Metrics for symmetry log of sum of exp

analyze185.0ms (1.4%)

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: 57.0ms

ival-exp: 25.0ms (43.7% of total)

ival-log: 20.0ms (35% of total)

ival-add: 11.0ms (19.2% of total)

const: 1.0ms (1.7% of total)

backward-pass: 1.0ms (1.7% of total)

sample5.2s (40.4%)

Results

2.3s	7892×	5	exit
280.0ms	4391×	0	valid
624.0ms	2210×	1	valid
1.0s	1655×	2	valid

Precisions

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

ival-log: 1.0s (35% of total)

ival-exp: 1.0s (33.7% of total)

backward-pass: 692.0ms (23.2% of total)

ival-add: 224.0ms (7.5% of total)

const: 17.0ms (0.6% of total)

Bogosity

preprocess16.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

24×	`sub-neg`
22×	`+-commutative`
16×	`exp-diff`
16×	`exp-sum`
14×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	33	42
2	47	42
3	56	42
4	67	42
5	84	42
6	99	42
7	107	42
8	110	42
0	6	6
1	7	6
0	7	6

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

Symmetry

(sort a b)

explain162.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
120	-	-	`(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

20.0ms	286×	0	valid
32.0ms	124×	1	valid
82.0ms	102×	2	valid

Compiler

Compiled 48 to 20 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-log: 43.0ms (41.8% of total)

ival-exp: 38.0ms (36.9% of total)

ival-add: 14.0ms (13.6% of total)

backward-pass: 8.0ms (7.8% of total)

const: 1.0ms (1% 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
▶	56.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 8 to 6 computations (25% saved)

localize84.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	a
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.f64 (exp.f64 a) (exp.f64 b))
✓	cost-diff	0	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(+.f64 (exp.f64 a) (exp.f64 b))
✓	accuracy	56.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	7	17
0	7	17

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

Results

10.0ms	143×	0	valid
16.0ms	62×	1	valid
34.0ms	51×	2	valid

Compiler

Compiled 20 to 7 computations (65% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-exp: 19.0ms (43.2% of total)

ival-log: 19.0ms (43.2% of total)

backward-pass: 3.0ms (6.8% of total)

ival-add: 2.0ms (4.5% of total)

const: 0.0ms (0% of total)

series95.0ms (0.7%)

Counts

5 → 84

Calls

Call 1

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

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)>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>

Calls

21 calls:

Time	Variable		Point	Expression
28.0ms	a	@	inf	(log (+ (exp a) (exp b)))
23.0ms	a	@	-inf	(log (+ (exp a) (exp b)))
17.0ms	b	@	inf	(log (+ (exp a) (exp b)))
14.0ms	b	@	-inf	(log (+ (exp a) (exp b)))
1.0ms	a	@	0	(log (+ (exp a) (exp b)))

rewrite123.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

812×	`-lowering-.f32`
812×	`-lowering-.f64`
800×	`accelerator-lowering-fma.f32`
800×	`accelerator-lowering-fma.f64`
614×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	20	16
2	146	16
0	1405	16

Stop Event

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

Counts

5 → 79

Calls

Call 1

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

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

simplify669.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

18508×	`accelerator-lowering-fma.f32`
18508×	`accelerator-lowering-fma.f64`
5052×	`+-lowering-+.f64`
5052×	`+-lowering-+.f32`
4904×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	576
1	274	576
2	757	568
3	2515	560
0	8549	512

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

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)
a
a
a
a
a
a
a
a
a
a
a
a

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

eval16.0ms (0.1%)

Compiler: Compiled 3044 to 407 computations (86.6% saved)

prune20.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	154	9	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	154	10	164

Accuracy

99.4%

Counts

164 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
	56.7%	(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
	53.8%	(log1p.f64 (exp.f64 b))
▶	54.0%	(log1p.f64 (exp.f64 a))
▶	55.8%	(log.f64 (+.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)))))))))
	55.6%	(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)))))))
▶	55.2%	(log.f64 (+.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b)))
✓	56.8%	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
	54.0%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
▶	53.8%	(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)))

Compiler

Compiled 188 to 144 computations (23.4% saved)

localize369.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	a
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(+.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))))))))
✓	cost-diff	128	(log.f64 (+.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)))))))))
✓	cost-diff	0	a
✓	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	#s(literal 1 binary64)
✓	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	a
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	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))))
✓	accuracy	100.0%	(+.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))))))))
✓	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	58.3%	(log.f64 (+.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)))))))))
✓	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	58.3%	(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	99.2%	(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 b (+.f64 #s(literal 1 binary64) (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%	(log1p.f64 (exp.f64 a))

Rules

916×	`accelerator-lowering-fma.f32`
916×	`accelerator-lowering-fma.f64`
396×	`+-lowering-+.f64`
396×	`+-lowering-+.f32`
250×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	142
1	54	142
2	111	142
3	236	142
4	384	142
5	527	142
6	527	142
0	527	117

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

Results

38.0ms	137×	0	valid
162.0ms	116×	2	valid
14.0ms	2×	5	exit
0.0ms	1×	0	invalid

Compiler

Compiled 159 to 25 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-log: 77.0ms (40% of total)

<compiled-spec>: 42.0ms (21.8% of total)

ival-add: 28.0ms (14.5% of total)

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

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

ival-exp: 6.0ms (3.1% of total)

ival-div: 5.0ms (2.6% of total)

const: 2.0ms (1% of total)

series291.0ms (2.3%)

Counts

16 → 252

Calls

Call 1

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

Outputs
#<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 (+ (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 (/ 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 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 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 (* 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 (+ 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 a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>
#<alt a>

Calls

63 calls:

Time	Variable		Point	Expression
110.0ms	a	@	inf	(log (+ (exp a) (+ 1 b)))
35.0ms	a	@	inf	(log (+ 1 (exp a)))
21.0ms	a	@	inf	(log (+ (exp a) (+ 1 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))
18.0ms	a	@	-inf	(log (+ (exp a) (+ 1 (* b (+ 1 (* b (+ 1/2 (* b 1/6))))))))
17.0ms	b	@	-inf	(log (+ 1 (exp b)))

rewrite700.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4484×	`/-lowering-/.f32`
4484×	`/-lowering-/.f64`
4324×	`accelerator-lowering-fma.f32`
4324×	`accelerator-lowering-fma.f64`
3854×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	101
1	159	101
2	1555	101
0	8520	83

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 487

Calls

Call 1

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

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (log.f64 (expm1.f64 a)))
(neg.f64 (neg.f64 (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64))))) (+.f64 (.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a)))) (.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a)))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64)))))) (+.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))))
(log1p.f64 (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))) (log1p.f64 (exp.f64 a)))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (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 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (-.f64 #s(literal 0 binary64) b) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (log1p.f64 (exp.f64 a)))
(fma.f64 (neg.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (pow.f64 (/.f64 #s(literal 1 binary64) b) #s(literal -1 binary64)) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (/.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 (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))) (log1p.f64 (exp.f64 a)))
(fma.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 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 (*.f64 a #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b) #s(literal -2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (.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 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)))))))))) (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (.f64 (.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 (+.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)))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))))))) (neg.f64 (-.f64 (+.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)))))))))
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(/.f64 (+.f64 (pow.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 3 binary64)) #s(literal 1 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))))))) (+.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)))))))) (-.f64 #s(literal 1 binary64) (.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)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (expm1.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 3 binary64)) (pow.f64 (/.f64 (.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 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 (expm1.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 3 binary64))) (+.f64 (.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (expm1.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (expm1.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))))))) (+.f64 (.f64 (/.f64 (.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 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 (expm1.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 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 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (-.f64 (expm1.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))))))) (.f64 (/.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 (expm1.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (/.f64 (.f64 (+.f64 #s(literal 1 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 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (-.f64 (expm1.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.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))))))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.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)))))))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (.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 (+.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 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 (exp.f64 (.f64 a #s(literal 2 binary64))) (.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 (+.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.f64 a))))))
(.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (.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 (+.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 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 #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 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))) (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (.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))))))))))))
(.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (.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 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 (expm1.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))))))
(.f64 (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 3 binary64))) (.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 (+.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 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) (neg.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (.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 (+.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.f64 a)))))))
(.f64 (neg.f64 (-.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (.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 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) (neg.f64 (-.f64 (expm1.f64 a) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64))))))))))
(.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)) (.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 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 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (-.f64 (.f64 (.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 (+.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)))))))))))
(.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)) (.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))) (.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 #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)))))))))
(.f64 (-.f64 (.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 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.f64 (.f64 a #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.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))))))) (exp.f64 a))))
a
(log.f64 (exp.f64 a))
(+.f64 a #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) a)
#s(literal 1 binary64)

simplify374.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

7042×	`accelerator-lowering-fma.f32`
7042×	`accelerator-lowering-fma.f64`
4582×	`+-lowering-+.f64`
4582×	`+-lowering-+.f32`
4094×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	354	2548
1	1020	2499
2	3065	2450
0	8003	2120

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
(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)))
(+ (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))))))
(/ 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)))
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 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))))
(* 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)))
(+ 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)))
a
a
a
a
a
a
a
a
a
a
a
a

Outputs
(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 #s(literal -1/192 binary64) (.f64 a 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))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(+ (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 (.f64 #s(literal 1/2 binary64) b) (+.f64 (log.f64 #s(literal 2 binary64)) (.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 a #s(literal 1/8 binary64)) (+.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 (* 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 (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal -1/4 binary64))) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a b) #s(literal 1/48 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 (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 (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 (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 (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 (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 (log1p.f64 (exp.f64 a)) #s(literal 1 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)))
(/ 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 #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 #s(literal 1/2 binary64) b) (.f64 a (+.f64 (.f64 b #s(literal -1/4 binary64)) (.f64 a (.f64 (.f64 a b) #s(literal 1/48 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)))
1
#s(literal 1 binary64)
(+ 1 a)
(+.f64 a #s(literal 1 binary64))
(+ 1 (* a (+ 1 (* 1/2 a))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) a) #s(literal 1 binary64))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (*.f64 a #s(literal 1/6 binary64)))))))
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(exp a)
(exp.f64 a)
(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 #s(literal 1/8 binary64) b))))
(+ (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 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+.f64 #s(literal 2 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))))
(+ 1 (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))
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(+ 1 (exp b))
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1
#s(literal 1 binary64)
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(+ 1 (* b (+ 1 (* 1/2 b))))
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(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
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(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))
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(log (+ 1 (+ b (exp a))))
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(log (+ 1 (exp a)))
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b
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b
(* -1 (* b (- (* -1 (/ (+ 1 (exp a)) b)) 1)))
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1
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b
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(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (+ (* 3 (/ 1 b)) (/ 3/2 (pow b 2)))))
(+.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64)) (+.f64 (log.f64 #s(literal -1/6 binary64)) (+.f64 (/.f64 #s(literal 3 binary64) b) (/.f64 #s(literal 3/2 binary64) (.f64 b b)))))
(+ (log -1/6) (+ (* -3 (log (/ -1 b))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (+ 54 (* -36 (+ 1 (exp a)))) b))) b)) 3) b))))
(+.f64 (log.f64 #s(literal -1/6 binary64)) (-.f64 (.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) #s(literal -3 binary64)) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal 3/2 binary64) (.f64 (+.f64 #s(literal 18 binary64) (*.f64 (exp.f64 a) #s(literal -36 binary64))) (/.f64 #s(literal -1/6 binary64) b))) b)) b)))
(* 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 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))
(.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b (*.f64 b 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 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(* (pow b 3) (+ 1/6 (+ (* 1/2 (/ 1 b)) (/ 1 (pow b 2)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))))
(* 1/6 (pow b 3))
(.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b (*.f64 b 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))))
(+ 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)))))))
(+ 2 (+ a (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (*.f64 b #s(literal 1/6 binary64)))))) (+.f64 #s(literal 2 binary64) a))
(+ 2 (+ (* a (+ 1 (* 1/2 a))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 #s(literal 2 binary64) (+.f64 (.f64 a (+.f64 (.f64 #s(literal 1/2 binary64) a) #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))))))))
(+ 2 (+ (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+.f64 (.f64 b (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 b #s(literal 1/6 binary64)))))) (+.f64 #s(literal 2 binary64) (.f64 a (+.f64 #s(literal 1 binary64) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/6 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 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)))))))
(+ 1 (exp a))
(+.f64 #s(literal 1 binary64) (exp.f64 a))
(+ 1 (+ b (exp a)))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) b))
(+ 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 #s(literal 1/2 binary64) b)))))
(+ 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)))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b (*.f64 b 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 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.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 (/.f64 #s(literal 1/2 binary64) b) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 b b)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 b (.f64 b b))) (/.f64 (exp.f64 a) (.f64 b (.f64 b b))))))
(* 1/6 (pow b 3))
(.f64 b (.f64 #s(literal 1/6 binary64) (*.f64 b b)))
(* (pow b 3) (+ 1/6 (* 1/2 (/ 1 b))))
(.f64 (.f64 b (*.f64 b 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 b (*.f64 b b)) (-.f64 #s(literal 0 binary64) (-.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))))
a
a
a
a
a
a
a
a
a
a
a
a

eval113.0ms (0.9%)

Compiler: Compiled 24455 to 2266 computations (90.7% saved)

prune113.0ms (0.9%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	880	13	893
Fresh	2	2	4
Picked	4	1	5
Done	1	0	1
Total	887	16	903

Accuracy

99.4%

Counts

903 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
	53.8%	(+.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))))))
▶	57.5%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
	53.2%	(+.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)))))))
	53.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))))
▶	52.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
	52.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))
	53.1%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) b))
	52.4%	(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) a))
▶	51.1%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	53.8%	(log1p.f64 (exp.f64 b))
✓	54.0%	(log1p.f64 (exp.f64 a))
	52.5%	(log1p.f64 #s(literal 1 binary64))
	54.0%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	53.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))
▶	1.3%	(log.f64 b)

Compiler

Compiled 305 to 246 computations (19.3% saved)

localize217.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))
✓	cost-diff	0	#s(literal 2 binary64)
✓	cost-diff	0	(log.f64 #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	cost-diff	0	b
✓	cost-diff	0	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	a
✓	cost-diff	0	(+.f64 a #s(literal 1 binary64))
✓	cost-diff	0	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	cost-diff	0	b
✓	cost-diff	0	(log.f64 b)
✓	cost-diff	0	(exp.f64 a)
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	12928	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))
✓	cost-diff	12928	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
✓	accuracy	100.0%	(.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a))))
✓	accuracy	99.9%	(.f64 #s(literal -1/192 binary64) (.f64 a a))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (exp.f64 a))
✓	accuracy	100.0%	(exp.f64 a)
✓	accuracy	100.0%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
✓	accuracy	100.0%	(+.f64 a #s(literal 1 binary64))
✓	accuracy	100.0%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
✓	accuracy	100.0%	(log.f64 b)
✓	accuracy	100.0%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(log1p.f64 (exp.f64 a))
✓	accuracy	100.0%	(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
✓	accuracy	96.7%	(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64)))

Rules

352×	`accelerator-lowering-fma.f32`
352×	`accelerator-lowering-fma.f64`
168×	`+-lowering-+.f64`
168×	`+-lowering-+.f32`
156×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	148
1	60	145
2	123	145
3	187	145
4	231	139
5	252	139
6	264	139
7	270	139
8	276	139
9	281	139
10	290	139
11	304	139
12	313	139
13	328	139
14	334	139
15	337	139
16	343	139
17	354	139
18	361	139
19	363	139
0	363	126

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(log (+ 1 (exp a)))
(exp a)
a
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(* (log (/ (+ 1 (exp a)) b)) -1)
(log (/ (+ 1 (exp a)) b))
(/ (+ 1 (exp a)) b)
(+ 1 (exp a))
1
b
-1
(log b)
(log (+ 1 (+ a 1)))
(+ a 1)
(/ b (+ 1 (exp a)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (* a a)))))))
(log 2)
2
(* a (+ 1/2 (* a (+ 1/8 (* -1/192 (* a a))))))
(+ 1/2 (* a (+ 1/8 (* -1/192 (* a a)))))
1/2
(* a (+ 1/8 (* -1/192 (* a a))))
(+ 1/8 (* -1/192 (* a a)))
1/8
(* -1/192 (* a a))
-1/192
(* a a)

Outputs
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(+.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
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(* (log (/ (+ 1 (exp a)) b)) -1)
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(log (/ (+ 1 (exp a)) b))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(/ (+ 1 (exp a)) b)
(/.f64 (+.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)
b
-1
#s(literal -1 binary64)
(log b)
(log.f64 b)
(log (+ 1 (+ a 1)))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(+ a 1)
(+.f64 #s(literal 1 binary64) a)
(/ b (+ 1 (exp a)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (* a 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 #s(literal -1/192 binary64) (.f64 a a)))))))
(log 2)
(log.f64 #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* a (+ 1/2 (* a (+ 1/8 (* -1/192 (* a a))))))
(.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a))))))
(+ 1/2 (* a (+ 1/8 (* -1/192 (* a a)))))
(+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a)))))
1/2
#s(literal 1/2 binary64)
(* a (+ 1/8 (* -1/192 (* a a))))
(.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (*.f64 a a))))
(+ 1/8 (* -1/192 (* a a)))
(+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))
1/8
#s(literal 1/8 binary64)
(* -1/192 (* a a))
(.f64 #s(literal -1/192 binary64) (.f64 a a))
-1/192
#s(literal -1/192 binary64)
(* a a)
(*.f64 a a)

Results

64.0ms	152×	0	invalid
45.0ms	104×	0	valid

Compiler

Compiled 160 to 29 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-log: 32.0ms (43.3% of total)

ival-add: 11.0ms (14.9% of total)

ival-mult: 11.0ms (14.9% of total)

<compiled-spec>: 10.0ms (13.5% of total)

ival-div: 5.0ms (6.8% of total)

ival-exp: 4.0ms (5.4% of total)

const: 1.0ms (1.4% of total)

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

series133.0ms (1%)

Counts

19 → 240

Calls

Call 1

Inputs
#<alt (exp (* (log (/ (+ 1 (exp a)) b)) -1))>
#<alt (log (/ (+ 1 (exp a)) b))>
#<alt (log (+ 1 (exp a)))>
#<alt (+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))>
#<alt (log b)>
#<alt (log (+ 1 (+ a 1)))>
#<alt (+ a 1)>
#<alt (/ b (+ 1 (exp a)))>
#<alt (exp a)>
#<alt (+ 1 (exp a))>
#<alt (* -1/192 (* a a))>
#<alt (* a (+ 1/8 (* -1/192 (* a a))))>
#<alt (+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (* a a)))))))>
#<alt (log 2)>
#<alt b>
#<alt a>
#<alt 1>
#<alt 2>
#<alt (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (* a a))))))>

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

Calls

60 calls:

Time	Variable		Point	Expression
20.0ms	b	@	-inf	(log (/ (+ 1 (exp a)) b))
19.0ms	a	@	-inf	(log (/ (+ 1 (exp a)) b))
18.0ms	a	@	inf	(log (/ (+ 1 (exp a)) b))
15.0ms	b	@	0	(log b)
13.0ms	b	@	-inf	(log b)

rewrite585.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

5120×	`accelerator-lowering-fma.f32`
5120×	`accelerator-lowering-fma.f64`
3840×	`-lowering-.f32`
3840×	`-lowering-.f64`
3714×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	108
1	155	100
2	1343	100
0	8405	89

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 445

Calls

Call 1

Inputs
(exp (* (log (/ (+ 1 (exp a)) b)) -1))
(log (/ (+ 1 (exp a)) b))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (exp (* (log (/ (+ 1 (exp a)) b)) -1)))
(log b)
(log (+ 1 (+ a 1)))
(+ a 1)
(/ b (+ 1 (exp a)))
(exp a)
(+ 1 (exp a))
(* -1/192 (* a a))
(* a (+ 1/8 (* -1/192 (* a a))))
(+ (log 2) (* a (+ 1/2 (* a (+ 1/8 (* -1/192 (* a a)))))))
(log 2)
b
a
1
2
(* a (+ 1/2 (* a (+ 1/8 (* -1/192 (* a a))))))

Outputs
(exp.f64 (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(-.f64 #s(literal 0 binary64) (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 a))) (/.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 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 (/.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) (+.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 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (exp.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 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 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (neg.f64 (/.f64 #s(literal 1 binary64) b)))
(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 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(pow.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(*.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 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) (+.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 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 1/2 binary64)))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))
(.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))))
(.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))
(.f64 (/.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (/.f64 #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)) (log1p.f64 (exp.f64 a))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 b))))
(*.f64 (pow.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 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64))))) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (/.f64 #s(literal 1 binary64) b)))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) (/.f64 #s(literal 1 binary64) b)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 2 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))
(+.f64 (log1p.f64 (exp.f64 a)) (-.f64 #s(literal 0 binary64) (log.f64 b)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (/.f64 #s(literal -1 binary64) b)))
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) b))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (log1p.f64 (exp.f64 a)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) b)) (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))))
(-.f64 (log1p.f64 (exp.f64 a)) (log.f64 b))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (.f64 b (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) b)))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (.f64 b (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (.f64 a #s(literal 2 binary64))))) (log.f64 (.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)) b)))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (exp.f64 a))) (log.f64 (-.f64 #s(literal 0 binary64) b)))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 b)) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 b (-.f64 #s(literal -1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))) b)) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))) b)) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
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(.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)))
(.f64 (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64)) a)
(.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 a (.f64 a a))) (.f64 (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (.f64 (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 (.f64 a a) #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)))) (.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (*.f64 a a)) #s(literal 1/8 binary64))))))))
(.f64 (.f64 (.f64 a (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) (-.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 a #s(literal 1/2 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))))))
(.f64 (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (.f64 (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))))))
(.f64 (.f64 a (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))))))
(.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (.f64 (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)))))) a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) (+.f64 (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))) #s(literal -1/2 binary64))))))
(.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64)) (.f64 (.f64 a a) (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))))) a) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 (.f64 #s(literal -1/192 binary64) (.f64 a a)) #s(literal 1/8 binary64))))))

simplify527.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

18376×	`accelerator-lowering-fma.f32`
18376×	`accelerator-lowering-fma.f64`
4250×	`-lowering-.f32`
4250×	`-lowering-.f64`
3608×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	1737
1	537	1678
2	1458	1657
3	4418	1633
0	8227	1502

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval135.0ms (1.1%)

Compiler: Compiled 19715 to 2267 computations (88.5% saved)

prune138.0ms (1.1%)

Pruning

22 alts after pruning (18 fresh and 4 done)

	Pruned	Kept	Total
New	986	11	997
Fresh	3	7	10
Picked	2	3	5
Done	0	1	1
Total	991	22	1013

Accuracy

99.4%

Counts

1013 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	5.2%	(/.f64 b (+.f64 a #s(literal 2 binary64)))
✓	49.3%	(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
▶	11.6%	(/.f64 b #s(literal 2 binary64))
	52.1%	(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
▶	53.1%	(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
	52.4%	(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
	53.8%	(+.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))))))
	57.4%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (/.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) #s(literal -1 binary64))))
	42.9%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
	53.2%	(+.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)))))))
	53.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))))
✓	52.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
▶	66.4%	(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.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)))))))
	2.2%	(.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
	2.5%	(.f64 a (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a))))
✓	51.1%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
▶	53.8%	(log1p.f64 (exp.f64 b))
✓	54.0%	(log1p.f64 (exp.f64 a))
▶	52.5%	(log1p.f64 #s(literal 1 binary64))
	54.0%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	51.1%	(log.f64 (+.f64 a #s(literal 2 binary64)))
	53.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))

Compiler

Compiled 499 to 343 computations (31.3% saved)

localize696.0ms (5.4%)

Algorithm

1×	egg-herbie

Localize:

Found 27 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	b
✓	cost-diff	0	(exp.f64 b)
✓	cost-diff	0	(log1p.f64 (exp.f64 b))
✓	cost-diff	0	b
✓	cost-diff	0	#s(literal 1/2 binary64)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) b)
✓	cost-diff	0	(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
✓	cost-diff	0	#s(literal 1 binary64)
✓	cost-diff	0	(log1p.f64 #s(literal 1 binary64))
✓	cost-diff	0	#s(literal 2 binary64)
✓	cost-diff	0	b
✓	cost-diff	0	(/.f64 b #s(literal 2 binary64))
✓	cost-diff	0	(log1p.f64 (exp.f64 a))
✓	cost-diff	0	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
✓	cost-diff	0	(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
✓	cost-diff	128	(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.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)))))))
✓	accuracy	100.0%	(exp.f64 b)
✓	accuracy	99.2%	(log1p.f64 (exp.f64 b))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) b)
✓	accuracy	100.0%	(log.f64 #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
✓	accuracy	100.0%	(log1p.f64 #s(literal 1 binary64))
✓	accuracy	100.0%	(/.f64 b #s(literal 2 binary64))
✓	accuracy	99.8%	(*.f64 (/.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))))
✓	accuracy	98.9%	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
✓	accuracy	98.9%	(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
✓	accuracy	80.3%	(log1p.f64 (exp.f64 a))

Rules

5638×	`accelerator-lowering-fma.f32`
5638×	`accelerator-lowering-fma.f64`
3280×	`-lowering-.f32`
3280×	`-lowering-.f64`
2800×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	217
1	52	215
2	94	215
3	226	215
4	542	215
5	1281	215
6	2825	215
7	3730	215
8	7048	215
0	8554	183

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

Results

44.0ms	137×	0	valid
219.0ms	67×	5	exit
36.0ms	52×	1	valid

Compiler

Compiled 198 to 27 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 268.0ms

ival-pow: 104.0ms (38.8% of total)

<compiled-spec>: 42.0ms (15.7% of total)

backward-pass: 36.0ms (13.4% of total)

ival-log: 24.0ms (9% of total)

ival-add: 22.0ms (8.2% of total)

ival-div: 15.0ms (5.6% of total)

ival-mult: 11.0ms (4.1% of total)

ival-exp: 7.0ms (2.6% of total)

const: 3.0ms (1.1% of total)

ival-sub: 3.0ms (1.1% of total)

series147.0ms (1.2%)

Counts

17 → 180

Calls

Call 1

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

Outputs
#<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 (pow (log 2) 3)>
#<alt (+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))>
#<alt (+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))>
#<alt (+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (pow (log 2) 2)>
#<alt (+ (* a (log 2)) (pow (log 2) 2))>
#<alt (+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))>
#<alt (+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (pow (log (+ 1 (exp a))) 2)>
#<alt (* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))>
#<alt (* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2))))>
#<alt (* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2))))>
#<alt (* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2))))>
#<alt (/ (pow b 2) (pow (+ 1 (exp a)) 2))>
#<alt (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))>
#<alt (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))>
#<alt (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))>
#<alt (/ (pow b 2) (pow (+ 1 (exp a)) 2))>
#<alt (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))>
#<alt (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))>
#<alt (* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))>
#<alt (* 1/2 (* b (- (* 1/2 b) (log 2))))>
#<alt (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (* a (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))>
#<alt (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* a (- (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))>
#<alt (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* a (- (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* a (- (* -1/2 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* 1/24 (* b (- (* 1/2 b) (log 2)))) (+ (* 1/4 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (* 1/2 (- (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))))))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))>
#<alt (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))>
#<alt (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))>
#<alt (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))>
#<alt (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))>
#<alt (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))>
#<alt (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))>
#<alt (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))>
#<alt (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<alt (* 1/2 b)>
#<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 (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 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))>
#<alt (+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))>
#<alt (+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))>
#<alt (+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/4 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 9/64 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/8 (* -1/2 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* 1/24 (* b (- (* 1/2 b) (log 2)))) (+ (* 1/4 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (* 1/2 (- (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (+ (/ (* (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))>
#<alt (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))>
#<alt (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))>
#<alt (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))>
#<alt (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))>
#<alt (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))>
#<alt (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))>
#<alt (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))>
#<alt (/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))>
#<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 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))>
#<alt (* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))>
#<alt (/ b (+ 1 (exp a)))>
#<alt (* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))>
#<alt (+ (* 1/8 (pow b 3)) (pow (log 2) 3))>
#<alt (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (* 3/16 (pow b 3)))) (pow (log 2) 3)))>
#<alt (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))>
#<alt (+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (pow (log (+ 1 (exp a))) 3)>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))>
#<alt (/ (pow b 3) (pow (+ 1 (exp a)) 3))>
#<alt (* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))>
#<alt (* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))>
#<alt (* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))>
#<alt (/ (pow b 3) (pow (+ 1 (exp a)) 3))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))>
#<alt (* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>
#<alt b>

Calls

45 calls:

Time	Variable		Point	Expression
101.0ms	a	@	inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (/ 1 (+ (pow (log (+ 1 (exp a))) 2) (* (/ b (+ 1 (exp a))) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
4.0ms	a	@	0	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (/ 1 (+ (pow (log (+ 1 (exp a))) 2) (* (/ b (+ 1 (exp a))) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
3.0ms	b	@	0	(+ (* 1/2 b) (log 2))
3.0ms	b	@	0	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (/ 1 (+ (pow (log (+ 1 (exp a))) 2) (* (/ b (+ 1 (exp a))) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))
2.0ms	a	@	-inf	(* (+ (pow (log (+ 1 (exp a))) 3) (pow (/ b (+ 1 (exp a))) 3)) (/ 1 (+ (pow (log (+ 1 (exp a))) 2) (* (/ b (+ 1 (exp a))) (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))))))

rewrite431.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5390×	`accelerator-lowering-fma.f32`
5390×	`accelerator-lowering-fma.f64`
4896×	`/-lowering-/.f32`
4896×	`/-lowering-/.f64`
4062×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	125
1	162	93
2	1462	93
0	8488	78

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 645

Calls

Call 1

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

Outputs
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(exp.f64 (log.f64 (log1p.f64 (exp.f64 a))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))))
(-.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log.f64 (+.f64 (exp.f64 (.f64 a #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64))))) (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 a #s(literal 3 binary64)))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 a) (expm1.f64 a))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 a #s(literal 2 binary64)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 a)))))
(-.f64 (log.f64 (expm1.f64 (*.f64 a #s(literal 2 binary64)))) (log.f64 (expm1.f64 a)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) #s(literal 3 binary64))) (+.f64 (.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64))))) (+.f64 (.f64 (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a))) (log1p.f64 (.f64 (exp.f64 a) (expm1.f64 a)))) (.f64 (log1p.f64 (exp.f64 (.f64 a #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 a) (expm1.f64 a)))))))
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(log1p.f64 (exp.f64 a))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
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(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log1p.f64 (exp.f64 a)))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 (exp.f64 a)))) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 3/2 binary64)) (.f64 (log.f64 (log1p.f64 (exp.f64 a))) #s(literal 3/2 binary64))))
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(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
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(*.f64 (log1p.f64 (exp.f64 a)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (log1p.f64 (exp.f64 a)))
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(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 (exp.f64 a)))) #s(literal 1 binary64)))
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
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(*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))) (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))) (+.f64 (.f64 (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 9 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64)) (pow.f64 (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal 3 binary64))) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)))))
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))))
(*.f64 (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) (log1p.f64 (exp.f64 a))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))
(*.f64 (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)))) (+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 6 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3/2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 2 binary64)) (/.f64 (log1p.f64 (exp.f64 a)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (-.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3/2 binary64)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (-.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3/2 binary64)))))
b
(log.f64 (exp.f64 b))
(+.f64 b #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) b)
#s(literal 2 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)

simplify457.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

8824×	`accelerator-lowering-fma.f32`
8824×	`accelerator-lowering-fma.f64`
3652×	`-lowering-.f32`
3652×	`-lowering-.f64`
3316×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	352	4375
1	1124	4102
2	4063	3884
0	8676	3424

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(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)))
(pow (log 2) 3)
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log (+ 1 (exp a))) 3)
(pow (log 2) 2)
(+ (* a (log 2)) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(pow (log (+ 1 (exp a))) 2)
(* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2))))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2))))
(* b (+ (* -1 (/ (log (+ 1 (exp a))) (+ 1 (exp a)))) (/ b (pow (+ 1 (exp a)) 2))))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))
(/ (pow b 2) (pow (+ 1 (exp a)) 2))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))
(* (pow b 2) (+ (* -1 (/ (log (+ 1 (exp a))) (* b (+ 1 (exp a))))) (/ 1 (pow (+ 1 (exp a)) 2))))
(* 1/2 (* b (- (* 1/2 b) (log 2))))
(+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (* a (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))
(+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* a (- (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))
(+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (* a (- (+ (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* a (- (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* a (- (* -1/2 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b))))) (+ (* 1/24 (* b (- (* 1/2 b) (log 2)))) (+ (* 1/4 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (* 1/2 (- (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))))))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))
(/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))
(/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))
(/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))
(/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))
(/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))
(/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))
(/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))
(/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a)))
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(* 1/2 b)
(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)
(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)))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(/ (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
(+ (* 1/8 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* a (- (+ (* 1/4 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (* 1/2 (/ (+ 1/4 (* 1/4 (log 2))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -3/2 (/ (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 9/64 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/8 (* -1/2 (* b (+ (* -1/2 (+ (* -1/8 b) (* 1/8 b))) (+ (* -1/16 b) (* 1/24 b)))))) (+ (* 1/24 (* b (- (* 1/2 b) (log 2)))) (+ (* 1/4 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (* 1/2 (- (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (+ (/ (* (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/8 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 1/2 (/ (log 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))))) (/ (* (log 2) (+ 1/4 (* 1/4 (log 2)))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))) (+ (* -9/32 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ 1/4 (+ (* -1/2 (* b (+ 1/8 (+ (* -1/8 b) (* 1/8 b))))) (* 1/4 (log 2)))) (+ (* 1/8 (* b (- (* 1/2 b) (log 2)))) (* 1/2 (- (* -1/2 (* b (+ 1/2 (* 1/4 b)))) (* 1/4 (* b (- (* 1/2 b) (log 2))))))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2)) (/ (* (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2))))) (- (+ (* 1/2 (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))))) (/ (pow (log 2) 2) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2))))) (+ (* 3/16 (/ (pow b 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))) (/ (* (+ (* 1/8 (pow b 3)) (pow (log 2) 3)) (- (+ (log 2) (* -1/2 (* b (+ 1/2 (* 1/4 b))))) (* 1/4 (* b (- (* 1/2 b) (log 2)))))) (pow (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)) 2))))) (/ (pow (log 2) 3) (+ (* 1/2 (* b (- (* 1/2 b) (log 2)))) (pow (log 2) 2)))))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(/ (+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3)) (+ (/ (* b (- (/ b (+ 1 (exp a))) (log (+ 1 (exp a))))) (+ 1 (exp a))) (pow (log (+ 1 (exp a))) 2)))
(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 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (pow b 2))) (/ 1 (+ 1 (exp a)))) (* -1 (/ (log (+ 1 (exp a))) b))))
(* b (- (+ (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) (pow b 3))) (/ 1 (+ 1 (exp a)))) (+ (* -1 (/ (log (+ 1 (exp a))) b)) (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) (pow b 2))))))
(/ b (+ 1 (exp a)))
(* -1 (* b (- (* -1 (/ (log (+ 1 (exp a))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(+ (* 1/8 (pow b 3)) (pow (log 2) 3))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(pow (log (+ 1 (exp a))) 3)
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
b
b
b
b
b
b
b
b
b
b
b
b

Outputs
(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 #s(literal -1/192 binary64) (.f64 a 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))
(log (+ 1 (exp a)))
(log1p.f64 (exp.f64 a))
(pow (log 2) 3)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2))) (pow (log 2) 3))
(.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a #s(literal 3/2 binary64))))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 a (+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 a (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))))))))
(+ (* a (+ (* 1/2 (pow (log 2) 2)) (+ (* a (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))))) (pow (log 2) 2)))) (pow (log 2) 3))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 a (+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64)))))))))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(pow (log 2) 2)
(pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64))
(+ (* a (log 2)) (pow (log 2) 2))
(*.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) a))
(+ (* a (+ (log 2) (* a (+ 1/4 (* 1/4 (log 2)))))) (pow (log 2) 2))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 (.f64 a a) (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(+ (* a (+ (log 2) (* a (+ 1/4 (+ (* 1/8 a) (* 1/4 (log 2))))))) (pow (log 2) 2))
(+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) a)) (.f64 a (.f64 a (+.f64 (.f64 a #s(literal 1/8 binary64)) (*.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(pow (log (+ 1 (exp a))) 2)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64))
(* -1 (/ (* b (log (+ 1 (exp a)))) (+ 1 (exp a))))
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(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(* -1 (* b (- (* -1 (/ (- (+ (* -1 (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (/ (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(* -1 (* b (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (log (+ 1 (exp a))) (* (+ 1 (exp a)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))))) b)) (+ (* -1 (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a)))) (* (pow (log (+ 1 (exp a))) 2) (+ 1 (exp a))))) b)) (* -1 (log (+ 1 (exp a))))) b)) (/ 1 (+ 1 (exp a))))))
(*.f64 b (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 (log1p.f64 (exp.f64 a)) b)))
(+ (* 1/8 (pow b 3)) (pow (log 2) 3))
(+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 b (*.f64 b b))))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (pow (log 2) 2)) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (.f64 a (+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 (.f64 b (.f64 b b)) #s(literal -3/16 binary64)))))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (* (log 2) (+ 1/4 (* 1/4 (log 2)))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (.f64 a (+.f64 (+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))) (.f64 (.f64 b (.f64 b b)) #s(literal 3/32 binary64))))) (.f64 (.f64 b (*.f64 b b)) #s(literal -3/16 binary64)))))
(+ (* 1/8 (pow b 3)) (+ (* a (- (+ (* 1/2 (pow (log 2) 2)) (+ (* a (- (+ (* 1/8 (pow (log 2) 2)) (+ (* 1/2 (log 2)) (+ (* a (- (+ (* 1/4 (log 2)) (* 1/2 (+ 1/4 (* 1/4 (log 2))))) (+ (* -3/2 (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3)))) (+ (* -9/32 (pow b 3)) (* 9/64 (pow b 3)))))) (* (log 2) (+ 1/4 (* 1/4 (log 2))))))) (+ (* -9/32 (pow b 3)) (* 3/16 (pow b 3))))) (pow (log 2) 2))) (* 3/16 (pow b 3)))) (pow (log 2) 3)))
(+.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 1/8 binary64) (.f64 b (.f64 b b)))) (.f64 a (+.f64 (+.f64 (.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (.f64 a (+.f64 (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))) (.f64 a (+.f64 (+.f64 #s(literal 1/8 binary64) (.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3/8 binary64))) (.f64 (.f64 b (.f64 b b)) #s(literal 0 binary64))))) (.f64 (.f64 b (.f64 b b)) #s(literal 3/32 binary64))))) (.f64 (.f64 b (.f64 b b)) #s(literal -3/16 binary64)))))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(pow (log (+ 1 (exp a))) 3)
(pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(+ (/ (pow b 3) (pow (+ 1 (exp a)) 3)) (pow (log (+ 1 (exp a))) 3))
(+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64)))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (.f64 b (*.f64 b b)))))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (.f64 b (*.f64 b b)))))
(* (pow b 3) (+ (/ 1 (pow (+ 1 (exp a)) 3)) (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (.f64 b (*.f64 b b)))))
(/ (pow b 3) (pow (+ 1 (exp a)) 3))
(pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (.f64 b (*.f64 b b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (.f64 b (*.f64 b b)))))
(* -1 (* (pow b 3) (- (* -1 (/ (pow (log (+ 1 (exp a))) 3) (pow b 3))) (/ 1 (pow (+ 1 (exp a)) 3)))))
(.f64 (.f64 b (.f64 b b)) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (.f64 b (*.f64 b b)))))
b
b
b
b
b
b
b
b
b
b
b
b

eval140.0ms (1.1%)

Compiler: Compiled 46316 to 3262 computations (93% saved)

prune176.0ms (1.4%)

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	967	8	975
Fresh	2	11	13
Picked	1	4	5
Done	0	4	4
Total	970	27	997

Accuracy

99.4%

Counts

997 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	57.5%	(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
	11.6%	(pow.f64 (/.f64 #s(literal 2 binary64) b) #s(literal -1 binary64))
	5.2%	(/.f64 b (+.f64 a #s(literal 2 binary64)))
✓	49.3%	(/.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))
	52.1%	(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 binary64)))
✓	53.1%	(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
	52.4%	(+.f64 (*.f64 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
	57.4%	(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (/.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) #s(literal -1 binary64))))
	53.2%	(+.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)))))))
	53.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 b (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) b))))
✓	52.2%	(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1/192 binary64) (.f64 a a)))))))
	66.4%	(.f64 (fma.f64 (.f64 b (.f64 b b)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.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)))))))
	52.4%	(.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b b) #s(literal 4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64)))))))
	2.2%	(.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
	53.1%	(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
	2.5%	(.f64 a (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a))))
✓	51.1%	(log1p.f64 (+.f64 a #s(literal 1 binary64)))
	53.1%	(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))))
	53.0%	(log1p.f64 (+.f64 #s(literal 1 binary64) b))
✓	53.8%	(log1p.f64 (exp.f64 b))
✓	54.0%	(log1p.f64 (exp.f64 a))
✓	52.5%	(log1p.f64 #s(literal 1 binary64))
	54.0%	(log.f64 (+.f64 (exp.f64 a) #s(literal 1 binary64)))
	51.1%	(log.f64 (+.f64 a #s(literal 2 binary64)))
	53.0%	(log.f64 (+.f64 #s(literal 2 binary64) b))

Compiler

Compiled 782 to 386 computations (50.6% saved)

regimes72.0ms (0.6%)

Counts

42 → 1

Calls

Call 1

Inputs
(/.f64 b #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(.f64 a (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a))))
(.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) b) #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 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))))
(+.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 #s(literal 1/8 binary64) b))))
(+.f64 (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))) (log.f64 #s(literal 2 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 #s(literal -1/192 binary64) (.f64 a a)))))))
(+.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 (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)))))))))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (log1p.f64 (exp.f64 a)) (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) b)) #s(literal -1 binary64))))
(.f64 (+.f64 (/.f64 (.f64 b (.f64 b b)) #s(literal 8 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 b b) #s(literal 4 binary64)) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (/.f64 b #s(literal 2 binary64)))))))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (exp.f64 (.f64 b #s(literal 3 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (exp.f64 b) (expm1.f64 b))))))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 a)))) (log1p.f64 (exp.f64 a)))
(+.f64 (log1p.f64 (exp.f64 a)) (exp.f64 (.f64 (/.f64 (.f64 (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) (log.f64 (.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) b))) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64)) (pow.f64 (/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.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 (fma.f64 (.f64 b (.f64 b b)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 a)) #s(literal 2 binary64)) (.f64 (/.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)))))))

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

Calls

6 calls:

14.0ms	b
14.0ms	(+.f64 (exp.f64 a) (exp.f64 b))
12.0ms	(exp.f64 b)
12.0ms	a
9.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))

Results

Accuracy	Segments	Branch
98.5%	1	`a`
98.5%	1	`b`
98.5%	1	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
98.5%	1	`(+.f64 (exp.f64 a) (exp.f64 b))`
98.5%	1	`(exp.f64 a)`
98.5%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes66.0ms (0.5%)

Counts

33 → 2

Calls

Call 1

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

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

Calls

6 calls:

17.0ms	(exp.f64 b)
13.0ms	(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
10.0ms	a
9.0ms	b
8.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

Results

Accuracy	Segments	Branch
99.2%	2	`(exp.f64 a)`
99.2%	2	`a`
69.5%	2	`b`
99.2%	2	`(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))`
99.2%	2	`(+.f64 (exp.f64 a) (exp.f64 b))`
56.8%	1	`(exp.f64 b)`

Compiler

Compiled 29 to 21 computations (27.6% saved)

regimes18.0ms (0.1%)

Counts

31 → 2

Calls

Call 1

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

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

Calls

2 calls:

10.0ms	a
7.0ms	(exp.f64 a)

Results

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes20.0ms (0.2%)

Counts

25 → 2

Calls

Call 1

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

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

Calls

2 calls:

12.0ms	a
6.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
98.1%	2	`a`
98.1%	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 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) b))
(/.f64 b (+.f64 a #s(literal 2 binary64)))
(.f64 a (.f64 #s(literal -1/192 binary64) (.f64 a (.f64 a a))))
(.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 a a))) (.f64 a (.f64 a (*.f64 a a))))
(log.f64 b)
(log1p.f64 #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 2 binary64) b))
(log.f64 (+.f64 a #s(literal 2 binary64)))
(log1p.f64 (+.f64 #s(literal 1 binary64) b))
(log1p.f64 (+.f64 a #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) b) #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 #s(literal 1/2 binary64) a) (log.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) b) (log.f64 #s(literal 2 binary64)))
(/.f64 b (+.f64 #s(literal 1 binary64) (exp.f64 a)))
(*.f64 b (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) b)))
(log1p.f64 (+.f64 #s(literal 1 binary64) (.f64 b (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) b)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (.f64 a (+.f64 #s(literal 1/2 binary64) (.f64 a #s(literal 1/8 binary64)))))

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

Calls

2 calls:

6.0ms	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)

regimes12.0ms (0.1%)

Counts

18 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	a
4.0ms	(exp.f64 a)

Results

Accuracy	Segments	Branch
97.9%	2	`a`
97.9%	2	`(exp.f64 a)`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes11.0ms (0.1%)

Counts

16 → 2

Calls

Call 1

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

Calls

2 calls:

5.0ms	a
5.0ms	b

Results

Accuracy	Segments	Branch
53.1%	1	`b`
60.1%	2	`a`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
60.1%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
60.1%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

7 → 2

Calls

Call 1

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

3.0ms

Results

Accuracy	Segments	Branch
59.6%	2	`a`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total -7.0b remaining (-12.4%)

Threshold costs -7b (-12.4%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	b
2.0ms	a

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	1.0036611975972143	1.701627515402832

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.701627515402832

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.701627515402832

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.701627515402832

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.701627515402832

Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch80.0ms (0.6%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-5803.6682778777995	-0.3543526206161599

Results

21.0ms	112×	1	valid
3.0ms	8×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 133 to 114 computations (14.3% saved)

Precisions

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

ival-log: 8.0ms (42.5% of total)

ival-exp: 7.0ms (37.2% of total)

backward-pass: 2.0ms (10.6% of total)

ival-add: 1.0ms (5.3% of total)

const: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-5803.6682778777995	-0.3543526206161599

Results

22.0ms	111×	1	valid
4.0ms	9×	2	valid
1.0ms	8×	0	valid

Compiler

Compiled 117 to 98 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-log: 9.0ms (44.3% of total)

ival-exp: 8.0ms (39.3% of total)

backward-pass: 2.0ms (9.8% of total)

ival-add: 1.0ms (4.9% of total)

const: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	-5803.6682778777995	-0.3543526206161599

Results

19.0ms	116×	1	valid
4.0ms	8×	2	valid
0.0ms	4×	0	valid

Compiler

Compiled 117 to 98 computations (16.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 7.0ms (42% of total)

ival-log: 6.0ms (36% of total)

backward-pass: 2.0ms (12% of total)

ival-add: 1.0ms (6% of total)

const: 0.0ms (0% of total)

bsearch32.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	-5803.6682778777995	-0.3543526206161599

Results

21.0ms	115×	1	valid
4.0ms	11×	2	valid
0.0ms	2×	0	valid

Compiler

Compiled 101 to 90 computations (10.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 7.0ms (41% of total)

ival-log: 6.0ms (35.1% of total)

ival-add: 2.0ms (11.7% of total)

backward-pass: 2.0ms (11.7% of total)

const: 0.0ms (0% of total)

soundness2.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 152 to 51 computations (66.4% saved)

preprocess82.0ms (0.6%)

Compiler: Compiled 452 to 186 computations (58.8% saved)

Iter	Nodes	Cost
0	29	148
1	60	145
2	123	145
3	187	145
4	231	139
5	252	139
6	264	139
7	270	139
8	276	139
9	281	139
10	290	139
11	304	139
12	313	139
13	328	139
14	334	139
15	337	139
16	343	139
17	354	139
18	361	139
19	363	139
0	363	126

Iter	Nodes	Cost
0	29	148
1	60	145
2	123	145
3	187	145
4	231	139
5	252	139
6	264	139
7	270	139
8	276	139
9	281	139
10	290	139
11	304	139
12	313	139
13	328	139
14	334	139
15	337	139
16	343	139
17	354	139
18	361	139
19	363	139
0	363	126

analyze185.0ms (1.4%)

sample5.2s (40.4%)

preprocess16.0ms (0.1%)

explain162.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize84.0ms (0.7%)

series95.0ms (0.7%)

rewrite123.0ms (1%)

simplify669.0ms (5.2%)

eval16.0ms (0.1%)

prune20.0ms (0.2%)

localize369.0ms (2.9%)

series291.0ms (2.3%)

rewrite700.0ms (5.5%)

simplify374.0ms (2.9%)

eval113.0ms (0.9%)

prune113.0ms (0.9%)

localize217.0ms (1.7%)

series133.0ms (1%)

rewrite585.0ms (4.6%)

simplify527.0ms (4.1%)

eval135.0ms (1.1%)

prune138.0ms (1.1%)

localize696.0ms (5.4%)

series147.0ms (1.2%)

rewrite431.0ms (3.4%)

simplify457.0ms (3.6%)

eval140.0ms (1.1%)

prune176.0ms (1.4%)

regimes72.0ms (0.6%)

regimes66.0ms (0.5%)

regimes18.0ms (0.1%)

regimes20.0ms (0.2%)

regimes12.0ms (0.1%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch80.0ms (0.6%)

bsearch34.0ms (0.3%)

bsearch30.0ms (0.2%)

bsearch32.0ms (0.2%)

soundness2.0ms (0%)

preprocess82.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	29	148
1	60	145
2	123	145
3	187	145
4	231	139
5	252	139
6	264	139
7	270	139
8	276	139
9	281	139
10	290	139
11	304	139
12	313	139
13	328	139
14	334	139
15	337	139
16	343	139
17	354	139
18	361	139
19	363	139
0	363	126