Metrics for Quotient of sum of exps

analyze12.0ms (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: 3.0ms

ival-exp: 2.0ms (60.4% of total)

ival-add: 1.0ms (30.2% of total)

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

const: 0.0ms (0% of total)

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

sample1.1s (15.1%)

Results

711.0ms	8256×	0	valid
160.0ms	2968×	0	unsamplable

Precisions

Click to see histograms. Total time spent on operations: 321.0ms

ival-exp: 156.0ms (48.6% of total)

ival-div: 80.0ms (24.9% of total)

ival-add: 71.0ms (22.1% of total)

const: 10.0ms (3.1% of total)

backward-pass: 4.0ms (1.2% of total)

Bogosity

preprocess128.0ms (1.7%)

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))))

explain90.0ms (1.2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(/.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

40.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-exp: 7.0ms (32.6% of total)

ival-add: 6.0ms (28% of total)

backward-pass: 5.0ms (23.3% of total)

ival-div: 4.0ms (18.7% of total)

const: 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
▶	98.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify5.0ms (0.1%)

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

localize24.0ms (0.3%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	98.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

16.0ms

256×

valid

Compiler

Compiled 22 to 7 computations (68.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 3.0ms (42.6% of total)

ival-div: 2.0ms (28.4% of total)

ival-add: 2.0ms (28.4% of total)

const: 0.0ms (0% of total)

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

series28.0ms (0.4%)

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
23.0ms	a	@	-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)))

rewrite287.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2620×	`-lowering-.f32`
2620×	`-lowering-.f64`
2426×	`/-lowering-/.f32`
2426×	`/-lowering-/.f64`
2028×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	28	17
2	217	17
3	2159	17
0	8660	17

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 277

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (.f64 a #s(literal 2 binary64)))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))
(+.f64 (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (.f64 a #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 a)) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 b))))
(+.f64 (.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(+.f64 (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))) (.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))))))
(+.f64 (.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(exp.f64 (+.f64 a (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) a))
(exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64)) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 b)) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))
(fma.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (exp.f64 (*.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 a) (.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (exp.f64 b))))
(neg.f64 (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (-.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (-.f64 #s(literal 0 binary64) (exp.f64 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) (+.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a))))
(/.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 a))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(/.f64 (.f64 (exp.f64 a) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (*.f64 a #s(literal 2 binary64))))))))
(/.f64 (.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b)))))
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(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) #s(literal 1 binary64))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (/.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (-.f64 (exp.f64 a) (exp.f64 b))))))
(/.f64 (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))) (neg.f64 (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(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 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 b) (exp.f64 a)) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.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) (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) #s(literal 1 binary64)))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))
(.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.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 b)))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (+.f64 (exp.f64 a) (exp.f64 b)))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (exp.f64 (.f64 a #s(literal 2 binary64)))))))
(.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) #s(literal 2 binary64)))) (+.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))) (exp.f64 (+.f64 a b))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b))))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (+.f64 (exp.f64 (.f64 b #s(literal 4 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))))))
(.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (.f64 b #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (*.f64 a #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 b) (exp.f64 a))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (+.f64 (exp.f64 (.f64 a #s(literal 9 binary64))) (exp.f64 (.f64 b #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 6 binary64))) (exp.f64 (.f64 (+.f64 a b) #s(literal 3 binary64)))))))
(.f64 (pow.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 b #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64))))))
(exp.f64 b)
(exp.f64 (*.f64 b #s(literal 1 binary64)))
(pow.f64 (exp.f64 b) #s(literal 1 binary64))

simplify225.0ms (3%)

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

eval38.0ms (0.5%)

Compiler: Compiled 9352 to 1016 computations (89.1% saved)

prune103.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	368	5	373
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	369	5	374

Accuracy

100.0%

Counts

374 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	46.8%	(/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
▶	63.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	98.4%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
▶	82.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	61.0%	(-.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))))

Compiler

Compiled 142 to 86 computations (39.4% saved)

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	12864	(-.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))))
✓	cost-diff	0	(*.f64 a #s(literal 2 binary64))
✓	cost-diff	0	(exp.f64 (*.f64 a #s(literal 2 binary64)))
✓	cost-diff	0	(-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))
✓	cost-diff	7040	(/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #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	(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 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	0	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))

Rules

2514×	`-lowering-.f32`
2514×	`-lowering-.f64`
1476×	`sum5-define`
1320×	`sum3-define`
1240×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	165
1	57	157
2	129	154
3	306	154
4	888	153
5	3452	153
0	8293	153

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize313.0ms (4.2%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 b (exp.f64 a))
✓	accuracy	100.0%	(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))
✓	accuracy	99.6%	(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(exp.f64 (*.f64 a #s(literal 2 binary64)))
✓	accuracy	97.7%	(/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
✓	accuracy	71.8%	(-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))
✓	accuracy	71.8%	(-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b)))
✓	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 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
✓	accuracy	99.2%	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

Results

135.0ms	60×	5	exit
82.0ms	72×	1	valid
20.0ms	56×	0	unsamplable
18.0ms	61×	0	valid
9.0ms	7×	2	valid

Compiler

Compiled 180 to 29 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 175.0ms

ival-div: 62.0ms (35.4% of total)

backward-pass: 30.0ms (17.1% of total)

ival-exp: 28.0ms (16% of total)

ival-mult: 18.0ms (10.3% of total)

ival-add: 18.0ms (10.3% of total)

ival-sub: 9.0ms (5.1% of total)

ival-pow: 8.0ms (4.6% of total)

const: 1.0ms (0.6% of total)

series34.0ms (0.5%)

Counts

20 → 348

Calls

Call 1

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

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 (exp b))>
#<alt (+ 1 (+ (exp b) (* -1 (* a (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ 1 (exp a)) (exp a))>
#<alt (+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))>
#<alt (+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (exp a))>
#<alt (/ (+ (exp a) (exp b)) (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 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 (* b (- (* 1/48 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (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)>
#<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 (* (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)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (/ (- 1 (exp b)) (- 1 (exp (* 2 b))))>
#<alt (- (+ (* a (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))>
#<alt (- (+ (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))>
#<alt (- (+ (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (* 4/3 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/6 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 4/3 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (+ (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))) (- 1 (exp (* 2 b))))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b))))))))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))>
#<alt (/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (- b (* -1 a)))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (- b (* -1 a)))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (- b (* -1 a)))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (- b (* -1 a)))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp a)) (- (exp (* 2 a)) 1))>
#<alt (- (+ (* b (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))>
#<alt (- (+ (* b (- (+ (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))>
#<alt (- (+ (* b (- (+ (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (+ (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (* -1/6 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))) (- (exp (* 2 a)) 1))) (* -4/3 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))))))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))>
#<alt (/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (* 2 b))))>
#<alt (- 1 (exp b))>
#<alt (- (+ 1 (* a (- 2 (exp b)))) (exp b))>
#<alt (- (+ 1 (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b)))) (exp b))>
#<alt (- (+ 1 (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b)))) (exp b))>
#<alt (- (exp (* 2 a)) (exp (+ a b)))>
#<alt (- (exp (* 2 a)) (exp (+ a b)))>
#<alt (- (exp (* 2 a)) (exp (+ a b)))>
#<alt (- (exp (* 2 a)) (exp (+ a b)))>
#<alt (- (exp (* 2 a)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 a)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 a)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 a)) (exp (- b (* -1 a))))>
#<alt (- (exp (* 2 a)) (exp a))>
#<alt (- (+ (exp (* 2 a)) (* -1 (* b (exp a)))) (exp a))>
#<alt (- (+ (exp (* 2 a)) (* b (- (* -1/2 (* b (exp a))) (exp a)))) (exp a))>
#<alt (- (+ (exp (* 2 a)) (* b (- (* b (- (* -1/6 (* b (exp a))) (* 1/2 (exp a)))) (exp a)))) (exp a))>
#<alt (- (exp (* 2 a)) (exp (+ a b)))>
#<alt (- (exp (* 2 a)) (exp (+ a b)))>
#<alt (- (exp (* 2 a)) (exp (+ a b)))>
#<alt (- (exp (* 2 a)) (exp (+ a b)))>
#<alt (- (exp (* 2 a)) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 a)) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 a)) (exp (- a (* -1 b))))>
#<alt (- (exp (* 2 a)) (exp (- a (* -1 b))))>
#<alt 1>
#<alt (+ 1 (* 2 a))>
#<alt (+ 1 (* a (+ 2 (* 2 a))))>
#<alt (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))>
#<alt (exp (* 2 a))>
#<alt (exp (* 2 a))>
#<alt (exp (* 2 a))>
#<alt (exp (* 2 a))>
#<alt (exp (* 2 a))>
#<alt (exp (* 2 a))>
#<alt (exp (* 2 a))>
#<alt (exp (* 2 a))>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (* 2 a)>
#<alt (- 1/2 (* 1/4 b))>
#<alt (- (+ 1/2 (* 1/4 a)) (* 1/4 b))>
#<alt (- (+ 1/2 (* a (+ 1/4 (* a (- (* 3/16 b) (* 1/8 b)))))) (* 1/4 b))>
#<alt (- (+ 1/2 (* a (+ 1/4 (* a (- (+ (* 3/16 b) (* a (- (+ (* 5/48 b) (* 1/8 b)) (+ 1/48 (+ (* 1/24 b) (* 3/16 b)))))) (* 1/8 b)))))) (* 1/4 b))>
#<alt (- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))>
#<alt (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))>
#<alt (* b (- (/ (exp a) (* b (+ 1 (exp a)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))>
#<alt (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))>
#<alt (* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))>
#<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 (* (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)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (- 1 (exp (* 2 b)))>
#<alt (- (+ 1 (* 2 a)) (exp (* 2 b)))>
#<alt (- (+ 1 (* a (+ 2 (* 2 a)))) (exp (* 2 b)))>
#<alt (- (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (+ (exp (* 2 a)) (* -2 b)) 1)>
#<alt (- (+ (exp (* 2 a)) (* b (- (* -2 b) 2))) 1)>
#<alt (- (+ (exp (* 2 a)) (* b (- (* b (- (* -4/3 b) 2)) 2))) 1)>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (- (exp (* 2 a)) (exp (* 2 b)))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (* 1/4 b)>
#<alt (+ (* 1/4 b) (* (pow a 2) (- (* 1/8 b) (* 3/16 b))))>
#<alt (+ (* 1/4 b) (* (pow a 2) (- (+ (* 1/8 b) (* a (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b))))) (* 3/16 b))))>
#<alt (+ (* 1/4 b) (* (pow a 2) (- (+ (* 1/8 b) (* a (- (+ (* 1/24 b) (+ (* 3/16 b) (* a (- (+ (* 1/96 b) (+ (* 5/48 b) (* 1/8 b))) (+ (* 1/24 b) (+ (* 3/64 b) (+ (* 3/16 b) (* 3/4 (- (* 1/8 b) (* 3/16 b)))))))))) (+ (* 5/48 b) (* 1/8 b))))) (* 3/16 b))))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))>
#<alt 4>
#<alt (+ 4 (* 4 a))>
#<alt (+ 4 (* a (+ 4 (* 3 a))))>
#<alt (+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (pow (+ 1 (exp a)) 2)>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt b>
#<alt (+ b (* a b))>
#<alt (+ b (* a (+ b (* 1/2 (* a b)))))>
#<alt (+ b (* a (+ b (* a (+ (* 1/6 (* a b)) (* 1/2 b))))))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>
#<alt (* b (exp a))>

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
4.0ms	b	@	inf	(/ (- (exp (* a 2)) (exp (+ a b))) (- (exp (* a 2)) (exp (* b 2))))
3.0ms	a	@	0	(/ (- (exp (* a 2)) (exp (+ a b))) (- (exp (* a 2)) (exp (* b 2))))
2.0ms	b	@	0	(/ (- (exp (* a 2)) (exp (+ a b))) (- (exp (* a 2)) (exp (* b 2))))
1.0ms	a	@	-inf	(/ (+ (exp a) (exp b)) (exp a))

rewrite400.0ms (5.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4176×	`-lowering-.f32`
4176×	`-lowering-.f64`
2438×	`/-lowering-/.f32`
2438×	`/-lowering-/.f64`
1638×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	131
1	196	122
2	1881	118
0	8555	118

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 685

Calls

Call 1

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

Outputs
(+.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 a)))) (fma.f64 (neg.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (exp.f64 a) (.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 a))))
(+.f64 (fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 (+.f64 a b))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (exp.f64 (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 (+.f64 a b)))))
(+.f64 (fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))))))
(+.f64 (fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))))))
(+.f64 (fma.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 a)))) (fma.f64 (neg.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (exp.f64 a) (.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (exp.f64 a))))
(+.f64 (fma.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 (+.f64 a b))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (exp.f64 (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (exp.f64 (+.f64 a b)))))
(+.f64 (fma.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))))))
(+.f64 (fma.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 a)))) (fma.f64 (neg.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (exp.f64 a) (.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 a))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 (+.f64 a b))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (exp.f64 (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 (+.f64 a b)))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (*.f64 b #s(literal 6 binary64))))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 a)))) (fma.f64 (neg.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (exp.f64 a) (.f64 (/.f64 (exp.f64 b) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (exp.f64 a))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (exp.f64 (+.f64 a b))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))))) (exp.f64 (+.f64 a b)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))) (exp.f64 (+.f64 a b)))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))) (.f64 (+.f64 (+.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))) (exp.f64 (.f64 (+.f64 a b) #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 6 binary64))) (exp.f64 (.f64 b #s(literal 6 binary64))))))))
(+.f64 (fma.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64)))))))) (fma.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (.f64 b #s(literal 4 binary64))))) (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64)))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64))))))))
(exp.f64 (*.f64 (-.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) a) #s(literal -1 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))) (/.f64 (exp.f64 (+.f64 a b)) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64))))))
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(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 a)) #s(literal 2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)))
(*.f64 (exp.f64 a) b)
(*.f64 b (exp.f64 a))

simplify297.0ms (4%)

Algorithm

1×	egg-herbie

Rules

3244×	`+-lowering-+.f64`
3244×	`+-lowering-+.f32`
3202×	`-lowering-.f32`
3202×	`-lowering-.f64`
1602×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	470	4062
1	1507	3785
2	5022	3575
0	8249	3575

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

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 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (- (* a (- 1/2 (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(+ 1 (+ (exp b) (* a (- (* a (- (+ 1/2 (* a (- (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))) (+ 1/3 (+ (* -1/2 (exp b)) (* 1/6 (+ 1 (exp b)))))))) (+ (* -1 (exp b)) (* 1/2 (+ 1 (exp b)))))) (exp b)))))
(/ (+ (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)) (exp a))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (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 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 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 (* 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)
1/2
(+ 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)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(/ (- 1 (exp b)) (- 1 (exp (* 2 b))))
(- (+ (* a (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))
(- (+ (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))
(- (+ (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (* 4/3 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/6 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 4/3 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (+ (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))) (- 1 (exp (* 2 b))))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b))))))))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- b (* -1 a)))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- b (* -1 a)))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- b (* -1 a)))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- b (* -1 a)))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp a)) (- (exp (* 2 a)) 1))
(- (+ (* b (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))
(- (+ (* b (- (+ (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))
(- (+ (* b (- (+ (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (+ (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (* -1/6 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))) (- (exp (* 2 a)) 1))) (* -4/3 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))))))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (* 2 b))))
(- 1 (exp b))
(- (+ 1 (* a (- 2 (exp b)))) (exp b))
(- (+ 1 (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b)))) (exp b))
(- (+ 1 (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b)))) (exp b))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (- b (* -1 a))))
(- (exp (* 2 a)) (exp (- b (* -1 a))))
(- (exp (* 2 a)) (exp (- b (* -1 a))))
(- (exp (* 2 a)) (exp (- b (* -1 a))))
(- (exp (* 2 a)) (exp a))
(- (+ (exp (* 2 a)) (* -1 (* b (exp a)))) (exp a))
(- (+ (exp (* 2 a)) (* b (- (* -1/2 (* b (exp a))) (exp a)))) (exp a))
(- (+ (exp (* 2 a)) (* b (- (* b (- (* -1/6 (* b (exp a))) (* 1/2 (exp a)))) (exp a)))) (exp a))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
1
(+ 1 (* 2 a))
(+ 1 (* a (+ 2 (* 2 a))))
(+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))
(exp (* 2 a))
(exp (* 2 a))
(exp (* 2 a))
(exp (* 2 a))
(exp (* 2 a))
(exp (* 2 a))
(exp (* 2 a))
(exp (* 2 a))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(- 1/2 (* 1/4 b))
(- (+ 1/2 (* 1/4 a)) (* 1/4 b))
(- (+ 1/2 (* a (+ 1/4 (* a (- (* 3/16 b) (* 1/8 b)))))) (* 1/4 b))
(- (+ 1/2 (* a (+ 1/4 (* a (- (+ (* 3/16 b) (* a (- (+ (* 5/48 b) (* 1/8 b)) (+ 1/48 (+ (* 1/24 b) (* 3/16 b)))))) (* 1/8 b)))))) (* 1/4 b))
(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(/ (exp a) (+ 1 (exp a)))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* b (- (/ (exp a) (* b (+ 1 (exp a)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(* b (- (/ (exp a) (* b (+ 1 (exp a)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(* b (- (/ (exp a) (* b (+ 1 (exp a)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
(* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))
(* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))
(* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))
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)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(- 1 (exp (* 2 b)))
(- (+ 1 (* 2 a)) (exp (* 2 b)))
(- (+ 1 (* a (+ 2 (* 2 a)))) (exp (* 2 b)))
(- (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) 1)
(- (+ (exp (* 2 a)) (* -2 b)) 1)
(- (+ (exp (* 2 a)) (* b (- (* -2 b) 2))) 1)
(- (+ (exp (* 2 a)) (* b (- (* b (- (* -4/3 b) 2)) 2))) 1)
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(* 1/4 b)
(+ (* 1/4 b) (* (pow a 2) (- (* 1/8 b) (* 3/16 b))))
(+ (* 1/4 b) (* (pow a 2) (- (+ (* 1/8 b) (* a (- (+ (* 1/24 b) (* 3/16 b)) (+ (* 5/48 b) (* 1/8 b))))) (* 3/16 b))))
(+ (* 1/4 b) (* (pow a 2) (- (+ (* 1/8 b) (* a (- (+ (* 1/24 b) (+ (* 3/16 b) (* a (- (+ (* 1/96 b) (+ (* 5/48 b) (* 1/8 b))) (+ (* 1/24 b) (+ (* 3/64 b) (+ (* 3/16 b) (* 3/4 (- (* 1/8 b) (* 3/16 b)))))))))) (+ (* 5/48 b) (* 1/8 b))))) (* 3/16 b))))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
4
(+ 4 (* 4 a))
(+ 4 (* a (+ 4 (* 3 a))))
(+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(pow (+ 1 (exp a)) 2)
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
b
(+ b (* a b))
(+ b (* a (+ b (* 1/2 (* a b)))))
(+ b (* a (+ b (* a (+ (* 1/6 (* a b)) (* 1/2 b))))))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))
(* b (exp a))

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))))))
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1
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1/2
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2
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1
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1/2
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2
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(- (exp (* 2 a)) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (- b (* -1 a))))
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(- (exp (* 2 a)) (exp (- b (* -1 a))))
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(- (exp (* 2 a)) (exp (- b (* -1 a))))
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(- (exp (* 2 a)) (exp a))
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(- (+ (exp (* 2 a)) (* -1 (* b (exp a)))) (exp a))
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(- (+ (exp (* 2 a)) (* b (- (* -1/2 (* b (exp a))) (exp a)))) (exp a))
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(- (+ (exp (* 2 a)) (* b (- (* b (- (* -1/6 (* b (exp a))) (* 1/2 (exp a)))) (exp a)))) (exp a))
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(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (+ a b)))
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(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
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(- (exp (* 2 a)) (exp (- a (* -1 b))))
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(- (exp (* 2 a)) (exp (- a (* -1 b))))
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1
#s(literal 1 binary64)
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(+ 1 (* a (+ 2 (* 2 a))))
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(+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 2 binary64) (*.f64 a #s(literal 4/3 binary64)))))))
(exp (* 2 a))
(exp.f64 (*.f64 a #s(literal 2 binary64)))
(exp (* 2 a))
(exp.f64 (*.f64 a #s(literal 2 binary64)))
(exp (* 2 a))
(exp.f64 (*.f64 a #s(literal 2 binary64)))
(exp (* 2 a))
(exp.f64 (*.f64 a #s(literal 2 binary64)))
(exp (* 2 a))
(exp.f64 (*.f64 a #s(literal 2 binary64)))
(exp (* 2 a))
(exp.f64 (*.f64 a #s(literal 2 binary64)))
(exp (* 2 a))
(exp.f64 (*.f64 a #s(literal 2 binary64)))
(exp (* 2 a))
(exp.f64 (*.f64 a #s(literal 2 binary64)))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
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(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
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(*.f64 a #s(literal 2 binary64))
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(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(- 1/2 (* 1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
(- (+ 1/2 (* 1/4 a)) (* 1/4 b))
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(- (+ 1/2 (* a (+ 1/4 (* a (- (* 3/16 b) (* 1/8 b)))))) (* 1/4 b))
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(- (+ 1/2 (* a (+ 1/4 (* a (- (+ (* 3/16 b) (* a (- (+ (* 5/48 b) (* 1/8 b)) (+ 1/48 (+ (* 1/24 b) (* 3/16 b)))))) (* 1/8 b)))))) (* 1/4 b))
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(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
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(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
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(- (/ (exp a) (+ 1 (exp a))) (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
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(/ (exp a) (+ 1 (exp a)))
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(* b (- (/ (exp a) (* b (+ 1 (exp a)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
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(* b (- (/ (exp a) (* b (+ 1 (exp a)))) (/ (exp a) (pow (+ 1 (exp a)) 2))))
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(* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2)))
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(* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))
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(* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))
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(* -1 (* b (- (* -1 (/ (exp a) (* b (+ 1 (exp a))))) (* -1 (/ (exp a) (pow (+ 1 (exp a)) 2))))))
(.f64 b (-.f64 (/.f64 (exp.f64 a) (.f64 b (+.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)))))
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)))
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))
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(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
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(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
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(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
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(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(- 1 (exp (* 2 b)))
(-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 b #s(literal 2 binary64))))
(- (+ 1 (* 2 a)) (exp (* 2 b)))
(+.f64 #s(literal 1 binary64) (-.f64 (.f64 a #s(literal 2 binary64)) (exp.f64 (.f64 b #s(literal 2 binary64)))))
(- (+ 1 (* a (+ 2 (* 2 a)))) (exp (* 2 b)))
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(- (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) (exp (* 2 b)))
(+.f64 (.f64 a (+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 2 binary64) (.f64 a #s(literal 4/3 binary64)))))) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 b #s(literal 2 binary64)))))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (.f64 b #s(literal 2 binary64))))
(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) 1)
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(- (+ (exp (* 2 a)) (* -2 b)) 1)
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(- (+ (exp (* 2 a)) (* b (- (* -2 b) 2))) 1)
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(- (+ (exp (* 2 a)) (* b (- (* b (- (* -4/3 b) 2)) 2))) 1)
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(- (exp (* 2 a)) (exp (* 2 b)))
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(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
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(* 1/4 b)
(*.f64 b #s(literal 1/4 binary64))
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(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
(/ (* b (exp a)) (pow (+ 1 (exp a)) 2))
(/.f64 (*.f64 b (exp.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))
4
#s(literal 4 binary64)
(+ 4 (* 4 a))
(+.f64 #s(literal 4 binary64) (*.f64 a #s(literal 4 binary64)))
(+ 4 (* a (+ 4 (* 3 a))))
(+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a #s(literal 3 binary64)))))
(+ 4 (* a (+ 4 (* a (+ 3 (* 5/3 a))))))
(+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 4 binary64) (.f64 a (+.f64 #s(literal 3 binary64) (*.f64 a #s(literal 5/3 binary64)))))))
(pow (+ 1 (exp a)) 2)
(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))
(pow (+ 1 (exp a)) 2)
(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))
(pow (+ 1 (exp a)) 2)
(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))
(pow (+ 1 (exp a)) 2)
(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))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
b
(+ b (* a b))
(*.f64 b (+.f64 #s(literal 1 binary64) a))
(+ b (* a (+ b (* 1/2 (* a b)))))
(+.f64 b (.f64 a (.f64 (+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64))) b)))
(+ b (* a (+ b (* a (+ (* 1/6 (* a b)) (* 1/2 b))))))
(+.f64 b (.f64 a (+.f64 b (.f64 a (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/6 binary64))))))))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))
(* b (exp a))
(*.f64 b (exp.f64 a))

eval148.0ms (2%)

Compiler: Compiled 32683 to 2587 computations (92.1% saved)

prune153.0ms (2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1279	11	1290
Fresh	0	0	0
Picked	3	2	5
Done	0	0	0
Total	1282	13	1295

Accuracy

100.0%

Counts

1295 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	63.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	62.8%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	33.1%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
	52.7%	(/.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))))))))
▶	48.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
▶	33.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b)))
✓	82.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	32.8%	(+.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)))))))
	32.1%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
▶	33.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	35.6%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
▶	63.3%	(.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 a))
▶	35.7%	#s(literal 1/2 binary64)

Compiler

Compiled 243 to 186 computations (23.5% saved)

simplify137.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
✓	cost-diff	0	(/.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	0	(+.f64 #s(literal 1 binary64) b)
✓	cost-diff	128	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(*.f64 b #s(literal -1/4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
✓	cost-diff	0	(expm1.f64 (*.f64 a #s(literal 2 binary64)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
✓	cost-diff	6528	(.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 a))

Rules

1716×	`sum4-define`
1636×	`-lowering-.f32`
1636×	`-lowering-.f64`
1454×	`fmsub-define`
1410×	`fmm-def`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	92
1	55	85
2	108	84
3	199	83
4	336	81
5	592	81
6	2114	81
0	8461	81

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (exp a) (- (exp (* a 2)) 1)) (- (exp a) 1))
(/ (exp a) (- (exp (* a 2)) 1))
(exp a)
a
(- (exp (* a 2)) 1)
(* a 2)
2
(- (exp a) 1)
1/2
(+ 1/2 (* b -1/4))
1/2
(* b -1/4)
b
-1/4
(/ 1 (+ 1 (+ 1 b)))
1
(+ 1 (+ 1 b))
(+ 1 b)
b
(/ 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) (- (exp (* a 2)) 1)) (- (exp a) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/ (exp a) (- (exp (* a 2)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(exp a)
(exp.f64 a)
a
(- (exp (* a 2)) 1)
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(* a 2)
(*.f64 a #s(literal 2 binary64))
2
#s(literal 2 binary64)
(- (exp a) 1)
(expm1.f64 a)
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 (+ 1 (+ 1 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b))
1
#s(literal 1 binary64)
(+ 1 (+ 1 b))
(+.f64 #s(literal 2 binary64) b)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
b
(/ 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)

localize169.0ms (2.3%)

Localize:

Found 13 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	99.3%	(/.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 binary64) b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b)))
✓	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%	(exp.f64 a)
✓	accuracy	100.0%	(expm1.f64 (*.f64 a #s(literal 2 binary64)))
✓	accuracy	98.8%	(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
✓	accuracy	98.7%	(.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 a))

Results

116.0ms	177×	1	valid
18.0ms	79×	0	valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

compiled-spec: 37.0ms (29.9% of total)

ival-exp: 29.0ms (23.5% of total)

ival-mult: 20.0ms (16.2% of total)

ival-add: 11.0ms (8.9% of total)

backward-pass: 10.0ms (8.1% of total)

ival-div: 8.0ms (6.5% of total)

ival-sub: 7.0ms (5.7% of total)

const: 2.0ms (1.6% of total)

series13.0ms (0.2%)

Counts

14 → 168

Calls

Call 1

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

Outputs
#<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 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))>
#<alt (/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))>
#<alt (/ 1/2 a)>
#<alt (/ (+ 1/2 (* -1/12 (pow a 2))) a)>
#<alt (/ (+ 1/2 (* (pow a 2) (- (* 7/720 (pow a 2)) 1/12))) a)>
#<alt (/ (+ 1/2 (* (pow a 2) (- (* (pow a 2) (+ 7/720 (* -31/30240 (pow a 2)))) 1/12))) a)>
#<alt (/ (exp a) (- (exp (* 2 a)) 1))>
#<alt (/ (exp a) (- (exp (* 2 a)) 1))>
#<alt (/ (exp a) (- (exp (* 2 a)) 1))>
#<alt (/ (exp a) (- (exp (* 2 a)) 1))>
#<alt (/ (exp a) (- (exp (* 2 a)) 1))>
#<alt (/ (exp a) (- (exp (* 2 a)) 1))>
#<alt (/ (exp a) (- (exp (* 2 a)) 1))>
#<alt (/ (exp a) (- (exp (* 2 a)) 1))>
#<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 (* 2 a)>
#<alt (* a (+ 2 (* 2 a)))>
#<alt (* a (+ 2 (* a (+ 2 (* 4/3 a)))))>
#<alt (* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<alt (- (exp (* 2 a)) 1)>
#<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 b))>
#<alt (+ 1/2 (* b (- (* 1/8 b) 1/4)))>
#<alt (+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))>
#<alt (/ 1 b)>
#<alt (/ (- 1 (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)>
#<alt (/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)>
#<alt (/ 1 b)>
#<alt (* -1 (/ (- (* 2 (/ 1 b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<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
3.0ms	b	@	-inf	(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
1.0ms	a	@	-inf	(* (/ (exp a) (- (exp (* a 2)) 1)) (- (exp a) 1))
1.0ms	b	@	inf	(+ 2 (* b (+ 1 (* b 1/2))))
1.0ms	a	@	inf	(* (/ (exp a) (- (exp (* a 2)) 1)) (- (exp a) 1))
0.0ms	a	@	inf	(/ (exp a) (- (exp (* a 2)) 1))

rewrite335.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3924×	`/-lowering-/.f32`
3924×	`/-lowering-/.f64`
2922×	`-lowering-.f32`
2922×	`-lowering-.f64`
2084×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	75
1	152	68
2	1329	65
0	8339	65

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 516

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (exp.f64 a)) (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (exp.f64 a) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (exp.f64 a) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a))))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64)))))
(fma.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (exp.f64 a) (.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a)) (expm1.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (expm1.f64 (.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (*.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64))))) (expm1.f64 (.f64 a #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64))))) (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (.f64 (expm1.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64))))) (expm1.f64 (*.f64 a #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64))))) (.f64 (expm1.f64 (*.f64 a #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 (*.f64 a #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 (.f64 a #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (.f64 (expm1.f64 a) (-.f64 #s(literal 0 binary64) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a)))))
(/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64))))))
(/.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 a)))
(/.f64 (expm1.f64 a) (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (neg.f64 (/.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))))))
(/.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (.f64 (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 3 binary64)))) (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 3 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)) (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (.f64 a #s(literal 2 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 a))) (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64))))))
(/.f64 (.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 a)) (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))
(/.f64 (.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 a))) (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 3 binary64)))) (neg.f64 (.f64 (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 3 binary64)))) (neg.f64 (/.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 (.f64 a #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (.f64 (expm1.f64 a) (-.f64 #s(literal 0 binary64) (exp.f64 a))) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 a)) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))))
(/.f64 (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (/.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64))))) (neg.f64 (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 3 binary64))))) (neg.f64 (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (expm1.f64 a)) (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64))) (exp.f64 a))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (exp.f64 a) (expm1.f64 a))) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 3 binary64))))) (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (neg.f64 (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (expm1.f64 (.f64 a #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 a)))) (neg.f64 (.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (expm1.f64 (.f64 a #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (exp.f64 a))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (expm1.f64 (*.f64 a #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 a)))) (neg.f64 (.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 a #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (.f64 (exp.f64 a) (expm1.f64 a)))) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 (*.f64 a #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 (.f64 a #s(literal 3 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (expm1.f64 a) (-.f64 #s(literal 0 binary64) (exp.f64 a)))) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 a))) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 (expm1.f64 (.f64 a #s(literal 3 binary64))) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (*.f64 a #s(literal 2 binary64))) (+.f64 (exp.f64 a) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (exp.f64 a)) (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (exp.f64 a))) (-.f64 (.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64)) (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))) (.f64 (.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (exp.f64 a)) (.f64 (/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 a) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 a) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (/.f64 (exp.f64 a) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a)))) (-.f64 (.f64 (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))) (.f64 (/.f64 (exp.f64 a) (/.f64 (expm1.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 a))) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)) (expm1.f64 (*.f64 a #s(literal 2 binary64))))))))
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(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (neg.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))))
(-.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) b #s(literal 1 binary64))
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)) (+.f64 (.f64 (*.f64 b b) #s(literal 1/4 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64))) (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)) (.f64 (.f64 b b) #s(literal 1/4 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(/.f64 (neg.f64 (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)))) (+.f64 (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)))) (.f64 (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))) (/.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) b)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b))))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (.f64 b b)) #s(literal 1/8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/2 binary64) b) (+.f64 (*.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64)))))))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (.f64 (.f64 b b) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) b)))))
(.f64 (+.f64 (.f64 (.f64 b b) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))
(*.f64 #s(literal 1/2 binary64) b)
(*.f64 b #s(literal 1/2 binary64))
(.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))

simplify230.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3010×	`-lowering-.f32`
3010×	`-lowering-.f64`
2096×	`+-lowering-+.f64`
2096×	`+-lowering-+.f32`
1818×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	966
1	585	840
2	1507	836
3	5069	835
0	8832	835

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
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) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/ 1/2 a)
(/ (+ 1/2 (* -1/12 (pow a 2))) a)
(/ (+ 1/2 (* (pow a 2) (- (* 7/720 (pow a 2)) 1/12))) a)
(/ (+ 1/2 (* (pow a 2) (- (* (pow a 2) (+ 7/720 (* -31/30240 (pow a 2)))) 1/12))) a)
(/ (exp a) (- (exp (* 2 a)) 1))
(/ (exp a) (- (exp (* 2 a)) 1))
(/ (exp a) (- (exp (* 2 a)) 1))
(/ (exp a) (- (exp (* 2 a)) 1))
(/ (exp a) (- (exp (* 2 a)) 1))
(/ (exp a) (- (exp (* 2 a)) 1))
(/ (exp a) (- (exp (* 2 a)) 1))
(/ (exp a) (- (exp (* 2 a)) 1))
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)
(* 2 a)
(* a (+ 2 (* 2 a)))
(* a (+ 2 (* a (+ 2 (* 4/3 a)))))
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
(- (exp (* 2 a)) 1)
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 b))
(+ 1/2 (* b (- (* 1/8 b) 1/4)))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(/ 1 b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/ 1 b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
1
(+ 1 b)
(+ 1 b)
(+ 1 b)
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
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 (* 1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) 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)))))
(+ 1/2 (* 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 (.f64 a a) (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64)))))))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/ (* (exp a) (- (exp a) 1)) (- (exp (* 2 a)) 1))
(/.f64 (.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (.f64 a #s(literal 2 binary64))))
(/ 1/2 a)
(/.f64 #s(literal 1/2 binary64) a)
(/ (+ 1/2 (* -1/12 (pow a 2))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a #s(literal -1/12 binary64)))) a)
(/ (+ 1/2 (* (pow a 2) (- (* 7/720 (pow a 2)) 1/12))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a (+.f64 #s(literal -1/12 binary64) (.f64 (.f64 a a) #s(literal 7/720 binary64)))))) a)
(/ (+ 1/2 (* (pow a 2) (- (* (pow a 2) (+ 7/720 (* -31/30240 (pow a 2)))) 1/12))) a)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 a a) (+.f64 #s(literal -1/12 binary64) (.f64 a (.f64 a (+.f64 #s(literal 7/720 binary64) (.f64 (.f64 a a) #s(literal -31/30240 binary64)))))))) a)
(/ (exp a) (- (exp (* 2 a)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/ (exp a) (- (exp (* 2 a)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/ (exp a) (- (exp (* 2 a)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/ (exp a) (- (exp (* 2 a)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/ (exp a) (- (exp (* 2 a)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/ (exp a) (- (exp (* 2 a)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/ (exp a) (- (exp (* 2 a)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
(/ (exp a) (- (exp (* 2 a)) 1))
(/.f64 (exp.f64 a) (expm1.f64 (*.f64 a #s(literal 2 binary64))))
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 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+ 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 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (* 2 a)))
(.f64 a (+.f64 #s(literal 2 binary64) (.f64 a #s(literal 2 binary64))))
(* a (+ 2 (* a (+ 2 (* 4/3 a)))))
(.f64 a (+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 2 binary64) (*.f64 a #s(literal 4/3 binary64))))))
(* a (+ 2 (* a (+ 2 (* a (+ 4/3 (* 2/3 a)))))))
(.f64 a (+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 4/3 binary64) (.f64 a #s(literal 2/3 binary64))))))))
(- (exp (* 2 a)) 1)
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(- (exp (* 2 a)) 1)
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(- (exp (* 2 a)) 1)
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(- (exp (* 2 a)) 1)
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(- (exp (* 2 a)) 1)
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(- (exp (* 2 a)) 1)
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(- (exp (* 2 a)) 1)
(expm1.f64 (*.f64 a #s(literal 2 binary64)))
(- (exp (* 2 a)) 1)
(expm1.f64 (*.f64 a #s(literal 2 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 (* -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 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/8 b) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+ 1/2 (* b (- (* b (+ 1/8 (* -1/16 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (*.f64 b #s(literal -1/16 binary64)))))))
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(/ (- 1 (* 2 (/ 1 b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (* 2 (/ 1 b))) b)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) b) #s(literal -2 binary64)) b)) b)
(/ (- (+ 1 (/ 4 (pow b 2))) (+ (* 2 (/ 1 b)) (* 8 (/ 1 (pow b 3))))) b)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) b) #s(literal -2 binary64)) b) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 b b)) b))) b)
(/ 1 b)
(/.f64 #s(literal 1 binary64) b)
(* -1 (/ (- (* 2 (/ 1 b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) b)) b)
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 b)) 2) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) b) #s(literal -2 binary64)) b)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b)) 1) b))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) b)) b) #s(literal -2 binary64)) b)) b)
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 #s(literal 2 binary64) b)
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
(+ 1 b)
(+.f64 #s(literal 1 binary64) b)
b
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
b
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
(* b (+ 1 (/ 1 b)))
(+.f64 #s(literal 1 binary64) b)
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 (*.f64 b 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 #s(literal -4 binary64) (/.f64 #s(literal -16 binary64) (.f64 b b))) 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 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal -16 binary64) (.f64 b b))) b)) (/.f64 #s(literal -32 binary64) (.f64 (.f64 b b) (.f64 b b)))) (*.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 #s(literal -4 binary64) (/.f64 #s(literal -16 binary64) (.f64 b b))) 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 32 binary64) (.f64 b (.f64 b b)))) (/.f64 #s(literal -16 binary64) (.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)

eval109.0ms (1.5%)

Compiler: Compiled 13082 to 1823 computations (86.1% saved)

prune94.0ms (1.3%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	677	7	684
Fresh	1	5	6
Picked	2	3	5
Done	0	2	2
Total	680	17	697

Accuracy

100.0%

Counts

697 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.8%	(/.f64 (-.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
	34.9%	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
▶	18.1%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
✓	63.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	62.8%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	18.8%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
▶	48.2%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
	52.7%	(/.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))))))))
✓	82.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	3.5%	(/.f64 #s(literal 1 binary64) b)
	32.8%	(+.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)))))))
	32.1%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
✓	33.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
▶	35.6%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
✓	63.3%	(.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 a))
▶	4.1%	(*.f64 #s(literal -1/4 binary64) b)
✓	35.7%	#s(literal 1/2 binary64)

Compiler

Compiled 401 to 248 computations (38.2% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

164×	`-lowering-.f32`
164×	`-lowering-.f64`
134×	`fma-define`
124×	`fma-lowering-fma.f32`
124×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	92
1	39	81
2	57	81
3	105	80
4	169	80
5	204	80
6	219	80
7	236	80
8	325	80
9	354	80
10	373	80
11	377	80
12	378	80
0	378	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

localize82.0ms (1.1%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) b)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))
✓	accuracy	99.9%	(/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))
✓	accuracy	99.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
✓	accuracy	100.0%	(/.f64 #s(literal -4 binary64) b)
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
✓	accuracy	100.0%	(*.f64 b b)
✓	accuracy	98.8%	(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
✓	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 #s(literal -1/4 binary64) b)
✓	accuracy	100.0%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓	accuracy	100.0%	(exp.f64 a)

Results

56.0ms

256×

valid

Compiler

Compiled 102 to 24 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 10.0ms (38.9% of total)

ival-mult: 7.0ms (27.2% of total)

ival-add: 5.0ms (19.4% of total)

ival-exp: 2.0ms (7.8% of total)

const: 1.0ms (3.9% of total)

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

series6.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

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 (* -1/4 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 (* 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 (/ -4 (pow b 3))>
#<alt (/ (- (* 2 b) 4) (pow b 3))>
#<alt (/ (- (* 2 b) 4) (pow b 3))>
#<alt (/ (- (* 2 b) 4) (pow b 3))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ -4 b)>
#<alt (/ (- (* 2 b) 4) b)>
#<alt (/ (- (* 2 b) 4) b)>
#<alt (/ (- (* 2 b) 4) b)>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt 2>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (- 2 (* 4 (/ 1 b)))>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (/ -4 b)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 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 (* b (- (* 1/4 b) 1/2)))>
#<alt (+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2)))>
#<alt (/ 2 b)>
#<alt (/ (- 2 (* 4 (/ 1 b))) b)>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) b)>
#<alt (/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) b)>
#<alt (/ 2 b)>
#<alt (* -1 (/ (- (* 4 (/ 1 b)) 2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 b)) 8) b)) 4) b)) 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)>
#<alt (* 1/2 b)>

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	b	@	0	(/ (+ 2 (/ -4 b)) (* b b))
0.0ms	b	@	-inf	(/ (+ 2 (/ -4 b)) (* b b))
0.0ms	b	@	0	(/ -4 b)
0.0ms	b	@	inf	(/ (+ 2 (/ -4 b)) (* b b))
0.0ms	a	@	inf	(/ (exp a) 2)

rewrite286.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

4504×	`-lowering-.f32`
4504×	`-lowering-.f64`
3608×	`/-lowering-/.f32`
3608×	`/-lowering-/.f64`
1710×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	73
1	132	63
2	996	63
0	8932	63

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 452

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (/.f64 (exp.f64 a) #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 a))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.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 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a))) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1 binary64))
(*.f64 (exp.f64 a) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (exp.f64 a))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -1 binary64)))
(*.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 (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (exp.f64 a)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a))) #s(literal -1/2 binary64))
(exp.f64 a)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(*.f64 #s(literal 1 binary64) (exp.f64 a))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 b #s(literal 4 binary64)))
(neg.f64 (/.f64 b #s(literal 4 binary64)))
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 b #s(literal -4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) b))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -4 binary64) b) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) b))
(/.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 4 binary64))
(/.f64 (/.f64 b #s(literal -4 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 b #s(literal 4 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -4 binary64) b) #s(literal -1 binary64))
(pow.f64 (/.f64 b #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 b #s(literal -1/4 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) b) #s(literal 1/4 binary64))
(*.f64 (/.f64 b #s(literal -4 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
(+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (neg.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(-.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/4 binary64) a #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a)))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))))
(neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/16 binary64))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a #s(literal -1/4 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a))))) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 a a) #s(literal -1/16 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/8 binary64) a))) (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) (+.f64 (.f64 a (*.f64 a #s(literal 1/16 binary64))) #s(literal -1/4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a)))) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a)))) (+.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/8 binary64) a))))
(/.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a))))) (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a))))) (neg.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/8 binary64) a)))))
(/.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 a a) #s(literal -1/16 binary64)))) (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a #s(literal -1/4 binary64)))))
(/.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) #s(literal -1/4 binary64)) (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))) (.f64 a (.f64 a #s(literal 1/16 binary64))))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a)))))) (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 a (-.f64 (*.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1/4 binary64) (neg.f64 (.f64 (.f64 a a) #s(literal -1/16 binary64))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 a #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (*.f64 a #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))) (+.f64 (.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))) (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64))))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))) (.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 (.f64 a (.f64 a #s(literal 1/16 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 #s(literal 1/64 binary64) (.f64 a a)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 a (-.f64 (.f64 a #s(literal 1/16 binary64)) #s(literal 1/8 binary64)))))
(/.f64 (.f64 (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/16 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))))
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(.f64 (-.f64 #s(literal 0 binary64) b) (+.f64 #s(literal -1 binary64) (.f64 b #s(literal -1/2 binary64))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))))) b))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))) b))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))))))
(.f64 (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(.f64 (/.f64 b (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64))))
(.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))))))
(.f64 (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b #s(literal -1/2 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (.f64 (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (.f64 (.f64 b #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b))))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (*.f64 b #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))))
(exp.f64 (.f64 (log1p.f64 (.f64 b #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (/.f64 (*.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 b b) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (/.f64 (.f64 b #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))))
(neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 b #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 b #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 b #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 b #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (.f64 b #s(literal -1/2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 b b) #s(literal 4 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))) (-.f64 (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
(/.f64 (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 b (+.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (*.f64 b #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (.f64 b #s(literal -1/2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (+.f64 #s(literal 1 binary64) (.f64 b #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 b #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 b (/.f64 #s(literal -4 binary64) b)))) (.f64 (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 (*.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 b #s(literal -1/2 binary64)) #s(literal -1 binary64))
(*.f64 b #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) b)
(.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))
(.f64 (.f64 b #s(literal 1/2 binary64)) #s(literal 1 binary64))

simplify261.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

2360×	`-lowering-.f32`
2360×	`-lowering-.f64`
2044×	`sum4-define`
1560×	`+-lowering-+.f64`
1560×	`+-lowering-+.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	886
1	451	795
2	1159	761
3	3168	759
4	7301	759
0	8853	759

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)
(* -1/4 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 (* 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)
(/ -4 (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ (- (* 2 b) 4) (pow b 3))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ 2 (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ (- 2 (* 4 (/ 1 b))) (pow b 2))
(/ -4 b)
(/ (- (* 2 b) 4) b)
(/ (- (* 2 b) 4) b)
(/ (- (* 2 b) 4) b)
2
(- 2 (* 4 (/ 1 b)))
(- 2 (* 4 (/ 1 b)))
(- 2 (* 4 (/ 1 b)))
2
(- 2 (* 4 (/ 1 b)))
(- 2 (* 4 (/ 1 b)))
(- 2 (* 4 (/ 1 b)))
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(/ -4 b)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 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 (* b (- (* 1/4 b) 1/2)))
(+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2)))
(/ 2 b)
(/ (- 2 (* 4 (/ 1 b))) b)
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) b)
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) b)
(/ 2 b)
(* -1 (/ (- (* 4 (/ 1 b)) 2) b))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 b)) 8) b)) 4) b)) 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)
(* 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)
(* -1/4 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 (* 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))
(/ -4 (pow b 3))
(/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b)))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(/ (- (* 2 b) 4) (pow b 3))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.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 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.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 (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 (* 4 (/ 1 b))) (pow b 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.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))
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ (- (* 2 b) 4) b)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(/ (- (* 2 b) 4) b)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(/ (- (* 2 b) 4) b)
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
2
#s(literal 2 binary64)
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(- 2 (* 4 (/ 1 b)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b))
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(/ -4 b)
(/.f64 #s(literal -4 binary64) b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
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 (*.f64 b 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 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 b b))) 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 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 b b))) 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 #s(literal -4 binary64) (/.f64 #s(literal 16 binary64) (.f64 b b))) 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 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 #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 b #s(literal -1/2 binary64)))
(+ 1 (* b (- (* 1/4 b) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) b))))
(+ 1 (* b (- (* b (+ 1/4 (* -1/8 b))) 1/2)))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal -1/2 binary64) (.f64 b (+.f64 #s(literal 1/4 binary64) (*.f64 b #s(literal -1/8 binary64)))))))
(/ 2 b)
(/.f64 #s(literal 2 binary64) b)
(/ (- 2 (* 4 (/ 1 b))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b)
(/ (- (+ 2 (/ 8 (pow b 2))) (* 4 (/ 1 b))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) b)) b)) b)
(/ (- (+ 2 (/ 8 (pow b 2))) (+ (* 4 (/ 1 b)) (* 16 (/ 1 (pow b 3))))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) b) #s(literal -8 binary64)) b)) b)) b)
(/ 2 b)
(/.f64 #s(literal 2 binary64) b)
(* -1 (/ (- (* 4 (/ 1 b)) 2) b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) b)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 b)) 4) b)) 2) b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 8 binary64) b)) b)) b)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 b)) 8) b)) 4) b)) 2) b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) b) #s(literal -8 binary64)) b)) b)) 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)

eval72.0ms (1%)

Compiler: Compiled 10913 to 1459 computations (86.6% saved)

prune89.0ms (1.2%)

Pruning

19 alts after pruning (11 fresh and 8 done)

	Pruned	Kept	Total
New	613	7	620
Fresh	3	4	7
Picked	2	3	5
Done	0	5	5
Total	618	19	637

Accuracy

100.0%

Counts

637 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.6%	(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
	34.9%	(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) b)))))
✓	63.4%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	62.8%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	18.8%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
	4.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) b))
	38.8%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
	36.1%	(/.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 #s(literal 1/4 binary64) b)))))))
✓	82.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	3.5%	(/.f64 #s(literal 1 binary64) b)
	22.7%	(/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b)))
	32.8%	(+.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)))))))
	32.1%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
✓	33.2%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
✓	35.6%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
✓	63.3%	(.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 a))
	3.6%	(*.f64 a #s(literal 1/4 binary64))
✓	4.1%	(*.f64 #s(literal -1/4 binary64) b)
✓	35.7%	#s(literal 1/2 binary64)

Compiler

Compiled 596 to 282 computations (52.7% saved)

regimes47.0ms (0.6%)

Counts

31 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) b)
(+.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 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) b))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 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 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #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 #s(literal 1/4 binary64) b)))))))
(+.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) b)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(.f64 (/.f64 (exp.f64 a) (expm1.f64 (.f64 a #s(literal 2 binary64)))) (expm1.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (exp.f64 (*.f64 b #s(literal 2 binary64)))))
(-.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))))

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

Calls

5 calls:

11.0ms	b
9.0ms	a
9.0ms	(exp.f64 b)
8.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.4%	1	`a`
98.4%	1	`b`
100.0%	2	`(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))`
98.4%	1	`(exp.f64 a)`
98.4%	1	`(exp.f64 b)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes72.0ms (1%)

Counts

26 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) b)
(+.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 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) b))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 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 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #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 #s(literal 1/4 binary64) b)))))))
(+.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) b)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))

Outputs
(/.f64 (exp.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)
8.0ms	a
8.0ms	b
6.0ms	(exp.f64 b)

Results

Accuracy	Segments	Branch
99.4%	2	`a`
100.0%	3	`b`
99.3%	2	`(exp.f64 a)`
100.0%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes35.0ms (0.5%)

Counts

24 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) b)
(+.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 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) b))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 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 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #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 #s(literal 1/4 binary64) b)))))))
(+.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) b)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))

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

Calls

3 calls:

7.0ms	a
7.0ms	b
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
76.1%	2	`b`
73.5%	2	`(exp.f64 a)`
73.5%	2	`a`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.2%)

Counts

23 → 3

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) b)
(+.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 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) b))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 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 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #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 #s(literal 1/4 binary64) b)))))))
(+.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))
(/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))) b)))))

Outputs

(/.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 #s(literal 1/4 binary64) b)))))))

(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (+.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))) (*.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b)))))))

(/.f64 #s(literal -4 binary64) (*.f64 b (*.f64 b b)))

Calls

2 calls:

7.0ms	a
7.0ms	b

Results

Accuracy	Segments	Branch
52.7%	1	`a`
59.0%	3	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 binary64) b)
(*.f64 a #s(literal 1/4 binary64))
(/.f64 #s(literal 1 binary64) b)
(+.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 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) b))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) b)))
(/.f64 (/.f64 #s(literal -4 binary64) b) (*.f64 b b))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) b)) (*.f64 b b))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 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 #s(literal 2 binary64) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 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 #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 #s(literal 1/4 binary64) b)))))))
(+.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 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b))))) (+.f64 #s(literal 1 binary64) (*.f64 b (-.f64 (/.f64 b #s(literal 4 binary64)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))) (-.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))))))

Outputs

(/.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 #s(literal 1/4 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))))))))

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
56.1%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

Outputs

#s(literal 1/2 binary64)

(/.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

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
56.1%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.2%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
55.6%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
40.2%	2	`a`
50.8%	2	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -21.6b remaining (-52.5%)

Threshold costs -21.6b (-52.5%)

Counts

8 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

3.0ms	b
3.0ms	a

Results

Accuracy	Segments	Branch
35.7%	1	`a`
35.7%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-382631076992189.94	-397105424077.5054

Results

9.0ms	128×	0	valid
1.0ms	30×	0	unsamplable

Compiler

Compiled 143 to 114 computations (20.3% saved)

Precisions

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

ival-exp: 2.0ms (48.9% of total)

ival-div: 1.0ms (24.4% of total)

ival-add: 1.0ms (24.4% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.1729685268156514e+95	1.924367672588198e+96

Results

8.0ms

96×

valid

Compiler

Compiled 117 to 88 computations (24.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 4.0ms (77.6% of total)

ival-div: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
16.0ms	9.073322885745556e+75	4.493759504574008e+84
2.0ms	-0.0585610371242614	-5.3700371354752446e-11

Results

12.0ms

160×

valid

Compiler

Compiled 603 to 267 computations (55.7% saved)

Precisions

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

ival-exp: 6.0ms (74.4% of total)

ival-div: 1.0ms (12.4% of total)

ival-add: 1.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

bsearch21.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-495.68374642100497	-0.0585610371242614

Results

16.0ms

128×

valid

Compiler

Compiled 303 to 234 computations (22.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-exp: 10.0ms (82% of total)

ival-div: 1.0ms (8.2% of total)

ival-add: 1.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-495.68374642100497	-0.0585610371242614

Results

7.0ms

128×

valid

Compiler

Compiled 191 to 154 computations (19.4% saved)

Precisions

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

ival-exp: 2.0ms (52.2% of total)

ival-div: 1.0ms (26.1% of total)

ival-add: 1.0ms (26.1% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.005708677907880751	124561.44982595672

Results

9.0ms

144×

valid

Compiler

Compiled 141 to 109 computations (22.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-exp: 3.0ms (55.6% of total)

ival-div: 1.0ms (18.5% of total)

ival-add: 1.0ms (18.5% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	0.005708677907880751	124561.44982595672

Results

8.0ms

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 (46.5% of total)

ival-div: 1.0ms (23.3% of total)

ival-add: 1.0ms (23.3% of total)

const: 0.0ms (0% of total)

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
20×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	189
1	94	189

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -400000000000 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal 1900000000000000082880032608725718320945841257443436323817450138401184200648224446820167654047744 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b))))
(if (<=.f64 b #s(literal -3602879701896397/72057594037927936 binary64)) (/.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 #s(literal 1/4 binary64) b))))))) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))))) (/.f64 #s(literal -4 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -5/4 binary64)) (/.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 #s(literal 1/4 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)))))))))
(if (<=.f64 b #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.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 2450 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b))))
(if (<=.f64 b #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
#s(literal 1/2 binary64)

Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(if (<=.f64 a #s(literal -400000000000 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 a #s(literal -400000000000 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal 1900000000000000082880032608725718320945841257443436323817450138401184200648224446820167654047744 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b))))
(if (<=.f64 b #s(literal -3602879701896397/72057594037927936 binary64)) (/.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 #s(literal 1/4 binary64) b))))))) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))))) (/.f64 #s(literal -4 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -3602879701896397/72057594037927936 binary64)) (/.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 1/4 binary64)))))))) (if (<=.f64 b #s(literal 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (+.f64 #s(literal 4 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) #s(literal -2 binary64)))) (+.f64 #s(literal 8 binary64) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))) (/.f64 #s(literal -4 binary64) (.f64 b (*.f64 b b)))))
(if (<=.f64 b #s(literal -5/4 binary64)) (/.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 #s(literal 1/4 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)))))))))
(if (<=.f64 b #s(literal -5/4 binary64)) (/.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 1/4 binary64)))))))) (/.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 -2 binary64)) #s(literal 1/2 binary64) (/.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 2450 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) (.f64 b (.f64 b b))))
(if (<=.f64 b #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 b b)))
#s(literal 1/2 binary64)

soundness1.6s (21.6%)

Rules

3924×	`/-lowering-/.f32`
3924×	`/-lowering-/.f64`
3640×	`-lowering-.f32`
3640×	`-lowering-.f64`
3244×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	75
1	152	68
2	1329	65
0	8339	65
0	120	714
1	360	655
2	1227	637
3	5176	633
0	8594	633
0	151	886
1	451	795
2	1159	761
3	3168	759
4	7301	759
0	8853	759
0	196	966
1	585	840
2	1507	836
3	5069	835
0	8832	835
0	470	4062
1	1507	3785
2	5022	3575
0	8249	3575

Stop Event

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

Compiler

Compiled 603 to 380 computations (37% saved)

preprocess59.0ms (0.8%)

Compiler: Compiled 422 to 164 computations (61.1% saved)

Iter	Nodes	Cost
0	23	92
1	39	81
2	57	81
3	105	80
4	169	80
5	204	80
6	219	80
7	236	80
8	325	80
9	354	80
10	373	80
11	377	80
12	378	80
0	378	80

Iter	Nodes	Cost
0	23	92
1	39	81
2	57	81
3	105	80
4	169	80
5	204	80
6	219	80
7	236	80
8	325	80
9	354	80
10	373	80
11	377	80
12	378	80
0	378	80

analyze12.0ms (0.2%)

sample1.1s (15.1%)

preprocess128.0ms (1.7%)

explain90.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize24.0ms (0.3%)

series28.0ms (0.4%)

rewrite287.0ms (3.8%)

simplify225.0ms (3%)

eval38.0ms (0.5%)

prune103.0ms (1.4%)

simplify152.0ms (2%)

localize313.0ms (4.2%)

series34.0ms (0.5%)

rewrite400.0ms (5.3%)

simplify297.0ms (4%)

eval148.0ms (2%)

prune153.0ms (2%)

simplify137.0ms (1.8%)

localize169.0ms (2.3%)

series13.0ms (0.2%)

rewrite335.0ms (4.5%)

simplify230.0ms (3.1%)

eval109.0ms (1.5%)

prune94.0ms (1.3%)

simplify20.0ms (0.3%)

localize82.0ms (1.1%)

series6.0ms (0.1%)

rewrite286.0ms (3.8%)

simplify261.0ms (3.5%)

eval72.0ms (1%)

prune89.0ms (1.2%)

regimes47.0ms (0.6%)

regimes72.0ms (1%)

regimes35.0ms (0.5%)

regimes16.0ms (0.2%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

regimes14.0ms (0.2%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch17.0ms (0.2%)

bsearch12.0ms (0.2%)

bsearch19.0ms (0.3%)

bsearch21.0ms (0.3%)

bsearch13.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch15.0ms (0.2%)

simplify9.0ms (0.1%)

soundness1.6s (21.6%)

preprocess59.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	23	92
1	39	81
2	57	81
3	105	80
4	169	80
5	204	80
6	219	80
7	236	80
8	325	80
9	354	80
10	373	80
11	377	80
12	378	80
0	378	80