Metrics for symmetry log of sum of exp

analyze187.0ms (1.7%)

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
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
25%	25%	74.9%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
50%	50%	50%	0.1%	0%	0%	0%	6
50%	50%	50%	0.1%	0%	0%	0%	7
50%	50%	50%	0.1%	0%	0%	0%	8
50%	50%	50%	0.1%	0%	0%	0%	9
50%	50%	50%	0.1%	0%	0%	0%	10
50%	50%	50%	0.1%	0%	0%	0%	11
50%	50%	50%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-exp: 33.0ms (50% of total)

ival-log: 18.0ms (27.3% of total)

ival-add: 12.0ms (18.2% of total)

const: 2.0ms (3% of total)

backward-pass: 1.0ms (1.5% of total)

sample5.4s (48.6%)

Results

2.6s	7834×	5	exit
1.2s	1723×	2	valid
574.0ms	2227×	1	valid
301.0ms	4306×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.9s

ival-log: 1.1s (38.2% of total)

ival-exp: 789.0ms (27.3% of total)

backward-pass: 737.0ms (25.5% of total)

ival-add: 244.0ms (8.4% of total)

const: 18.0ms (0.6% of total)

Bogosity

preprocess18.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

40×	`fma-define`
32×	`sum3-define`
24×	`sub-neg`
22×	`+-commutative`
16×	`exp-diff`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(log (+ (exp a) (exp b)))

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

Call 2

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

Outputs
(log (+ (exp a) (exp b)))
(logaddexp a b)
(log (+ (exp (neg a)) (exp b)))
(logaddexp b (neg a))
(log (+ (exp a) (exp (neg b))))
(logaddexp a (neg b))
(neg (log (+ (exp (neg a)) (exp b))))
(neg (logaddexp b (neg a)))
(neg (log (+ (exp a) (exp (neg b)))))
(neg (logaddexp a (neg b)))
(log (+ (exp b) (exp a)))
(logaddexp a b)

Symmetry

(sort a b)

explain161.0ms (1.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(log.f64 (+.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

60.0ms	88×	2	valid
41.0ms	144×	1	valid
26.0ms	280×	0	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-log: 36.0ms (46.2% of total)

ival-exp: 29.0ms (37.2% of total)

backward-pass: 7.0ms (9% of total)

ival-add: 5.0ms (6.4% of total)

const: 1.0ms (1.3% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.6%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

4×	`exp-lowering-exp.f32`
4×	`+-lowering-+.f64`
4×	`logaddexp-define`
4×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	8	14
2	9	14
0	9	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
a
(exp b)
b

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

localize92.0ms (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	55.6%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

37.0ms	140×	0	valid
27.0ms	44×	2	valid
20.0ms	72×	1	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-log: 18.0ms (49.4% of total)

ival-exp: 13.0ms (35.7% of total)

ival-add: 3.0ms (8.2% of total)

backward-pass: 3.0ms (8.2% of total)

const: 0.0ms (0% of total)

series90.0ms (0.8%)

Counts

4 → 72

Calls

Call 1

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

Outputs
#<alt (log (+ 1 (exp b)))>
#<alt (+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))>
#<alt (+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (log (+ (exp a) (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt 1>
#<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
31.0ms	a	@	inf	(log (+ (exp a) (exp b)))
21.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
18.0ms	b	@	inf	(log (+ (exp a) (exp b)))
18.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite22.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4×	`exp-lowering-exp.f32`
4×	`+-lowering-+.f64`
4×	`logaddexp-define`
4×	`+-lowering-+.f32`
4×	`exp-lowering-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	8	12
2	9	12
0	9	12

Stop Event

1×	iter limit
1×	saturated

Counts

4 → 5

Calls

Call 1

Inputs
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
(exp b)

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

simplify353.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

4588×	`+-lowering-+.f64`
4588×	`+-lowering-+.f32`
4452×	`-lowering-.f32`
4452×	`-lowering-.f64`
1764×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	480
1	291	446
2	963	442
3	3348	440
0	8044	440

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

eval7.0ms (0.1%)

Compiler: Compiled 688 to 116 computations (83.1% saved)

prune10.0ms (0.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	69	8	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	69	9	78

Accuracy

99.7%

Counts

78 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	50.6%	(log1p.f64 (exp.f64 b))
▶	52.9%	(log1p.f64 (exp.f64 a))
▶	55.1%	(log.f64 (+.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))))))))
	54.9%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
▶	54.4%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	55.6%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	52.5%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	50.6%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 166 to 126 computations (24.1% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	0	(+.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)))))))
✓	cost-diff	128	(log.f64 (+.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))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	cost-diff	128	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	cost-diff	128	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

Rules

1050×	`fma-define`
916×	`fma-lowering-fma.f32`
916×	`fma-lowering-fma.f64`
844×	`sum3-define`
782×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	143
1	55	130
2	149	126
3	357	126
4	810	126
5	1508	126
6	2045	126
7	2058	126
0	2058	126

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(exp a)
a
(/ b (+ 1 (exp a)))
b
(+ 1 (exp a))
1
(log (+ 1 (exp a)))
(exp a)
a
(log (+ 1 (exp b)))
(+ 1 (exp b))
1
(exp b)
b
(log (+ (exp a) (+ 1 b)))
(+ (exp a) (+ 1 b))
(exp a)
a
(+ 1 b)
1
b
(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 1 (exp a))
1
(exp a)
a
(* 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

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

localize365.0ms (3.3%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
✓	accuracy	99.5%	(*.f64 b #s(literal 1/6 binary64))
✓	accuracy	57.5%	(log.f64 (+.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))))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
✓	accuracy	57.5%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓	accuracy	99.6%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))

Results

270.0ms	121×	2	valid
48.0ms	130×	0	valid
2.0ms	1×	5	exit
1.0ms	3×	0	invalid
1.0ms	1×	1	valid

Compiler

Compiled 150 to 24 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 192.0ms

ival-log: 66.0ms (34.3% of total)

compiled-spec: 31.0ms (16.1% of total)

ival-exp: 26.0ms (13.5% of total)

backward-pass: 22.0ms (11.4% of total)

ival-add: 22.0ms (11.4% of total)

ival-mult: 11.0ms (5.7% of total)

...c/correct-round.rkt:119:19: 9.0ms (4.7% of total)

ival-div: 4.0ms (2.1% of total)

const: 1.0ms (0.5% of total)

series262.0ms (2.4%)

Counts

16 → 264

Calls

Call 1

Inputs
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (exp a)>
#<alt (/ b (+ 1 (exp a)))>
#<alt (log (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (log (+ (exp a) (+ 1 b)))>
#<alt (+ (exp a) (+ 1 b))>
#<alt (+ 1 b)>
#<alt (log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))>
#<alt (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))>
#<alt (+ 1 (exp a))>
#<alt (* b 1/6)>
#<alt (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))>
#<alt (* b (+ 1/2 (* b 1/6)))>

Outputs
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))>
#<alt (+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 1 (exp a)))>
#<alt (log (+ 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 (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* 1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 1 (exp b)))>
#<alt (log (+ 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 (log (+ 2 b))>
#<alt (+ (log (+ 2 b)) (/ a (+ 2 b)))>
#<alt (+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))>
#<alt (+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (+ b (exp a))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))>
#<alt (+ 2 b)>
#<alt (+ 2 (+ a b))>
#<alt (+ 2 (+ b (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ b (exp a)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt (* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt (+ 1 b)>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt b>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (* b (+ 1 (/ 1 b)))>
#<alt (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))>
#<alt (+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (log 1/6) (* -3 (log (/ 1 b))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))>
#<alt (+ (log -1/6) (* -3 (log (/ -1 b))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))>
#<alt (+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))>
#<alt (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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 (* 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)) (+ (/ 1 (pow b 3)) (/ (exp a) (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 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (* 1/6 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 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 (* 1/2 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))))>

Calls

66 calls:

Time	Variable		Point	Expression
70.0ms	a	@	inf	(log (+ (exp a) (+ 1 b)))
45.0ms	a	@	-inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
30.0ms	a	@	-inf	(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
30.0ms	a	@	inf	(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
23.0ms	a	@	inf	(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))

rewrite255.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`-lowering-.f32`
1492×	`-lowering-.f64`
1490×	`fma-lowering-fma.f32`
1490×	`fma-lowering-fma.f64`
1428×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	102
1	62	92
2	193	88
3	548	88
4	1713	88
5	7896	88
0	8040	88

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 561

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(exp a)
(/ b (+ 1 (exp a)))
(log (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(log (+ (exp a) (+ 1 b)))
(+ (exp a) (+ 1 b))
(+ 1 b)
(log (+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6)))))))
(+ (+ 1 (exp a)) (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))
(+ 1 (exp a))
(* b 1/6)
(* b (+ 1 (* b (+ 1/2 (* b 1/6)))))
(* b (+ 1/2 (* b 1/6)))

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

simplify265.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4104×	`-lowering-.f32`
4104×	`-lowering-.f64`
4086×	`+-lowering-+.f64`
4086×	`+-lowering-+.f32`
1450×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	359	2487
1	1115	2192
2	4036	2167
0	8875	2167

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 264

Calls

Call 1

Inputs
(+ (log 2) (* 1/2 b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(/ b (+ 1 (exp a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 1 (exp a)))
(log (+ 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)
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 1 (exp b)))
(log (+ 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)
(log (+ 2 b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (+ b (exp a))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (- (* 1/3 (/ b (pow (+ 1 (exp a)) 3))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (+ (/ 1 b) (/ (exp a) b)))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (/ 1 b) (/ (exp a) b))))
(+ (* -1 (log (/ 1 b))) (+ (* -1/2 (/ (pow (+ 1 (exp a)) 2) (pow b 2))) (+ (* 1/3 (/ (pow (+ 1 (exp a)) 3) (pow b 3))) (+ (/ 1 b) (/ (exp a) b)))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (+ (/ 1 b) (/ (exp a) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* 1/2 (/ (pow (+ 1 (exp a)) 2) b))) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (+ (* -1 (+ 1 (exp a))) (* -1 (/ (+ (* -1/2 (pow (+ 1 (exp a)) 2)) (* 1/3 (/ (pow (+ 1 (exp a)) 3) b))) b))) b))))
(+ 2 b)
(+ 2 (+ a b))
(+ 2 (+ b (* a (+ 1 (* 1/2 a)))))
(+ 2 (+ b (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
(+ 1 (+ b (exp a)))
b
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
(* b (+ 1 (+ (/ 1 b) (/ (exp a) b))))
b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
1
(+ 1 b)
(+ 1 b)
(+ 1 b)
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
b
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(* b (+ 1 (/ 1 b)))
(log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ a (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(+ (log (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 3))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))) (* 3 (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (* 1/2 (- (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))) (/ 1 (pow (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))) 2)))))) (/ 1 (+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(+ (log 1/6) (* -3 (log (/ 1 b))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (* 3 (/ 1 b))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+ (log 1/6) (+ (* -3 (log (/ 1 b))) (+ (* 1/6 (/ (- (* 36 (+ 1 (exp a))) 54) (pow b 3))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2))))))
(+ (log -1/6) (* -3 (log (/ -1 b))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* 3 (/ 1 b))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 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)))))))
(* 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 (pow b 3)) (/ (exp a) (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 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(* 1/6 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)
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)))
(* 1/2 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))))

Outputs
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (+ (* 1/2 b) (* a (- 1/2 (* 1/4 b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal -1/4 binary64))))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))) (.f64 b #s(literal -1/4 binary64))))))
(+ (log 2) (+ (* 1/2 b) (* a (- (+ 1/2 (* a (- (+ 1/8 (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 b)))))
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) b)) (.f64 a (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 a (-.f64 #s(literal 1/8 binary64) (.f64 a (.f64 b #s(literal -1/48 binary64))))) (.f64 b #s(literal -1/4 binary64))))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))))
(* b (+ (/ 1 (+ 1 (exp a))) (/ (log (+ 1 (exp a))) b)))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(+.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (pow a 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(log (+ 1 (exp a)))
(log1p.f64 (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 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 (.f64 a #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(.f64 b (+.f64 (.f64 a #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64))) (.f64 b #s(literal -1/4 binary64)))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (* b (+ 1/2 (* 1/8 b))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+ (log 2) (* b (+ 1/2 (* b (+ 1/8 (* -1/192 (pow b 2)))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
(log (+ 1 (exp b)))
(log1p.f64 (exp.f64 b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 #s(literal 2 binary64) b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(+ 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 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (exp b))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
1
#s(literal 1 binary64)
(+ 1 b)
(+.f64 b #s(literal 1 binary64))
(+ 1 (* b (+ 1 (* 1/2 b))))
(+.f64 #s(literal 1 binary64) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 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)
(log (+ 2 b))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(+ (log (+ 2 b)) (/ a (+ 2 b)))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (/.f64 a (+.f64 #s(literal 2 binary64) b)))
(+ (log (+ 2 b)) (* a (+ (* 1/2 (* a (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2))))) (/ 1 (+ 2 b)))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 (.f64 #s(literal 1/2 binary64) a) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) (.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))))))))
(+ (log (+ 2 b)) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 2 b) 3))) (/ 1 (+ 2 b))) (* 3 (/ 1 (pow (+ 2 b) 2)))))) (* 1/2 (- (/ 1 (+ 2 b)) (/ 1 (pow (+ 2 b) 2)))))) (/ 1 (+ 2 b)))))
(+.f64 (log.f64 (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 a (+.f64 (.f64 (.f64 a #s(literal 1/6 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) b)) (.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))) (/.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 2 binary64) b)) (+.f64 #s(literal 2 binary64) b))))) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) b) (+.f64 #s(literal 2 binary64) b))))))))))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (+ b (exp a))))
(log1p.f64 (+.f64 b (exp.f64 a)))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+ (log (+ 1 (exp a))) (* b (+ (* -1/2 (/ b (pow (+ 1 (exp a)) 2))) (/ 1 (+ 1 (exp a))))))
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(+.f64 #s(literal 1 binary64) (+.f64 (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))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (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))))))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (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))))))))
(+ 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 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 binary64))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 1 binary64) (+.f64 (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))))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 b (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (.f64 b b))))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (+ (/ 1 (pow b 2)) (+ (/ 1 (pow b 3)) (/ (exp a) (pow b 3)))))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (+.f64 (/.f64 (exp.f64 a) (.f64 b (.f64 b b))) (/.f64 #s(literal 1 binary64) (.f64 b b))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 1 (exp a)) b)) 1) b))) b)) 1/6)))
(.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a)) b)) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 #s(literal 2 binary64) a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(* 1/6 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))
b
(* b (+ 1 (* 1/2 b)))
(.f64 b (+.f64 (.f64 #s(literal 1/2 binary64) b) #s(literal 1 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))))))
(* 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 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 b (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (.f64 b b))))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 b (.f64 (.f64 b b) (+.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 1 binary64) (.f64 b b))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 b (*.f64 b #s(literal 1/6 binary64))))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (*.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
(* -1 (* (pow b 3) (- (* -1 (/ (+ 1/2 (/ 1 b)) b)) 1/6)))
(.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) b)) b)) (-.f64 #s(literal 0 binary64) (.f64 b (*.f64 b b))))
(* 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 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* 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 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))
(* (pow b 2) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 b (.f64 b (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) b))))

eval209.0ms (1.9%)

Compiler: Compiled 15218 to 2233 computations (85.3% saved)

prune115.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	1002	12	1014
Fresh	3	0	3
Picked	4	1	5
Done	1	0	1
Total	1010	13	1023

Accuracy

99.7%

Counts

1023 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	50.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	50.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
▶	49.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
	48.5%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
▶	50.2%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	52.9%	(log1p.f64 (exp.f64 a))
	49.9%	(log1p.f64 #s(literal 1 binary64))
▶	50.1%	(log.f64 (+.f64 #s(literal 2 binary64) b))
▶	1.2%	(log.f64 b)

Compiler

Compiled 237 to 192 computations (19% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))
✓	cost-diff	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))
✓	cost-diff	(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))
✓	cost-diff	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	cost-diff	(*.f64 #s(literal 1/2 binary64) a)
✓	cost-diff	(log.f64 #s(literal 2 binary64))
✓	cost-diff	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
✓	cost-diff	(+.f64 #s(literal 2 binary64) b)
✓	cost-diff	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	cost-diff	(log.f64 b)
✓	cost-diff	(exp.f64 a)
✓	cost-diff	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))

Rules

160×	`fma-define`
148×	`fma-lowering-fma.f32`
148×	`fma-lowering-fma.f64`
76×	`+-lowering-+.f64`
76×	`+-lowering-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	78
1	38	71
2	70	70
3	130	70
4	206	70
5	235	70
6	245	70
7	246	70
0	246	70

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ b (+ 1 (exp a)))
b
(+ 1 (exp a))
1
(exp a)
a
(log b)
b
(log (+ 2 b))
(+ 2 b)
2
b
(+ (log 2) (* 1/2 a))
(log 2)
2
(* 1/2 a)
1/2
a
(log (+ 1 (+ 1 (* a (+ 1 (* 1/2 a))))))
(+ 1 (* a (+ 1 (* 1/2 a))))
1
(* a (+ 1 (* 1/2 a)))
a
(+ 1 (* 1/2 a))
(* 1/2 a)
1/2

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

localize102.0ms (0.9%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) a))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) a)
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))
✓	accuracy	90.9%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) a)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) b)
✓	accuracy	100.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))

Results

45.0ms	152×	0	valid
33.0ms	104×	0	invalid

Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

compiled-spec: 12.0ms (29.8% of total)

ival-log: 11.0ms (27.3% of total)

ival-add: 9.0ms (22.3% of total)

ival-mult: 3.0ms (7.4% of total)

ival-div: 2.0ms (5% of total)

ival-exp: 2.0ms (5% of total)

const: 1.0ms (2.5% of total)

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

series44.0ms (0.4%)

Counts

13 → 156

Calls

Call 1

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

Outputs
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (/ b (+ 1 (exp a)))>
#<alt 2>
#<alt (+ 2 a)>
#<alt (+ 2 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (exp a))>
#<alt 1>
#<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 (log b)>
#<alt (log b)>
#<alt (log b)>
#<alt (log b)>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* b (+ 1/2 (* -1/8 b))))>
#<alt (+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8)))))>
#<alt (* -1 (log (/ 1 b)))>
#<alt (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))>
#<alt (- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))>
#<alt (- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))>
#<alt 2>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt (+ 2 b)>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt b>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (* b (+ 1 (* 2 (/ 1 b))))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* a (+ 1/2 (/ (log 2) a)))>
#<alt (* 1/2 a)>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (* 1/2 a)>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* 1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a))))))>
#<alt (+ (log 1/2) (* -2 (log (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))>
#<alt (- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3))))>
#<alt (+ (log 1/2) (* -2 (log (/ -1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))>
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt (* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))>
#<alt a>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* a (+ 1 (* 1/2 a)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 (pow a 2))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt (* (pow a 2) (+ 1/2 (/ 1 a)))>
#<alt 1>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (+ 1 (* 1/2 a))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* 1/2 a)>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>
#<alt (* a (+ 1/2 (/ 1 a)))>

Calls

39 calls:

Time	Variable		Point	Expression
15.0ms	b	@	-inf	(log b)
15.0ms	b	@	0	(log b)
6.0ms	b	@	inf	(log b)
3.0ms	a	@	0	(+ (log 2) (* 1/2 a))
0.0ms	a	@	inf	(log (+ 1 (+ 1 (* a (+ 1 (* 1/2 a))))))

rewrite180.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1448×	`sum3-define`
1414×	`sum5-define`
1304×	`fma-lowering-fma.f32`
1304×	`fma-lowering-fma.f64`
1290×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	63
1	45	56
2	115	55
3	329	55
4	899	55
5	3060	55
0	8207	55

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 262

Calls

Call 1

Inputs
(/ b (+ 1 (exp a)))
(+ 1 (exp a))
(exp a)
(log b)
(log (+ 2 b))
(+ 2 b)
(+ (log 2) (* 1/2 a))
(log 2)
(* 1/2 a)
(log (+ 1 (+ 1 (* a (+ 1 (* 1/2 a))))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* a (+ 1 (* 1/2 a)))
(+ 1 (* 1/2 a))

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

simplify194.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2602×	`-lowering-.f32`
2602×	`-lowering-.f64`
2028×	`sum5-define`
1968×	`fma-lowering-fma.f32`
1968×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	170	963
1	530	841
2	1668	822
3	6451	822
0	8093	822

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
(/ b (+ 1 (exp a)))
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
1
(+ 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)
(log b)
(log b)
(log b)
(log b)
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(* -1 (log (/ 1 b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (* -1 (log (/ -1 b))))
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* b (+ 1/2 (* -1/8 b))))
(+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8)))))
(* -1 (log (/ 1 b)))
(+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))
(- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))
(- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))
(+ (log -1) (* -1 (log (/ -1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))
2
(+ 2 b)
(+ 2 b)
(+ 2 b)
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
b
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(* b (+ 1 (* 2 (/ 1 b))))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(+ (log 2) (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* a (+ 1/2 (/ (log 2) a)))
(* 1/2 a)
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(* 1/2 a)
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a))))))
(+ (log 1/2) (* -2 (log (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3))))
(+ (log 1/2) (* -2 (log (/ -1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a))))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* 1/2 a))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
a
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* a (+ 1 (* 1/2 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* 1/2 (pow a 2))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
1
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(+ 1 (* 1/2 a))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* 1/2 a)
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))
(* a (+ 1/2 (/ 1 a)))

Outputs
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* 1/2 b)
(*.f64 b #s(literal 1/2 binary64))
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 b) (* a (- (* -1 (* a (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(+ (* 1/2 b) (* a (- (* a (- (* -1 (* a (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* -1/8 b) (* 1/8 b)))) (* 1/4 b))))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
2
#s(literal 2 binary64)
(+ 2 a)
(+.f64 a #s(literal 2 binary64))
(+ 2 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
1
#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)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(log b)
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(* -1 (log (/ 1 b)))
(log.f64 b)
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* b (+ 1/2 (* -1/8 b))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/8 binary64)))))
(+ (log 2) (* b (+ 1/2 (* b (- (* 1/24 b) 1/8)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal -1/8 binary64) (*.f64 b #s(literal 1/24 binary64)))))))
(* -1 (log (/ 1 b)))
(log.f64 b)
(+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b)))
(+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b))
(- (+ (* -1 (log (/ 1 b))) (* 2 (/ 1 b))) (/ 2 (pow b 2)))
(+.f64 (log.f64 b) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) b)) b))
(- (+ (* -1 (log (/ 1 b))) (+ (* 2 (/ 1 b)) (* 8/3 (/ 1 (pow b 3))))) (/ 2 (pow b 2)))
(+.f64 (+.f64 (log.f64 b) (/.f64 #s(literal 2 binary64) b)) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) b) #s(literal -2 binary64)) (*.f64 b b)))
(+ (log -1) (* -1 (log (/ -1 b))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* 2 (/ 1 b))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) b) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* 2 (/ 1 b)) 2) b))))
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) b)) b) (log.f64 (/.f64 #s(literal -1 binary64) b))))
(+ (log -1) (+ (* -1 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 b)) 2) b)) 2) b))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b))) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) b) #s(literal -2 binary64)) b)) b))
2
#s(literal 2 binary64)
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
(+ 2 b)
(+.f64 b #s(literal 2 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
b
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(* b (+ 1 (* 2 (/ 1 b))))
(+.f64 b #s(literal 2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* a (+ 1/2 (/ (log 2) a)))
(+.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 a #s(literal -1/2 binary64))))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 a #s(literal -1/2 binary64))))
(* -1 (* a (- (* -1 (/ (log 2) a)) 1/2)))
(-.f64 #s(literal 0 binary64) (+.f64 (neg.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 a #s(literal -1/2 binary64))))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (*.f64 a #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (* a (+ 1/2 (* 1/8 a))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/12 a))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (*.f64 a #s(literal -1/12 binary64)))))))
(+ (log 1/2) (* -2 (log (/ 1 a))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 a)))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (* 2 (/ 1 a))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 a)) (/.f64 #s(literal 2 binary64) a)))
(+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(+.f64 (.f64 #s(literal 2 binary64) (log.f64 a)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 2 binary64) (.f64 a a)))))
(- (+ (log 1/2) (+ (* -2 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2))))) (* 16/3 (/ 1 (pow a 3))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) (log.f64 a))) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -16/3 binary64) a)) (.f64 a a))))
(+ (log 1/2) (* -2 (log (/ -1 a))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* 2 (/ 1 a))))
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) a)))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (+ (* 2 (/ 1 a)) (/ 2 (pow a 2)))))
(+.f64 (.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) a) (/.f64 #s(literal 2 binary64) (.f64 a a)))))
(+ (log 1/2) (+ (* -2 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- 2 (* 16/3 (/ 1 a))) a)) 2) a))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 16/3 binary64) a)) a)) 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 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(* 1/2 (pow a 2))
(.f64 a (.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(* 1/2 (pow a 2))
(.f64 a (.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
(* (pow a 2) (+ 1/2 (+ (/ 1 a) (/ 1 (pow a 2)))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))
a
(* a (+ 1 (* 1/2 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* a (+ 1 (* 1/2 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* a (+ 1 (* 1/2 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* 1/2 (pow a 2))
(.f64 a (.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* 1/2 (pow a 2))
(.f64 a (.f64 a #s(literal 1/2 binary64)))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
(* (pow a 2) (+ 1/2 (/ 1 a)))
(.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(+ 1 (* 1/2 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(+ 1 (* 1/2 a))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* 1/2 a)
(*.f64 a #s(literal 1/2 binary64))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))
(* a (+ 1/2 (/ 1 a)))
(+.f64 #s(literal 1 binary64) (*.f64 a #s(literal 1/2 binary64)))

eval51.0ms (0.5%)

Compiler: Compiled 4144 to 705 computations (83% saved)

prune48.0ms (0.4%)

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	428	6	434
Fresh	1	6	7
Picked	1	4	5
Done	0	1	1
Total	430	17	447

Accuracy

99.7%

Counts

447 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.7%	(/.f64 b (+.f64 a #s(literal 2 binary64)))
	4.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
✓	51.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	11.6%	(/.f64 b #s(literal 2 binary64))
▶	50.4%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
▶	3.2%	(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	50.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	49.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
▶	5.2%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
▶	48.5%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	50.2%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	52.9%	(log1p.f64 (exp.f64 a))
	49.9%	(log1p.f64 #s(literal 1 binary64))
✓	50.1%	(log.f64 (+.f64 #s(literal 2 binary64) b))

Compiler

Compiled 293 to 229 computations (21.8% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 a #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 b a) #s(literal 1/48 binary64))
✓	cost-diff	0	(.f64 a (.f64 (*.f64 b a) #s(literal 1/48 binary64)))
✓	cost-diff	0	(.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64))))
✓	cost-diff	256	(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
✓	cost-diff	0	(*.f64 a #s(literal -1/4 binary64))
✓	cost-diff	0	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64)))
✓	cost-diff	0	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
✓	cost-diff	0	(/.f64 b #s(literal 2 binary64))
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 b #s(literal 1/2 binary64))
✓	cost-diff	0	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

Rules

266×	`fma-define`
240×	`fma-lowering-fma.f32`
240×	`fma-lowering-fma.f64`
174×	`-lowering-.f32`
174×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	106
1	51	98
2	110	97
3	197	95
4	307	94
5	370	93
6	380	93
0	380	93

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize140.0ms (1.3%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 a #s(literal 1 binary64))
✓	accuracy	100.0%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(.f64 a (.f64 (*.f64 b a) #s(literal 1/48 binary64)))
✓	accuracy	100.0%	(.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64))))
✓	accuracy	99.9%	(.f64 (.f64 b a) #s(literal 1/48 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(*.f64 a #s(literal -1/4 binary64))
✓	accuracy	100.0%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(/.f64 b #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 b #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))

Results

62.0ms	127×	0	invalid
44.0ms	129×	0	valid

Compiler

Compiled 111 to 22 computations (80.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 11.0ms (32% of total)

ival-add: 6.0ms (17.4% of total)

ival-log: 6.0ms (17.4% of total)

...c/correct-round.rkt:119:19: 4.0ms (11.6% of total)

compiled-spec: 4.0ms (11.6% of total)

ival-div: 2.0ms (5.8% of total)

const: 1.0ms (2.9% of total)

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

series15.0ms (0.1%)

Counts

13 → 204

Calls

Call 1

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

Outputs
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (+ (log 2) (* 1/2 b))>
#<alt (* 1/2 b)>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* b (+ 1/2 (/ (log 2) b)))>
#<alt (* 1/2 b)>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<alt (* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))>
#<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)>
#<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 (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* b (+ 1/2 (* -1/4 a)))>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (* -1/4 (* a b))>
#<alt (* a (+ (* -1/4 b) (* 1/2 (/ b a))))>
#<alt (* a (+ (* -1/4 b) (* 1/2 (/ b a))))>
#<alt (* a (+ (* -1/4 b) (* 1/2 (/ b a))))>
#<alt (* -1/4 (* a b))>
#<alt (* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))>
#<alt (* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))>
#<alt 1/2>
#<alt (+ 1/2 (* -1/4 a))>
#<alt (+ 1/2 (* -1/4 a))>
#<alt (+ 1/2 (* -1/4 a))>
#<alt (* -1/4 a)>
#<alt (* a (- (* 1/2 (/ 1 a)) 1/4))>
#<alt (* a (- (* 1/2 (/ 1 a)) 1/4))>
#<alt (* a (- (* 1/2 (/ 1 a)) 1/4))>
#<alt (* -1/4 a)>
#<alt (* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))>
#<alt (* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* -1/4 a)>
#<alt (* 1/2 b)>
#<alt (+ (* -1/4 (* a b)) (* 1/2 b))>
#<alt (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))>
#<alt (+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))>
#<alt (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))>
#<alt (* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))>
#<alt (* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))>
#<alt (* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))>
#<alt (* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))>
#<alt (* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))>
#<alt (* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))>
#<alt (* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))>
#<alt (* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))>
#<alt (* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))>
#<alt (* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))>
#<alt (* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))>
#<alt (* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))>
#<alt (* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))>
#<alt (* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 3) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* (pow a 2) b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (* 1/48 (* a b))>
#<alt (log 2)>
#<alt (+ (log 2) (* 1/2 a))>
#<alt (+ (log 2) (* a (+ 1/2 (* -1/8 a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (- (* 1/24 a) 1/8)))))>
#<alt (* -1 (log (/ 1 a)))>
#<alt (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a)))>
#<alt (- (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a))) (/ 2 (pow a 2)))>
#<alt (- (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (* 8/3 (/ 1 (pow a 3))))) (/ 2 (pow a 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* 2 (/ 1 a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* 2 (/ 1 a)) 2) a))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 a)) 2) a)) 2) a))))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt (+ 1 a)>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt a>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>
#<alt (* a (+ 1 (/ 1 a)))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(+ (* b 1/2) (log 2))
1.0ms	b	@	inf	(+ (* a (* a (* (* b a) 1/48))) (* b (+ 1/2 (* a -1/4))))
1.0ms	b	@	0	(+ (* a (* a (* (* b a) 1/48))) (* b (+ 1/2 (* a -1/4))))
1.0ms	b	@	0	(* a (* (* b a) 1/48))
1.0ms	b	@	0	(* b (+ 1/2 (* a -1/4)))

rewrite200.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2144×	`-lowering-.f32`
2144×	`-lowering-.f64`
1160×	`/-lowering-/.f32`
1160×	`/-lowering-/.f64`
1136×	`prod-diff`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	72
1	58	66
2	141	65
3	330	63
4	934	62
5	3710	61
0	8425	61

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 699

Calls

Call 1

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

Outputs
(+.f64 (/.f64 b #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (+.f64 (/.f64 b #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))
(+.f64 (+.f64 (/.f64 b #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 b #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 (/.f64 b #s(literal -2 binary64)) (log.f64 #s(literal 1/2 binary64))))
(fma.f64 b #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) b (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 b #s(literal 2 binary64)) #s(literal 1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 b #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) #s(literal -1/2 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 b #s(literal -2 binary64)) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) b) (log.f64 #s(literal 2 binary64)))
(fma.f64 (/.f64 b #s(literal -2 binary64)) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(neg.f64 (+.f64 (/.f64 b #s(literal -2 binary64)) (log.f64 #s(literal 1/2 binary64))))
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(fma.f64 (.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64)))) a #s(literal 0 binary64))
(fma.f64 (.f64 a (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64))))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 a (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a (.f64 a (*.f64 a #s(literal -1/48 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 a a) (.f64 b (*.f64 a #s(literal 1/48 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 b (.f64 a a)) (*.f64 a #s(literal 1/48 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 a #s(literal 1/48 binary64)) (.f64 b (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 b a) (.f64 a (.f64 a #s(literal -1/48 binary64)))) #s(literal 0 binary64))
(fma.f64 (.f64 b (.f64 a (*.f64 a a))) #s(literal 1/48 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 a (.f64 a #s(literal 1/48 binary64))) (*.f64 b a) #s(literal 0 binary64))
(fma.f64 (.f64 b #s(literal 1/48 binary64)) (.f64 a (*.f64 a a)) #s(literal 0 binary64))
(fma.f64 (.f64 a (.f64 a a)) (*.f64 b #s(literal 1/48 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 a (.f64 a (*.f64 a #s(literal 1/48 binary64)))) b #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 b a) (.f64 a (.f64 a #s(literal -1/48 binary64)))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (*.f64 b #s(literal -1/48 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 a (.f64 a (*.f64 a #s(literal -1/48 binary64)))) (-.f64 #s(literal 0 binary64) b) #s(literal 0 binary64))
(fma.f64 #s(literal -1/48 binary64) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 a (*.f64 a a)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 (*.f64 b a) #s(literal -1/48 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 a #s(literal -1/48 binary64)) (.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b a))) #s(literal 0 binary64))
(fma.f64 (.f64 a (.f64 a #s(literal -1/48 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 b a)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) a) (.f64 b (.f64 a (*.f64 a #s(literal -1/48 binary64)))) #s(literal 0 binary64))
(neg.f64 (.f64 (.f64 b a) (.f64 a (.f64 a #s(literal -1/48 binary64)))))
(/.f64 (.f64 a (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 a (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a (.f64 a (*.f64 a #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 b 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 binary64) b))
(/.f64 (.f64 (.f64 b a) (.f64 a (.f64 a #s(literal -1/48 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 a (.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal -1 binary64) b))
(.f64 b (.f64 a (.f64 a (.f64 a #s(literal 1/48 binary64)))))
(.f64 b (/.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/48 binary64)))) #s(literal 1 binary64)))
(.f64 a (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64)))))
(.f64 (.f64 b a) (.f64 a (.f64 a #s(literal 1/48 binary64))))
(.f64 (.f64 b a) (/.f64 (.f64 a (.f64 a #s(literal 1/48 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 b (.f64 a (.f64 a a))))
(.f64 (.f64 b (.f64 a #s(literal 1/48 binary64))) (.f64 a a))
(.f64 (.f64 b (.f64 a #s(literal 1/48 binary64))) (/.f64 (.f64 a a) #s(literal 1 binary64)))
(.f64 (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64)))) a)
(.f64 (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64)))) (/.f64 a #s(literal 1 binary64)))
(.f64 (.f64 a (.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 a (.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))))
(.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a (.f64 a (.f64 a #s(literal -1/48 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/48 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 a a) (.f64 b (.f64 a #s(literal 1/48 binary64))))
(.f64 (.f64 b (.f64 a a)) (.f64 a #s(literal 1/48 binary64)))
(.f64 (.f64 b (.f64 a a)) (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 a #s(literal 1/48 binary64)) (.f64 b (.f64 a a)))
(.f64 #s(literal -1 binary64) (.f64 (.f64 b a) (.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(.f64 (.f64 b (.f64 a (.f64 a a))) #s(literal 1/48 binary64))
(.f64 (.f64 a (.f64 a #s(literal 1/48 binary64))) (.f64 b a))
(.f64 (.f64 b #s(literal 1/48 binary64)) (.f64 a (.f64 a a)))
(.f64 (.f64 b #s(literal 1/48 binary64)) (/.f64 (.f64 a (.f64 a a)) #s(literal 1 binary64)))
(.f64 (.f64 a (.f64 a a)) (.f64 b #s(literal 1/48 binary64)))
(.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/48 binary64)))) b)
(.f64 (.f64 (.f64 b a) (.f64 a (*.f64 a #s(literal -1/48 binary64)))) #s(literal -1 binary64))
(.f64 (.f64 b #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))))
(.f64 (.f64 b #s(literal -1/48 binary64)) (/.f64 (.f64 a (.f64 a a)) #s(literal -1 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b a))) (.f64 a #s(literal -1/48 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b a))) (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 b a) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (.f64 a a)))
(.f64 (.f64 (.f64 b a) #s(literal -1/48 binary64)) (/.f64 (.f64 a a) #s(literal -1 binary64)))
(.f64 (.f64 b (.f64 a (.f64 a #s(literal -1/48 binary64)))) (-.f64 #s(literal 0 binary64) a))
(.f64 (.f64 b (.f64 a (.f64 a #s(literal -1/48 binary64)))) (/.f64 a #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b a)) (.f64 a (.f64 a #s(literal -1/48 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b a)) (/.f64 (.f64 a (.f64 a #s(literal 1/48 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b (.f64 a (.f64 a a)))) #s(literal -1/48 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a (.f64 a a))) (.f64 b #s(literal -1/48 binary64)))
(.f64 (.f64 a (.f64 a (.f64 a #s(literal -1/48 binary64)))) (-.f64 #s(literal 0 binary64) b))
(.f64 #s(literal -1/48 binary64) (-.f64 #s(literal 0 binary64) (.f64 b (.f64 a (.f64 a a)))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (.f64 (.f64 b a) #s(literal -1/48 binary64)))
(.f64 (.f64 a #s(literal -1/48 binary64)) (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b a))))
(.f64 (.f64 a (.f64 a #s(literal -1/48 binary64))) (-.f64 #s(literal 0 binary64) (.f64 b a)))
(.f64 (-.f64 #s(literal 0 binary64) a) (.f64 b (.f64 a (.f64 a #s(literal -1/48 binary64)))))
(.f64 (/.f64 a #s(literal 1 binary64)) (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64)))))
(.f64 (/.f64 a #s(literal -1 binary64)) (.f64 b (.f64 a (.f64 a #s(literal -1/48 binary64)))))
(.f64 (/.f64 (.f64 a a) #s(literal 1 binary64)) (.f64 b (.f64 a #s(literal 1/48 binary64))))
(.f64 (/.f64 (.f64 a a) #s(literal -1 binary64)) (.f64 (.f64 b a) #s(literal -1/48 binary64)))
(.f64 (/.f64 (.f64 a (.f64 a a)) #s(literal 1 binary64)) (.f64 b #s(literal 1/48 binary64)))
(.f64 (/.f64 (.f64 a (.f64 a a)) #s(literal -1 binary64)) (.f64 b #s(literal -1/48 binary64)))
(.f64 (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal 1 binary64)) (.f64 b (.f64 a a)))
(.f64 (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal -1 binary64)) (.f64 a (-.f64 #s(literal 0 binary64) (.f64 b a))))
(.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/48 binary64))) #s(literal 1 binary64)) (.f64 b a))
(.f64 (/.f64 (.f64 a (.f64 a #s(literal 1/48 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (.f64 b a)))
(.f64 (/.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/48 binary64)))) #s(literal 1 binary64)) b)
(.f64 (/.f64 (.f64 a (.f64 a (.f64 a #s(literal 1/48 binary64)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(+.f64 (.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64)))))
(-.f64 #s(literal 0 binary64) (.f64 b (.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 b (.f64 a (*.f64 a #s(literal -1/48 binary64)))) #s(literal 0 binary64)))
(neg.f64 (.f64 b (.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(/.f64 (.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (.f64 a (.f64 a #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 b (.f64 a (*.f64 a #s(literal -1/48 binary64))))))
(/.f64 (.f64 a (.f64 a #s(literal 1/48 binary64))) (/.f64 #s(literal 1 binary64) b))
(/.f64 (.f64 b (.f64 a (*.f64 a #s(literal -1/48 binary64)))) #s(literal -1 binary64))
(/.f64 (.f64 a (.f64 a #s(literal -1/48 binary64))) (/.f64 #s(literal -1 binary64) b))
(/.f64 (.f64 (.f64 a (*.f64 a #s(literal -1/48 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(.f64 b (/.f64 (.f64 a (*.f64 a #s(literal 1/48 binary64))) #s(literal 1 binary64)))
(.f64 b (neg.f64 (.f64 a (*.f64 a #s(literal -1/48 binary64)))))
(.f64 a (.f64 b (*.f64 a #s(literal 1/48 binary64))))
(.f64 (.f64 b a) (*.f64 a #s(literal 1/48 binary64)))
(.f64 (.f64 b a) (/.f64 (*.f64 a #s(literal 1/48 binary64)) #s(literal 1 binary64)))
(.f64 #s(literal 1/48 binary64) (.f64 b (*.f64 a a)))
(.f64 (.f64 b (*.f64 a #s(literal 1/48 binary64))) a)
(.f64 (.f64 b (*.f64 a #s(literal 1/48 binary64))) (/.f64 a #s(literal 1 binary64)))
(.f64 (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 b (.f64 a (.f64 a #s(literal 1/48 binary64)))))
(.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a (*.f64 a #s(literal -1/48 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (.f64 a (*.f64 a #s(literal 1/48 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 a a) (*.f64 b #s(literal 1/48 binary64)))
(.f64 (.f64 b (*.f64 a a)) #s(literal 1/48 binary64))
(.f64 (.f64 a #s(literal 1/48 binary64)) (*.f64 b a))
(.f64 #s(literal -1 binary64) (.f64 b (.f64 a (.f64 a #s(literal -1/48 binary64)))))
(.f64 (.f64 a (*.f64 a #s(literal 1/48 binary64))) b)
(.f64 (.f64 b #s(literal 1/48 binary64)) (*.f64 a a))
(.f64 (.f64 b #s(literal 1/48 binary64)) (/.f64 (*.f64 a a) #s(literal 1 binary64)))
(.f64 (.f64 b #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 a a)))
(.f64 (.f64 b #s(literal -1/48 binary64)) (/.f64 (*.f64 a a) #s(literal -1 binary64)))
(.f64 (.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b a))) #s(literal -1/48 binary64))
(.f64 (.f64 (*.f64 b a) #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) a))
(.f64 (.f64 (*.f64 b a) #s(literal -1/48 binary64)) (/.f64 a #s(literal -1 binary64)))
(.f64 (.f64 b (.f64 a (.f64 a #s(literal -1/48 binary64)))) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b a)) (*.f64 a #s(literal -1/48 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b a)) (/.f64 (*.f64 a #s(literal 1/48 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1/48 binary64) (.f64 a (-.f64 #s(literal 0 binary64) (*.f64 b a))))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 a a)) (*.f64 b #s(literal -1/48 binary64)))
(.f64 (.f64 a #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(.f64 (.f64 a (*.f64 a #s(literal -1/48 binary64))) (-.f64 #s(literal 0 binary64) b))
(.f64 (-.f64 #s(literal 0 binary64) a) (.f64 (*.f64 b a) #s(literal -1/48 binary64)))
(.f64 (.f64 (.f64 a (.f64 a #s(literal -1/48 binary64))) #s(literal -1 binary64)) b)
(.f64 (/.f64 a #s(literal 1 binary64)) (.f64 b (*.f64 a #s(literal 1/48 binary64))))
(.f64 (/.f64 a #s(literal -1 binary64)) (.f64 (*.f64 b a) #s(literal -1/48 binary64)))
(.f64 (/.f64 (.f64 a a) #s(literal 1 binary64)) (*.f64 b #s(literal 1/48 binary64)))
(.f64 (/.f64 (.f64 a a) #s(literal -1 binary64)) (*.f64 b #s(literal -1/48 binary64)))
(.f64 (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal 1 binary64)) (*.f64 b a))
(.f64 (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 b a)))
(.f64 (/.f64 (.f64 a (*.f64 a #s(literal 1/48 binary64))) #s(literal 1 binary64)) b)
(.f64 (/.f64 (.f64 a (*.f64 a #s(literal 1/48 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(.f64 (neg.f64 (.f64 a (*.f64 a #s(literal -1/48 binary64)))) b)
(+.f64 (.f64 b (.f64 a #s(literal 1/48 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (.f64 b (.f64 a #s(literal 1/48 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 b a) #s(literal -1/48 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 (.f64 b a) #s(literal -1/48 binary64)) #s(literal 0 binary64)))
(neg.f64 (.f64 (.f64 b a) #s(literal -1/48 binary64)))
(/.f64 (.f64 b (.f64 a #s(literal 1/48 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 b (.f64 a #s(literal 1/48 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) b) (*.f64 a #s(literal 1/48 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (.f64 b a) #s(literal -1/48 binary64))))
(/.f64 (*.f64 a #s(literal 1/48 binary64)) (/.f64 #s(literal 1 binary64) b))
(/.f64 (.f64 (.f64 b a) #s(literal -1/48 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 a #s(literal -1/48 binary64)) (/.f64 #s(literal -1 binary64) b))
(/.f64 (.f64 (.f64 a #s(literal -1/48 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(.f64 b (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal 1 binary64)))
(.f64 b (neg.f64 (.f64 a #s(literal -1/48 binary64))))
(.f64 a (.f64 b #s(literal 1/48 binary64)))
(.f64 (.f64 b a) #s(literal 1/48 binary64))
(.f64 #s(literal 1/48 binary64) (.f64 b a))
(.f64 (.f64 b (*.f64 a #s(literal 1/48 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 b (*.f64 a #s(literal 1/48 binary64))))
(.f64 (-.f64 #s(literal 0 binary64) b) (.f64 a #s(literal -1/48 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 a #s(literal 1/48 binary64)) b)
(.f64 #s(literal -1 binary64) (.f64 (*.f64 b a) #s(literal -1/48 binary64)))
(.f64 (.f64 b #s(literal 1/48 binary64)) a)
(.f64 (.f64 b #s(literal 1/48 binary64)) (/.f64 a #s(literal 1 binary64)))
(.f64 (.f64 b #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) a))
(.f64 (.f64 b #s(literal -1/48 binary64)) (/.f64 a #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 b a) #s(literal -1/48 binary64)) #s(literal -1 binary64))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 b a)) #s(literal -1/48 binary64))
(.f64 #s(literal -1/48 binary64) (-.f64 #s(literal 0 binary64) (.f64 b a)))
(.f64 (.f64 a #s(literal -1/48 binary64)) (-.f64 #s(literal 0 binary64) b))
(.f64 (-.f64 #s(literal 0 binary64) a) (.f64 b #s(literal -1/48 binary64)))
(.f64 (.f64 (*.f64 a #s(literal -1/48 binary64)) #s(literal -1 binary64)) b)
(.f64 (/.f64 a #s(literal 1 binary64)) (.f64 b #s(literal 1/48 binary64)))
(.f64 (/.f64 a #s(literal -1 binary64)) (.f64 b #s(literal -1/48 binary64)))
(.f64 (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal 1 binary64)) b)
(.f64 (/.f64 (.f64 a #s(literal 1/48 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) b))
(.f64 (neg.f64 (.f64 a #s(literal -1/48 binary64))) b)
(log.f64 (+.f64 #s(literal 2 binary64) a))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 a #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) a)
(*.f64 (+.f64 a #s(literal 1 binary64)) #s(literal 1 binary64))

simplify185.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

3590×	`-lowering-.f32`
3590×	`-lowering-.f64`
1628×	`fma-lowering-fma.f32`
1628×	`fma-lowering-fma.f64`
1324×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1362
1	437	1233
2	1366	1202
3	4738	1188
0	8365	1188

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(log 2)
(+ (log 2) (* 1/2 b))
(+ (log 2) (* 1/2 b))
(+ (log 2) (* 1/2 b))
(* 1/2 b)
(* b (+ 1/2 (/ (log 2) b)))
(* b (+ 1/2 (/ (log 2) b)))
(* b (+ 1/2 (/ (log 2) b)))
(* 1/2 b)
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(* 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)
(* 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)
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* b (+ 1/2 (* -1/4 a)))
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* -1/4 (* a b)) (* 1/2 b))
(* -1/4 (* a b))
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(* -1/4 (* a b))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
1/2
(+ 1/2 (* -1/4 a))
(+ 1/2 (* -1/4 a))
(+ 1/2 (* -1/4 a))
(* -1/4 a)
(* a (- (* 1/2 (/ 1 a)) 1/4))
(* a (- (* 1/2 (/ 1 a)) 1/4))
(* a (- (* 1/2 (/ 1 a)) 1/4))
(* -1/4 a)
(* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))
(* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))
(* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* -1/4 a)
(* 1/2 b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(* 1/48 (* (pow a 3) b))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(* 1/48 (* (pow a 3) b))
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))
(* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))
(* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))
(* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 3) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* (pow a 2) b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(* 1/48 (* a b))
(log 2)
(+ (log 2) (* 1/2 a))
(+ (log 2) (* a (+ 1/2 (* -1/8 a))))
(+ (log 2) (* a (+ 1/2 (* a (- (* 1/24 a) 1/8)))))
(* -1 (log (/ 1 a)))
(+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a)))
(- (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a))) (/ 2 (pow a 2)))
(- (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (* 8/3 (/ 1 (pow a 3))))) (/ 2 (pow a 2)))
(+ (log -1) (* -1 (log (/ -1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* 2 (/ 1 a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* 2 (/ 1 a)) 2) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 a)) 2) a)) 2) a))))
1
(+ 1 a)
(+ 1 a)
(+ 1 a)
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
a
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))
(* a (+ 1 (/ 1 a)))

Outputs
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+ (log 2) (* 1/2 b))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* b (+ 1/2 (/ (log 2) b)))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ (log 2) b)))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b))
(* b (+ 1/2 (/ (log 2) b)))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b))
(* -1 (* b (- (* -1 (/ (log 2) b)) 1/2)))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal 1/2 binary64) b))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(* 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)
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* b (+ 1/2 (* -1/4 a)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* -1/4 (* a b))
(.f64 b (.f64 #s(literal -1/4 binary64) a))
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* a (+ (* -1/4 b) (* 1/2 (/ b a))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* -1/4 (* a b))
(.f64 b (.f64 #s(literal -1/4 binary64) a))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(* -1 (* a (+ (* -1/2 (/ b a)) (* 1/4 b))))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
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 (* -1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(+ 1/2 (* -1/4 a))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* a (- (* 1/2 (/ 1 a)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(* a (- (* 1/2 (/ 1 a)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(* a (- (* 1/2 (/ 1 a)) 1/4))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(* -1 (* a (- 1/4 (* 1/2 (/ 1 a)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) a))
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* -1/4 a)
(*.f64 #s(literal -1/4 binary64) a)
(* 1/2 b)
(*.f64 #s(literal 1/2 binary64) b)
(+ (* -1/4 (* a b)) (* 1/2 b))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/4 binary64) a)))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(+ (* 1/2 b) (* a (+ (* -1/4 b) (* 1/48 (* (pow a 2) b)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (* 1/48 b)))
(.f64 (.f64 a (.f64 a a)) (.f64 b (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a a)) #s(literal 1/48 binary64))))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(-.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (.f64 a a) (.f64 a (.f64 b (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) #s(literal -1/48 binary64))))))
(* (pow a 3) (+ (* -1/4 (/ b (pow a 2))) (+ (* 1/48 b) (* 1/2 (/ b (pow a 3))))))
(-.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (.f64 a a) (.f64 a (.f64 b (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) #s(literal -1/48 binary64))))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* -1 (* (pow a 3) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2))))))
(.f64 (.f64 a (.f64 a a)) (.f64 b (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 a a)) #s(literal 1/48 binary64))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (.f64 a a) (.f64 a (.f64 b (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) #s(literal -1/48 binary64))))))
(* -1 (* (pow a 3) (+ (* -1/2 (/ b (pow a 3))) (+ (* -1/48 b) (* 1/4 (/ b (pow a 2)))))))
(-.f64 (.f64 #s(literal 1/2 binary64) b) (.f64 (.f64 a a) (.f64 a (.f64 b (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 a a)) #s(literal -1/48 binary64))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* b (+ 1/2 (+ (* -1/4 a) (* 1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* -1 (* b (+ (* -1 (+ 1/2 (* -1/4 a))) (* -1/48 (pow a 3)))))
(.f64 b (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a a) #s(literal -1/48 binary64))))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 3) b))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* (pow a 2) b))
(.f64 b (.f64 a (*.f64 a #s(literal 1/48 binary64))))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(* 1/48 (* a b))
(.f64 b (.f64 a #s(literal 1/48 binary64)))
(log 2)
(log.f64 #s(literal 2 binary64))
(+ (log 2) (* 1/2 a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+ (log 2) (* a (+ 1/2 (* -1/8 a))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/8 binary64)))))
(+ (log 2) (* a (+ 1/2 (* a (- (* 1/24 a) 1/8)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal -1/8 binary64) (*.f64 a #s(literal 1/24 binary64)))))))
(* -1 (log (/ 1 a)))
(log.f64 a)
(+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a)))
(+.f64 (log.f64 a) (/.f64 #s(literal 2 binary64) a))
(- (+ (* -1 (log (/ 1 a))) (* 2 (/ 1 a))) (/ 2 (pow a 2)))
(+.f64 (log.f64 a) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) a)) a))
(- (+ (* -1 (log (/ 1 a))) (+ (* 2 (/ 1 a)) (* 8/3 (/ 1 (pow a 3))))) (/ 2 (pow a 2)))
(+.f64 (log.f64 a) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) a) #s(literal -2 binary64)) a)) a))
(+ (log -1) (* -1 (log (/ -1 a))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a)))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* 2 (/ 1 a))))
(+.f64 (/.f64 #s(literal 2 binary64) a) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* 2 (/ 1 a)) 2) a))))
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) a)) a))
(+ (log -1) (+ (* -1 (log (/ -1 a))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 a)) 2) a)) 2) a))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) a))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -8/3 binary64) a)) a) #s(literal -2 binary64)) a))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
a
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))
(* a (+ 1 (/ 1 a)))
(+.f64 a #s(literal 1 binary64))

eval140.0ms (1.3%)

Compiler: Compiled 16917 to 1705 computations (89.9% saved)

prune132.0ms (1.2%)

Pruning

23 alts after pruning (14 fresh and 9 done)

	Pruned	Kept	Total
New	1088	7	1095
Fresh	0	7	7
Picked	1	4	5
Done	0	5	5
Total	1089	23	1112

Accuracy

99.7%

Counts

1112 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.2%	(/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b)))
	4.7%	(/.f64 b (+.f64 a #s(literal 2 binary64)))
	4.7%	(/.f64 b (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
✓	51.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	11.6%	(/.f64 b #s(literal 2 binary64))
	11.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
	5.2%	(-.f64 (+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 b #s(literal 2 binary64))) (/.f64 b #s(literal 2 binary64)))
✓	50.4%	(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
	2.8%	(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
	50.3%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
	50.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
✓	49.9%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
✓	5.2%	(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
	2.3%	(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
	4.4%	(.f64 b (.f64 #s(literal -1/4 binary64) a))
✓	48.5%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	50.2%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
✓	52.9%	(log1p.f64 (exp.f64 a))
	49.9%	(log1p.f64 #s(literal 1 binary64))
✓	50.1%	(log.f64 (+.f64 #s(literal 2 binary64) b))
	48.5%	(log.f64 (+.f64 #s(literal 2 binary64) a))

Compiler

Compiled 541 to 296 computations (45.3% saved)

regimes55.0ms (0.5%)

Counts

34 → 1

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 #s(literal -1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(/.f64 b (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(-.f64 (+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 b #s(literal 2 binary64))) (/.f64 b #s(literal 2 binary64)))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b)))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) a))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.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))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))

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

Calls

6 calls:

9.0ms	b
9.0ms	a
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
8.0ms	(exp.f64 b)
8.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
99.5%	1	`a`
99.5%	1	`b`
99.5%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.5%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.5%	1	`(exp.f64 a)`
99.5%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes51.0ms (0.5%)

Counts

33 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 #s(literal -1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(/.f64 b (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(-.f64 (+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 b #s(literal 2 binary64))) (/.f64 b #s(literal 2 binary64)))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b)))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) a))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))
(log1p.f64 (exp.f64 a))
(log1p.f64 (exp.f64 b))
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b #s(literal 1/2 binary64)))))))
(log.f64 (+.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))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
99.2%	2	`a`
69.8%	2	`b`
98.8%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.8%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
99.2%	2	`(exp.f64 a)`
57.6%	2	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes16.0ms (0.1%)

Counts

25 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 #s(literal -1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(/.f64 b (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(-.f64 (+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 b #s(literal 2 binary64))) (/.f64 b #s(literal 2 binary64)))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b)))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) a))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64))))))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 b b)))))))

Outputs

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

(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a (+.f64 #s(literal 1/8 binary64) (*.f64 a (*.f64 a #s(literal -1/192 binary64))))))))

Calls

2 calls:

8.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.2%	2	`a`
98.2%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

23 → 2

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(.f64 b (.f64 #s(literal -1/4 binary64) a))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64))))
(/.f64 b (+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) a)))
(.f64 b (.f64 #s(literal 1/48 binary64) (.f64 a (.f64 a a))))
(-.f64 (+.f64 (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))) (/.f64 b #s(literal 2 binary64))) (/.f64 b #s(literal 2 binary64)))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal -1/4 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b)))
(+.f64 (.f64 a (.f64 a (.f64 (.f64 b a) #s(literal 1/48 binary64)))) (/.f64 (-.f64 (.f64 (.f64 a #s(literal -1/4 binary64)) (/.f64 #s(literal 2 binary64) b)) (/.f64 #s(literal -1 binary64) b)) (*.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 #s(literal 2 binary64) b))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) a))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
(+.f64 (*.f64 b #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/8 binary64)))))

Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))

Calls

2 calls:

7.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.0%	2	`a`
98.0%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes14.0ms (0.1%)

Counts

21 → 2

Calls

Call 1

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

Outputs
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a)))))

Calls

2 calls:

6.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.6%	2	`a`
97.6%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes12.0ms (0.1%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
5.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.4%	2	`a`
97.4%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes249.0ms (2.2%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

2 calls:

241.0ms	a
6.0ms	b

Results

Accuracy	Segments	Branch
50.4%	1	`b`
57.7%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

Outputs
(/.f64 b #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) a))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
57.7%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

13 → 2

Calls

Call 1

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

Outputs
(/.f64 b #s(literal 2 binary64))
(log1p.f64 #s(literal 1 binary64))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
57.1%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Accuracy

Total -6.9b remaining (-12.2%)

Threshold costs -6.9b (-12.2%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

11.0ms	a
4.0ms	b

Results

Accuracy	Segments	Branch
11.6%	1	`b`
11.6%	1	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.876559444286982e-40

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004895016440623677	0.8936484133690887

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.876559444286982e-40

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.876559444286982e-40

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0004895016440623677	0.8936484133690887

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-7.622122737342827	-0.11244285479734663

Results

7.0ms

112×

valid

Compiler

Compiled 118 to 101 computations (14.4% saved)

Precisions

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

ival-exp: 2.0ms (53.3% of total)

ival-add: 1.0ms (26.7% of total)

ival-log: 1.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-7.622122737342827	-0.11244285479734663

Results

7.0ms

112×

valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

Precisions

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

ival-exp: 2.0ms (54.4% of total)

ival-add: 1.0ms (27.2% of total)

ival-log: 1.0ms (27.2% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	-4884.284355651187	-91.47396370239353

Results

20.0ms	100×	1	valid
3.0ms	6×	2	valid
0.0ms	6×	0	valid

Compiler

Compiled 90 to 80 computations (11.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-exp: 7.0ms (43.9% of total)

ival-log: 6.0ms (37.7% of total)

backward-pass: 2.0ms (12.6% of total)

ival-add: 1.0ms (6.3% of total)

const: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

22×	`+-commutative_binary64`
16×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	146
1	73	146

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) a)))
(if (<=.f64 a #s(literal -140 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 2 binary64))

Outputs
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (exp.f64 a)))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a #s(literal -1/192 binary64)))))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) a))))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a #s(literal 1/2 binary64)))))))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 (exp.f64 a) #s(literal 1152921504606847/2305843009213693952 binary64)) (/.f64 b (+.f64 (exp.f64 a) #s(literal 1 binary64))) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a)))
(if (<=.f64 a #s(literal -3152519739159347/2251799813685248 binary64)) (/.f64 b #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 a #s(literal 1/2 binary64))))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 #s(literal 2 binary64) a)))
(if (<=.f64 a #s(literal -1 binary64)) (/.f64 b #s(literal 2 binary64)) (log.f64 (+.f64 a #s(literal 2 binary64))))
(if (<=.f64 a #s(literal -140 binary64)) (/.f64 b #s(literal 2 binary64)) (log1p.f64 #s(literal 1 binary64)))
(/.f64 b #s(literal 2 binary64))

soundness1.2s (10.8%)

Rules

4588×	`+-lowering-+.f64`
4588×	`+-lowering-+.f32`
4452×	`-lowering-.f32`
4452×	`-lowering-.f64`
4104×	`-lowering-.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	99	480
1	291	446
2	963	442
3	3348	440
0	8044	440
0	170	963
1	530	841
2	1668	822
3	6451	822
0	8093	822
0	359	2487
1	1115	2192
2	4036	2167
0	8875	2167
0	22	72
1	58	66
2	141	65
3	330	63
4	934	62
5	3710	61
0	8425	61

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

Compiler

Compiled 474 to 295 computations (37.8% saved)

preprocess63.0ms (0.6%)

Compiler: Compiled 360 to 148 computations (58.9% saved)

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3

analyze187.0ms (1.7%)

sample5.4s (48.6%)

preprocess18.0ms (0.2%)

explain161.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize92.0ms (0.8%)

series90.0ms (0.8%)

rewrite22.0ms (0.2%)

simplify353.0ms (3.2%)

eval7.0ms (0.1%)

prune10.0ms (0.1%)

simplify56.0ms (0.5%)

localize365.0ms (3.3%)

series262.0ms (2.4%)

rewrite255.0ms (2.3%)

simplify265.0ms (2.4%)

eval209.0ms (1.9%)

prune115.0ms (1%)

simplify13.0ms (0.1%)

localize102.0ms (0.9%)

series44.0ms (0.4%)

rewrite180.0ms (1.6%)

simplify194.0ms (1.7%)

eval51.0ms (0.5%)

prune48.0ms (0.4%)

simplify16.0ms (0.1%)

localize140.0ms (1.3%)

series15.0ms (0.1%)

rewrite200.0ms (1.8%)

simplify185.0ms (1.7%)

eval140.0ms (1.3%)

prune132.0ms (1.2%)

regimes55.0ms (0.5%)

regimes51.0ms (0.5%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

regimes14.0ms (0.1%)

regimes12.0ms (0.1%)

regimes249.0ms (2.2%)

regimes6.0ms (0.1%)

regimes5.0ms (0%)

regimes15.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch15.0ms (0.1%)

bsearch29.0ms (0.3%)

simplify10.0ms (0.1%)

soundness1.2s (10.8%)

preprocess63.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	24
1	37	24
2	55	24
3	64	24
4	93	24
5	112	24
6	131	24
7	155	24
8	162	24
0	6	3
1	8	3
2	9	3
0	9	3