 832 computations (85.7% saved)

prune58.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	396	5	401
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	397	5	402

Accuracy

100.0%

Counts

402 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.7%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
▶	80.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	63.9%	(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (.f64 b (-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
▶	100.0%	(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))

Compiler

Compiled 244 to 118 computations (51.6% saved)

simplify183.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	26304	(.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (.f64 b (-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b)
✓	cost-diff	32576	(-.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (.f64 b (-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
✓	cost-diff	32576	(.f64 b (-.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (.f64 b (-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
✓	cost-diff	32576	(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (.f64 b (-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
✓	cost-diff	0	(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(exp.f64 (-.f64 b a))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	cost-diff	0	(exp.f64 (-.f64 b a))
✓	cost-diff	0	(log1p.f64 (exp.f64 (-.f64 b a)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a))))
✓	cost-diff	12672	(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))

Rules

2698×	`-lowering-.f32`
2698×	`-lowering-.f64`
1652×	`+-lowering-+.f64`
1652×	`+-lowering-+.f32`
1604×	`fnmsub-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	681
1	111	659
2	334	627
3	1415	589
4	6763	581
0	8049	581

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp (- 0 (log (+ 1 (exp (- b a))))))
(- 0 (log (+ 1 (exp (- b a)))))
0
(log (+ 1 (exp (- b a))))
(exp (- b a))
(- b a)
b
a
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ 1 (+ 1 (exp (- b a))))
1
(+ 1 (exp (- b a)))
(exp (- b a))
(- b a)
b
a
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
(+ (/ (exp a) (+ 1 (exp a))) (* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(/ (exp a) (+ 1 (exp a)))
(exp a)
a
(+ 1 (exp a))
1
(* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2))))
b
(- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2)))
(neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b))
(* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)
(+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1)))))
(* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2))
(/ (exp a) (pow (+ 1 (exp a)) 2))
(pow (+ 1 (exp a)) 2)
2
(+ (/ -1 (+ 1 (exp a))) 1/2)
(/ -1 (+ 1 (exp a)))
-1
1/2
(* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))
(- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1)))
(* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6))
(+ (/ -1/2 (+ 1 (exp a))) 1/6)
(/ -1/2 (+ 1 (exp a)))
-1/2
1/6
(* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(pow (+ 1 (exp a)) 3)
3
(/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1)

Outputs
(exp (- 0 (log (+ 1 (exp (- b a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(- 0 (log (+ 1 (exp (- b a)))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a))))
0
#s(literal 0 binary64)
(log (+ 1 (exp (- b a))))
(log1p.f64 (exp.f64 (-.f64 b a)))
(exp (- b a))
(exp.f64 (-.f64 b a))
(- b a)
(-.f64 b a)
b
a
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
1
#s(literal 1 binary64)
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp (- b a))
(exp.f64 (-.f64 b a))
(- b a)
(-.f64 b a)
b
a
(/ (exp a) (+ (exp a) 1))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ (/ (exp a) (+ 1 (exp a))) (* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)))) (.f64 b b)) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (.f64 b (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(exp a)
(exp.f64 a)
a
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(.f64 b (-.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)))) (.f64 b b)) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (.f64 b (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
b
(- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2)))
(-.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64)))) (.f64 b b)) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (*.f64 b (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
(neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b))
(-.f64 #s(literal 0 binary64) (.f64 b (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal -1 binary64))))))
(* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)
(.f64 b (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (*.f64 b (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal -1 binary64)))))
(+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1)))))
(+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (+.f64 (.f64 b (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal -1 binary64))))
(* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (exp a) (pow (+ 1 (exp a)) 2))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(pow (+ 1 (exp a)) 2)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (/ -1 (+ 1 (exp a))) 1/2)
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))
(/ -1 (+ 1 (exp a)))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
-1
#s(literal -1 binary64)
1/2
#s(literal 1/2 binary64)
(* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))
(.f64 (/.f64 (.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1)))
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (-.f64 #s(literal -1 binary64) (exp.f64 a))))))
(* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6))
(/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(+ (/ -1/2 (+ 1 (exp a))) 1/6)
(+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))
(/ -1/2 (+ 1 (exp a)))
(/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
-1/2
#s(literal -1/2 binary64)
1/6
#s(literal 1/6 binary64)
(* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(pow (+ 1 (exp a)) 3)
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1)
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))

localize901.0ms (10.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
✓	accuracy	99.1%	(+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))
✓	accuracy	48.7%	(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 b a)
✓	accuracy	100.0%	(exp.f64 (-.f64 b a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a))))
✓	accuracy	100.0%	(exp.f64 (-.f64 b a))
✓	accuracy	100.0%	(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
✓	accuracy	99.2%	(log1p.f64 (exp.f64 (-.f64 b a)))

Results

474.0ms	108×	5	exit
169.0ms	91×	1	valid
120.0ms	50×	2	valid
4.0ms	7×	0	valid

Compiler

Compiled 728 to 46 computations (93.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 461.0ms

backward-pass: 116.0ms (25.1% of total)

ival-div: 85.0ms (18.4% of total)

ival-exp: 51.0ms (11.1% of total)

ival-add: 37.0ms (8% of total)

ival-mult: 36.0ms (7.8% of total)

compiled-spec: 33.0ms (7.2% of total)

ival-pow: 32.0ms (6.9% of total)

...c/correct-round.rkt:119:19: 23.0ms (5% of total)

ival-log: 21.0ms (4.6% of total)

ival-sub: 19.0ms (4.1% of total)

ival-neg: 4.0ms (0.9% of total)

const: 4.0ms (0.9% of total)

series213.0ms (2.5%)

Counts

21 → 384

Calls

Call 1

Inputs
#<alt (exp (- 0 (log (+ 1 (exp (- b a))))))>
#<alt (- 0 (log (+ 1 (exp (- b a)))))>
#<alt (log (+ 1 (exp (- b a))))>
#<alt (exp (- b a))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (- b a)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (exp a)>
#<alt (+ (exp a) 1)>
#<alt (+ (/ (exp a) (+ 1 (exp a))) (* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2)))))>
#<alt (* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2))))>
#<alt (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2)))>
#<alt (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)>
#<alt (+ (/ -1 (+ 1 (exp a))) 1/2)>
#<alt (+ (/ -1/2 (+ 1 (exp a))) 1/6)>
#<alt (/ (exp a) (pow (+ 1 (exp a)) 3))>
#<alt (/ (exp a) (+ 1 (exp a)))>

Outputs
#<alt (exp (neg (log (+ 1 (exp (neg a))))))>
#<alt (+ (exp (neg (log (+ 1 (exp (neg a)))))) (* -1 (/ (* b (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a)))))))) (+ 1 (exp (neg a))))))>
#<alt (+ (exp (neg (log (+ 1 (exp (neg a)))))) (* b (+ (* -1 (/ (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a))))))) (+ 1 (exp (neg a))))) (* b (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (* 1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2)))))))))>
#<alt (+ (exp (neg (log (+ 1 (exp (neg a)))))) (* b (+ (* -1 (/ (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a))))))) (+ 1 (exp (neg a))))) (* b (+ (* b (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/6 (+ (* -3 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (/ (exp (neg a)) (+ 1 (exp (neg a))))))) (+ (* -1/6 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (+ 1 (exp (neg a))))))))) (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (* 1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))))))))))>
#<alt (exp (neg (log (+ 1 (exp (- b a))))))>
#<alt (exp (neg (log (+ 1 (exp (- b a))))))>
#<alt (exp (neg (log (+ 1 (exp (- b a))))))>
#<alt (exp (neg (log (+ 1 (exp (- b a))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))>
#<alt (exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))>
#<alt (exp (neg (log (+ 1 (exp b)))))>
#<alt (+ (exp (neg (log (+ 1 (exp b))))) (/ (* a (* (exp b) (exp (neg (log (+ 1 (exp b))))))) (+ 1 (exp b))))>
#<alt (+ (exp (neg (log (+ 1 (exp b))))) (* a (+ (* a (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2)))))) (/ (* (exp b) (exp (neg (log (+ 1 (exp b)))))) (+ 1 (exp b))))))>
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#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (/ (exp a) (+ 1 (exp a)))>

Calls

96 calls:

Time	Variable		Point	Expression
48.0ms	b	@	-inf	(exp (- 0 (log (+ 1 (exp (- b a))))))
48.0ms	a	@	-inf	(exp (- 0 (log (+ 1 (exp (- b a))))))
38.0ms	b	@	inf	(exp (- 0 (log (+ 1 (exp (- b a))))))
22.0ms	a	@	inf	(exp (- 0 (log (+ 1 (exp (- b a))))))
9.0ms	b	@	0	(* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2))))

rewrite298.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4568×	`/-lowering-/.f32`
4568×	`/-lowering-/.f64`
4396×	`-lowering-.f32`
4396×	`-lowering-.f64`
2098×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	365
1	182	348
2	991	340
0	8361	340

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 280

Calls

Call 1

Inputs
(exp (- 0 (log (+ 1 (exp (- b a))))))
(- 0 (log (+ 1 (exp (- b a)))))
(log (+ 1 (exp (- b a))))
(exp (- b a))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ 1 (+ 1 (exp (- b a))))
(+ 1 (exp (- b a)))
(- b a)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)
(+ (/ (exp a) (+ 1 (exp a))) (* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
(* b (- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(- (neg (* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)) (/ (exp a) (pow (+ 1 (exp a)) 2)))
(* (+ (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1 (+ 1 (exp a))) 1/2)) (* b (- (* (/ (exp a) (pow (+ 1 (exp a)) 2)) (+ (/ -1/2 (+ 1 (exp a))) 1/6)) (* (/ (exp a) (pow (+ 1 (exp a)) 3)) (/ (+ (/ -1 (+ 1 (exp a))) 1/2) 1))))) b)
(+ (/ -1 (+ 1 (exp a))) 1/2)
(+ (/ -1/2 (+ 1 (exp a))) 1/6)
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/ (exp a) (+ 1 (exp a)))

Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (-.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a))))
(-.f64 #s(literal 0 binary64) (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))))
(fma.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal 0 binary64))
(neg.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(neg.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))))))
(*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (log1p.f64 (exp.f64 (-.f64 b a))))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(-.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal 0 binary64))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))) (log.f64 #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(log1p.f64 (exp.f64 (-.f64 b a)))
(exp.f64 (-.f64 b a))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 a b)) #s(literal 1 binary64)))
(/.f64 (exp.f64 b) (exp.f64 a))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(/.f64 (neg.f64 (exp.f64 b)) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(/.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(pow.f64 (exp.f64 (-.f64 a b)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(*.f64 (exp.f64 b) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 (neg.f64 (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 b))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 b)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) #s(literal -1 binary64))
(exp.f64 b)
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 (-.f64 b a))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (exp.f64 (-.f64 b a))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(fma.f64 (exp.f64 b) (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a))))) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(+.f64 b (-.f64 #s(literal 0 binary64) a))
(+.f64 (-.f64 #s(literal 0 binary64) a) b)
(-.f64 b a)
(fma.f64 #s(literal -1 binary64) a b)
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (exp.f64 a) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(exp.f64 a)
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+.f64 (exp.f64 a) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (exp.f64 a)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 a))) (.f64 b (/.f64 (-.f64 (.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(+.f64 (.f64 b (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 a))) (.f64 b (/.f64 (-.f64 (.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (.f64 b (-.f64 (.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 a))) (.f64 b (/.f64 (-.f64 (.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (/.f64 (*.f64 (exp.f64 a) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -1/2 binary64) #s(literal 1/6 binary64))
(exp.f64 (-.f64 a (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (exp.f64 a))) #s(literal -1 binary64)))
(exp.f64 (.f64 (-.f64 (.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (neg.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))))))
(exp.f64 (+.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a)))) a))
(exp.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 (exp.f64 a))) a)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (/.f64 (*.f64 (exp.f64 a) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))
(neg.f64 (/.f64 (*.f64 (exp.f64 a) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (*.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (exp.f64 a))))
(/.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (/.f64 (*.f64 (exp.f64 a) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))
(*.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))
(*.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)))
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(.f64 #s(literal -1 binary64) (/.f64 (.f64 (exp.f64 a) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))
(*.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -2 binary64)) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (exp.f64 a))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 a) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (*.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (exp.f64 a) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(/.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(/.f64 (neg.f64 (*.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (exp.f64 a)))))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (exp.f64 a))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(.f64 (.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))

simplify387.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

4852×	`-lowering-.f32`
4852×	`-lowering-.f64`
2822×	`+-lowering-+.f64`
2822×	`+-lowering-+.f32`
2016×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	573	8275
1	1967	7386
2	7461	7347
0	8072	7347

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(exp (neg (log (+ 1 (exp (neg a))))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* -1 (/ (* b (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a)))))))) (+ 1 (exp (neg a))))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* b (+ (* -1 (/ (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a))))))) (+ 1 (exp (neg a))))) (* b (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (* 1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2)))))))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* b (+ (* -1 (/ (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a))))))) (+ 1 (exp (neg a))))) (* b (+ (* b (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/6 (+ (* -3 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (/ (exp (neg a)) (+ 1 (exp (neg a))))))) (+ (* -1/6 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (+ 1 (exp (neg a))))))))) (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (* 1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))))))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(exp (neg (log (+ 1 (exp b)))))
(+ (exp (neg (log (+ 1 (exp b))))) (/ (* a (* (exp b) (exp (neg (log (+ 1 (exp b))))))) (+ 1 (exp b))))
(+ (exp (neg (log (+ 1 (exp b))))) (* a (+ (* a (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2)))))) (/ (* (exp b) (exp (neg (log (+ 1 (exp b)))))) (+ 1 (exp b))))))
(+ (exp (neg (log (+ 1 (exp b))))) (* a (+ (* a (+ (* a (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (+ 1 (exp b)))) (+ (* -1/6 (+ (* -2 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))) (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 3 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2)))))) (* 1/6 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))))))) (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))))))) (/ (* (exp b) (exp (neg (log (+ 1 (exp b)))))) (+ 1 (exp b))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (+ b (* -1 a)))))))
(exp (neg (log (+ 1 (exp (+ b (* -1 a)))))))
(exp (neg (log (+ 1 (exp (+ b (* -1 a)))))))
(exp (neg (log (+ 1 (exp (+ b (* -1 a)))))))
(* -1 (log (+ 1 (exp (neg a)))))
(- (* -1 (/ (* b (exp (neg a))) (+ 1 (exp (neg a))))) (log (+ 1 (exp (neg a)))))
(- (* b (- (* -1/2 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a))))))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (log (+ 1 (exp (neg a)))))
(- (* b (- (* b (- (* -1/6 (* b (+ (* -3 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (log (+ 1 (exp (neg a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (log (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (log (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (log (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (log (+ 1 (exp b))))
(- (/ (* a (exp b)) (+ 1 (exp b))) (log (+ 1 (exp b))))
(- (* a (- (* -1/2 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b)))))) (* -1 (/ (exp b) (+ 1 (exp b)))))) (log (+ 1 (exp b))))
(- (* a (- (* a (- (* -1/6 (* a (+ (* -2 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))) (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 3 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))))))) (* 1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))))) (* -1 (/ (exp b) (+ 1 (exp b)))))) (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (+ b (* -1 a))))))
(* -1 (log (+ 1 (exp (+ b (* -1 a))))))
(* -1 (log (+ 1 (exp (+ b (* -1 a))))))
(* -1 (log (+ 1 (exp (+ b (* -1 a))))))
(log (+ 1 (exp (neg a))))
(+ (log (+ 1 (exp (neg a)))) (/ (* b (exp (neg a))) (+ 1 (exp (neg a)))))
(+ (log (+ 1 (exp (neg a)))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a))))))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))
(+ (log (+ 1 (exp (neg a)))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -3 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (neg (+ a (* -1 b))))))
(log (+ 1 (exp (neg (+ a (* -1 b))))))
(log (+ 1 (exp (neg (+ a (* -1 b))))))
(log (+ 1 (exp (neg (+ a (* -1 b))))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (* -1 (/ (* a (exp b)) (+ 1 (exp b)))))
(+ (log (+ 1 (exp b))) (* a (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 1/2 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b)))))))))
(+ (log (+ 1 (exp b))) (* a (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* a (+ (* 1/6 (* a (+ (* -2 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))) (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 3 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))))))) (* 1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))))))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (+ b (* -1 a)))))
(log (+ 1 (exp (+ b (* -1 a)))))
(log (+ 1 (exp (+ b (* -1 a)))))
(log (+ 1 (exp (+ b (* -1 a)))))
(exp (neg a))
(+ (exp (neg a)) (* b (exp (neg a))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp b)
(+ (exp b) (* -1 (* a (exp b))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(/ 1 (+ 1 (exp (neg a))))
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(- (* b (- (* b (- (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2)))
(- (* b (- (* b (- (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2)))
(* (pow b 2) (- (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (+ (* -1 (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (+ (* -1 (/ (exp a) (* (pow b 2) (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2))))))
(* (pow b 2) (- (+ (* -1 (/ (exp a) (* (pow b 2) (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2))))))
(* (pow b 2) (- (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (+ (* -1 (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (+ (* -1 (/ (- (/ (exp a) (* b (pow (+ 1 (exp a)) 2))) (* -1 (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) b)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (+ (* -1 (/ (- (/ (exp a) (* b (pow (+ 1 (exp a)) 2))) (* -1 (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) b)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
(* -1/48 (pow b 2))
(+ (* -1/48 (pow b 2)) (* 1/16 (* a b)))
(+ (* -1/48 (pow b 2)) (* a (+ (* 1/48 (* a (pow b 2))) (* 1/16 b))))
(+ (* -1/48 (pow b 2)) (* a (+ (* 1/16 b) (* a (+ (* -1/48 (* a b)) (* 1/48 (pow b 2)))))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(/ (* b (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(* (pow b 2) (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(* a (+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/480 (* -17/80640 (pow a 2)))) 1/48))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
-1/12
(- (* 1/8 a) 1/12)
(- (* a (+ 1/8 (* -1/96 (pow a 2)))) 1/12)
(- (* a (+ 1/8 (* (pow a 2) (- (* 1/960 (pow a 2)) 1/96)))) 1/12)
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
1/8
(+ 1/8 (* -1/16 a))
(+ 1/8 (* a (- (* -1/32 a) 1/16)))
(+ 1/8 (* a (- (* a (- (* 1/48 a) 1/32)) 1/16)))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/ (exp a) (pow (+ 1 (exp a)) 3))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))

Outputs
(exp (neg (log (+ 1 (exp (neg a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* -1 (/ (* b (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a)))))))) (+ 1 (exp (neg a))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* b (+ (* -1 (/ (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a))))))) (+ 1 (exp (neg a))))) (* b (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (* 1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2)))))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64)))) (.f64 (.f64 b (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))))) (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64))))) (/.f64 (.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64))))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* b (+ (* -1 (/ (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a))))))) (+ 1 (exp (neg a))))) (* b (+ (* b (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/6 (+ (* -3 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (/ (exp (neg a)) (+ 1 (exp (neg a))))))) (+ (* -1/6 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (+ 1 (exp (neg a))))))))) (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (* 1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))))))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64)))) (.f64 b (.f64 b (+.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64))))) (/.f64 (.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (.f64 (+.f64 (/.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 a)) (-.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (/.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (+.f64 (/.f64 (.f64 (exp.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) a))) #s(literal -3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 a) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 3 binary64)))))) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp (- b a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp (- b a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp (- b a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (exp (neg (log (+ 1 (exp b))))) (/ (* a (* (exp b) (exp (neg (log (+ 1 (exp b))))))) (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(+ (exp (neg (log (+ 1 (exp b))))) (* a (+ (* a (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2)))))) (/ (* (exp b) (exp (neg (log (+ 1 (exp b)))))) (+ 1 (exp b))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 b b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(+ (exp (neg (log (+ 1 (exp b))))) (* a (+ (* a (+ (* a (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (+ 1 (exp b)))) (+ (* -1/6 (+ (* -2 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))) (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 3 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2)))))) (* 1/6 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))))))) (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))))))) (/ (* (exp b) (exp (neg (log (+ 1 (exp b)))))) (+ 1 (exp b))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 a (+.f64 (.f64 a (+.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (/.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (+.f64 b b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (.f64 (+.f64 (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 (.f64 #s(literal -2 binary64) (pow.f64 (exp.f64 b) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (-.f64 (/.f64 (.f64 #s(literal 3 binary64) (exp.f64 (+.f64 b b))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))) (/.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 (.f64 (pow.f64 (exp.f64 b) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 (exp.f64 b) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (neg (log (+ 1 (exp (- b a))))))
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1
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(exp b)
(exp.f64 b)
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))) (/.f64 (/.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal 2 binary64))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
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(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
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(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (*.f64 a (exp.f64 b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
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(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
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(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ 1 (exp (neg a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (exp.f64 a)))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a))) (.f64 b (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) (exp.f64 (-.f64 #s(literal 0 binary64) a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 #s(literal 1 binary64) b) #s(literal 1 binary64)) (exp.f64 a))) (.f64 (.f64 (exp.f64 (-.f64 #s(literal 0 binary64) a)) (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))) (*.f64 b b)))
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (exp.f64 b)))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (.f64 a (.f64 (exp.f64 b) (+.f64 #s(literal -1 binary64) (*.f64 a #s(literal 1/2 binary64))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (-.f64 #s(literal 0 binary64) a) #s(literal 1 binary64)) (exp.f64 b))) (.f64 a (.f64 a (.f64 (exp.f64 b) (+.f64 (*.f64 a #s(literal -1/6 binary64)) #s(literal 1/2 binary64))))))
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (+ b (* -1 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (+ b (* -1 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (+ b (* -1 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (exp (+ b (* -1 a))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(- b a)
(-.f64 b a)
(- b a)
(-.f64 b a)
(- b a)
(-.f64 b a)
b
(* b (+ 1 (* -1 (/ a b))))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (* -1 (/ a b))))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(* b (+ 1 (* -1 (/ a b))))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(* -1 (* b (- (/ a b) 1)))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(* -1 (* b (- (/ a b) 1)))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
(* -1 (* b (- (/ a b) 1)))
(*.f64 b (-.f64 #s(literal 1 binary64) (/.f64 a b)))
b
(+ b (* -1 a))
(-.f64 b a)
(+ b (* -1 a))
(-.f64 b a)
(+ b (* -1 a))
(-.f64 b a)
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* a (- (/ b a) 1))
(*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 b a)))
(* a (- (/ b a) 1))
(*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 b a)))
(* a (- (/ b a) 1))
(*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 b a)))
(* -1 a)
(-.f64 #s(literal 0 binary64) a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(.f64 a (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(.f64 a (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(.f64 a (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 b a))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
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(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 #s(literal 1 binary64) a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1/2 (* -1 (* b (+ 1/4 (* -1/48 (pow b 2))))))
(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
(+ 1/2 (+ (* -1 (* b (+ 1/4 (* -1/48 (pow b 2))))) (* a (+ 1/4 (* -1/16 (pow b 2))))))
(+.f64 (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (.f64 b b)))) (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 b (.f64 b #s(literal -1/16 binary64)))))))
(+ 1/2 (+ (* -1 (* b (+ 1/4 (* -1/48 (pow b 2))))) (* a (+ 1/4 (+ (* -1 (* a (* b (- (* 1/48 (pow b 2)) 1/16)))) (* -1/16 (pow b 2)))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 b b) #s(literal -1/48 binary64))))) (.f64 a (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 b (.f64 b #s(literal -1/16 binary64))) (.f64 (+.f64 (.f64 #s(literal 1/48 binary64) (.f64 b b)) #s(literal -1/16 binary64)) (.f64 a b))))))
(+ 1/2 (+ (* -1 (* b (+ 1/4 (* -1/48 (pow b 2))))) (* a (+ 1/4 (+ (* -1/16 (pow b 2)) (* a (+ (* -1 (* b (- (* 1/48 (pow b 2)) 1/16))) (* a (- (* 1/48 (pow b 2)) 1/48)))))))))
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(* -1 (* b (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
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(* -1 (* b (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
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(* -1 (* b (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2)))))
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(* -1 (+ 1/4 (* -1/48 (pow b 2))))
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(- (* -1/16 (* a b)) (+ 1/4 (* -1/48 (pow b 2))))
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(- (* a (- (* a (- 1/16 (* 1/48 (pow b 2)))) (* 1/16 b))) (+ 1/4 (* -1/48 (pow b 2))))
(+.f64 (.f64 a (+.f64 (.f64 a (+.f64 (.f64 (.f64 b b) #s(literal -1/48 binary64)) #s(literal 1/16 binary64))) (.f64 b #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(- (* a (- (* a (- (+ 1/16 (* 1/48 (* a b))) (* 1/48 (pow b 2)))) (* 1/16 b))) (+ 1/4 (* -1/48 (pow b 2))))
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(* -1 (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
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(* -1 (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* -1 (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* -1 (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* -1 (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* -1 (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* -1 (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* -1 (+ (* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* -1 (/ (exp a) (pow (+ 1 (exp a)) 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(- (* -1 (/ (* b (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))) (/ (exp a) (pow (+ 1 (exp a)) 2)))
(-.f64 (.f64 (-.f64 #s(literal 0 binary64) b) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(- (* b (- (* b (- (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2)))
(-.f64 (.f64 b (-.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(- (* b (- (* b (- (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (pow (+ 1 (exp a)) 2)))
(-.f64 (.f64 b (-.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))
(* (pow b 2) (- (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
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(* (pow b 2) (- (+ (* -1 (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
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(* (pow b 2) (- (+ (* -1 (/ (exp a) (* (pow b 2) (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2))))))
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(* (pow b 2) (- (+ (* -1 (/ (exp a) (* (pow b 2) (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2))))))
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(* (pow b 2) (- (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
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(* (pow b 2) (- (+ (* -1 (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
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(* (pow b 2) (- (+ (* -1 (/ (- (/ (exp a) (* b (pow (+ 1 (exp a)) 2))) (* -1 (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) b)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
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(* (pow b 2) (- (+ (* -1 (/ (- (/ (exp a) (* b (pow (+ 1 (exp a)) 2))) (* -1 (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2)))) b)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))) (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))))
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(* -1/48 (pow b 2))
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(+ (* -1/48 (pow b 2)) (* 1/16 (* a b)))
(+.f64 (.f64 (.f64 b b) #s(literal -1/48 binary64)) (.f64 a (.f64 b #s(literal 1/16 binary64))))
(+ (* -1/48 (pow b 2)) (* a (+ (* 1/48 (* a (pow b 2))) (* 1/16 b))))
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(+ (* -1/48 (pow b 2)) (* a (+ (* 1/16 b) (* a (+ (* -1/48 (* a b)) (* 1/48 (pow b 2)))))))
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(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
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(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
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(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
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(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
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(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
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(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
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(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(.f64 b (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
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(/ (* b (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2))
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(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(.f64 b (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(.f64 b (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(* b (+ (* b (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 2))))
(.f64 b (+.f64 (.f64 b (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))) (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))
(* (pow b 2) (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(.f64 (.f64 b b) (*.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(.f64 (.f64 b b) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(.f64 (.f64 b b) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(.f64 (.f64 b b) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))
(* (pow b 2) (- (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(.f64 (.f64 b b) (*.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(.f64 (.f64 b b) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(.f64 (.f64 b b) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))
(* (pow b 2) (- (+ (/ (* (exp a) (- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))) (pow (+ 1 (exp a)) 2)) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (* b (pow (+ 1 (exp a)) 2)))) (/ (* (exp a) (- 1/2 (/ 1 (+ 1 (exp a))))) (pow (+ 1 (exp a)) 3))))
(.f64 (.f64 b b) (+.f64 (.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (.f64 (exp.f64 a) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (*.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))))))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (+.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a #s(literal 1/480 binary64))))))))
(* a (+ 1/4 (* (pow a 2) (- (* (pow a 2) (+ 1/480 (* -17/80640 (pow a 2)))) 1/48))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a (+.f64 #s(literal 1/480 binary64) (.f64 (*.f64 a a) #s(literal -17/80640 binary64)))))))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/2 (/ 1 (+ 1 (exp a))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
-1/12
#s(literal -1/12 binary64)
(- (* 1/8 a) 1/12)
(+.f64 (*.f64 a #s(literal 1/8 binary64)) #s(literal -1/12 binary64))
(- (* a (+ 1/8 (* -1/96 (pow a 2)))) 1/12)
(+.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (*.f64 a a) #s(literal -1/96 binary64)))) #s(literal -1/12 binary64))
(- (* a (+ 1/8 (* (pow a 2) (- (* 1/960 (pow a 2)) 1/96)))) 1/12)
(+.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a (+.f64 #s(literal -1/96 binary64) (.f64 a (*.f64 a #s(literal 1/960 binary64)))))))) #s(literal -1/12 binary64))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(- 1/6 (* 1/2 (/ 1 (+ 1 (exp a)))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (* -1/16 a))
(+.f64 #s(literal 1/8 binary64) (*.f64 a #s(literal -1/16 binary64)))
(+ 1/8 (* a (- (* -1/32 a) 1/16)))
(+.f64 #s(literal 1/8 binary64) (.f64 a (+.f64 #s(literal -1/16 binary64) (.f64 a #s(literal -1/32 binary64)))))
(+ 1/8 (* a (- (* a (- (* 1/48 a) 1/32)) 1/16)))
(+.f64 #s(literal 1/8 binary64) (.f64 a (+.f64 #s(literal -1/16 binary64) (.f64 a (+.f64 #s(literal -1/32 binary64) (*.f64 a #s(literal 1/48 binary64)))))))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
(/ (exp a) (pow (+ 1 (exp a)) 3))
(/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (+.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a #s(literal 1/480 binary64)))))))))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ (exp a) (+ 1 (exp a)))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))

eval141.0ms (1.7%)

Compiler: Compiled 45527 to 2565 computations (94.4% saved)

prune82.0ms (1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	932	10	942
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	935	12	947

Accuracy

100.0%

Counts

947 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	37.6%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
	52.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
▶	47.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	80.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	37.0%	(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
	37.6%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
▶	37.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
▶	40.2%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
	40.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
▶	40.0%	#s(literal 1/2 binary64)

Compiler

Compiled 228 to 177 computations (22.4% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
✓	cost-diff	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	cost-diff	(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
✓	cost-diff	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	cost-diff	(.f64 a (.f64 a #s(literal -1/48 binary64)))
✓	cost-diff	(+.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a #s(literal -1/48 binary64))))
✓	cost-diff	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64)))))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
✓	cost-diff	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(/.f64 (exp.f64 a) #s(literal 2 binary64))

Rules

136×	`fma-define`
132×	`fma-lowering-fma.f32`
132×	`fma-lowering-fma.f64`
88×	`-lowering-.f32`
88×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	97
1	50	82
2	107	81
3	173	81
4	209	81
0	209	81

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (exp a) 2)
(exp a)
a
2
1/2
(+ 1/2 (* b -1/4))
1/2
(* b -1/4)
b
-1/4
(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
1/2
(* a (+ 1/4 (* a (* a -1/48))))
a
(+ 1/4 (* a (* a -1/48)))
1/4
(* a (* a -1/48))
(* a -1/48)
-1/48
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
1
(+ 2 (* b (+ 1 (* b 1/2))))
2
(* b (+ 1 (* b 1/2)))
b
(+ 1 (* b 1/2))
(* b 1/2)
1/2

Outputs
(/ (exp a) 2)
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(exp a)
(exp.f64 a)
a
2
#s(literal 2 binary64)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* b -1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
1/2
#s(literal 1/2 binary64)
(* b -1/4)
(*.f64 b #s(literal -1/4 binary64))
b
-1/4
#s(literal -1/4 binary64)
(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
1/2
#s(literal 1/2 binary64)
(* a (+ 1/4 (* a (* a -1/48))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
a
(+ 1/4 (* a (* a -1/48)))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
1/4
#s(literal 1/4 binary64)
(* a (* a -1/48))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* a -1/48)
(*.f64 a #s(literal -1/48 binary64))
-1/48
#s(literal -1/48 binary64)
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (* b 1/2))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
2
#s(literal 2 binary64)
(* b (+ 1 (* b 1/2)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
b
(+ 1 (* b 1/2))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b 1/2)
(*.f64 #s(literal 1/2 binary64) b)
1/2
#s(literal 1/2 binary64)

localize126.0ms (1.5%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a #s(literal -1/48 binary64))))
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64)))))
✓	accuracy	99.8%	(.f64 a (.f64 a #s(literal -1/48 binary64)))
✓	accuracy	99.5%	(*.f64 a #s(literal -1/48 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	100.0%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓	accuracy	100.0%	(exp.f64 a)

Results

101.0ms

256×

valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 12.0ms (40.8% of total)

ival-add: 6.0ms (20.4% of total)

ival-div: 4.0ms (13.6% of total)

...c/correct-round.rkt:119:19: 4.0ms (13.6% of total)

ival-exp: 2.0ms (6.8% of total)

const: 1.0ms (3.4% of total)

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

series11.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

Inputs
#<alt (/ (exp a) 2)>
#<alt (exp a)>
#<alt (+ 1/2 (* b -1/4))>
#<alt (* b -1/4)>
#<alt (+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))>
#<alt (* a (+ 1/4 (* a (* a -1/48))))>
#<alt (+ 1/4 (* a (* a -1/48)))>
#<alt (* a (* a -1/48))>
#<alt (/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))>
#<alt (+ 2 (* b (+ 1 (* b 1/2))))>
#<alt (* b (+ 1 (* b 1/2)))>
#<alt (+ 1 (* b 1/2))>
#<alt (* a -1/48)>
#<alt (* b 1/2)>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* -1/4 b)>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* -1/48 a)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	a	@	-inf	(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
0.0ms	a	@	inf	(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
0.0ms	b	@	inf	(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
0.0ms	b	@	inf	(+ 1/2 (* b -1/4))
0.0ms	b	@	inf	(* b -1/4)

rewrite178.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`sum3-define`
1252×	`+-lowering-+.f64`
1252×	`+-lowering-+.f32`
1082×	`-lowering-.f32`
1082×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	83
1	66	68
2	174	67
3	429	67
4	1022	67
5	2379	67
0	8130	67

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 471

Calls

Call 1

Inputs
(/ (exp a) 2)
(exp a)
(+ 1/2 (* b -1/4))
(* b -1/4)
(+ 1/2 (* a (+ 1/4 (* a (* a -1/48)))))
(* a (+ 1/4 (* a (* a -1/48))))
(+ 1/4 (* a (* a -1/48)))
(* a (* a -1/48))
(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
(+ 2 (* b (+ 1 (* b 1/2))))
(* b (+ 1 (* b 1/2)))
(+ 1 (* b 1/2))
(* a -1/48)
(* b 1/2)

Outputs
(+.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64)))
(exp.f64 (+.f64 a (log.f64 #s(literal 1/2 binary64))))
(-.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(fma.f64 (exp.f64 a) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 a) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 0 binary64))
(fma.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (exp.f64 a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -2 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) a))
(pow.f64 (E.f64) (+.f64 a (log.f64 #s(literal 1/2 binary64))))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 (exp.f64 a) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 a) (exp.f64 (neg.f64 (log.f64 #s(literal 2 binary64)))))
(*.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 (neg.f64 (log.f64 #s(literal -2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (exp.f64 a))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) a)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -2 binary64))))
(*.f64 (exp.f64 (neg.f64 (log.f64 #s(literal 2 binary64)))) (exp.f64 a))
(*.f64 (exp.f64 (neg.f64 (log.f64 #s(literal -2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(+.f64 (exp.f64 a) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (exp.f64 a))
(exp.f64 a)
(-.f64 (exp.f64 a) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64) #s(literal 0 binary64))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(/.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) a))
(pow.f64 (E.f64) a)
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(+.f64 (*.f64 b #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/4 binary64) b #s(literal 1/2 binary64))
(fma.f64 (*.f64 b #s(literal -1/4 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 b #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) b)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b #s(literal -1/4 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/4 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64))
(*.f64 b #s(literal -1/4 binary64))
(*.f64 #s(literal -1/4 binary64) b)
(.f64 (.f64 b #s(literal -1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 0 binary64) b))
(.f64 #s(literal 1 binary64) (.f64 b #s(literal -1/4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
(.f64 (.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) b)) #s(literal -1 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(+.f64 (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(+.f64 (.f64 a #s(literal 1/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a)))) (.f64 a #s(literal 1/4 binary64)))
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(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
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(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) b))
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(.f64 (.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))

simplify582.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

4322×	`-lowering-.f32`
4322×	`-lowering-.f64`
2394×	`+-lowering-+.f64`
2394×	`+-lowering-+.f32`
2126×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1006
1	381	846
2	1099	841
3	3900	804
0	9243	804

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
(* 1/2 (exp a))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(+ 1/2 (* -1/4 b))
(* -1/4 b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(* -1/4 b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* 1/4 a)
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
(* -1/48 (pow a 2))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* -1/48 a)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(* 1/2 (exp a))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* b (- (* 1/2 (/ 1 b)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* b (- (* 1/2 (/ 1 b)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* a (+ 1/4 (* -1/48 (pow a 2))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(+ 1/4 (* -1/48 (pow a 2)))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
(* -1/48 (pow a 2))
(.f64 #s(literal -1/48 binary64) (.f64 a a))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/16 binary64))))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/16 binary64) (.f64 b #s(literal -1/32 binary64)))))))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 b b)) #s(literal -4 binary64)) b)) (.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (-.f64 (/.f64 #s(literal -32 binary64) (pow.f64 b #s(literal 4 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (.f64 b b))) b) #s(literal -2 binary64))) (.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 b b)) #s(literal -4 binary64)) b)) (.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 b b)) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -32 binary64) (.f64 b (.f64 b b))))) b)) (.f64 b b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal 2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal 2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal 2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(.f64 b (+.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal 2 binary64) b)))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* -1/48 a)
(*.f64 a #s(literal -1/48 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)

eval77.0ms (0.9%)

Compiler: Compiled 8185 to 1453 computations (82.2% saved)

prune80.0ms (0.9%)

Pruning

21 alts after pruning (15 fresh and 6 done)

	Pruned	Kept	Total
New	628	11	639
Fresh	1	4	5
Picked	1	4	5
Done	0	2	2
Total	630	21	651

Accuracy

100.0%

Counts

651 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.7%	(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))
▶	39.7%	(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
✓	65.7%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	13.4%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
	47.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1 binary64) b))))
▶	47.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
	52.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	80.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	37.0%	(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
	37.6%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
✓	37.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	39.5%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
▶	39.6%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
✓	40.2%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
	39.5%	(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
	40.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
	13.3%	(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
	14.2%	(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
▶	3.9%	(*.f64 #s(literal -1/4 binary64) b)
✓	40.0%	#s(literal 1/2 binary64)

Compiler

Compiled 401 to 301 computations (24.9% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))
✓	cost-diff	128	(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))
✓	cost-diff	128	(+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
✓	cost-diff	0	(*.f64 a #s(literal 1/4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
✓	cost-diff	0	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
✓	cost-diff	0	(+.f64 a #s(literal 1 binary64))
✓	cost-diff	0	(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) b)
✓	cost-diff	0	(E.f64)
✓	cost-diff	0	(pow.f64 (E.f64) a)
✓	cost-diff	0	(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))

Rules

146×	`fma-define`
112×	`fma-lowering-fma.f32`
112×	`fma-lowering-fma.f64`
86×	`-lowering-.f32`
86×	`-lowering-.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	94
1	51	84
2	104	83
3	172	83
4	230	83
5	249	83
6	255	83
7	262	83
8	264	83
0	264	83

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (pow (E) a) 2)
(pow (E) a)
(E)
a
2
(* -1/4 b)
-1/4
b
(/ (+ a 1) 2)
(+ a 1)
a
1
2
(+ 1/2 (* a (+ 1/2 (* a 1/4))))
1/2
(* a (+ 1/2 (* a 1/4)))
a
(+ 1/2 (* a 1/4))
(* a 1/4)
1/4
(/ 1 (+ 2 (* b (+ 1 (/ 1/2 (/ 1 b))))))
1
(+ 2 (* b (+ 1 (/ 1/2 (/ 1 b)))))
2
(* b (+ 1 (/ 1/2 (/ 1 b))))
b
(+ 1 (/ 1/2 (/ 1 b)))
(/ 1/2 (/ 1 b))
1/2
(/ 1 b)

Outputs
(/ (pow (E) a) 2)
(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))
(pow (E) a)
(pow.f64 (E.f64) a)
(E)
(E.f64)
a
2
#s(literal 2 binary64)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
-1/4
#s(literal -1/4 binary64)
b
(/ (+ a 1) 2)
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(+ a 1)
(+.f64 a #s(literal 1 binary64))
a
1
#s(literal 1 binary64)
2
#s(literal 2 binary64)
(+ 1/2 (* a (+ 1/2 (* a 1/4))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
1/2
#s(literal 1/2 binary64)
(* a (+ 1/2 (* a 1/4)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
a
(+ 1/2 (* a 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a 1/4)
(*.f64 a #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(/ 1 (+ 2 (* b (+ 1 (/ 1/2 (/ 1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(+ 2 (* b (+ 1 (/ 1/2 (/ 1 b)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
2
#s(literal 2 binary64)
(* b (+ 1 (/ 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
b
(+ 1 (/ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
(/ 1/2 (/ 1 b))
(*.f64 b #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)

localize144.0ms (1.7%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal 1/4 binary64))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
✓	accuracy	100.0%	(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 a #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal -1/4 binary64) b)
✓	accuracy	100.0%	(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))
✓	accuracy	100.0%	(pow.f64 (E.f64) a)
✓	accuracy	99.6%	(E.f64)

Results

113.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 109 to 24 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 9.0ms (29.2% of total)

ival-add: 7.0ms (22.7% of total)

ival-mult: 6.0ms (19.5% of total)

ival-pow: 5.0ms (16.2% of total)

ival-e: 2.0ms (6.5% of total)

const: 1.0ms (3.2% of total)

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

series7.0ms (0.1%)

Counts

15 → 168

Calls

Call 1

Inputs
#<alt (/ (pow (E) a) 2)>
#<alt (pow (E) a)>
#<alt (E)>
#<alt (* -1/4 b)>
#<alt (/ (+ a 1) 2)>
#<alt (+ a 1)>
#<alt (+ 1/2 (* a (+ 1/2 (* a 1/4))))>
#<alt (* a (+ 1/2 (* a 1/4)))>
#<alt (+ 1/2 (* a 1/4))>
#<alt (* a 1/4)>
#<alt (/ 1 (+ 2 (* b (+ 1 (/ 1/2 (/ 1 b))))))>
#<alt (+ 2 (* b (+ 1 (/ 1/2 (/ 1 b)))))>
#<alt (* b (+ 1 (/ 1/2 (/ 1 b))))>
#<alt (+ 1 (/ 1/2 (/ 1 b)))>
#<alt (/ 1/2 (/ 1 b))>

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (* a (log (E)))))>
#<alt (+ 1/2 (* a (+ (* 1/4 (* a (pow (log (E)) 2))) (* 1/2 (log (E))))))>
#<alt (+ 1/2 (* a (+ (* 1/2 (log (E))) (* a (+ (* 1/12 (* a (pow (log (E)) 3))) (* 1/4 (pow (log (E)) 2)))))))>
#<alt (* 1/2 (pow (E) a))>
#<alt (* 1/2 (pow (E) a))>
#<alt (* 1/2 (pow (E) a))>
#<alt (* 1/2 (pow (E) a))>
#<alt (* 1/2 (pow (E) a))>
#<alt (* 1/2 (pow (E) a))>
#<alt (* 1/2 (pow (E) a))>
#<alt (* 1/2 (pow (E) a))>
#<alt 1>
#<alt (+ 1 (* a (log (E))))>
#<alt (+ 1 (* a (+ (log (E)) (* 1/2 (* a (pow (log (E)) 2))))))>
#<alt (+ 1 (* a (+ (log (E)) (* a (+ (* 1/6 (* a (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))>
#<alt (pow (E) a)>
#<alt (pow (E) a)>
#<alt (pow (E) a)>
#<alt (pow (E) a)>
#<alt (pow (E) a)>
#<alt (pow (E) a)>
#<alt (pow (E) a)>
#<alt (pow (E) a)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/2 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/2 (* 1/2 (/ 1 a))))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/2 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/2 (* 1/2 (/ 1 a))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (* 1/4 (pow a 2))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))>
#<alt (* 1/4 (pow a 2))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))>
#<alt (* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (* 1/4 a)))>
#<alt (* a (+ 1/2 (* 1/4 a)))>
#<alt (* a (+ 1/2 (* 1/4 a)))>
#<alt (* 1/4 (pow a 2))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 (pow a 2))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt (* 1/4 a)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(/ (pow (E) a) 2)
0.0ms	a	@	-inf	(/ (pow (E) a) 2)
0.0ms	a	@	inf	(/ (pow (E) a) 2)
0.0ms	a	@	-inf	(+ 1/2 (* a (+ 1/2 (* a 1/4))))
0.0ms	a	@	inf	(* a (+ 1/2 (* a 1/4)))

rewrite281.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2552×	`-lowering-.f32`
2552×	`-lowering-.f64`
1498×	`pow-lowering-pow.f64`
1498×	`pow-lowering-pow.f32`
1326×	`/-lowering-/.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	78
1	106	68
2	389	65
3	1860	64
4	7873	64
0	8280	64

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 616

Calls

Call 1

Inputs
(/ (pow (E) a) 2)
(pow (E) a)
(E)
(* -1/4 b)
(/ (+ a 1) 2)
(+ a 1)
(+ 1/2 (* a (+ 1/2 (* a 1/4))))
(* a (+ 1/2 (* a 1/4)))
(+ 1/2 (* a 1/4))
(* a 1/4)
(/ 1 (+ 2 (* b (+ 1 (/ 1/2 (/ 1 b))))))
(+ 2 (* b (+ 1 (/ 1/2 (/ 1 b)))))
(* b (+ 1 (/ 1/2 (/ 1 b))))
(+ 1 (/ 1/2 (/ 1 b)))
(/ 1/2 (/ 1 b))

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)))))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a)))
(/.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (exp.f64 a)))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -2 binary64))
(/.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -2 binary64))
(pow.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)))) #s(literal -1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 (/.f64 (exp.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1/2 binary64))
(.f64 (exp.f64 (.f64 a #s(literal 2/3 binary64))) (/.f64 (exp.f64 (*.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(.f64 (exp.f64 (.f64 a #s(literal 2/3 binary64))) (neg.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 1/3 binary64))) #s(literal -2 binary64))))
(.f64 (exp.f64 (.f64 a #s(literal 2/3 binary64))) (/.f64 (/.f64 (exp.f64 (*.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 a #s(literal 1/3 binary64))) (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 a #s(literal 2/3 binary64)))))
(.f64 (exp.f64 (.f64 a #s(literal 1/3 binary64))) (/.f64 (exp.f64 (*.f64 a #s(literal 2/3 binary64))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) (neg.f64 (/.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal -2 binary64))))
(*.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) (/.f64 (/.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 a #s(literal 2/3 binary64)))) (/.f64 (exp.f64 (*.f64 a #s(literal 1/3 binary64))) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 a #s(literal 2 binary64)))) (/.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 a #s(literal 2/3 binary64)))) (exp.f64 (.f64 a #s(literal 1/3 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 a #s(literal 2/3 binary64)))) (/.f64 (exp.f64 (.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (exp.f64 (.f64 a #s(literal 1/3 binary64))) #s(literal 2 binary64)) (exp.f64 (*.f64 a #s(literal 2/3 binary64))))
(*.f64 (/.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (exp.f64 (/.f64 a #s(literal 2 binary64))))
(*.f64 (/.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (/.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 a))) #s(literal -1/2 binary64))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (.f64 a #s(literal 2/3 binary64))))) (exp.f64 (*.f64 a #s(literal 1/3 binary64))))
(.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (.f64 a #s(literal 2/3 binary64))))) (exp.f64 (*.f64 a #s(literal 1/3 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (/.f64 a #s(literal 2 binary64))))) (exp.f64 (/.f64 a #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (exp.f64 a))
(exp.f64 a)
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) #s(literal 1 binary64)))
(exp.f64 (.f64 #s(literal 1/3 binary64) (.f64 a #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64))))
(exp.f64 (.f64 #s(literal 3 binary64) (.f64 a #s(literal 1/3 binary64))))
(exp.f64 (.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 a #s(literal 2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 0 binary64) a))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(exp.f64 (+.f64 (.f64 a #s(literal 2/3 binary64)) (.f64 a #s(literal 1/3 binary64))))
(exp.f64 (+.f64 (.f64 a #s(literal 1/3 binary64)) (.f64 a #s(literal 2/3 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) a)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64))
(pow.f64 (E.f64) a)
(pow.f64 (E.f64) (.f64 #s(literal 1/3 binary64) (.f64 a #s(literal 3 binary64))))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 3 binary64) (.f64 a #s(literal 1/3 binary64))))
(pow.f64 (E.f64) (.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 2 binary64))))
(pow.f64 (E.f64) (*.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 (-.f64 #s(literal 0 binary64) a) #s(literal -1 binary64)))
(pow.f64 (E.f64) (+.f64 (/.f64 a #s(literal 2 binary64)) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (E.f64) (/.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (exp.f64 a) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 a #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 (.f64 a #s(literal 3 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 1 binary64) (.f64 a #s(literal 3 binary64))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (*.f64 #s(literal 6 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 9 binary64) (.f64 a #s(literal 1/3 binary64))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (.f64 #s(literal 3/2 binary64) (.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 (*.f64 a #s(literal 2 binary64)) a))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) (+.f64 a (*.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 3 binary64))))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) (/.f64 (*.f64 a #s(literal 3 binary64)) #s(literal 2 binary64)))
(pow.f64 (*.f64 (E.f64) (E.f64)) (/.f64 a #s(literal 2 binary64)))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 #s(literal 1/6 binary64) (*.f64 a #s(literal 3 binary64))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 #s(literal 3/2 binary64) (*.f64 a #s(literal 1/3 binary64))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 2 binary64))))
(pow.f64 (.f64 (E.f64) (E.f64)) (.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 a #s(literal 1/3 binary64)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/3 binary64))))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/6 binary64) (.f64 a #s(literal 2 binary64))))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 (.f64 a #s(literal 1/3 binary64)) #s(literal 1 binary64)))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (.f64 #s(literal 1/9 binary64) (.f64 a #s(literal 3 binary64))))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) (*.f64 #s(literal 2/3 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 a #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 a #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2/3 binary64) (.f64 a #s(literal 3 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 6 binary64) (.f64 a #s(literal 1/3 binary64))))
(pow.f64 (exp.f64 (*.f64 a #s(literal 1/3 binary64))) #s(literal 3 binary64))
(pow.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) (.f64 #s(literal 2 binary64) (.f64 a #s(literal 3 binary64))))
(pow.f64 (.f64 (.f64 (E.f64) (E.f64)) (.f64 (E.f64) (.f64 (E.f64) (.f64 (E.f64) (E.f64))))) (.f64 #s(literal 1/3 binary64) (/.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (.f64 #s(literal 2 binary64) (.f64 a #s(literal 2 binary64))))
(pow.f64 (exp.f64 (-.f64 #s(literal 0 binary64) a)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) (.f64 #s(literal 2 binary64) (.f64 a #s(literal 1/3 binary64))))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (*.f64 (E.f64) (E.f64)))) (/.f64 (/.f64 a #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 (exp.f64 a) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) #s(literal -1 binary64))
(.f64 (exp.f64 (.f64 a #s(literal 2/3 binary64))) (exp.f64 (*.f64 a #s(literal 1/3 binary64))))
(.f64 (exp.f64 (.f64 a #s(literal 2/3 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 a #s(literal 1/3 binary64))))))
(.f64 (exp.f64 (.f64 a #s(literal 2/3 binary64))) (/.f64 (exp.f64 (*.f64 a #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(.f64 (exp.f64 (.f64 a #s(literal 1/3 binary64))) (exp.f64 (*.f64 a #s(literal 2/3 binary64))))
(.f64 (exp.f64 (.f64 a #s(literal 1/3 binary64))) (/.f64 (exp.f64 (*.f64 a #s(literal 2/3 binary64))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) (exp.f64 (/.f64 a #s(literal 2 binary64))))
(*.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (/.f64 a #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 a #s(literal 2 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 a #s(literal 2/3 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 a #s(literal 1/3 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 a #s(literal 2 binary64)))) (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 a #s(literal 2 binary64)))))
(.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 a #s(literal 2/3 binary64))))) (exp.f64 (*.f64 a #s(literal 1/3 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (/.f64 a #s(literal 2 binary64))))) (exp.f64 (/.f64 a #s(literal 2 binary64))))
(E.f64)
(log.f64 (exp.f64 (E.f64)))
(+.f64 (E.f64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 (E.f64) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (+.f64 (E.f64) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (E.f64))
(+.f64 (+.f64 (E.f64) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (log.f64 (exp.f64 (.f64 (E.f64) #s(literal 1/3 binary64)))) (log.f64 (exp.f64 (.f64 #s(literal 2/3 binary64) (E.f64)))))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal 2/3 binary64) (E.f64)))) (log.f64 (exp.f64 (.f64 (E.f64) #s(literal 1/3 binary64)))))
(+.f64 (log.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (E.f64)))) (log.f64 (exp.f64 (.f64 #s(literal 1/2 binary64) (E.f64)))))
(exp.f64 #s(literal 1 binary64))
(fabs.f64 (E.f64))
(fabs.f64 (neg.f64 (E.f64)))
(fabs.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 #s(literal 1/2 binary64)))))
(fabs.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 #s(literal 1/2 binary64))) (exp.f64 #s(literal 1/2 binary64))))
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 (E.f64) #s(literal 1 binary64))))
(-.f64 (+.f64 (E.f64) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 2 binary64) (E.f64)) #s(literal 2 binary64))
(-.f64 (log.f64 (exp.f64 (+.f64 (E.f64) #s(literal 1 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (E.f64) (E.f64)))
(cbrt.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))))
(fma.f64 (+.f64 (E.f64) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (log1p.f64 (E.f64)))
(log1p.f64 (expm1.f64 (E.f64)))
(pow.f64 (E.f64) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (E.f64) (E.f64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (E.f64))) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/6 binary64)) #s(literal 6 binary64))
(pow.f64 (.f64 (.f64 (E.f64) (E.f64)) (.f64 (E.f64) (.f64 (E.f64) (*.f64 (E.f64) (E.f64))))) #s(literal 1/6 binary64))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 3/2 binary64)) #s(literal 2/3 binary64))
(pow.f64 (.f64 (E.f64) (.f64 (E.f64) (*.f64 (E.f64) (E.f64)))) #s(literal 1/4 binary64))
(*.f64 (E.f64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (E.f64))
(*.f64 (exp.f64 #s(literal 1/3 binary64)) (exp.f64 #s(literal 2/3 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (exp.f64 #s(literal 1/3 binary64)))
(*.f64 (exp.f64 #s(literal 2/3 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 1/3 binary64)))))
(*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64)))
(*.f64 (exp.f64 #s(literal 2/9 binary64)) (pow.f64 (exp.f64 #s(literal 1/3 binary64)) #s(literal 7/3 binary64)))
(*.f64 (exp.f64 #s(literal 1/9 binary64)) (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))
(*.f64 (exp.f64 #s(literal 1/9 binary64)) (log.f64 (exp.f64 (pow.f64 (exp.f64 #s(literal 2/3 binary64)) #s(literal 4/3 binary64)))))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (exp.f64 #s(literal 5/6 binary64)))
(*.f64 (exp.f64 #s(literal 1/6 binary64)) (log.f64 (exp.f64 (exp.f64 #s(literal 5/6 binary64)))))
(*.f64 (exp.f64 #s(literal 1/4 binary64)) (pow.f64 (E.f64) #s(literal 3/4 binary64)))
(*.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (exp.f64 (pow.f64 (E.f64) #s(literal 3/4 binary64)))))
(.f64 (.f64 (E.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(.f64 (.f64 (E.f64) #s(literal 1/3 binary64)) #s(literal 3 binary64))
(.f64 (.f64 (E.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (exp.f64 #s(literal 5/6 binary64)) (exp.f64 #s(literal 1/6 binary64)))
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(/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (+.f64 (*.f64 (/.f64 b (/.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal -2 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b))) (/.f64 #s(literal 1 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal -1 binary64) (*.f64 b b)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (neg.f64 (-.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 2 binary64) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal 2 binary64) b))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) b))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))) (/.f64 #s(literal 2 binary64) (.f64 b b)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b))) (/.f64 #s(literal -1 binary64) (.f64 b b)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal -2 binary64) (.f64 b b)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal -2 binary64) b))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)))) (/.f64 #s(literal -1 binary64) b))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (.f64 b b)))
(/.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (.f64 b b)))
(/.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b b)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) b)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (.f64 b b)))
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 2 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 2 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) b))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 1 binary64) b)) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) b))
(/.f64 (/.f64 (-.f64 #s(literal -2 binary64) b) (/.f64 #s(literal -1 binary64) b)) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1 binary64) b)) #s(literal -2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) b)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(*.f64 b (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 b (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)))))
(*.f64 b (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))) b)
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 b (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 b #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b)) (.f64 b (/.f64 b #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 b (/.f64 #s(literal -1 binary64) b)))
(.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)) (.f64 b b))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) b)) (/.f64 b (/.f64 #s(literal -2 binary64) b)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))) (-.f64 #s(literal 0 binary64) b))
(*.f64 (-.f64 #s(literal -2 binary64) b) (/.f64 b #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))) #s(literal 1 binary64)) b)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)))) b)
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) b) #s(literal 1 binary64)) (/.f64 b #s(literal -2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) b) (/.f64 #s(literal 1 binary64) b)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) b) #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) b) (/.f64 #s(literal -1 binary64) b)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) #s(literal 2 binary64)) b)
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) #s(literal 1 binary64)) (/.f64 b #s(literal 2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 1 binary64) b)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) #s(literal -1 binary64)) (/.f64 b #s(literal -2 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -1 binary64) b)) #s(literal -1/2 binary64))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) b))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64))) #s(literal -1 binary64)) b)
(+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(+.f64 (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 b #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 b #s(literal -2 binary64)) #s(literal 1 binary64)))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 b (/.f64 #s(literal 1 binary64) b) (/.f64 b #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal -1 binary64) b) (/.f64 b #s(literal 2 binary64)))
(fma.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)))
(+.f64 #s(literal 0 binary64) (/.f64 b #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 2 binary64) b))))
(-.f64 #s(literal 0 binary64) (/.f64 b #s(literal -2 binary64)))
(neg.f64 (/.f64 b #s(literal -2 binary64)))
(/.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) b))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -2 binary64))
(/.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) b) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) b))) #s(literal -1 binary64))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) b))
(*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/2 binary64))
(*.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -1 binary64))

simplify211.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

3152×	`-lowering-.f32`
3152×	`-lowering-.f64`
2270×	`/-lowering-/.f32`
2270×	`/-lowering-/.f64`
1290×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	128	945
1	426	735
2	1037	734
3	2858	734
4	7459	734
0	8172	734

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
1/2
(+ 1/2 (* 1/2 (* a (log (E)))))
(+ 1/2 (* a (+ (* 1/4 (* a (pow (log (E)) 2))) (* 1/2 (log (E))))))
(+ 1/2 (* a (+ (* 1/2 (log (E))) (* a (+ (* 1/12 (* a (pow (log (E)) 3))) (* 1/4 (pow (log (E)) 2)))))))
(* 1/2 (pow (E) a))
(* 1/2 (pow (E) a))
(* 1/2 (pow (E) a))
(* 1/2 (pow (E) a))
(* 1/2 (pow (E) a))
(* 1/2 (pow (E) a))
(* 1/2 (pow (E) a))
(* 1/2 (pow (E) a))
1
(+ 1 (* a (log (E))))
(+ 1 (* a (+ (log (E)) (* 1/2 (* a (pow (log (E)) 2))))))
(+ 1 (* a (+ (log (E)) (* a (+ (* 1/6 (* a (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(pow (E) a)
(pow (E) a)
(pow (E) a)
(pow (E) a)
(pow (E) a)
(pow (E) a)
(pow (E) a)
(pow (E) a)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
(* -1/4 b)
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* 1/2 a))
(+ 1/2 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(* 1/2 a)
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(* a (+ 1/2 (* 1/2 (/ 1 a))))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
1/2
(+ 1/2 (* 1/2 a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(* 1/4 (pow a 2))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(* 1/4 (pow a 2))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(* 1/2 a)
(* a (+ 1/2 (* 1/4 a)))
(* a (+ 1/2 (* 1/4 a)))
(* a (+ 1/2 (* 1/4 a)))
(* 1/4 (pow a 2))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 (pow a 2))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
(* 1/4 a)
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* 1/2 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* 1/2 (pow b 2))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
1
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(+ 1 (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (/ 1 b)))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)

Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 (* a (log (E)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* a (+ (* 1/4 (* a (pow (log (E)) 2))) (* 1/2 (log (E))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+ 1/2 (* a (+ (* 1/2 (log (E))) (* a (+ (* 1/12 (* a (pow (log (E)) 3))) (* 1/4 (pow (log (E)) 2)))))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(* 1/2 (pow (E) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) a))
(* 1/2 (pow (E) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) a))
(* 1/2 (pow (E) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) a))
(* 1/2 (pow (E) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) a))
(* 1/2 (pow (E) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) a))
(* 1/2 (pow (E) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) a))
(* 1/2 (pow (E) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) a))
(* 1/2 (pow (E) a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) a))
1
#s(literal 1 binary64)
(+ 1 (* a (log (E))))
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ (log (E)) (* 1/2 (* a (pow (log (E)) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+ 1 (* a (+ (log (E)) (* a (+ (* 1/6 (* a (pow (log (E)) 3))) (* 1/2 (pow (log (E)) 2)))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(pow (E) a)
(pow.f64 (E.f64) a)
(pow (E) a)
(pow.f64 (E.f64) a)
(pow (E) a)
(pow.f64 (E.f64) a)
(pow (E) a)
(pow.f64 (E.f64) a)
(pow (E) a)
(pow.f64 (E.f64) a)
(pow (E) a)
(pow.f64 (E.f64) a)
(pow (E) a)
(pow.f64 (E.f64) a)
(pow (E) a)
(pow.f64 (E.f64) a)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
(* -1/4 b)
(*.f64 #s(literal -1/4 binary64) b)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(* a (+ 1/2 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) a))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+ 1/2 (* a (+ 1/2 (* 1/4 a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(* 1/4 (pow a 2))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(* 1/4 (pow a 2))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(* (pow a 2) (+ 1/4 (+ (/ 1/2 (pow a 2)) (* 1/2 (/ 1 a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(* 1/2 a)
(*.f64 #s(literal 1/2 binary64) a)
(* a (+ 1/2 (* 1/4 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* a (+ 1/2 (* 1/4 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* a (+ 1/2 (* 1/4 a)))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* 1/4 (pow a 2))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* 1/4 (pow a 2))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
(* (pow a 2) (+ 1/4 (* 1/2 (/ 1 a))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+ 1/2 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
(* 1/4 a)
(*.f64 a #s(literal 1/4 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/16 binary64))))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/16 binary64) (.f64 b #s(literal -1/32 binary64)))))))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 b b)) #s(literal -4 binary64)) b)) (.f64 b b))
(/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 b b)) #s(literal -4 binary64)) b) (/.f64 #s(literal -32 binary64) (pow.f64 b #s(literal 4 binary64))))) (.f64 b b))
(/ 2 (pow b 2))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) (.f64 b b)) #s(literal -4 binary64)) b)) (.f64 b b))
(/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -16 binary64) (.f64 b b))) (/.f64 #s(literal 32 binary64) (.f64 b (.f64 b b)))) b)) (.f64 b b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* 1/2 (pow b 2))
(.f64 #s(literal 1/2 binary64) (.f64 b b))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* (pow b 2) (+ 1/2 (/ 1 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ 1 b)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)

eval90.0ms (1.1%)

Compiler: Compiled 8480 to 1959 computations (76.9% saved)

prune101.0ms (1.2%)

Pruning

26 alts after pruning (15 fresh and 11 done)

	Pruned	Kept	Total
New	777	7	784
Fresh	2	8	10
Picked	0	5	5
Done	0	6	6
Total	779	26	805

Accuracy

100.0%

Counts

805 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.7%	(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))
✓	39.7%	(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
✓	65.7%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	3.7%	(/.f64 a #s(literal 2 binary64))
	13.4%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
	47.5%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)))
	47.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))))
✓	47.5%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
	52.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	80.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	3.9%	(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
	39.6%	(-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal 2 binary64))))
	37.0%	(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
	37.6%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
✓	37.7%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	39.5%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
✓	39.6%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
✓	40.2%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
	39.6%	(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
	40.3%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
	13.3%	(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
	10.6%	(.f64 a (.f64 a #s(literal 1/4 binary64)))
	14.2%	(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
✓	3.9%	(*.f64 #s(literal -1/4 binary64) b)
✓	40.0%	#s(literal 1/2 binary64)

Compiler

Compiled 628 to 344 computations (45.2% saved)

regimes51.0ms (0.6%)

Counts

34 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
(-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (.f64 b (-.f64 (neg.f64 (.f64 (+.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64))) (.f64 b (-.f64 (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/6 binary64))) (.f64 (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))) b)) (/.f64 (exp.f64 a) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))))))

Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))

Calls

5 calls:

14.0ms	b
10.0ms	a
9.0ms	(exp.f64 a)
8.0ms	(exp.f64 b)
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
100.0%	1	`(exp.f64 a)`
100.0%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes40.0ms (0.5%)

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
(-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))

Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))

Calls

4 calls:

12.0ms	a
10.0ms	(exp.f64 b)
9.0ms	b
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
100.0%	1	`a`
100.0%	1	`b`
100.0%	1	`(exp.f64 a)`
100.0%	1	`(exp.f64 b)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes40.0ms (0.5%)

Counts

29 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
(-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Outputs
(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Calls

4 calls:

9.0ms	(exp.f64 a)
9.0ms	a
9.0ms	b
7.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
98.7%	2	`a`
98.6%	3	`b`
98.7%	2	`(exp.f64 a)`
98.6%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes28.0ms (0.3%)

Counts

28 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
(-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64))

Outputs

(/.f64 (exp.f64 a) #s(literal 2 binary64))

(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))

(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))

Calls

3 calls:

11.0ms	b
9.0ms	a
7.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
77.5%	3	`b`
73.1%	2	`a`
73.1%	2	`(exp.f64 a)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes20.0ms (0.2%)

Counts

26 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
(-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1 binary64) b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 (.f64 a (*.f64 a a)) (-.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))

Outputs

(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))

(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))

(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))

Calls

2 calls:

10.0ms	a
8.0ms	b

Results

Accuracy	Segments	Branch
52.2%	1	`a`
59.4%	3	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

23 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
(-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) b) (/.f64 #s(literal 2 binary64) b)) #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (*.f64 a #s(literal 1/12 binary64)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) b)) (/.f64 #s(literal -1 binary64) b))))

Outputs

(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))

(*.f64 #s(literal -1/48 binary64) (*.f64 a (*.f64 a a)))

(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
56.9%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(-.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 b b) #s(literal -1/48 binary64)))))
(-.f64 (.f64 a (.f64 a #s(literal 1/4 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 a #s(literal 2 binary64))))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
56.9%	3	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))

Calls

2 calls:

6.0ms	b
4.0ms	a

Results

Accuracy	Segments	Branch
43.5%	2	`a`
54.3%	3	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

8 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))

Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(.f64 a (.f64 a #s(literal 1/4 binary64)))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
47.4%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))
(.f64 a (.f64 a #s(literal 1/4 binary64)))

Outputs
#s(literal 1/2 binary64)
(.f64 a (.f64 a #s(literal 1/4 binary64)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
47.0%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -23.9b remaining (-62.3%)

Threshold costs -23.9b (-62.3%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(/.f64 a #s(literal 2 binary64))

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

5.0ms	a
2.0ms	b

Results

Accuracy	Segments	Branch
40.0%	1	`a`
40.0%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.763461814668481e-33	0.9998041851820867

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch32.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.900176509494324e+99	7.93671795764319e+106
14.0ms	0.6615490913469657	785960.5123583499

Results

20.0ms

288×

valid

Compiler

Compiled 420 to 316 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 6.0ms (57.2% of total)

ival-div: 2.0ms (19.1% of total)

ival-add: 2.0ms (19.1% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	4.900176509494324e+99	7.93671795764319e+106
14.0ms	0.6615490913469657	785960.5123583499

Results

20.0ms

288×

valid

Compiler

Compiled 429 to 325 computations (24.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-exp: 7.0ms (62.2% of total)

ival-div: 2.0ms (17.8% of total)

ival-add: 2.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	3.3060115602438966e+141	5.297074892708602e+145
17.0ms	0.6615490913469657	785960.5123583499

Results

16.0ms

272×

valid

Compiler

Compiled 369 to 280 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (52.4% of total)

ival-div: 2.0ms (26.2% of total)

ival-add: 2.0ms (26.2% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.3060115602438966e+141	5.297074892708602e+145
18.0ms	0.6615490913469657	785960.5123583499

Results

22.0ms

272×

valid

Compiler

Compiled 321 to 240 computations (25.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 10.0ms (74.2% of total)

ival-div: 2.0ms (14.8% of total)

ival-add: 2.0ms (14.8% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.3060115602438966e+141	5.297074892708602e+145
14.0ms	0.6615490913469657	785960.5123583499

Results

16.0ms

272×

valid

Compiler

Compiled 287 to 223 computations (22.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-exp: 4.0ms (51.9% of total)

ival-div: 2.0ms (25.9% of total)

ival-add: 1.0ms (13% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	0.6615490913469657	785960.5123583499

Results

12.0ms

144×

valid

Compiler

Compiled 159 to 127 computations (20.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (46% of total)

ival-div: 1.0ms (23% of total)

ival-add: 1.0ms (23% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	0.6615490913469657	785960.5123583499

Results

14.0ms

144×

valid

Compiler

Compiled 123 to 100 computations (18.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-exp: 2.0ms (47.2% of total)

ival-div: 1.0ms (23.6% of total)

ival-add: 1.0ms (23.6% of total)

const: 0.0ms (0% of total)

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

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`*-commutative_binary64`
22×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-mul-1_binary64`
2×	`sub0-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	204
1	99	204
2	105	204
3	108	204
4	109	204

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 7307508186654515/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 1400 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 370 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 380 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 52000000000000000541595059119653763690646666211320547889510910566898202543565174619889909715829925534732388868924791511593454744483391284575207424 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal 460 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 52000000000000000541595059119653763690646666211320547889510910566898202543565174619889909715829925534732388868924791511593454744483391284575207424 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 300 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 52000000000000000541595059119653763690646666211320547889510910566898202543565174619889909715829925534732388868924791511593454744483391284575207424 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 b b))))
(if (<=.f64 b #s(literal 300 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (.f64 a (*.f64 a #s(literal 1/4 binary64))))
(if (<=.f64 b #s(literal 245 binary64)) #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
#s(literal 1/2 binary64)

Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 a) #s(literal 7307508186654515/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (pow.f64 (E.f64) a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 1400 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 370 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 10199999999999999144250989793269130915929985559700279936955770445581686411664085978843893938044698361856 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))
(if (<=.f64 b #s(literal 380 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 52000000000000000541595059119653763690646666211320547889510910566898202543565174619889909715829925534732388868924791511593454744483391284575207424 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))))
(if (<=.f64 b #s(literal 460 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 52000000000000000541595059119653763690646666211320547889510910566898202543565174619889909715829925534732388868924791511593454744483391284575207424 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 300 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 52000000000000000541595059119653763690646666211320547889510910566898202543565174619889909715829925534732388868924791511593454744483391284575207424 binary64)) (.f64 a (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 b b))))
(if (<=.f64 b #s(literal 300 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (.f64 a (*.f64 a #s(literal 1/4 binary64))))
(if (<=.f64 b #s(literal 245 binary64)) #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal 1/4 binary64))))
#s(literal 1/2 binary64)

soundness2.1s (24.7%)

Rules

4852×	`-lowering-.f32`
4852×	`-lowering-.f64`
4322×	`-lowering-.f32`
4322×	`-lowering-.f64`
3640×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	573	8275
1	1967	7386
2	7461	7347
0	8072	7347
0	131	1006
1	381	846
2	1099	841
3	3900	804
0	9243	804
0	120	714
1	360	655
2	1227	637
3	5176	633
0	8594	633
0	6	17
1	15	17
2	55	17
3	218	17
4	794	14
5	3400	14
0	8184	14
0	128	945
1	426	735
2	1037	734
3	2858	734
4	7459	734
0	8172	734
0	22	83
1	66	68
2	174	67
3	429	67
4	1022	67
5	2379	67
0	8130	67

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 689 to 433 computations (37.2% saved)

preprocess67.0ms (0.8%)

Compiler: Compiled 454 to 174 computations (61.7% saved)

analyze14.0ms (0.2%)

sample932.0ms (11%)

preprocess123.0ms (1.5%)

explain78.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0%)

localize30.0ms (0.4%)

series7.0ms (0.1%)

rewrite221.0ms (2.6%)

simplify240.0ms (2.8%)

eval43.0ms (0.5%)

prune58.0ms (0.7%)

simplify183.0ms (2.2%)

localize901.0ms (10.7%)

series213.0ms (2.5%)

rewrite298.0ms (3.5%)

simplify387.0ms (4.6%)

eval141.0ms (1.7%)

prune82.0ms (1%)

simplify11.0ms (0.1%)

localize126.0ms (1.5%)

series11.0ms (0.1%)

rewrite178.0ms (2.1%)

simplify582.0ms (6.9%)

eval77.0ms (0.9%)

prune80.0ms (0.9%)

simplify13.0ms (0.2%)

localize144.0ms (1.7%)

series7.0ms (0.1%)

rewrite281.0ms (3.3%)

simplify211.0ms (2.5%)

eval90.0ms (1.1%)

prune101.0ms (1.2%)

regimes51.0ms (0.6%)

regimes40.0ms (0.5%)

regimes40.0ms (0.5%)

regimes28.0ms (0.3%)

regimes20.0ms (0.2%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes7.0ms (0.1%)

bsearch0.0ms (0%)

bsearch32.0ms (0.4%)

bsearch33.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch34.0ms (0.4%)

bsearch30.0ms (0.4%)

bsearch18.0ms (0.2%)

bsearch19.0ms (0.2%)

simplify11.0ms (0.1%)

soundness2.1s (24.7%)

preprocess67.0ms (0.8%)

end0.0ms (0%)

Profiling