Metrics for Quotient of sum of exps

analyze13.0ms (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: 1.0ms (39.5% of total)

ival-add: 1.0ms (39.5% of total)

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

const: 0.0ms (0% of total)

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

sample1.0s (13.4%)

Results

568.0ms	8256×	0	valid
198.0ms	3002×	0	unsamplable

Precisions

Click to see histograms. Total time spent on operations: 353.0ms

ival-exp: 176.0ms (49.9% of total)

ival-div: 92.0ms (26.1% of total)

ival-add: 69.0ms (19.6% of total)

const: 11.0ms (3.1% of total)

backward-pass: 4.0ms (1.1% of total)

Bogosity

preprocess135.0ms (1.8%)

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))))

explain75.0ms (1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
3	-	-	`(/.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

46.0ms

512×

valid

Compiler

Compiled 54 to 20 computations (63% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-exp: 7.0ms (47.7% of total)

ival-div: 4.0ms (27.2% of total)

ival-add: 3.0ms (20.4% of total)

const: 1.0ms (6.8% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify4.0ms (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

localize59.0ms (0.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	98.8%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

52.0ms

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: 4.0ms (54.8% of total)

ival-div: 2.0ms (27.4% of total)

ival-add: 1.0ms (13.7% of total)

const: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Counts

4 → 72

Calls

Call 1

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

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

Calls

18 calls:

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

rewrite229.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 286

Calls

Call 1

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

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

simplify238.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

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

eval41.0ms (0.5%)

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

prune47.0ms (0.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	397	4	401
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	398	4	402

Accuracy

100.0%

Counts

402 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.5%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
▶	83.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	100.0%	(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))

Compiler

Compiled 37 to 27 computations (27% saved)

simplify48.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	6272	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	cost-diff	0	(-.f64 b a)
✓	cost-diff	0	(exp.f64 (-.f64 b a))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	cost-diff	0	(exp.f64 (-.f64 b a))
✓	cost-diff	0	(log1p.f64 (exp.f64 (-.f64 b a)))
✓	cost-diff	0	(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a))))
✓	cost-diff	12672	(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))

Rules

216×	`fnmadd-define`
202×	`sum3-define`
176×	`fmsub-define`
172×	`fma-lowering-fma.f32`
172×	`fnmsub-define`

Iterations

Useful iterations: 12 (0.0ms)

Iter	Nodes	Cost
0	17	79
1	33	79
2	44	79
3	65	79
4	95	79
5	140	79
6	221	79
7	336	79
8	445	79
9	579	79
10	678	79
11	693	79
12	703	78
13	724	78
14	768	78
15	836	78
16	870	78
17	931	78
18	996	78
19	1052	78
20	1076	78
0	1076	78

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(exp (- 0 (log (+ 1 (exp (- b a))))))
(- 0 (log (+ 1 (exp (- b a)))))
0
(log (+ 1 (exp (- b a))))
(exp (- b a))
(- b a)
b
a
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ 1 (+ 1 (exp (- b a))))
1
(+ 1 (exp (- b a)))
(exp (- b a))
(- b a)
b
a
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1

Outputs
(exp (- 0 (log (+ 1 (exp (- b a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(- 0 (log (+ 1 (exp (- b a)))))
(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a))))
0
#s(literal 0 binary64)
(log (+ 1 (exp (- b a))))
(log1p.f64 (exp.f64 (-.f64 b a)))
(exp (- b a))
(exp.f64 (-.f64 b a))
(- b a)
(-.f64 b a)
b
a
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(exp b)
(exp.f64 b)
b
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
1
#s(literal 1 binary64)
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp (- b a))
(exp.f64 (-.f64 b a))
(- b a)
(-.f64 b a)
b
a
(/ (exp a) (+ (exp a) 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.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)

localize294.0ms (3.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓	accuracy	99.6%	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓	accuracy	100.0%	(-.f64 b a)
✓	accuracy	100.0%	(exp.f64 (-.f64 b a))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓	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%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	100.0%	(-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a))))
✓	accuracy	100.0%	(exp.f64 (-.f64 b a))
✓	accuracy	100.0%	(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
✓	accuracy	99.6%	(log1p.f64 (exp.f64 (-.f64 b a)))

Results

174.0ms	106×	5	exit
54.0ms	49×	2	valid
27.0ms	100×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 86 to 18 computations (79.1% saved)

Precisions

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

backward-pass: 44.0ms (30.5% of total)

compiled-spec: 25.0ms (17.3% of total)

ival-exp: 20.0ms (13.8% of total)

ival-sub: 14.0ms (9.7% of total)

ival-div: 14.0ms (9.7% of total)

ival-add: 14.0ms (9.7% of total)

ival-log: 13.0ms (9% of total)

const: 2.0ms (1.4% of total)

series140.0ms (1.8%)

Counts

13 → 240

Calls

Call 1

Inputs
#<alt (exp (- 0 (log (+ 1 (exp (- b a))))))>
#<alt (- 0 (log (+ 1 (exp (- b a)))))>
#<alt (log (+ 1 (exp (- b a))))>
#<alt (exp (- b a))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (- b a)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (exp a)>
#<alt (+ (exp a) 1)>

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

Calls

60 calls:

Time	Variable		Point	Expression
52.0ms	a	@	-inf	(exp (- 0 (log (+ 1 (exp (- b a))))))
31.0ms	b	@	inf	(exp (- 0 (log (+ 1 (exp (- b a))))))
24.0ms	b	@	-inf	(exp (- 0 (log (+ 1 (exp (- b a))))))
17.0ms	a	@	inf	(exp (- 0 (log (+ 1 (exp (- b a))))))
2.0ms	b	@	0	(exp (- 0 (log (+ 1 (exp (- b a))))))

rewrite219.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`+-lowering-+.f64`
1616×	`+-lowering-+.f32`
1566×	`fma-lowering-fma.f32`
1566×	`fma-lowering-fma.f64`
1316×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	17	62
1	54	62
2	156	62
3	488	62
4	1340	61
5	4473	61
0	8525	61

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 532

Calls

Call 1

Inputs
(exp (- 0 (log (+ 1 (exp (- b a))))))
(- 0 (log (+ 1 (exp (- b a)))))
(log (+ 1 (exp (- b a))))
(exp (- b a))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ 1 (+ 1 (exp (- b a))))
(+ 1 (exp (- b a)))
(- b a)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)

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

simplify277.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

4294×	`-lowering-.f32`
4294×	`-lowering-.f64`
1784×	`+-lowering-+.f64`
1784×	`+-lowering-+.f32`
1518×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	355	2713
1	1211	2443
2	4736	2321
0	8496	2321

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(exp (neg (log (+ 1 (exp (neg a))))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* -1 (/ (* b (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a)))))))) (+ 1 (exp (neg a))))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* b (+ (* -1 (/ (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a))))))) (+ 1 (exp (neg a))))) (* b (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (* 1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2)))))))))
(+ (exp (neg (log (+ 1 (exp (neg a)))))) (* b (+ (* -1 (/ (* (exp (neg a)) (exp (neg (log (+ 1 (exp (neg a))))))) (+ 1 (exp (neg a))))) (* b (+ (* b (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/6 (+ (* -3 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (/ (exp (neg a)) (+ 1 (exp (neg a))))))) (+ (* -1/6 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (+ 1 (exp (neg a))))))))) (* (exp (neg (log (+ 1 (exp (neg a)))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (* 1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))))))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(exp (neg (log (+ 1 (exp (neg (+ a (* -1 b))))))))
(exp (neg (log (+ 1 (exp b)))))
(+ (exp (neg (log (+ 1 (exp b))))) (/ (* a (* (exp b) (exp (neg (log (+ 1 (exp b))))))) (+ 1 (exp b))))
(+ (exp (neg (log (+ 1 (exp b))))) (* a (+ (* a (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2)))))) (/ (* (exp b) (exp (neg (log (+ 1 (exp b)))))) (+ 1 (exp b))))))
(+ (exp (neg (log (+ 1 (exp b))))) (* a (+ (* a (+ (* a (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (+ 1 (exp b)))) (+ (* -1/6 (+ (* -2 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))) (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 3 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2)))))) (* 1/6 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))))))) (* (exp (neg (log (+ 1 (exp b))))) (+ (* -1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))) (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))))))) (/ (* (exp b) (exp (neg (log (+ 1 (exp b)))))) (+ 1 (exp b))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (- b a))))))
(exp (neg (log (+ 1 (exp (+ b (* -1 a)))))))
(exp (neg (log (+ 1 (exp (+ b (* -1 a)))))))
(exp (neg (log (+ 1 (exp (+ b (* -1 a)))))))
(exp (neg (log (+ 1 (exp (+ b (* -1 a)))))))
(* -1 (log (+ 1 (exp (neg a)))))
(- (* -1 (/ (* b (exp (neg a))) (+ 1 (exp (neg a))))) (log (+ 1 (exp (neg a)))))
(- (* b (- (* -1/2 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a))))))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (log (+ 1 (exp (neg a)))))
(- (* b (- (* b (- (* -1/6 (* b (+ (* -3 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))) (log (+ 1 (exp (neg a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (log (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (log (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (log (+ 1 (exp (neg (+ a (* -1 b)))))))
(* -1 (log (+ 1 (exp b))))
(- (/ (* a (exp b)) (+ 1 (exp b))) (log (+ 1 (exp b))))
(- (* a (- (* -1/2 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b)))))) (* -1 (/ (exp b) (+ 1 (exp b)))))) (log (+ 1 (exp b))))
(- (* a (- (* a (- (* -1/6 (* a (+ (* -2 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))) (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 3 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))))))) (* 1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))))) (* -1 (/ (exp b) (+ 1 (exp b)))))) (log (+ 1 (exp b))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (- b a)))))
(* -1 (log (+ 1 (exp (+ b (* -1 a))))))
(* -1 (log (+ 1 (exp (+ b (* -1 a))))))
(* -1 (log (+ 1 (exp (+ b (* -1 a))))))
(* -1 (log (+ 1 (exp (+ b (* -1 a))))))
(log (+ 1 (exp (neg a))))
(+ (log (+ 1 (exp (neg a)))) (/ (* b (exp (neg a))) (+ 1 (exp (neg a)))))
(+ (log (+ 1 (exp (neg a)))) (* b (+ (* 1/2 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a))))))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))
(+ (log (+ 1 (exp (neg a)))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -3 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (+ (* 2 (/ (pow (exp (neg a)) 3) (pow (+ 1 (exp (neg a))) 3))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))) (* 1/2 (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 2))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))) (/ (exp (neg a)) (+ 1 (exp (neg a)))))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (neg (+ a (* -1 b))))))
(log (+ 1 (exp (neg (+ a (* -1 b))))))
(log (+ 1 (exp (neg (+ a (* -1 b))))))
(log (+ 1 (exp (neg (+ a (* -1 b))))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (* -1 (/ (* a (exp b)) (+ 1 (exp b)))))
(+ (log (+ 1 (exp b))) (* a (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 1/2 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b)))))))))
(+ (log (+ 1 (exp b))) (* a (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* a (+ (* 1/6 (* a (+ (* -2 (/ (pow (exp b) 3) (pow (+ 1 (exp b)) 3))) (+ (* -1 (/ (exp b) (+ 1 (exp b)))) (* 3 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))))))) (* 1/2 (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 2))) (/ (exp b) (+ 1 (exp b))))))))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (- b a))))
(log (+ 1 (exp (+ b (* -1 a)))))
(log (+ 1 (exp (+ b (* -1 a)))))
(log (+ 1 (exp (+ b (* -1 a)))))
(log (+ 1 (exp (+ b (* -1 a)))))
(exp (neg a))
(+ (exp (neg a)) (* b (exp (neg a))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp b)
(+ (exp b) (* -1 (* a (exp b))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(+ 1 (exp (neg a)))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
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)))
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
(+ 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))

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

eval94.0ms (1.2%)

Compiler: Compiled 11790 to 1836 computations (84.4% saved)

prune95.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	933	11	944
Fresh	0	0	0
Picked	2	2	4
Done	0	0	0
Total	935	13	948

Accuracy

100.0%

Counts

948 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.4%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	39.8%	(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
	56.1%	(/.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 b #s(literal 1/6 binary64))))))))
▶	52.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	83.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	39.7%	(+.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)))))))
	39.0%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
▶	39.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	41.9%	(+.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 (*.f64 a a) #s(literal 1/480 binary64))))))))
▶	41.8%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
	42.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
▶	41.9%	#s(literal 1/2 binary64)

Compiler

Compiled 266 to 205 computations (22.9% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	92
1	50	81
2	112	80
3	178	80
4	212	80
0	212	80

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize140.0ms (1.8%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 b #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a)))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.9%	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
✓	accuracy	99.7%	(.f64 #s(literal -1/48 binary64) (.f64 a a))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 b #s(literal -1/4 binary64))
✓	accuracy	100.0%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
✓	accuracy	100.0%	(exp.f64 a)

Results

111.0ms	255×	0	valid
1.0ms	1×	3	valid

Compiler

Compiled 101 to 23 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 10.0ms (35.6% of total)

ival-add: 6.0ms (21.4% of total)

ival-div: 4.0ms (14.2% of total)

...c/correct-round.rkt:119:19: 4.0ms (14.2% of total)

ival-exp: 2.0ms (7.1% of total)

const: 1.0ms (3.6% of total)

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

series11.0ms (0.1%)

Counts

14 → 168

Calls

Call 1

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

Outputs
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 a))>
#<alt (+ 1/2 (* a (+ 1/2 (* 1/4 a))))>
#<alt (+ 1/2 (* a (+ 1/2 (* a (+ 1/4 (* 1/12 a))))))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt (* 1/2 (exp a))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* b (- (* 1/2 (/ 1 b)) 1/4))>
#<alt (* -1/4 b)>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1 (* b (- 1/4 (* 1/2 (/ 1 b)))))>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt (* -1/4 b)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* a (+ 1/4 (* -1/48 (pow a 2))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt (* -1/48 (pow a 2))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 b))>
#<alt (+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))>
#<alt (+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (- (+ 2 (/ 16 (pow b 3))) (+ (* 4 (/ 1 b)) (* 32 (/ 1 (pow b 4))))) (pow b 2))>
#<alt (/ 2 (pow b 2))>
#<alt (/ (- 2 (* 4 (/ 1 b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- 4 (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt (/ (+ 2 (* -1 (/ (- (+ 4 (/ 32 (pow b 3))) (* 16 (/ 1 (pow b 2)))) b))) (pow b 2))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 (pow b 2))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt (* (pow b 2) (+ 1/2 (/ 1 b)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<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
2.0ms	b	@	inf	(* b 1/2)
1.0ms	b	@	inf	(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))
0.0ms	a	@	-inf	(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
0.0ms	a	@	inf	(+ 1/2 (* a (+ 1/4 (* -1/48 (* a a)))))
0.0ms	b	@	-inf	(/ 1 (+ 2 (* b (+ 1 (* b 1/2)))))

rewrite170.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1676×	`sum3-define`
1252×	`+-lowering-+.f64`
1252×	`+-lowering-+.f32`
1080×	`sum4-define`
1080×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	67	67
2	178	66
3	438	66
4	1029	66
5	2374	66
0	8119	66

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 476

Calls

Call 1

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

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

simplify243.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	1006
1	379	834
2	1101	829
3	3909	792
0	9250	792

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

eval420.0ms (5.5%)

Compiler: Compiled 8264 to 1484 computations (82% saved)

prune91.0ms (1.2%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	633	11	644
Fresh	1	5	6
Picked	1	4	5
Done	0	2	2
Total	635	22	657

Accuracy

100.0%

Counts

657 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
✓	66.4%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	16.2%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
	52.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))))
	52.4%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
▶	56.1%	(/.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 b #s(literal 1/6 binary64))))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	83.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶	52.2%	(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))))
	39.7%	(+.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)))))))
	39.0%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.f64 b b)))))
✓	39.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	41.5%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
	41.9%	(+.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 (*.f64 a a) #s(literal 1/480 binary64))))))))
✓	41.8%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
	41.3%	(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
	42.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
▶	17.7%	(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
	18.8%	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
▶	12.2%	(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
▶	4.2%	(*.f64 #s(literal -1/4 binary64) b)
✓	41.9%	#s(literal 1/2 binary64)

Compiler

Compiled 463 to 341 computations (26.3% saved)

simplify219.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	384	(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))))
✓	cost-diff	128	(.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))))
✓	cost-diff	0	(*.f64 a a)
✓	cost-diff	0	(.f64 a (.f64 a a))
✓	cost-diff	0	(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
✓	cost-diff	0	(*.f64 #s(literal -1/4 binary64) b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	0	(/.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))))))))

Rules

2992×	`-lowering-.f32`
2992×	`-lowering-.f64`
2948×	`+-lowering-+.f64`
2948×	`+-lowering-+.f32`
1756×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	32	185
1	85	173
2	213	170
3	519	170
4	918	165
5	1375	161
6	1766	161
7	3666	161
8	5362	161
9	6751	161
10	7435	161
11	7936	161
0	8050	161

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
1
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
2
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
b
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* b (+ 1/2 (* b 1/6)))
(+ 1/2 (* b 1/6))
1/2
(* b 1/6)
1/6
(* -1/4 b)
-1/4
b
(* -1/48 (* a (* a a)))
-1/48
(* a (* a a))
a
(* a a)
(/ 1 (* b (+ 1 (+ (* 1/2 b) (/ 2 b)))))
1
(* b (+ 1 (+ (* 1/2 b) (/ 2 b))))
b
(+ 1 (+ (* 1/2 b) (/ 2 b)))
(+ (* 1/2 b) (/ 2 b))
(* 1/2 b)
1/2
(/ 2 b)
2
(* (* a (* a a)) (+ -1/48 (/ (/ (+ 1/4 (/ 1/2 a)) a) a)))
(* a (* a a))
a
(* a a)
(+ -1/48 (/ (/ (+ 1/4 (/ 1/2 a)) a) a))
-1/48
(/ (/ (+ 1/4 (/ 1/2 a)) a) a)
(/ (+ 1/4 (/ 1/2 a)) a)
(+ 1/4 (/ 1/2 a))
1/4
(/ 1/2 a)
1/2

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

localize178.0ms (2.3%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	99.8%	(/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)
✓	accuracy	58.2%	(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) b)
✓	accuracy	99.8%	(.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))))
✓	accuracy	100.0%	(*.f64 a a)
✓	accuracy	99.8%	(.f64 a (.f64 a a))
✓	accuracy	99.8%	(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
✓	accuracy	100.0%	(*.f64 #s(literal -1/4 binary64) b)
✓	accuracy	99.9%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
✓	accuracy	99.9%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
✓	accuracy	99.8%	(/.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))))))))
✓	accuracy	99.4%	(*.f64 b #s(literal 1/6 binary64))

Results

127.0ms

256×

valid

Compiler

Compiled 207 to 33 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-mult: 18.0ms (33.5% of total)

ival-add: 13.0ms (24.2% of total)

ival-div: 11.0ms (20.5% of total)

...c/correct-round.rkt:119:19: 11.0ms (20.5% of total)

const: 1.0ms (1.9% of total)

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

series16.0ms (0.2%)

Counts

19 → 228

Calls

Call 1

Inputs
#<alt (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))>
#<alt (+ 1 (* b (+ 1/2 (* b 1/6))))>
#<alt (* -1/4 b)>
#<alt (* -1/48 (* a (* a a)))>
#<alt (* a (* a a))>
#<alt (* a a)>
#<alt (* b (+ 1 (+ (* 1/2 b) (/ 2 b))))>
#<alt (/ 1 (* b (+ 1 (+ (* 1/2 b) (/ 2 b)))))>
#<alt (+ 1 (+ (* 1/2 b) (/ 2 b)))>
#<alt (+ (* 1/2 b) (/ 2 b))>
#<alt (* (* a (* a a)) (+ -1/48 (/ (/ (+ 1/4 (/ 1/2 a)) a) a)))>
#<alt (+ -1/48 (/ (/ (+ 1/4 (/ 1/2 a)) a) a))>
#<alt (* b 1/6)>
#<alt (* b (+ 1/2 (* b 1/6)))>
#<alt (* 1/2 b)>
#<alt (/ (+ 1/4 (/ 1/2 a)) a)>
#<alt (/ (/ (+ 1/4 (/ 1/2 a)) a) a)>

Outputs
#<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 (* 1/96 b))) 1/4)))>
#<alt (/ 6 (pow b 3))>
#<alt (/ (- 6 (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))>
#<alt (/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))>
#<alt (/ 6 (pow b 3))>
#<alt (* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))>
#<alt b>
#<alt (* b (+ 1 (* 1/2 b)))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 3))>
#<alt (* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))>
#<alt 1>
#<alt (+ 1 (* 1/2 b))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (+ 1 (* b (+ 1/2 (* 1/6 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<alt (* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))>
#<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 (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1/48 (pow a 3))>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 3)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 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 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 b)>
#<alt (/ (+ 2 b) b)>
#<alt (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)>
#<alt (/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ 1 b)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))>
#<alt (/ 2 b)>
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)>
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)>
#<alt (/ (+ 2 (* 1/2 (pow b 2))) b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))>
#<alt (* b (+ 1/2 (* 2 (/ 1 (pow b 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 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ (+ 1/2 (* 1/4 a)) (pow a 3))>
#<alt (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (pow a 3))>
#<alt (/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (pow a 3))>
#<alt -1/48>
#<alt (- (* 1/4 (/ 1 (pow a 2))) 1/48)>
#<alt (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)>
#<alt (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)>
#<alt -1/48>
#<alt (- (* 1/4 (/ 1 (pow a 2))) 1/48)>
#<alt (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)>
#<alt (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/6 b)>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* b (+ 1/2 (* 1/6 b)))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* 1/6 (pow b 2))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))>
#<alt (* (pow b 2) (+ 1/6 (* 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)>
#<alt (/ 1/2 (pow a 2))>
#<alt (/ (+ 1/2 (* 1/4 a)) (pow a 2))>
#<alt (/ (+ 1/2 (* 1/4 a)) (pow a 2))>
#<alt (/ (+ 1/2 (* 1/4 a)) (pow a 2))>
#<alt (/ 1/4 a)>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) a)>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) a)>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) a)>
#<alt (/ 1/4 a)>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) a)>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) a)>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) a)>
#<alt (/ 1/2 (pow a 3))>
#<alt (/ (+ 1/2 (* 1/4 a)) (pow a 3))>
#<alt (/ (+ 1/2 (* 1/4 a)) (pow a 3))>
#<alt (/ (+ 1/2 (* 1/4 a)) (pow a 3))>
#<alt (/ 1/4 (pow a 2))>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ 1/4 (pow a 2))>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))>
#<alt (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))>

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	b	@	-inf	(* b (+ 1/2 (* b 1/6)))
0.0ms	a	@	-inf	(/ (+ 1/4 (/ 1/2 a)) a)
0.0ms	a	@	0	(* -1/48 (* a (* a a)))
0.0ms	a	@	-inf	(* a (* a a))
0.0ms	a	@	-inf	(* (* a (* a a)) (+ -1/48 (/ (/ (+ 1/4 (/ 1/2 a)) a) a)))

rewrite236.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

2418×	`-lowering-.f32`
2418×	`-lowering-.f64`
1724×	`/-lowering-/.f32`
1724×	`/-lowering-/.f64`
1682×	`sum5-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	147
1	125	136
2	484	133
3	2184	126
4	7821	126
0	8670	126

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 789

Calls

Call 1

Inputs
(/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(+ 1 (* b (+ 1/2 (* b 1/6))))
(* -1/4 b)
(* -1/48 (* a (* a a)))
(* a (* a a))
(* a a)
(* b (+ 1 (+ (* 1/2 b) (/ 2 b))))
(/ 1 (* b (+ 1 (+ (* 1/2 b) (/ 2 b)))))
(+ 1 (+ (* 1/2 b) (/ 2 b)))
(+ (* 1/2 b) (/ 2 b))
(* (* a (* a a)) (+ -1/48 (/ (/ (+ 1/4 (/ 1/2 a)) a) a)))
(+ -1/48 (/ (/ (+ 1/4 (/ 1/2 a)) a) a))
(* b 1/6)
(* b (+ 1/2 (* b 1/6)))
(* 1/2 b)
(/ (+ 1/4 (/ 1/2 a)) a)
(/ (/ (+ 1/4 (/ 1/2 a)) a) a)

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

simplify253.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

4298×	`-lowering-.f32`
4298×	`-lowering-.f64`
2140×	`/-lowering-/.f32`
2140×	`/-lowering-/.f64`
1418×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	195	1600
1	595	1384
2	1869	1337
3	7618	1337
0	8103	1337

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

Calls

Call 1

Inputs
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 (* 1/96 b))) 1/4)))
(/ 6 (pow b 3))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/ 6 (pow b 3))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
b
(* b (+ 1 (* 1/2 b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 3))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
1
(+ 1 (* 1/2 b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(* -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)
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(* -1/48 (pow a 3))
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 3)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 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)))))
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 b)
(/ (+ 2 b) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(* 1/2 b)
(* b (+ 1/2 (/ 1 b)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(/ 2 b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(* 1/2 b)
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* 1/2 b)
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(/ 1/2 (pow a 3))
(/ (+ 1/2 (* 1/4 a)) (pow a 3))
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (pow a 3))
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (pow a 3))
-1/48
(- (* 1/4 (/ 1 (pow a 2))) 1/48)
(- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)
(- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)
-1/48
(- (* 1/4 (/ 1 (pow a 2))) 1/48)
(- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)
(- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/6 b)
(* 1/2 b)
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* b (+ 1/2 (* 1/6 b)))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* 1/6 (pow b 2))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(* (pow b 2) (+ 1/6 (* 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)
(/ 1/2 (pow a 2))
(/ (+ 1/2 (* 1/4 a)) (pow a 2))
(/ (+ 1/2 (* 1/4 a)) (pow a 2))
(/ (+ 1/2 (* 1/4 a)) (pow a 2))
(/ 1/4 a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/ 1/4 a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/ 1/2 (pow a 3))
(/ (+ 1/2 (* 1/4 a)) (pow a 3))
(/ (+ 1/2 (* 1/4 a)) (pow a 3))
(/ (+ 1/2 (* 1/4 a)) (pow a 3))
(/ 1/4 (pow a 2))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/ 1/4 (pow a 2))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))

Outputs
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 (- (* 1/48 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* 1/96 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 (.f64 b b) (+.f64 #s(literal 1/48 binary64) (.f64 b #s(literal 1/96 binary64)))))))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(/ (- 6 (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (.f64 b (.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (* 18 (/ 1 b))) (pow b 3))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b)) (.f64 b (.f64 b b)))
(/ (- (+ 6 (/ 18 (pow b 2))) (+ (* 18 (/ 1 b)) (* 18 (/ 1 (pow b 3))))) (pow b 3))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) b) #s(literal -18 binary64)) b) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) (.f64 b (.f64 b b))))) (.f64 b (.f64 b b)))
(/ 6 (pow b 3))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(* -1 (/ (- (* 18 (/ 1 b)) 6) (pow b 3)))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal -18 binary64) b)) (.f64 b (.f64 b b)))
(* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 6) (pow b 3)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b) #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 18 (/ 1 b)) 18) b)) 18) b)) 6) (pow b 3)))
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 18 binary64) (/.f64 #s(literal -18 binary64) b)) b) #s(literal -18 binary64)) b)) (-.f64 #s(literal 0 binary64) (.f64 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 (* b (+ 1/2 (* 1/6 b))))))
(+.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)))))))
(* 1/6 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (* 2 (/ 1 (pow b 3)))))))
(+.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)))))))
(* 1/6 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))) b)) 1/6)))
(.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (.f64 b b))) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b))))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* 1/6 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* 1/6 (pow b 3))
(.f64 (.f64 b (*.f64 b b)) #s(literal 1/6 binary64))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 b))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) b))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(+ 1 (* b (+ 1/2 (* 1/6 b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(* 1/6 (pow b 2))
(.f64 b (.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(* 1/6 (pow b 2))
(.f64 b (.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(* (pow b 2) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))
(* -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)
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 3)
(.f64 a (.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
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))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) b))
(+ 1/2 (* b (- (* 1/16 (pow b 2)) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/16 binary64))))))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/16 (* -1/32 b))) 1/4)))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (.f64 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 b (.f64 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 -16 binary64) (.f64 b b))) (/.f64 #s(literal 32 binary64) (.f64 b (.f64 b b)))) b)) (.f64 b b))
(/ 2 b)
(/.f64 #s(literal 2 binary64) b)
(/ (+ 2 b) b)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))
(/ (+ 2 (* b (+ 1 (* 1/2 b)))) b)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 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) (/ 2 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))
(* b (+ 1/2 (+ (/ 1 b) (/ 2 (pow b 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 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))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (neg.f64 (/.f64 (+.f64 b #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))))
(* -1 (* b (- (* -1 (/ (+ 1 (* 2 (/ 1 b))) b)) 1/2)))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (neg.f64 (/.f64 (+.f64 b #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) b))))
(/ 2 b)
(/.f64 #s(literal 2 binary64) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 b b))) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 b b))) b)
(/ (+ 2 (* 1/2 (pow b 2))) b)
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 b b))) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
(* b (+ 1/2 (* 2 (/ 1 (pow b 2)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b))
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 (* -1/48 (pow a 2)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (.f64 a a))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal -1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a))))))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal -1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a))))))
(* -1/48 (pow a 3))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal -1/48 binary64) (.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 a a)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal -1/48 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (.f64 a a)))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (+.f64 #s(literal -1/48 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) a)) (.f64 a a)))))
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ (+ 1/2 (* 1/4 a)) (pow a 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) (.f64 a (*.f64 a a)))
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (pow a 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a))))) (.f64 a (*.f64 a a)))
(/ (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2))))) (pow a 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (.f64 a a))))) (.f64 a (*.f64 a a)))
-1/48
#s(literal -1/48 binary64)
(- (* 1/4 (/ 1 (pow a 2))) 1/48)
(+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))
(- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)
(+.f64 #s(literal -1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)
(+.f64 #s(literal -1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
-1/48
#s(literal -1/48 binary64)
(- (* 1/4 (/ 1 (pow a 2))) 1/48)
(+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 a a)))
(- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)
(+.f64 #s(literal -1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48)
(+.f64 #s(literal -1/48 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/6 b)
(*.f64 b #s(literal 1/6 binary64))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (* 1/6 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* b (+ 1/2 (* 1/6 b)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* 1/6 (pow b 2))
(.f64 b (.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* 1/6 (pow b 2))
(.f64 b (.f64 b #s(literal 1/6 binary64)))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(/ 1/2 (pow a 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 a a))
(/ (+ 1/2 (* 1/4 a)) (pow a 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) (.f64 a a))
(/ (+ 1/2 (* 1/4 a)) (pow a 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) (.f64 a a))
(/ (+ 1/2 (* 1/4 a)) (pow a 2))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) (.f64 a a))
(/ 1/4 a)
(/.f64 #s(literal 1/4 binary64) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)
(/ 1/4 a)
(/.f64 #s(literal 1/4 binary64) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)
(/ (+ 1/4 (* 1/2 (/ 1 a))) a)
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)
(/ 1/2 (pow a 3))
(/.f64 #s(literal 1/2 binary64) (.f64 a (.f64 a a)))
(/ (+ 1/2 (* 1/4 a)) (pow a 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) (.f64 a (*.f64 a a)))
(/ (+ 1/2 (* 1/4 a)) (pow a 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) (.f64 a (*.f64 a a)))
(/ (+ 1/2 (* 1/4 a)) (pow a 3))
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/4 binary64) a)) (.f64 a (*.f64 a a)))
(/ 1/4 (pow a 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 a a))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))
(/ 1/4 (pow a 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 a a))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))
(/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (*.f64 a a))

eval126.0ms (1.6%)

Compiler: Compiled 17423 to 3015 computations (82.7% saved)

prune144.0ms (1.9%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	1074	13	1087
Fresh	3	8	11
Picked	4	1	5
Done	0	6	6
Total	1081	28	1109

Accuracy

100.0%

Counts

1109 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	41.6%	(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
✓	66.4%	(/.f64 (exp.f64 a) #s(literal 2 binary64))
	18.9%	(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
	16.2%	(/.f64 #s(literal 2 binary64) (*.f64 b b))
	56.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (+.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) b))))
	55.3%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓	83.1%	(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
	31.7%	(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (.f64 b b))) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))))
	41.8%	(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 #s(literal 2 binary64) b)))
	41.8%	(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 2 binary64) b)))))
	4.2%	(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
	39.7%	(+.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)))))))
	39.0%	(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 b (*.f64 b #s(literal 1/48 binary64))))))
✓	39.9%	(+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64)))
	41.5%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
	41.9%	(+.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 (*.f64 a a) #s(literal 1/480 binary64))))))))
✓	41.8%	(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
	41.3%	(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
	42.1%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
	24.7%	(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) (.f64 #s(literal -1/48 binary64) a)) (*.f64 a a))
	41.7%	(.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal -1/48 binary64) (*.f64 a a))) a)
	17.7%	(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) a)) a)))
	12.2%	(.f64 (.f64 a a) (*.f64 #s(literal -1/48 binary64) a))
	18.8%	(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
	12.2%	(.f64 #s(literal -1/48 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a))))
✓	4.2%	(*.f64 #s(literal -1/4 binary64) b)
✓	41.9%	#s(literal 1/2 binary64)

Compiler

Compiled 772 to 418 computations (45.9% saved)

regimes55.0ms (0.7%)

Counts

40 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	b
11.0ms	a
10.0ms	(exp.f64 b)
9.0ms	(exp.f64 a)
9.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Results

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

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes44.0ms (0.6%)

Counts

38 → 1

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 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 -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 #s(literal -1/48 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(.f64 #s(literal -1/48 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.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 b (*.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 #s(literal 1/2 binary64))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal -1/48 binary64) (*.f64 a a))) a)
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) (.f64 #s(literal -1/48 binary64) a)) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.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 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 2 binary64) b)))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) a)) a)))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (.f64 b b))) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))

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

Calls

4 calls:

12.0ms	a
11.0ms	b
9.0ms	(exp.f64 a)
9.0ms	(exp.f64 b)

Results

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes42.0ms (0.5%)

Counts

36 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 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 -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 #s(literal -1/48 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(.f64 #s(literal -1/48 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.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 b (*.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 #s(literal 1/2 binary64))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal -1/48 binary64) (*.f64 a a))) a)
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) (.f64 #s(literal -1/48 binary64) a)) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.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 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 2 binary64) b)))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) a)) a)))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (.f64 b b))) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))

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:

11.0ms	a
10.0ms	b
9.0ms	(exp.f64 b)
8.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
99.0%	2	`a`
98.9%	3	`b`
99.0%	2	`(exp.f64 a)`
98.9%	3	`(exp.f64 b)`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes32.0ms (0.4%)

Counts

35 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 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 -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 #s(literal -1/48 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(.f64 #s(literal -1/48 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.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 b (*.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 #s(literal 1/2 binary64))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal -1/48 binary64) (*.f64 a a))) a)
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) (.f64 #s(literal -1/48 binary64) a)) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.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 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 2 binary64) b)))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) a)) a)))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (.f64 b b))) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))))
(/.f64 (exp.f64 a) #s(literal 2 binary64))

Outputs
(/.f64 (exp.f64 a) #s(literal 2 binary64))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))

Calls

3 calls:

11.0ms	b
10.0ms	a
9.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
76.2%	2	`b`
74.2%	2	`a`
74.2%	2	`(exp.f64 a)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes23.0ms (0.3%)

Counts

34 → 2

Calls

Call 1

Inputs
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/4 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 -1/4 binary64) (/.f64 #s(literal 1 binary64) b))
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 b b))
(/.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 2 binary64))
(.f64 #s(literal -1/48 binary64) (.f64 a (*.f64 a a)))
(.f64 (.f64 a a) (*.f64 #s(literal -1/48 binary64) a))
(/.f64 #s(literal 1 binary64) (*.f64 b (/.f64 #s(literal 2 binary64) b)))
(/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (.f64 #s(literal -1/48 binary64) (*.f64 a a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64)))))
(.f64 #s(literal -1/48 binary64) (.f64 a (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) a) a))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/48 binary64) (*.f64 a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/4 binary64) (.f64 #s(literal 1/48 binary64) (*.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 b (*.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 #s(literal 1/2 binary64))))))
(.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) (.f64 #s(literal -1/48 binary64) (*.f64 a a))) a)
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2 binary64) b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 b (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 b #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b))))
(.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) (.f64 #s(literal -1/48 binary64) a)) (*.f64 a a))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))
(.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 (+.f64 #s(literal -1/48 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 a (*.f64 a a)))) a) a)))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a) a)))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 a (.f64 a (+.f64 #s(literal -1/48 binary64) (.f64 (*.f64 a a) #s(literal 1/480 binary64))))))))
(+.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 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) b))))
(/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 2 binary64) b)))))
(.f64 (.f64 a (*.f64 a a)) (+.f64 #s(literal -1/48 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) a)) a)) a)) a)))
(/.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) (/.f64 #s(literal -2 binary64) (.f64 b b))) b) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 b b)))))

Outputs

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

Calls

2 calls:

11.0ms	b
10.0ms	a

Results

Accuracy	Segments	Branch
60.8%	2	`a`
61.6%	3	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes25.0ms (0.3%)

Counts

31 → 3

Calls

Call 1

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

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

Calls

2 calls:

14.0ms	a
9.0ms	b

Results

Accuracy	Segments	Branch
61.6%	3	`b`
56.1%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	b
4.0ms	a

Results

Accuracy	Segments	Branch
46.4%	2	`a`
58.4%	3	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
54.6%	2	`b`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	a
3.0ms	b

Results

Accuracy	Segments	Branch
42.1%	1	`a`
42.1%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -24.3b remaining (-65.5%)

Threshold costs -24.3b (-65.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(literal 1/2 binary64)

Calls

2 calls:

1.0ms	a
1.0ms	b

Results

Accuracy	Segments	Branch
41.9%	1	`a`
41.9%	1	`b`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.9997994551736851

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.24551548208523e+88	6.040293977841708e+91

Results

8.0ms

128×

valid

Compiler

Compiled 151 to 114 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-exp: 2.0ms (57.5% of total)

ival-div: 1.0ms (28.7% of total)

ival-add: 1.0ms (28.7% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	-4.1515828378774906e+36	-1.484368916471739e+31

Results

10.0ms	144×	0	valid
2.0ms	31×	0	unsamplable

Compiler

Compiled 375 to 262 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-exp: 3.0ms (53.3% of total)

ival-div: 1.0ms (17.8% of total)

ival-add: 1.0ms (17.8% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.4800664228410253e+92	3.0563217702007043e+122
17.0ms	3.5963072826742116e-7	8096.523442987999

Results

22.0ms

336×

valid

Compiler

Compiled 415 to 304 computations (26.7% saved)

Precisions

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

ival-exp: 5.0ms (50.5% of total)

ival-div: 3.0ms (30.3% of total)

ival-add: 2.0ms (20.2% of total)

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	9.302400946303816e+129	2.6651195869100814e+132
16.0ms	3.5963072826742116e-7	8096.523442987999

Results

18.0ms

288×

valid

Compiler

Compiled 339 to 254 computations (25.1% saved)

Precisions

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

ival-exp: 4.0ms (47.2% of total)

ival-div: 2.0ms (23.6% of total)

ival-add: 2.0ms (23.6% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.5963072826742116e-7	8096.523442987999

Results

10.0ms

160×

valid

Compiler

Compiled 175 to 140 computations (20% saved)

Precisions

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

ival-exp: 3.0ms (60.7% of total)

ival-div: 1.0ms (20.2% of total)

ival-add: 1.0ms (20.2% of total)

const: 0.0ms (0% of total)

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

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary64`
34×	`+-commutative_binary64`
20×	`sub-neg_binary64`
16×	`neg-mul-1_binary64`
14×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	155
1	98	155
2	118	155
3	134	155
4	145	155
5	150	155
6	151	155

Stop Event

1×

saturated

Calls

Call 1

Inputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 60000000000000001155236703010698721602780286888517510541631619039659958280161066557565304832 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b))))
(if (<=.f64 a #s(literal -14999999999999999453844442447872 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 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)))))))))
(if (<=.f64 b #s(literal 380 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))))
(if (<=.f64 b #s(literal 285 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 2649999999999999983578754855536278736225321472482307777773792254364912585503497716781908129363777283762299221892932582382547673022464 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 7/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
#s(literal 1/2 binary64)

Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64)))
(if (<=.f64 (exp.f64 a) #s(literal 0 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 60000000000000001155236703010698721602780286888517510541631619039659958280161066557565304832 binary64)) (/.f64 (exp.f64 a) #s(literal 2 binary64)) (/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b))))
(if (<=.f64 a #s(literal -14999999999999999453844442447872 binary64)) (/.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 #s(literal -2 binary64) b))) (/.f64 #s(literal 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)))))))))
(if (<=.f64 b #s(literal 380 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 5800000000000000488541222450656255139219497959086120161124165150130208823228552602008286773659486388224 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 6 binary64) (.f64 b (.f64 b b)))))
(if (<=.f64 b #s(literal 285 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (if (<=.f64 b #s(literal 2649999999999999983578754855536278736225321472482307777773792254364912585503497716781908129363777283762299221892932582382547673022464 binary64)) (.f64 #s(literal -1/48 binary64) (.f64 a (.f64 a a))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 b #s(literal 7/4 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/4 binary64))) (/.f64 #s(literal 2 binary64) (.f64 b b)))
(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/4 binary64)))
#s(literal 1/2 binary64)

soundness1.9s (24.8%)

Rules

4322×	`-lowering-.f32`
4322×	`-lowering-.f64`
4298×	`-lowering-.f32`
4298×	`-lowering-.f64`
4294×	`-lowering-.f32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	147
1	125	136
2	484	133
3	2184	126
4	7821	126
0	8670	126
0	130	1006
1	379	834
2	1101	829
3	3909	792
0	9250	792
0	355	2713
1	1211	2443
2	4736	2321
0	8496	2321
0	120	714
1	360	655
2	1227	637
3	5176	633
0	8594	633
0	6	17
1	15	17
2	55	17
3	218	17
4	794	14
5	3400	14
0	8184	14
0	195	1600
1	595	1384
2	1869	1337
3	7618	1337
0	8103	1337

Stop Event

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

Compiler

Compiled 538 to 350 computations (34.9% saved)

preprocess81.0ms (1.1%)

Compiler: Compiled 356 to 166 computations (53.4% saved)

analyze13.0ms (0.2%)

sample1.0s (13.4%)

preprocess135.0ms (1.8%)

explain75.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize59.0ms (0.8%)

series6.0ms (0.1%)

rewrite229.0ms (3%)

simplify238.0ms (3.1%)

eval41.0ms (0.5%)

prune47.0ms (0.6%)

simplify48.0ms (0.6%)

localize294.0ms (3.8%)

series140.0ms (1.8%)

rewrite219.0ms (2.9%)

simplify277.0ms (3.6%)

eval94.0ms (1.2%)

prune95.0ms (1.2%)

simplify11.0ms (0.1%)

localize140.0ms (1.8%)

series11.0ms (0.1%)

rewrite170.0ms (2.2%)

simplify243.0ms (3.2%)

eval420.0ms (5.5%)

prune91.0ms (1.2%)

simplify219.0ms (2.9%)

localize178.0ms (2.3%)

series16.0ms (0.2%)

rewrite236.0ms (3.1%)

simplify253.0ms (3.3%)

eval126.0ms (1.6%)

prune144.0ms (1.9%)

regimes55.0ms (0.7%)

regimes44.0ms (0.6%)

regimes42.0ms (0.5%)

regimes32.0ms (0.4%)

regimes23.0ms (0.3%)

regimes25.0ms (0.3%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.2%)

bsearch19.0ms (0.2%)

bsearch37.0ms (0.5%)

bsearch30.0ms (0.4%)

bsearch17.0ms (0.2%)

simplify14.0ms (0.2%)

soundness1.9s (24.8%)

preprocess81.0ms (1.1%)

end0.0ms (0%)

Profiling