Metrics for exp-w (used to crash)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze174.0ms (1%)

Memory

34.4MiB live, 263.3MiB allocated

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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
50%	50%	50%	0.1%	0%	0%	0%	5
51.6%	50%	46.8%	0.1%	0%	3.1%	0%	6
52.5%	50%	45.3%	0.1%	0%	4.7%	0%	7
53.8%	50%	42.9%	0.1%	0%	7%	0%	8
54.5%	50%	41.8%	0.1%	0%	8.2%	0%	9
55.3%	50%	40.4%	0.1%	0%	9.6%	0%	10
55.7%	50%	39.7%	0.1%	0%	10.2%	0%	11
56.2%	50%	39%	0.1%	0%	11%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample9.3s (54.6%)

Memory

59.4MiB live, 9 100.4MiB allocated

Samples

6.9s	4 660×	5	exit
777.0ms	8 256×	0	valid
519.0ms	2 337×	1	exit
144.0ms	1 390×	0	exit

Precisions

Click to see histograms. Total time spent on operations: 7.1s

ival-pow: 3.2s (45.5% of total)

ival-exp: 3.0s (42% of total)

adjust: 422.0ms (5.9% of total)

ival-mult: 289.0ms (4.1% of total)

ival-neg: 149.0ms (2.1% of total)

ival-true: 14.0ms (0.2% of total)

ival-assert: 7.0ms (0.1% of total)

Bogosity

explain98.0ms (0.6%)

Memory

6.6MiB live, 167.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
10	118	(-2.080331208154866e-220 1.6681684485842957e-265)	-	`(pow.f64 l (exp.f64 w))`
0	3	(149.33025949470408 3.3726897404411177e-122)	-	`(exp.f64 (neg.f64 w))`
0	0	-	-	`l`
0	0	-	-	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`
0	0	-	-	`(neg.f64 w)`
0	0	-	-	`(exp.f64 w)`
0	0	-	-	`w`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`pow.f64`	`(pow.f64 l (exp.f64 w))`	sensitivity	128	17
`exp.f64`	`(exp.f64 (neg.f64 w))`	sensitivity	3	1

Confusion

	Predicted +	Predicted -
+	10	0
-	121	125

Precision

0.07633587786259542

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	121	18	107

Precision?

0.06711409395973154

Recall?

1.0

Freqs

test

number	freq
0	125
1	131

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

38.0ms

512×

valid

Compiler

Compiled 54 to 25 computations (53.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-exp: 10.0ms (40.6% of total)

ival-pow: 8.0ms (32.5% of total)

ival-mult: 3.0ms (12.2% of total)

ival-neg: 3.0ms (12.2% of total)

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

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

preprocess100.0ms (0.6%)

Memory

3.7MiB live, 42.1MiB allocated

Algorithm

1×	egg-herbie

Rules

54×	`sub-neg`
48×	`times-frac`
48×	`div-sub`
38×	`associate-/r*`
32×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	44
1	47	44
2	110	41
3	197	41
4	275	41
5	312	41
6	345	41
7	378	41
8	388	41
0	7	8
0	12	8
1	19	8
2	29	7
3	35	7
4	40	7
5	46	7
6	53	7
7	59	7
8	60	7
0	60	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Outputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))

Compiler

Compiled 8 to 7 computations (12.5% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify5.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(exp.f64 w)
cost-diff	0	(pow.f64 l (exp.f64 w))
cost-diff	0	(neg.f64 w)
cost-diff	0	(exp.f64 (neg.f64 w))

Rules

24×	`lower-*.f32`
22×	`lower-*.f64`
12×	`lower-/.f32`
12×	`lower-/.f64`
8×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	21
0	12	21
1	19	21
2	29	20
3	35	20
4	40	20
5	46	20
6	53	20
7	59	20
8	60	20
0	60	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(exp.f64 (neg.f64 w))
(neg.f64 w)
w
(pow.f64 l (exp.f64 w))
l
(exp.f64 w)

Outputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(exp.f64 (neg.f64 w))
(neg.f64 w)
w
(pow.f64 l (exp.f64 w))
l
(exp.f64 w)

localize180.0ms (1.1%)

Memory

-19.4MiB live, 33.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(exp.f64 (neg.f64 w))
accuracy	0	(exp.f64 w)
accuracy	0.0234375	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
accuracy	0.25088786756447023	(pow.f64 l (exp.f64 w))

Samples

18.0ms

256×

valid

Compiler

Compiled 23 to 9 computations (60.9% saved)

Precisions

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

ival-exp: 4.0ms (37.3% of total)

ival-pow: 4.0ms (37.3% of total)

ival-mult: 1.0ms (9.3% of total)

ival-neg: 1.0ms (9.3% of total)

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

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

series142.0ms (0.8%)

Memory

28.0MiB live, 101.7MiB allocated

Counts

5 → 84

Calls

Call 1

Inputs
#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())
#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())
#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())
#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 w)) (taylor 0 w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* 1/2 w) 1))) (taylor 0 w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1))) (taylor 0 w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor 0 w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor 0 w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor 0 w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor 0 w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ l (* l (* w (log l)))) (taylor 0 w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))) (taylor 0 w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))) (taylor 0 w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (+ 1 w) (taylor 0 w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (+ 1 (* 1/2 w)))) (taylor 0 w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (+ 1 (* w (+ 1/2 (* 1/6 w)))))) (taylor 0 w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (* l (log l))))) (taylor 0 w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))))) (taylor 0 w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2))))))))))))))))) (taylor 0 w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (exp (neg w)) (taylor inf w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (neg w)) (taylor inf w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (neg w)) (taylor inf w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (neg w)) (taylor inf w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor inf w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor inf w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor inf w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor inf w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor inf w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor inf w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor inf w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor inf w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp w) (taylor inf w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (exp w) (taylor inf w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (exp w) (taylor inf w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (exp w) (taylor inf w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (pow l (exp w))) (taylor inf w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (pow l (exp w))) (taylor inf w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (pow l (exp w))) (taylor inf w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (pow l (exp w))) (taylor inf w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 w)) (taylor -inf w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 w)) (taylor -inf w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 w)) (taylor -inf w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 w)) (taylor -inf w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor -inf w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor -inf w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor -inf w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor -inf w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor -inf w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor -inf w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor -inf w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor -inf w) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp w) (taylor -inf w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (exp w) (taylor -inf w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (exp w) (taylor -inf w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (exp w) (taylor -inf w) (#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 w)) (pow l (exp w))) (taylor -inf w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 w)) (pow l (exp w))) (taylor -inf w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 w)) (pow l (exp w))) (taylor -inf w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (* -1 w)) (pow l (exp w))) (taylor -inf w) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor 0 l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor 0 l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor 0 l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (pow l (exp w)) (taylor 0 l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (pow l (exp w))) (taylor 0 l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (pow l (exp w))) (taylor 0 l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (pow l (exp w))) (taylor 0 l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (pow l (exp w))) (taylor 0 l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (exp w) (log (/ 1 l))))) (taylor inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (exp w) (log (/ 1 l))))) (taylor inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (exp w) (log (/ 1 l))))) (taylor inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* -1 (* (exp w) (log (/ 1 l))))) (taylor inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l)))))) (taylor inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l)))))) (taylor inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l)))))) (taylor inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l)))))) (taylor inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) (patch (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
66.0ms	w	@	inf	((exp (neg w)) (neg w) (pow l (exp w)) (exp w) (* (exp (neg w)) (pow l (exp w))))
48.0ms	l	@	0	((exp (neg w)) (neg w) (pow l (exp w)) (exp w) (* (exp (neg w)) (pow l (exp w))))
12.0ms	l	@	-inf	((exp (neg w)) (neg w) (pow l (exp w)) (exp w) (* (exp (neg w)) (pow l (exp w))))
7.0ms	l	@	inf	((exp (neg w)) (neg w) (pow l (exp w)) (exp w) (* (exp (neg w)) (pow l (exp w))))
6.0ms	w	@	-inf	((exp (neg w)) (neg w) (pow l (exp w)) (exp w) (* (exp (neg w)) (pow l (exp w))))

simplify352.0ms (2.1%)

Memory

-5.8MiB live, 145.9MiB allocated

Algorithm

1×	egg-herbie

Rules

26 728×	`lower-fma.f64`
26 728×	`lower-fma.f32`
3 984×	`lower-*.f64`
3 984×	`lower-*.f32`
3 260×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	618
1	337	595
2	1115	559
3	4421	536
4	6771	523
0	8290	493

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 82

Calls

Call 1

Inputs
1
(+ 1 (* -1 w))
(+ 1 (* w (- (* 1/2 w) 1)))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(* -1 w)
(* -1 w)
(* -1 w)
(* -1 w)
l
(+ l (* l (* w (log l))))
(+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))
(+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))
1
(+ 1 w)
(+ 1 (* w (+ 1 (* 1/2 w))))
(+ 1 (* w (+ 1 (* w (+ 1/2 (* 1/6 w))))))
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))))))))))))))
(exp (neg w))
(exp (neg w))
(exp (neg w))
(exp (neg w))
(* -1 w)
(* -1 w)
(* -1 w)
(* -1 w)
(pow l (exp w))
(pow l (exp w))
(pow l (exp w))
(pow l (exp w))
(exp w)
(exp w)
(exp w)
(exp w)
(* (exp (neg w)) (pow l (exp w)))
(* (exp (neg w)) (pow l (exp w)))
(* (exp (neg w)) (pow l (exp w)))
(* (exp (neg w)) (pow l (exp w)))
(exp (* -1 w))
(exp (* -1 w))
(exp (* -1 w))
(exp (* -1 w))
(* -1 w)
(* -1 w)
(* -1 w)
(* -1 w)
(pow l (exp w))
(pow l (exp w))
(pow l (exp w))
(pow l (exp w))
(exp w)
(exp w)
(exp w)
(exp w)
(* (exp (* -1 w)) (pow l (exp w)))
(* (exp (* -1 w)) (pow l (exp w)))
(* (exp (* -1 w)) (pow l (exp w)))
(* (exp (* -1 w)) (pow l (exp w)))
(pow l (exp w))
(pow l (exp w))
(pow l (exp w))
(pow l (exp w))
(* (exp (neg w)) (pow l (exp w)))
(* (exp (neg w)) (pow l (exp w)))
(* (exp (neg w)) (pow l (exp w)))
(* (exp (neg w)) (pow l (exp w)))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))

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

rewrite42.0ms (0.2%)

Memory

-2.4MiB live, 34.2MiB allocated

Rules

882×	`frac-add`
532×	`frac-times`
334×	`associate-*r/`
332×	`lower-*.f64`
332×	`lower-*.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	19
0	12	15
1	26	15
2	88	15
3	471	5
4	7978	5
0	8045	5

Stop Event

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

Counts

5 → 143

Calls

Call 1

Inputs
(exp.f64 (neg.f64 w))
(neg.f64 w)
(pow.f64 l (exp.f64 w))
(exp.f64 w)
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Outputs
#<batchref>
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eval70.0ms (0.4%)

Memory: -15.1MiB live, 71.4MiB allocated
Compiler: Compiled 2 894 to 611 computations (78.9% saved)

prune11.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	214	11	225
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	215	11	226

Accuracy

99.9%

Counts

226 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(*.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	91.7%	(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) w) (+.f64 (log.f64 l) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
▶	80.0%	(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
	42.8%	(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
	82.6%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
	79.3%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
▶	71.2%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w)))
	70.0%	(*.f64 #s(approx (exp (neg w)) #s(literal 1 binary64)) (pow.f64 l (exp.f64 w)))
	65.8%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (+.f64 (log.f64 l) #s(literal -1 binary64)) l (.f64 (fma.f64 (fma.f64 l #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) l) (+.f64 (pow.f64 (log.f64 l) #s(literal 3 binary64)) (log.f64 l)) #s(literal 0 binary64))) w (*.f64 l (fma.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (log.f64 l))))) w)) w l))
▶	58.9%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
▶	13.2%	#s(literal 0 binary64)

Compiler

Compiled 302 to 230 computations (23.8% saved)

simplify70.0ms (0.4%)

Memory

-21.6MiB live, 17.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
cost-diff	0	#s(approx (pow l (exp w)) (*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))
cost-diff	0	(neg.f64 w)
cost-diff	0	(exp.f64 (neg.f64 w))
cost-diff	0	(pow.f64 l (exp.f64 w))
cost-diff	0	(-.f64 #s(literal 1 binary64) w)
cost-diff	0	#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
cost-diff	0	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w)))
cost-diff	0	(log.f64 l)
cost-diff	0	(fma.f64 (log.f64 l) l (neg.f64 l))
cost-diff	0	(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
cost-diff	0	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
cost-diff	0	#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
cost-diff	0	(neg.f64 w)
cost-diff	0	(exp.f64 (neg.f64 w))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))

Rules

1 248×	`lower-fma.f32`
1 242×	`lower-fma.f64`
568×	`lower-*.f32`
560×	`lower-*.f64`
346×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	177
0	53	179
1	74	161
2	120	158
3	254	158
4	527	158
5	982	158
6	1876	158
7	2172	158
8	2184	158
9	2185	158
10	2187	158
11	2187	158
0	2187	158

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(exp.f64 (neg.f64 w))
(neg.f64 w)
w
#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) l)
l
(exp.f64 w)
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(fma.f64 (log.f64 l) l (neg.f64 l))
(log.f64 l)
l
(neg.f64 l)
w
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w)))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
#s(literal 1 binary64)
w
(pow.f64 l (exp.f64 w))
l
(exp.f64 w)
(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
(exp.f64 (neg.f64 w))
(neg.f64 w)
w
#s(approx (pow l (exp w)) (*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(log.f64 l)
l
#s(literal 1 binary64)

Outputs
(*.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(/.f64 #s(approx (pow l (exp w)) (pow.f64 l (exp.f64 w))) (exp.f64 w))
(exp.f64 (neg.f64 w))
(neg.f64 w)
w
#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
#s(approx (pow l (exp w)) (pow.f64 l (exp.f64 w)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(pow.f64 l (exp.f64 w))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
l
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) l)
l
(exp.f64 w)
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(fma.f64 (log.f64 l) l (neg.f64 l))
(log.f64 l)
l
(neg.f64 l)
w
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w)))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
#s(literal 1 binary64)
w
(pow.f64 l (exp.f64 w))
l
(exp.f64 w)
(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
(/.f64 #s(approx (pow l (exp w)) (*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) (exp.f64 w))
(exp.f64 (neg.f64 w))
(neg.f64 w)
w
#s(approx (pow l (exp w)) (*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(log.f64 l)
l
#s(literal 1 binary64)

localize102.0ms (0.6%)

Memory

29.2MiB live, 67.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
accuracy	0.11328125	(fma.f64 (log.f64 l) w #s(literal 1 binary64))
accuracy	0.3474121706062746	(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
accuracy	25.54849828176779	#s(approx (pow l (exp w)) (*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))
accuracy	0	(exp.f64 w)
accuracy	0.0234375	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w)))
accuracy	0.25088786756447023	(pow.f64 l (exp.f64 w))
accuracy	24.821326046120568	#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
accuracy	0	(log.f64 l)
accuracy	0.23828125	(fma.f64 (log.f64 l) l (neg.f64 l))
accuracy	0.5618570253915396	(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
accuracy	25.847239016802867	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
accuracy	0	#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
accuracy	0.0234375	(*.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
accuracy	0.1796875	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
accuracy	0.25088786756447023	(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))

Samples

50.0ms

256×

valid

Compiler

Compiled 132 to 25 computations (81.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-mult: 7.0ms (21.3% of total)

ival-pow: 7.0ms (21.3% of total)

ival-div: 4.0ms (12.2% of total)

ival-exp: 4.0ms (12.2% of total)

ival-add: 3.0ms (9.1% of total)

ival-log: 3.0ms (9.1% of total)

ival-neg: 2.0ms (6.1% of total)

ival-sub: 1.0ms (3% of total)

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

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

exact: 0.0ms (0% of total)

series139.0ms (0.8%)

Memory

-15.1MiB live, 99.9MiB allocated

Counts

19 → 360

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())
#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())
#s(alt #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) (patch #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) (patch (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 l) l (neg.f64 l)) (patch (fma.f64 (log.f64 l) l (neg.f64 l)) #<representation binary64>) () ())
#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (patch #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) w) (patch (-.f64 #s(literal 1 binary64) w) #<representation binary64>) () ())
#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())
#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())
#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 l) w #s(literal 1 binary64)) (patch (fma.f64 (log.f64 l) w #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 w)) (taylor 0 w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* 1/2 w) 1))) (taylor 0 w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1))) (taylor 0 w) (#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor 0 w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor 0 w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor 0 w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt (* -1 w) (taylor 0 w) (#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 w) (#s(alt #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) (patch #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* l (* w (log l)))) (taylor 0 w) (#s(alt #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) (patch #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))) (taylor 0 w) (#s(alt #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) (patch #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))) (taylor 0 w) (#s(alt #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) (patch #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (* l (log l))))) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))))) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2))))))))))))))))) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 w) (#s(alt (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) (patch (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (- (* l (log l)) l))) (taylor 0 w) (#s(alt (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) (patch (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) #<representation binary64>) () ())) ())
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#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) (patch #s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (- (* w (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))) 1))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) (patch (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (- (* w (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))) 1))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) (patch (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (- (* w (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))) 1))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) (patch (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (- (* w (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))) 1))) (taylor -inf l) (#s(alt (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) (patch (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l)))))))) (taylor -inf l) (#s(alt (fma.f64 (log.f64 l) l (neg.f64 l)) (patch (fma.f64 (log.f64 l) l (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l)))))))) (taylor -inf l) (#s(alt (fma.f64 (log.f64 l) l (neg.f64 l)) (patch (fma.f64 (log.f64 l) l (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l)))))))) (taylor -inf l) (#s(alt (fma.f64 (log.f64 l) l (neg.f64 l)) (patch (fma.f64 (log.f64 l) l (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* l (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l)))))))) (taylor -inf l) (#s(alt (fma.f64 (log.f64 l) l (neg.f64 l)) (patch (fma.f64 (log.f64 l) l (neg.f64 l)) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 l)))) (taylor -inf l) (#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 l)))) (taylor -inf l) (#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 l)))) (taylor -inf l) (#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 l)))) (taylor -inf l) (#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (fma.f64 (log.f64 l) w #s(literal 1 binary64)) (patch (fma.f64 (log.f64 l) w #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (fma.f64 (log.f64 l) w #s(literal 1 binary64)) (patch (fma.f64 (log.f64 l) w #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (fma.f64 (log.f64 l) w #s(literal 1 binary64)) (patch (fma.f64 (log.f64 l) w #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (fma.f64 (log.f64 l) w #s(literal 1 binary64)) (patch (fma.f64 (log.f64 l) w #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) (patch (.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
45.0ms	l	@	0	((/ -1 (/ -1 l)) (exp (neg w)) (neg w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) (neg l)) w) l) (+ (* (log l) l) (neg l)) (log l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (pow l (exp w)) (* (+ (* (log l) w) 1) l) (pow (/ -1 (/ -1 l)) (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp w) (+ (* (log l) w) 1) (* (exp (neg w)) (pow l (exp w))))
31.0ms	l	@	-inf	((/ -1 (/ -1 l)) (exp (neg w)) (neg w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) (neg l)) w) l) (+ (* (log l) l) (neg l)) (log l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (pow l (exp w)) (* (+ (* (log l) w) 1) l) (pow (/ -1 (/ -1 l)) (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp w) (+ (* (log l) w) 1) (* (exp (neg w)) (pow l (exp w))))
30.0ms	w	@	0	((/ -1 (/ -1 l)) (exp (neg w)) (neg w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) (neg l)) w) l) (+ (* (log l) l) (neg l)) (log l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (pow l (exp w)) (* (+ (* (log l) w) 1) l) (pow (/ -1 (/ -1 l)) (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp w) (+ (* (log l) w) 1) (* (exp (neg w)) (pow l (exp w))))
9.0ms	l	@	inf	((/ -1 (/ -1 l)) (exp (neg w)) (neg w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) (neg l)) w) l) (+ (* (log l) l) (neg l)) (log l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (pow l (exp w)) (* (+ (* (log l) w) 1) l) (pow (/ -1 (/ -1 l)) (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp w) (+ (* (log l) w) 1) (* (exp (neg w)) (pow l (exp w))))
8.0ms	w	@	inf	((/ -1 (/ -1 l)) (exp (neg w)) (neg w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) (neg l)) w) l) (+ (* (log l) l) (neg l)) (log l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (pow l (exp w)) (* (+ (* (log l) w) 1) l) (pow (/ -1 (/ -1 l)) (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp w) (+ (* (log l) w) 1) (* (exp (neg w)) (pow l (exp w))))

simplify303.0ms (1.8%)

Memory

-4.1MiB live, 126.2MiB allocated

Algorithm

1×	egg-herbie

Rules

17 390×	`lower-fma.f64`
17 390×	`lower-fma.f32`
3 974×	`lower-+.f64`
3 974×	`lower-+.f32`
3 686×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	164	2988
1	535	2873
2	1689	2725
3	5242	2625
0	8444	2459

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 338

Calls

Call 1

Inputs
1
(+ 1 (* -1 w))
(+ 1 (* w (- (* 1/2 w) 1)))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(* -1 w)
(* -1 w)
(* -1 w)
(* -1 w)
l
(+ l (* l (* w (log l))))
(+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))
(+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))))))))))))))
l
(+ l (* w (- (* l (log l)) l)))
(+ l (* w (- (* l (log l)) l)))
(+ l (* w (- (* l (log l)) l)))
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
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Outputs
1
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1
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(pow.f64 l (exp.f64 w))
(pow l (exp w))
(pow.f64 l (exp.f64 w))
(pow l (exp w))
(pow.f64 l (exp.f64 w))
(* l (+ 1 (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(* l (+ 1 (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(* l (+ 1 (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(* l (+ 1 (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(pow l (exp w))
(pow.f64 l (exp.f64 w))
(pow l (exp w))
(pow.f64 l (exp.f64 w))
(pow l (exp w))
(pow.f64 l (exp.f64 w))
(pow l (exp w))
(pow.f64 l (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(+ 1 (* w (log l)))
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(+ 1 (* w (log l)))
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(+ 1 (* w (log l)))
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(+ 1 (* w (log l)))
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
l
l
l
l
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* l (+ 1 (* w (- (* -1 (log (/ 1 l))) 1))))
(*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l)
(* l (+ 1 (* w (- (* -1 (log (/ 1 l))) 1))))
(*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l)
(* l (+ 1 (* w (- (* -1 (log (/ 1 l))) 1))))
(*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l)
(* l (+ 1 (* w (- (* -1 (log (/ 1 l))) 1))))
(*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l)
(* l (- (* -1 (log (/ 1 l))) 1))
(fma.f64 (log.f64 l) l (neg.f64 l))
(* l (- (* -1 (log (/ 1 l))) 1))
(fma.f64 (log.f64 l) l (neg.f64 l))
(* l (- (* -1 (log (/ 1 l))) 1))
(fma.f64 (log.f64 l) l (neg.f64 l))
(* l (- (* -1 (log (/ 1 l))) 1))
(fma.f64 (log.f64 l) l (neg.f64 l))
(* -1 (log (/ 1 l)))
(log.f64 l)
(* -1 (log (/ 1 l)))
(log.f64 l)
(* -1 (log (/ 1 l)))
(log.f64 l)
(* -1 (log (/ 1 l)))
(log.f64 l)
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(* l (+ 1 (* -1 (* w (log (/ 1 l))))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(* l (+ 1 (* -1 (* w (log (/ 1 l))))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(* l (+ 1 (* -1 (* w (log (/ 1 l))))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(* l (+ 1 (* -1 (* w (log (/ 1 l))))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(exp (* -1 (* (exp w) (log (/ 1 l)))))
(pow.f64 l (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(+ 1 (* -1 (* w (log (/ 1 l)))))
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(+ 1 (* -1 (* w (log (/ 1 l)))))
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(+ 1 (* -1 (* w (log (/ 1 l)))))
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(+ 1 (* -1 (* w (log (/ 1 l)))))
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* -1 (* (exp w) (log (/ 1 l))))))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
l
l
l
l
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* -1 (* l (- (* w (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))) 1)))
(fma.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) l)) (log.f64 #s(literal -1 binary64))) w w) (neg.f64 l) l)
(* -1 (* l (- (* w (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))) 1)))
(fma.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) l)) (log.f64 #s(literal -1 binary64))) w w) (neg.f64 l) l)
(* -1 (* l (- (* w (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))) 1)))
(fma.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) l)) (log.f64 #s(literal -1 binary64))) w w) (neg.f64 l) l)
(* -1 (* l (- (* w (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))) 1)))
(fma.f64 (fma.f64 (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) l)) (log.f64 #s(literal -1 binary64))) w w) (neg.f64 l) l)
(* -1 (* l (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) l (neg.f64 l))
(* -1 (* l (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) l (neg.f64 l))
(* -1 (* l (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) l (neg.f64 l))
(* -1 (* l (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 l))))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) l (neg.f64 l))
(+ (log -1) (* -1 (log (/ -1 l))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l)))
(+ (log -1) (* -1 (log (/ -1 l))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l)))
(+ (log -1) (* -1 (log (/ -1 l))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l)))
(+ (log -1) (* -1 (log (/ -1 l))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l)))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(* l (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l)))))))
(fma.f64 (*.f64 l w) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) l)
(* l (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l)))))))
(fma.f64 (*.f64 l w) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) l)
(* l (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l)))))))
(fma.f64 (*.f64 l w) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) l)
(* l (+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l)))))))
(fma.f64 (*.f64 l w) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) l)
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) w #s(literal 1 binary64))
(+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) w #s(literal 1 binary64))
(+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) w #s(literal 1 binary64))
(+ 1 (* w (+ (log -1) (* -1 (log (/ -1 l))))))
(fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) w #s(literal 1 binary64))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(/.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (exp.f64 w))

rewrite281.0ms (1.6%)

Memory

18.6MiB live, 212.8MiB allocated

Rules

5 788×	`lower-fma.f32`
5 782×	`lower-fma.f64`
4 282×	`lower-*.f32`
4 274×	`lower-*.f64`
2 786×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	151
0	52	141
1	144	132
2	838	129
0	9442	129

Stop Event

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

Counts

19 → 720

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
(exp.f64 (neg.f64 w))
(neg.f64 w)
#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(fma.f64 (log.f64 l) l (neg.f64 l))
(log.f64 l)
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w)))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
(pow.f64 l (exp.f64 w))
#s(approx (pow l (exp w)) (*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(exp.f64 w)
(fma.f64 (log.f64 l) w #s(literal 1 binary64))
(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))

Outputs
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eval173.0ms (1%)

Memory: -0.6MiB live, 315.1MiB allocated
Compiler: Compiled 22 859 to 3 058 computations (86.6% saved)

prune108.0ms (0.6%)

Memory

-7.7MiB live, 126.0MiB allocated

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 183	16	1 199
Fresh	1	5	6
Picked	3	2	5
Done	0	0	0
Total	1 187	23	1 210

Accuracy

99.9%

Counts

1 210 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	80.0%	(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
▶	99.4%	(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	99.2%	(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (pow.f64 l (.f64 #s(literal 1/2 binary64) (exp.f64 w))) #s(literal 2 binary64))))
	91.7%	(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) w) (+.f64 (log.f64 l) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
▶	42.8%	(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
	82.6%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
	82.4%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
▶	79.3%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
	67.0%	(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
	68.1%	(.f64 #s(approx (exp (neg w)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) w)) (.f64 (+.f64 #s(literal 1 binary64) w) (.f64 w w))) (*.f64 (+.f64 #s(literal 1 binary64) w) (+.f64 #s(literal 1 binary64) w)))) (pow.f64 l (exp.f64 w)))
	81.3%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	86.6%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	81.1%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
	67.2%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))))
	67.1%	(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 l) (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64)))) w (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) w (log.f64 l))) w l)))
▶	81.6%	(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)))
	70.0%	(*.f64 #s(approx (exp (neg w)) #s(approx (- 1 w) #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
	65.8%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (+.f64 (log.f64 l) #s(literal -1 binary64)) l (.f64 (fma.f64 (fma.f64 l #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) l) (+.f64 (pow.f64 (log.f64 l) #s(literal 3 binary64)) (log.f64 l)) #s(literal 0 binary64))) w (*.f64 l (fma.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (log.f64 l))))) w)) w l))
✓	58.9%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
	58.2%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l l) w l))
▶	58.2%	#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
	59.6%	#s(approx (* (exp (neg w)) (pow l (exp w))) (*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l))
✓	13.2%	#s(literal 0 binary64)

Compiler

Compiled 733 to 512 computations (30.2% saved)

simplify141.0ms (0.8%)

Memory

-8.1MiB live, 145.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) w)
cost-diff	0	#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
cost-diff	0	(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)))
cost-diff	6400	(fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l))
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
cost-diff	0	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
cost-diff	0	(fma.f64 (log.f64 l) l l)
cost-diff	0	(*.f64 (fma.f64 (log.f64 l) l l) w)
cost-diff	0	#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
cost-diff	128	(+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l)
cost-diff	0	(neg.f64 w)
cost-diff	0	(exp.f64 (neg.f64 w))
cost-diff	320	(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
cost-diff	0	(exp.f64 w)
cost-diff	0	(pow.f64 (exp.f64 w) #s(literal -1/2 binary64))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
cost-diff	19520	(*.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)))

Rules

11 182×	`lower-fma.f32`
11 170×	`lower-fma.f64`
3 722×	`lower-*.f32`
3 706×	`lower-*.f64`
1 442×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	300
0	74	292
1	118	270
2	203	269
3	511	268
4	1186	268
5	2590	268
6	6039	268
0	8117	261

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(*.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)))
(pow.f64 (exp.f64 w) #s(literal -1/2 binary64))
(exp.f64 w)
w
#s(literal -1/2 binary64)
#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) l)
l
(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
(exp.f64 (neg.f64 w))
(neg.f64 w)
w
#s(literal 1 binary64)
#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
(+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l)
(*.f64 (fma.f64 (log.f64 l) l l) w)
(fma.f64 (log.f64 l) l l)
(log.f64 l)
l
w
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
#s(literal 1/2 binary64)
w
#s(literal -1 binary64)
#s(literal 1 binary64)
(pow.f64 l (exp.f64 w))
l
(exp.f64 w)
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
#s(literal 1 binary64)
w
#s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))
(.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)
(fma.f64 (fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64))
(fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l))
(*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(log.f64 l)
l
(fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(/.f64 #s(approx (pow l (exp w)) (pow.f64 l (exp.f64 w))) (exp.f64 w))
(*.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)))
(exp.f64 (neg.f64 w))
(pow.f64 (exp.f64 w) #s(literal -1/2 binary64))
(exp.f64 w)
w
#s(literal -1/2 binary64)
#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
#s(approx (pow l (exp w)) (pow.f64 l (exp.f64 w)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(pow.f64 l (exp.f64 w))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
l
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) l)
l
(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
(exp.f64 (neg.f64 w))
(exp.f64 (neg.f64 w))
(neg.f64 w)
w
#s(literal 1 binary64)
#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l l) w l))
(+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l)
(fma.f64 (fma.f64 (log.f64 l) l l) w l)
(*.f64 (fma.f64 (log.f64 l) l l) w)
(fma.f64 (log.f64 l) l l)
(log.f64 l)
l
w
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
#s(literal 1/2 binary64)
w
#s(literal -1 binary64)
#s(literal 1 binary64)
(pow.f64 l (exp.f64 w))
l
(exp.f64 w)
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)))
(.f64 #s(approx (pow l (exp w)) (fma.f64 (.f64 (*.f64 (fma.f64 (fma.f64 (log.f64 l) w w) #s(literal 1/2 binary64) #s(literal 1 binary64)) l) w) (log.f64 l) l)) #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
#s(literal 1 binary64)
w
#s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))
#s(approx (pow l (exp w)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (log.f64 l) w w) #s(literal 1/2 binary64) #s(literal 1 binary64)) l) w) (log.f64 l) l))
(.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 (log.f64 l) w w) #s(literal 1/2 binary64) #s(literal 1 binary64)) l) w) (log.f64 l) l)
(fma.f64 (fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (log.f64 l) w w) #s(literal 1/2 binary64) #s(literal 1 binary64)) w) (log.f64 l) #s(literal 1 binary64))
(fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l))
(*.f64 (fma.f64 (fma.f64 (log.f64 l) w w) #s(literal 1/2 binary64) #s(literal 1 binary64)) (log.f64 l))
(*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))
(log.f64 l)
l
(fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize160.0ms (0.9%)

Memory

-2.4MiB live, 277.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.3317375488422101	(*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
accuracy	1.4440341061195467	(.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)
accuracy	8.29418621780926	#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
accuracy	8.351167440212972	#s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))
accuracy	0.00390625	(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
accuracy	0.0234375	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
accuracy	0.25088786756447023	(pow.f64 l (exp.f64 w))
accuracy	8.07162594130753	#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
accuracy	0	(log.f64 l)
accuracy	0.19140625	(fma.f64 (log.f64 l) l l)
accuracy	0.6256087853355965	(*.f64 (fma.f64 (log.f64 l) l l) w)
accuracy	9.051318487161407	#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
accuracy	0	(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
accuracy	0	(neg.f64 w)
accuracy	0	(exp.f64 (neg.f64 w))
accuracy	0.0234375	(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
accuracy	0.04296875	(*.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)))
accuracy	0.16015625	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
accuracy	0.25088786756447023	(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))

Samples

60.0ms	186×	0	valid
38.0ms	70×	1	exit

Compiler

Compiled 230 to 38 computations (83.5% saved)

Precisions

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

adjust: 19.0ms (24.3% of total)

ival-mult: 19.0ms (24.3% of total)

ival-pow: 13.0ms (16.6% of total)

ival-add: 10.0ms (12.8% of total)

ival-div: 4.0ms (5.1% of total)

ival-exp: 4.0ms (5.1% of total)

ival-log: 3.0ms (3.8% of total)

ival-neg: 3.0ms (3.8% of total)

ival-sub: 1.0ms (1.3% of total)

exact: 1.0ms (1.3% of total)

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

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

series139.0ms (0.8%)

Memory

4.8MiB live, 320.6MiB allocated

Counts

26 → 444

Calls

Call 1

Inputs
#s(alt (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (patch (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 w) (patch (exp.f64 w) #<representation binary64>) () ())
#s(alt (.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64)) (patch (.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (exp.f64 (neg.f64 w)) (patch (exp.f64 (neg.f64 w)) #<representation binary64>) () ())
#s(alt (neg.f64 w) (patch (neg.f64 w) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (fma.f64 (log.f64 l) l l) w) l) (patch (+.f64 (.f64 (fma.f64 (log.f64 l) l l) w) l) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (.f64 (fma.f64 (log.f64 l) l l) w) l)) (patch #s(approx ( (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (log.f64 l) l l) w) (patch (.f64 (fma.f64 (log.f64 l) l l) w) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 l) l l) (patch (fma.f64 (log.f64 l) l l) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w))) (patch (.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (patch #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) (patch (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (patch #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) w) (patch (-.f64 #s(literal 1 binary64) w) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())
#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())
#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())
#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) #<representation binary64>) () ())
#s(alt (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())

Outputs
#s(alt 1 (taylor 0 w) (#s(alt (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 w)) (taylor 0 w) (#s(alt (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* 1/2 w) 1))) (taylor 0 w) (#s(alt (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1))) (taylor 0 w) (#s(alt (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) (patch (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 w) (#s(alt (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (patch (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())) ())
#s(alt (* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))) (taylor -inf l) (#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (exp w)) (taylor -inf l) (#s(alt (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (exp w)) (taylor -inf l) (#s(alt (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (exp w)) (taylor -inf l) (#s(alt (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (/ (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (exp w)) (taylor -inf l) (#s(alt (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 l)))) (taylor -inf l) (#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 l)))) (taylor -inf l) (#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 l)))) (taylor -inf l) (#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())) ())
#s(alt (+ (log -1) (* -1 (log (/ -1 l)))) (taylor -inf l) (#s(alt (log.f64 l) (patch (log.f64 l) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt (pow.f64 l (exp.f64 w)) (patch (pow.f64 l (exp.f64 w)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (taylor -inf l) (#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l))))))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l))))))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l))))))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l))))))))))) (taylor -inf l) (#s(alt (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l) #<representation binary64>) () ())) ())
#s(alt (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l))))) (taylor -inf l) (#s(alt (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l))))) (taylor -inf l) (#s(alt (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l))))) (taylor -inf l) (#s(alt (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l))))) (taylor -inf l) (#s(alt (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (patch (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	w	@	-inf	((* (pow (exp w) -1/2) (pow (exp w) -1/2)) (/ -1 (/ -1 l)) (pow (exp w) -1/2) (exp w) (* (exp (neg w)) 1) (exp (neg w)) (neg w) (+ (* (+ (* (log l) l) l) w) l) (* (exp (neg w)) (pow l (exp w))) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow (/ -1 (/ -1 l)) (exp w)) (* (* (pow (exp w) -1/2) (pow (exp w) -1/2)) (pow l (exp w))) (log l) (pow l (exp w)) (pow l (exp w)) (* (+ (* (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) w) 1) l) (* (log l) (+ (* (log l) 1/2) 1/2)))
33.0ms	w	@	0	((* (pow (exp w) -1/2) (pow (exp w) -1/2)) (/ -1 (/ -1 l)) (pow (exp w) -1/2) (exp w) (* (exp (neg w)) 1) (exp (neg w)) (neg w) (+ (* (+ (* (log l) l) l) w) l) (* (exp (neg w)) (pow l (exp w))) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow (/ -1 (/ -1 l)) (exp w)) (* (* (pow (exp w) -1/2) (pow (exp w) -1/2)) (pow l (exp w))) (log l) (pow l (exp w)) (pow l (exp w)) (* (+ (* (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) w) 1) l) (* (log l) (+ (* (log l) 1/2) 1/2)))
14.0ms	l	@	0	((* (pow (exp w) -1/2) (pow (exp w) -1/2)) (/ -1 (/ -1 l)) (pow (exp w) -1/2) (exp w) (* (exp (neg w)) 1) (exp (neg w)) (neg w) (+ (* (+ (* (log l) l) l) w) l) (* (exp (neg w)) (pow l (exp w))) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow (/ -1 (/ -1 l)) (exp w)) (* (* (pow (exp w) -1/2) (pow (exp w) -1/2)) (pow l (exp w))) (log l) (pow l (exp w)) (pow l (exp w)) (* (+ (* (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) w) 1) l) (* (log l) (+ (* (log l) 1/2) 1/2)))
12.0ms	l	@	-inf	((* (pow (exp w) -1/2) (pow (exp w) -1/2)) (/ -1 (/ -1 l)) (pow (exp w) -1/2) (exp w) (* (exp (neg w)) 1) (exp (neg w)) (neg w) (+ (* (+ (* (log l) l) l) w) l) (* (exp (neg w)) (pow l (exp w))) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow (/ -1 (/ -1 l)) (exp w)) (* (* (pow (exp w) -1/2) (pow (exp w) -1/2)) (pow l (exp w))) (log l) (pow l (exp w)) (pow l (exp w)) (* (+ (* (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) w) 1) l) (* (log l) (+ (* (log l) 1/2) 1/2)))
12.0ms	w	@	inf	((* (pow (exp w) -1/2) (pow (exp w) -1/2)) (/ -1 (/ -1 l)) (pow (exp w) -1/2) (exp w) (* (exp (neg w)) 1) (exp (neg w)) (neg w) (+ (* (+ (* (log l) l) l) w) l) (* (exp (neg w)) (pow l (exp w))) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow (/ -1 (/ -1 l)) (exp w)) (* (* (pow (exp w) -1/2) (pow (exp w) -1/2)) (pow l (exp w))) (log l) (pow l (exp w)) (pow l (exp w)) (* (+ (* (+ (* (* (log l) (+ (* (log l) 1/2) 1/2)) w) (log l)) w) 1) l) (* (log l) (+ (* (log l) 1/2) 1/2)))

simplify310.0ms (1.8%)

Memory

25.4MiB live, 252.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 262×	`lower-fma.f64`
16 262×	`lower-fma.f32`
6 786×	`lower-+.f64`
6 786×	`lower-+.f32`
4 712×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	266	4168
1	869	3955
2	3040	3782
0	8185	3467

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 423

Calls

Call 1

Inputs
1
(+ 1 (* -1 w))
(+ 1 (* w (- (* 1/2 w) 1)))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
1
(+ 1 (* -1/2 w))
(+ 1 (* w (- (* 1/8 w) 1/2)))
(+ 1 (* w (- (* w (+ 1/8 (* -1/48 w))) 1/2)))
1
(+ 1 w)
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(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))))))))
(* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))))))))
(* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))))))))
(* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))))))))
(* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 w))
(fma.f64 #s(literal -1/2 binary64) w #s(literal 1 binary64))
(+ 1 (* w (- (* 1/8 w) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/8 binary64) w #s(literal -1/2 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/8 (* -1/48 w))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/48 binary64) w #s(literal 1/8 binary64)) w #s(literal -1/2 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 w)
(+.f64 w #s(literal 1 binary64))
(+ 1 (* w (+ 1 (* 1/2 w))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (+ 1 (* w (+ 1/2 (* 1/6 w))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(* -1 w)
(neg.f64 w)
(* -1 w)
(neg.f64 w)
(* -1 w)
(neg.f64 w)
(* -1 w)
(neg.f64 w)
l
(+ l (* w (+ l (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l l) w l)
(+ l (* w (+ l (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l l) w l)
(+ l (* w (+ l (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l l) w l)
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 l (-.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))))))))))))))
(fma.f64 (fma.f64 (fma.f64 l (+.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 l))) (fma.f64 (-.f64 #s(literal 1 binary64) w) (.f64 (.f64 l (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 l)) (.f64 (fma.f64 l #s(literal -1/6 binary64) (fma.f64 (.f64 (log.f64 l) l) #s(literal 2/3 binary64) (.f64 (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) l))) w))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 l (-.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))))))))))))))
(fma.f64 (fma.f64 (fma.f64 l (+.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 l))) (fma.f64 (-.f64 #s(literal 1 binary64) w) (.f64 (.f64 l (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 l)) (.f64 (fma.f64 l #s(literal -1/6 binary64) (fma.f64 (.f64 (log.f64 l) l) #s(literal 2/3 binary64) (.f64 (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) l))) w))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 w) 1)
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
(- (* 1/2 w) 1)
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
(- (* 1/2 w) 1)
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
(log l)
(log.f64 l)
(+ (log l) (* w (* (log l) (+ 1/2 (* 1/2 (log l))))))
(*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l))
(+ (log l) (* w (* (log l) (+ 1/2 (* 1/2 (log l))))))
(*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l))
(+ (log l) (* w (* (log l) (+ 1/2 (* 1/2 (log l))))))
(*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l))
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 l (-.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))))))))))))))
(fma.f64 (fma.f64 (fma.f64 l (+.f64 #s(literal 1/2 binary64) (neg.f64 (log.f64 l))) (fma.f64 (-.f64 #s(literal 1 binary64) w) (.f64 (.f64 l (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (log.f64 l)) (.f64 (fma.f64 l #s(literal -1/6 binary64) (fma.f64 (.f64 (log.f64 l) l) #s(literal 2/3 binary64) (.f64 (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) l))) w))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
l
(+ l (* l (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))
(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))
(fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 l) #s(literal 1/6 binary64))) w)) w (log.f64 l))) w l)
l
(+ l (* w (- (* l (log l)) l)))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(+ l (* w (- (+ (* l (log l)) (* w (- (+ l (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* 1/2 l) (* l (log l)))))) l)))
(fma.f64 (fma.f64 (*.f64 l (-.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(+ l (* w (- (+ (* l (log l)) (* w (- (+ l (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (- (+ (* 1/2 l) (+ (* l (log l)) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2))))))) (+ l (+ (* 1/6 l) (+ (* 1/2 (- (* l (log l)) l)) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))))) (+ (* 1/2 l) (* l (log l)))))) l)))
(fma.f64 (fma.f64 (fma.f64 l (-.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l)) (.f64 (fma.f64 (fma.f64 #s(literal 7/6 binary64) (log.f64 l) (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) l (fma.f64 l #s(literal -1/2 binary64) (neg.f64 (fma.f64 l (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/6 binary64)) (*.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) #s(literal 1/2 binary64)))))) w)) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
l
(+ l (* l (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))
(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))
(fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 l) #s(literal 1/6 binary64))) w)) w (log.f64 l))) w l)
l
(+ l (* l (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))
(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))
(fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 (log.f64 l) #s(literal 1/6 binary64))) w)) w (log.f64 l))) w l)
l
(+ l (* l (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (* (log l) (+ 1/2 (* 1/2 (log l)))))))))
(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (* (log l) (+ 1/2 (* 1/2 (log l)))))))))
(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
(/ 1 (exp w))
(exp.f64 (neg.f64 w))
(/ 1 (exp w))
(exp.f64 (neg.f64 w))
(/ 1 (exp w))
(exp.f64 (neg.f64 w))
(/ 1 (exp w))
(exp.f64 (neg.f64 w))
(sqrt (/ 1 (exp w)))
(sqrt.f64 (exp.f64 (neg.f64 w)))
(sqrt (/ 1 (exp w)))
(sqrt.f64 (exp.f64 (neg.f64 w)))
(sqrt (/ 1 (exp w)))
(sqrt.f64 (exp.f64 (neg.f64 w)))
(sqrt (/ 1 (exp w)))
(sqrt.f64 (exp.f64 (neg.f64 w)))
(exp w)
(exp.f64 w)
(exp w)
(exp.f64 w)
(exp w)
(exp.f64 w)
(exp w)
(exp.f64 w)
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(* -1 w)
(neg.f64 w)
(* -1 w)
(neg.f64 w)
(* -1 w)
(neg.f64 w)
(* -1 w)
(neg.f64 w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (+ (* l (log l)) (/ l w))))
(*.f64 (+.f64 (fma.f64 (log.f64 l) l (/.f64 l w)) l) w)
(* w (+ l (+ (* l (log l)) (/ l w))))
(*.f64 (+.f64 (fma.f64 (log.f64 l) l (/.f64 l w)) l) w)
(* w (+ l (+ (* l (log l)) (/ l w))))
(*.f64 (+.f64 (fma.f64 (log.f64 l) l (/.f64 l w)) l) w)
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(* (exp (neg w)) (pow l (exp w)))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
(exp (neg w))
(exp.f64 (neg.f64 w))
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(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l)))) w #s(literal 1 binary64)) l)
(* l (+ 1 (* w (+ (log -1) (+ (* -1 (log (/ -1 l))) (* w (* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))))))))
(.f64 (fma.f64 (.f64 (fma.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l)))) w #s(literal 1 binary64)) l)
(* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))))
(* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))))
(* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))))
(* (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(*.f64 (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) l))))

rewrite501.0ms (2.9%)

Memory

-207.9MiB live, 270.8MiB allocated

Rules

4 942×	`lower-*.f32`
4 926×	`lower-*.f64`
4 354×	`lower-/.f32`
4 350×	`lower-/.f64`
3 856×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	243
0	74	229
1	247	216
2	1485	216
0	8114	214

Stop Event

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

Counts

26 → 632

Calls

Call 1

Inputs
(*.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
(pow.f64 (exp.f64 w) #s(literal -1/2 binary64))
(exp.f64 w)
(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
(exp.f64 (neg.f64 w))
(neg.f64 w)
(+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l)
#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(fma.f64 (log.f64 l) l l)
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
(fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l))
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(log.f64 l)
(pow.f64 l (exp.f64 w))
#s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l))
(.f64 (fma.f64 (fma.f64 (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)
(*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))

Outputs
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eval220.0ms (1.3%)

Memory: 3.3MiB live, 309.9MiB allocated
Compiler: Compiled 28 235 to 3 435 computations (87.8% saved)

prune131.0ms (0.8%)

Memory

28.5MiB live, 104.3MiB allocated

Pruning

29 alts after pruning (26 fresh and 3 done)

	Pruned	Kept	Total
New	1 193	16	1 209
Fresh	6	10	16
Picked	4	1	5
Done	0	2	2
Total	1 203	29	1 232

Accuracy

99.9%

Counts

1 232 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	80.0%	(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
	84.3%	(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	92.5%	(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) #s(approx (pow (exp w) -1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) w #s(literal -1/2 binary64)) w #s(literal 1 binary64)))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	99.2%	(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (pow.f64 l (.f64 #s(literal 1/2 binary64) (exp.f64 w))) #s(literal 2 binary64))))
	82.4%	(.f64 #s(approx ( (pow (exp w) -1/2) (pow (exp w) -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	82.6%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
	76.0%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	81.2%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	75.2%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
▶	82.0%	(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
▶	81.3%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	86.6%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	81.1%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
	67.2%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))))
	67.1%	(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (log.f64 l) #s(literal 1/6 binary64))) w)) w (log.f64 l))) w l)))
	81.6%	(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
	42.8%	(exp.f64 (neg.f64 w))
	65.8%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (+.f64 (log.f64 l) #s(literal -1 binary64)) l (.f64 (fma.f64 (fma.f64 l #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) l) (+.f64 (pow.f64 (log.f64 l) #s(literal 3 binary64)) (log.f64 l)) #s(literal 0 binary64))) w (*.f64 l (fma.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (log.f64 l))))) w)) w l))
✓	58.9%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
	58.2%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l l) w l))
✓	58.2%	#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
	59.6%	#s(approx (* (exp (neg w)) (pow l (exp w))) (*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l))
▶	3.5%	#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
	23.2%	#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
	18.5%	#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
	5.2%	#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
▶	4.6%	#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
✓	13.2%	#s(literal 0 binary64)

Compiler

Compiled 865 to 631 computations (27.1% saved)

simplify255.0ms (1.5%)

Memory

-21.9MiB live, 97.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
cost-diff	0	#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
cost-diff	0	(pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))
cost-diff	0	(-.f64 #s(literal 1 binary64) w)
cost-diff	0	#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
cost-diff	0	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
cost-diff	0	(fma.f64 (log.f64 l) l l)
cost-diff	0	(*.f64 (fma.f64 (log.f64 l) l l) w)
cost-diff	0	#s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))
cost-diff	0	#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
cost-diff	0	#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
cost-diff	0	(pow.f64 (exp.f64 w) #s(literal -1/4 binary64))
cost-diff	0	(pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))

Rules

8 636×	`lower-fma.f32`
8 618×	`lower-fma.f64`
3 248×	`lower-*.f32`
3 236×	`lower-*.f64`
2 436×	`lower--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	357
0	85	355
1	131	339
2	224	338
3	517	338
4	1649	338
5	3903	338
6	7053	338
0	8364	336

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 w) #s(literal -1/4 binary64))
(exp.f64 w)
w
#s(literal -1/4 binary64)
#s(literal 4 binary64)
#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) l)
l
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
#s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(fma.f64 (log.f64 l) l l)
(log.f64 l)
l
w
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
#s(literal 1 binary64)
w
(pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))
l
#s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
#s(literal 1/2 binary64)
w
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l))
(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
(fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64))
(*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l))
(fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(log.f64 l)
l

Outputs
(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(*.f64 #s(approx (pow l (exp w)) (pow.f64 l (exp.f64 w))) (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 w) #s(literal -1/4 binary64))
(exp.f64 w)
w
#s(literal -1/4 binary64)
#s(literal 4 binary64)
#s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))
#s(approx (pow l (exp w)) (pow.f64 l (exp.f64 w)))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
(pow.f64 l (exp.f64 w))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
l
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) l)
l
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
#s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(fma.f64 (log.f64 l) l l)
(log.f64 l)
l
w
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(.f64 (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))) #s(approx ( (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w)))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
#s(literal 1 binary64)
w
(pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))
l
#s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
(.f64 #s(approx (pow l (exp w)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) l) w) (log.f64 l) l)) #s(approx ( (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))))
#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
#s(literal 1/2 binary64)
w
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l))
#s(approx (pow l (exp w)) (fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) l) w) (log.f64 l) l))
(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
(fma.f64 (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) l) w) (log.f64 l) l)
(fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w) (log.f64 l) #s(literal 1 binary64))
(*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) (log.f64 l))
(fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64))
(fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64))
(log.f64 l)
l

localize174.0ms (1%)

Memory

6.9MiB live, 219.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l))
accuracy	1.4440341061195467	(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
accuracy	8.07162594130753	#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
accuracy	8.351167440212972	#s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l))
accuracy	0.04296875	(fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64))
accuracy	0.25088786756447023	(pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))
accuracy	3.5549272908031484	#s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))
accuracy	8.29418621780926	#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
accuracy	0.19140625	(fma.f64 (log.f64 l) l l)
accuracy	0.6256087853355965	(*.f64 (fma.f64 (log.f64 l) l l) w)
accuracy	9.051318487161407	#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
accuracy	37.66441184516086	#s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))
accuracy	8.936649788428252	#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
accuracy	0.0234375	(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
accuracy	0.07458881837909413	(pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64))
accuracy	0.16015625	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
accuracy	0.25088786756447023	(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))

Samples

67.0ms	186×	0	valid
60.0ms	70×	1	exit

Compiler

Compiled 245 to 46 computations (81.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 37.0ms (35.5% of total)

ival-add: 26.0ms (25% of total)

ival-pow: 16.0ms (15.4% of total)

adjust: 6.0ms (5.8% of total)

ival-div: 4.0ms (3.8% of total)

ival-exp: 4.0ms (3.8% of total)

const: 4.0ms (3.8% of total)

ival-log: 3.0ms (2.9% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

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

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

series158.0ms (0.9%)

Memory

-3.3MiB live, 230.5MiB allocated

Counts

23 → 408

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())
#s(alt (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) (patch (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) (patch #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w))) (patch #s(approx ( (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w)) (patch #s(approx (+ ( (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (log.f64 l) l l) w) (patch (.f64 (fma.f64 (log.f64 l) l l) w) #<representation binary64>) () ())
#s(alt (fma.f64 (log.f64 l) l l) (patch (fma.f64 (log.f64 l) l l) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (patch #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) w) (patch (-.f64 #s(literal 1 binary64) w) #<representation binary64>) () ())
#s(alt (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))) (patch (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l))) (patch (.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l))) #<representation binary64>) () ())
#s(alt #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (patch #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) (patch (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)) #<representation binary64>) () ())
#s(alt #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))) (patch #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)) (patch #s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l) (patch (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) (patch (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) #<representation binary64>) () ())

Outputs
#s(alt l (taylor 0 w) (#s(alt (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (- (* l (log l)) l))) (taylor 0 w) (#s(alt (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (- (+ (* l (log l)) (* w (- (+ l (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* 1/2 l) (* l (log l)))))) l))) (taylor 0 w) (#s(alt (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (- (+ (* l (log l)) (* w (- (+ l (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (- (+ (* 1/2 l) (+ (* l (log l)) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2))))))) (+ l (+ (* 1/6 l) (+ (* 1/2 (- (* l (log l)) l)) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))))) (+ (* 1/2 l) (* l (log l)))))) l))) (taylor 0 w) (#s(alt (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) (patch (.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 w) (#s(alt (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 w)) (taylor 0 w) (#s(alt (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* 1/2 w) 1))) (taylor 0 w) (#s(alt (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1))) (taylor 0 w) (#s(alt (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) (patch (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 w) (#s(alt (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) (patch (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 w)) (taylor 0 w) (#s(alt (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) (patch (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* 1/32 w) 1/4))) (taylor 0 w) (#s(alt (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) (patch (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* w (+ 1/32 (* -1/384 w))) 1/4))) (taylor 0 w) (#s(alt (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) (patch (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) (patch #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 w)) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) (patch #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* 1/2 w) 1))) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) (patch #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1))) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) (patch #s(approx (* (exp (neg w)) 1) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w))) (patch #s(approx ( (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (* l (log l))))) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w))) (patch #s(approx ( (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))))) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w))) (patch #s(approx ( (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2))))))))))))))))) (taylor 0 w) (#s(alt #s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w))) (patch #s(approx ( (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 w) (#s(alt #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w)) (patch #s(approx (+ ( (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ l (* l (log l))))) (taylor 0 w) (#s(alt #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w)) (patch #s(approx (+ ( (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ l (* l (log l))))) (taylor 0 w) (#s(alt #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w)) (patch #s(approx (+ ( (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)) #<representation binary64>) () ())) ())
#s(alt (+ l (* w (+ l (* l (log l))))) (taylor 0 w) (#s(alt #s(approx (+ (* (+ (* (log l) l) l) w) l) (.f64 (fma.f64 (log.f64 l) l l) w)) (patch #s(approx (+ ( (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)) #<representation binary64>) () ())) ())
#s(alt (* w (+ l (* l (log l)))) (taylor 0 w) (#s(alt (.f64 (fma.f64 (log.f64 l) l l) w) (patch (.f64 (fma.f64 (log.f64 l) l l) w) #<representation binary64>) () ())) ())
#s(alt (* w (+ l (* l (log l)))) (taylor 0 w) (#s(alt (.f64 (fma.f64 (log.f64 l) l l) w) (patch (.f64 (fma.f64 (log.f64 l) l l) w) #<representation binary64>) () ())) ())
#s(alt (* w (+ l (* l (log l)))) (taylor 0 w) (#s(alt (.f64 (fma.f64 (log.f64 l) l l) w) (patch (.f64 (fma.f64 (log.f64 l) l l) w) #<representation binary64>) () ())) ())
#s(alt (* w (+ l (* l (log l)))) (taylor 0 w) (#s(alt (.f64 (fma.f64 (log.f64 l) l l) w) (patch (.f64 (fma.f64 (log.f64 l) l l) w) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 w) (#s(alt (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))) (patch (.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))) #<representation binary64>) () ())) ())
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Calls

6 calls:

Time	Variable		Point	Expression
68.0ms	w	@	-inf	((/ -1 (/ -1 l)) (* (pow (pow (exp w) -1/4) 4) (pow l (exp w))) (pow (pow (exp w) -1/4) 4) (pow (exp w) -1/4) (* (exp (neg w)) 1) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) l) w) l) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (pow (/ -1 (/ -1 l)) (exp w)) (exp w) (+ (* 1/6 w) 1/2) (pow l (exp w)) (* (+ (* (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)) w) 1) l) (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)))
25.0ms	w	@	inf	((/ -1 (/ -1 l)) (* (pow (pow (exp w) -1/4) 4) (pow l (exp w))) (pow (pow (exp w) -1/4) 4) (pow (exp w) -1/4) (* (exp (neg w)) 1) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) l) w) l) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (pow (/ -1 (/ -1 l)) (exp w)) (exp w) (+ (* 1/6 w) 1/2) (pow l (exp w)) (* (+ (* (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)) w) 1) l) (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)))
13.0ms	l	@	inf	((/ -1 (/ -1 l)) (* (pow (pow (exp w) -1/4) 4) (pow l (exp w))) (pow (pow (exp w) -1/4) 4) (pow (exp w) -1/4) (* (exp (neg w)) 1) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) l) w) l) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (pow (/ -1 (/ -1 l)) (exp w)) (exp w) (+ (* 1/6 w) 1/2) (pow l (exp w)) (* (+ (* (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)) w) 1) l) (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)))
13.0ms	w	@	0	((/ -1 (/ -1 l)) (* (pow (pow (exp w) -1/4) 4) (pow l (exp w))) (pow (pow (exp w) -1/4) 4) (pow (exp w) -1/4) (* (exp (neg w)) 1) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) l) w) l) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (pow (/ -1 (/ -1 l)) (exp w)) (exp w) (+ (* 1/6 w) 1/2) (pow l (exp w)) (* (+ (* (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)) w) 1) l) (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)))
11.0ms	l	@	0	((/ -1 (/ -1 l)) (* (pow (pow (exp w) -1/4) 4) (pow l (exp w))) (pow (pow (exp w) -1/4) 4) (pow (exp w) -1/4) (* (exp (neg w)) 1) (* (exp (neg w)) (pow l (exp w))) (+ (* (+ (* (log l) l) l) w) l) (* (+ (* (log l) l) l) w) (+ (* (log l) l) l) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (- 1 w) (pow l (exp w)) (* (exp (neg w)) (pow l (exp w))) (exp (neg w)) (+ (* (+ (* 1/2 w) -1) w) 1) (+ (* 1/2 w) -1) (pow (/ -1 (/ -1 l)) (exp w)) (exp w) (+ (* 1/6 w) 1/2) (pow l (exp w)) (* (+ (* (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)) w) 1) l) (* (+ (* w (+ (* (log l) 1/2) 1/2)) 1) (log l)))

simplify227.0ms (1.3%)

Memory

14.5MiB live, 234.6MiB allocated

Algorithm

1×	egg-herbie

Rules

22 118×	`lower-fma.f64`
22 118×	`lower-fma.f32`
4 954×	`lower-+.f64`
4 954×	`lower-+.f32`
4 088×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	3807
1	891	3655
2	3071	3544
3	7182	3456
0	8079	3147

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 387

Calls

Call 1

Inputs
l
(+ l (* w (- (* l (log l)) l)))
(+ l (* w (- (+ (* l (log l)) (* w (- (+ l (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* 1/2 l) (* l (log l)))))) l)))
(+ l (* w (- (+ (* l (log l)) (* w (- (+ l (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (- (+ (* 1/2 l) (+ (* l (log l)) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2))))))) (+ l (+ (* 1/6 l) (+ (* 1/2 (- (* l (log l)) l)) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))))) (+ (* 1/2 l) (* l (log l)))))) l)))
1
(+ 1 (* -1 w))
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1
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1
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l
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l
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1
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l
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1
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1
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1
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l
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l
(/ (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (exp w))
(/ (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (exp w))
(/ (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (exp w))
(/ (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))) (exp w))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* -1 (* l (- (* w (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1)) 1)))
(* -1 (* l (- (* w (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1)) 1)))
(* -1 (* l (- (* w (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1)) 1)))
(* -1 (* l (- (* w (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1)) 1)))
(* -1 (* l (* w (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1))))
(* -1 (* l (* w (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1))))
(* -1 (* l (* w (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1))))
(* -1 (* l (* w (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1))))
(* -1 (* l (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1)))
(* -1 (* l (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1)))
(* -1 (* l (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1)))
(* -1 (* l (- (* -1 (+ (log -1) (* -1 (log (/ -1 l))))) 1)))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(* (exp (neg w)) (exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l)))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(exp (* (exp w) (+ (log -1) (* -1 (log (/ -1 l))))))
(* l (+ 1 (* w (* (+ 1 (* w (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))))) (+ (log -1) (* -1 (log (/ -1 l))))))))
(* l (+ 1 (* w (* (+ 1 (* w (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))))) (+ (log -1) (* -1 (log (/ -1 l))))))))
(* l (+ 1 (* w (* (+ 1 (* w (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))))) (+ (log -1) (* -1 (log (/ -1 l))))))))
(* l (+ 1 (* w (* (+ 1 (* w (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))))) (+ (log -1) (* -1 (log (/ -1 l))))))))
(* (+ 1 (* w (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(* (+ 1 (* w (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(* (+ 1 (* w (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))))) (+ (log -1) (* -1 (log (/ -1 l)))))
(* (+ 1 (* w (+ 1/2 (* 1/2 (+ (log -1) (* -1 (log (/ -1 l)))))))) (+ (log -1) (* -1 (log (/ -1 l)))))

Outputs
l
(+ l (* w (- (* l (log l)) l)))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(+ l (* w (- (+ (* l (log l)) (* w (- (+ l (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* 1/2 l) (* l (log l)))))) l)))
(fma.f64 (fma.f64 (*.f64 l (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(+ l (* w (- (+ (* l (log l)) (* w (- (+ l (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (- (+ (* 1/2 l) (+ (* l (log l)) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2))))))) (+ l (+ (* 1/6 l) (+ (* 1/2 (- (* l (log l)) l)) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))))) (+ (* 1/2 l) (* l (log l)))))) l)))
(fma.f64 (fma.f64 (fma.f64 l (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l)) (.f64 (fma.f64 (fma.f64 #s(literal 7/6 binary64) (log.f64 l) (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64)))) l (-.f64 (.f64 #s(literal -1/2 binary64) l) (fma.f64 l (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/6 binary64)) (.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) #s(literal 1/2 binary64))))) w)) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 w))
(fma.f64 #s(literal -1/4 binary64) w #s(literal 1 binary64))
(+ 1 (* w (- (* 1/32 w) 1/4)))
(fma.f64 (fma.f64 #s(literal 1/32 binary64) w #s(literal -1/4 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/32 (* -1/384 w))) 1/4)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/384 binary64) w #s(literal 1/32 binary64)) w #s(literal -1/4 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 l (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))))))))))))))
(fma.f64 (fma.f64 (fma.f64 l (fma.f64 #s(literal -1 binary64) (log.f64 l) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) w) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (log.f64 l) l l)) (log.f64 l)) (.f64 (fma.f64 #s(literal -1/6 binary64) l (fma.f64 (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64))) l (.f64 (.f64 (log.f64 l) l) #s(literal 2/3 binary64)))) w))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
l
(+ l (* w (+ l (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l l) w l)
(+ l (* w (+ l (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l l) w l)
(+ l (* w (+ l (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l l) w l)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(* w (+ l (* l (log l))))
(*.f64 (fma.f64 (log.f64 l) l l) w)
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 l (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))))))))))))))
(fma.f64 (fma.f64 (fma.f64 l (fma.f64 #s(literal -1 binary64) (log.f64 l) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) w) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (log.f64 l) l l)) (log.f64 l)) (.f64 (fma.f64 #s(literal -1/6 binary64) l (fma.f64 (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64))) l (.f64 (.f64 (log.f64 l) l) #s(literal 2/3 binary64)))) w))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
l
(+ l (* l (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))
(.f64 (fma.f64 (.f64 w (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64))) (log.f64 l) #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))
(fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 l) (*.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64)))) w)) w (log.f64 l))) w l)
l
(+ l (* w (+ (* -1 l) (* l (log l)))))
(fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))))
(fma.f64 (fma.f64 (*.f64 l (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
(+ l (* w (+ (* -1 l) (+ (* l (log l)) (* w (+ (* -1 (* l (log l))) (+ (* 1/2 l) (+ (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))) (* w (+ (* -1 (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))) (+ (* -1/6 l) (+ (* 1/2 (* l (log l))) (* l (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))))))))))))))
(fma.f64 (fma.f64 (fma.f64 l (fma.f64 #s(literal -1 binary64) (log.f64 l) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) w) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (log.f64 l) l l)) (log.f64 l)) (.f64 (fma.f64 #s(literal -1/6 binary64) l (fma.f64 (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64))) l (.f64 (.f64 (log.f64 l) l) #s(literal 2/3 binary64)))) w))) w (fma.f64 (log.f64 l) l (neg.f64 l))) w l)
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* w (+ 1/2 (* -1/6 w))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 w))
(-.f64 #s(literal 1 binary64) w)
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (- (* 1/2 w) 1)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* 1/2 w) 1)
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
(- (* 1/2 w) 1)
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
(- (* 1/2 w) 1)
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
l
(+ l (* l (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))
(.f64 (fma.f64 (.f64 w (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64))) (log.f64 l) #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))
(fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 l) (*.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64)))) w)) w (log.f64 l))) w l)
1
#s(literal 1 binary64)
(+ 1 w)
(+.f64 #s(literal 1 binary64) w)
(+ 1 (* w (+ 1 (* 1/2 w))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64))
(+ 1 (* w (+ 1 (* w (+ 1/2 (* 1/6 w))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 w))
(fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 w))
(fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 w))
(fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64))
l
(+ l (* l (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2))))))))
(.f64 (fma.f64 (.f64 w (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64))) (log.f64 l) #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* w (+ (* l (* w (+ (* 1/6 (log l)) (+ (* 1/6 (pow (log l) 3)) (* 1/2 (pow (log l) 2)))))) (* l (+ (* 1/2 (log l)) (* 1/2 (pow (log l) 2)))))))))
(fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 l) (*.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64)))) w)) w (log.f64 l))) w l)
l
(+ l (* l (* w (log l))))
(*.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)
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(.f64 (fma.f64 (.f64 w (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64))) (log.f64 l) #s(literal 1 binary64)) l)
(+ l (* w (+ (* l (log l)) (* l (* w (* (log l) (+ 1/2 (* 1/2 (log l)))))))))
(.f64 (fma.f64 (.f64 w (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64))) (log.f64 l) #s(literal 1 binary64)) l)
(log l)
(log.f64 l)
(+ (log l) (* w (* (log l) (+ 1/2 (* 1/2 (log l))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) (log.f64 l))
(+ (log l) (* w (* (log l) (+ 1/2 (* 1/2 (log l))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) (log.f64 l))
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(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) (log.f64 l))
(/ (pow l (exp w)) (exp w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/ (pow l (exp w)) (exp w))
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(/ (pow l (exp w)) (exp w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/ (pow l (exp w)) (exp w))
(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
(/ 1 (exp w))
(exp.f64 (neg.f64 w))
(/ 1 (exp w))
(exp.f64 (neg.f64 w))
(/ 1 (exp w))
(exp.f64 (neg.f64 w))
(/ 1 (exp w))
(exp.f64 (neg.f64 w))
(pow (/ 1 (exp w)) 1/4)
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rewrite191.0ms (1.1%)

Memory

3.2MiB live, 255.3MiB allocated

Rules

5 202×	`lower-fma.f32`
5 184×	`lower-fma.f64`
4 054×	`lower-*.f32`
4 042×	`lower-*.f64`
3 974×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	273
0	85	261
1	298	252
2	1909	252
0	8275	250

Stop Event

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

Counts

23 → 410

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l))
(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 w) #s(literal -1/4 binary64))
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
#s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w))
(*.f64 (fma.f64 (log.f64 l) l l) w)
(fma.f64 (log.f64 l) l l)
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
#s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))
(-.f64 #s(literal 1 binary64) w)
(pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64))))
(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
#s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))
#s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))
(fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64))
#s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l))
(.f64 (fma.f64 (.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)
(*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l))

Outputs
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eval106.0ms (0.6%)

Memory: -0.1MiB live, 194.9MiB allocated
Compiler: Compiled 18 615 to 2 191 computations (88.2% saved)

prune86.0ms (0.5%)

Memory

-5.0MiB live, 77.5MiB allocated

Pruning

33 alts after pruning (26 fresh and 7 done)

	Pruned	Kept	Total
New	788	9	797
Fresh	4	17	21
Picked	1	4	5
Done	0	3	3
Total	793	33	826

Accuracy

100.0%

Counts

826 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.2%	(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
	74.3%	(.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) #s(approx (pow (/ -1 (/ -1 l)) (exp w)) (fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 l) (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64)))) w)) w (log.f64 l))) w l))))
	91.7%	(.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) #s(approx (pow (/ -1 (/ -1 l)) (exp w)) (.f64 (fma.f64 (*.f64 w (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64))) (log.f64 l) #s(literal 1 binary64)) l))))
	84.9%	(*.f64 (pow.f64 #s(approx (pow (exp w) -1/4) (fma.f64 (fma.f64 #s(literal 1/32 binary64) w #s(literal -1/4 binary64)) w #s(literal 1 binary64))) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	80.0%	(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
	84.3%	(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	92.5%	(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) #s(approx (pow (exp w) -1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) w #s(literal -1/2 binary64)) w #s(literal 1 binary64)))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	82.4%	(*.f64 #s(approx (pow (pow (exp w) -1/4) 4) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
	74.4%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	76.0%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	81.2%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	75.2%	(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
✓	82.0%	(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
	66.3%	(.f64 #s(approx (exp (neg w)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) w)) (.f64 (+.f64 #s(literal 1 binary64) w) (.f64 w w))) (*.f64 (+.f64 #s(literal 1 binary64) w) (+.f64 #s(literal 1 binary64) w)))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
✓	81.3%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	86.6%	(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 w) 1/2) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	81.1%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
	67.2%	(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))))
	67.1%	(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (log.f64 l) #s(literal 1/6 binary64))) w)) w (log.f64 l))) w l)))
	81.6%	(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
	80.7%	(*.f64 #s(approx (exp (neg w)) #s(approx (- 1 w) #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
	42.8%	(exp.f64 (neg.f64 w))
	65.8%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (+.f64 (log.f64 l) #s(literal -1 binary64)) l (.f64 (fma.f64 (fma.f64 l #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) l) (+.f64 (pow.f64 (log.f64 l) #s(literal 3 binary64)) (log.f64 l)) #s(literal 0 binary64))) w (*.f64 l (fma.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (log.f64 l))))) w)) w l))
✓	58.9%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
	58.2%	#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l l) w l))
✓	58.2%	#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
	59.6%	#s(approx (* (exp (neg w)) (pow l (exp w))) (*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l))
✓	3.5%	#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
	23.2%	#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
	18.5%	#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
	5.2%	#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
✓	4.6%	#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
✓	13.2%	#s(literal 0 binary64)

Compiler

Compiled 1 484 to 624 computations (58% saved)

regimes54.0ms (0.3%)

Memory

13.1MiB live, 51.2MiB allocated

Counts

53 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(exp.f64 (neg.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))))
#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l l) w l))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
#s(approx (* (exp (neg w)) (pow l (exp w))) (*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l))
#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 w) 1/2) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) #s(approx (- 1 w) #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(.f64 #s(approx (exp (neg w)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) w)) (.f64 (+.f64 #s(literal 1 binary64) w) (.f64 w w))) (*.f64 (+.f64 #s(literal 1 binary64) w) (+.f64 #s(literal 1 binary64) w)))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) #s(literal 1 binary64)) (pow.f64 l (exp.f64 w)))
(*.f64 #s(approx (exp (neg w)) #s(approx (- 1 w) #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w)))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(.f64 #s(approx ( (pow (exp w) -1/2) (pow (exp w) -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(*.f64 #s(approx (pow (pow (exp w) -1/4) 4) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(.f64 #s(approx (exp (neg w)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) w)) (.f64 (+.f64 #s(literal 1 binary64) w) (.f64 w w))) (*.f64 (+.f64 #s(literal 1 binary64) w) (+.f64 #s(literal 1 binary64) w)))) (pow.f64 l (exp.f64 w)))
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(*.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (fma.f64 (*.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) w (log.f64 l)) w #s(literal 1 binary64)) l)))
(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) w) (+.f64 (log.f64 l) #s(literal 1 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
(*.f64 (pow.f64 #s(approx (pow (exp w) -1/4) (fma.f64 (fma.f64 #s(literal 1/32 binary64) w #s(literal -1/4 binary64)) w #s(literal 1 binary64))) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (pow.f64 (pow.f64 l (.f64 #s(literal 1/2 binary64) (exp.f64 w))) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) #s(approx (pow (exp w) -1/2) (fma.f64 (fma.f64 #s(literal 1/8 binary64) w #s(literal -1/2 binary64)) w #s(literal 1 binary64)))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) #s(approx (pow (/ -1 (/ -1 l)) (exp w)) (.f64 (fma.f64 (*.f64 w (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) w #s(literal 1 binary64))) (log.f64 l) #s(literal 1 binary64)) l))))
(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64))) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(.f64 (.f64 (pow.f64 (exp.f64 w) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 w) #s(literal -1/2 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) (pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 l) (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64)))) w (.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) w (log.f64 l))) w l)))
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 (log.f64 l) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (.f64 (log.f64 l) #s(literal 1/6 binary64))) w)) w (log.f64 l))) w l)))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (+.f64 (log.f64 l) #s(literal -1 binary64)) l (.f64 (fma.f64 (fma.f64 l #s(literal -1/6 binary64) (fma.f64 (.f64 #s(literal 1/6 binary64) l) (+.f64 (pow.f64 (log.f64 l) #s(literal 3 binary64)) (log.f64 l)) #s(literal 0 binary64))) w (*.f64 l (fma.f64 (log.f64 l) (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (log.f64 l))))) w)) w l))
(.f64 (pow.f64 (pow.f64 (exp.f64 w) #s(literal -1/4 binary64)) #s(literal 4 binary64)) #s(approx (pow l (exp w)) #s(approx (pow (/ -1 (/ -1 l)) (exp w)) (fma.f64 (.f64 l (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 l) #s(literal 1/2 binary64)) (log.f64 l) (.f64 (fma.f64 #s(literal 1/6 binary64) (log.f64 l) (.f64 (pow.f64 (log.f64 l) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (log.f64 l) #s(literal 1/2 binary64)))) w)) w (log.f64 l))) w l))))

Outputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Calls

3 calls:

22.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
15.0ms	l
15.0ms	w

Results

Accuracy	Segments	Branch
99.6%	1	`w`
99.6%	1	`l`
99.6%	1	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes43.0ms (0.3%)

Memory

-0.1MiB live, 38.2MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(exp.f64 (neg.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))))
#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l l) w l))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
#s(approx (* (exp (neg w)) (pow l (exp w))) (*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l))
#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(approx (+ ( 1/6 w) 1/2) #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) #s(approx (- 1 w) #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(.f64 #s(approx (exp (neg w)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) w)) (.f64 (+.f64 #s(literal 1 binary64) w) (.f64 w w))) (*.f64 (+.f64 #s(literal 1 binary64) w) (+.f64 #s(literal 1 binary64) w)))) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))
(*.f64 #s(approx (exp (neg w)) #s(literal 1 binary64)) (pow.f64 l (exp.f64 w)))
(*.f64 #s(approx (exp (neg w)) #s(approx (- 1 w) #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l (exp.f64 w)))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
(.f64 (exp.f64 (neg.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) (pow.f64 l (exp.f64 w)))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (log.f64 l) w #s(literal 1 binary64)) l)))
(.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
(.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (.f64 (fma.f64 (*.f64 (fma.f64 w (fma.f64 (log.f64 l) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (log.f64 l)) w #s(literal 1 binary64)) l)))
(*.f64 #s(approx (exp (neg w)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(.f64 #s(approx ( (pow (exp w) -1/2) (pow (exp w) -1/2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(*.f64 #s(approx (pow (pow (exp w) -1/4) 4) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))) #s(approx (pow l (exp w)) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) l)) (exp.f64 w))))
(.f64 #s(approx (exp (neg w)) (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) w)) (.f64 (+.f64 #s(literal 1 binary64) w) (.f64 w w))) (*.f64 (+.f64 #s(literal 1 binary64) w) (+.f64 #s(literal 1 binary64) w)))) (pow.f64 l (exp.f64 w)))

Outputs

(exp.f64 (neg.f64 w))

(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))))

Calls

3 calls:

20.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
11.0ms	l
11.0ms	w

Results

Accuracy	Segments	Branch
98.9%	2	`w`
98.4%	2	`l`
97.8%	2	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0%)

Memory

-30.7MiB live, 7.7MiB allocated

Counts

14 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(exp.f64 (neg.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))))
#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l l) w l))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))
#s(approx (* (exp (neg w)) (pow l (exp w))) (*.f64 (fma.f64 (-.f64 (log.f64 l) #s(literal 1 binary64)) w #s(literal 1 binary64)) l))
#s(approx (* (exp (neg w)) (pow l (exp w))) (+.f64 (*.f64 (fma.f64 (log.f64 l) l l) w) l))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l (neg.f64 l)) w l))

Outputs
(exp.f64 (neg.f64 w))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64)))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
98.7%	2	`w`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes12.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(exp.f64 (neg.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))))
#s(approx (* (exp (neg w)) (pow l (exp w))) #s(approx (+ (* (+ (* (log l) l) l) w) l) (*.f64 (fma.f64 (log.f64 l) l l) w)))
#s(approx (* (exp (neg w)) (pow l (exp w))) (fma.f64 (fma.f64 (log.f64 l) l l) w l))

Outputs
(exp.f64 (neg.f64 w))
(*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))))
#s(literal 0 binary64)

Calls

3 calls:

4.0ms	l
4.0ms	w
4.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Results

Accuracy	Segments	Branch
96.4%	3	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`
69.0%	2	`l`
97.5%	3	`w`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes10.0ms (0.1%)

Memory

12.7MiB live, 12.7MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
(exp.f64 (neg.f64 w))
(*.f64 (exp.f64 (neg.f64 w)) #s(literal 1 binary64))

Outputs
(exp.f64 (neg.f64 w))

Calls

3 calls:

3.0ms	l
3.0ms	w
3.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Results

Accuracy	Segments	Branch
42.8%	1	`l`
42.8%	1	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`
42.8%	1	`w`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes43.0ms (0.3%)

Memory

-31.0MiB live, 11.5MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))

Outputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	w
2.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	l

Results

Accuracy	Segments	Branch
26.6%	2	`l`
34.0%	2	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`
33.6%	2	`w`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes16.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))

Outputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64)))

Calls

2 calls:

14.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	w

Results

Accuracy	Segments	Branch
28.8%	2	`w`
29.2%	2	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0%)

Memory

9.1MiB live, 9.1MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))

Outputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w))

Calls

3 calls:

2.0ms	w
2.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	l

Results

Accuracy	Segments	Branch
15.0%	2	`l`
15.5%	2	`w`
15.9%	2	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))

Outputs
#s(literal 0 binary64)
#s(approx (* (exp (neg w)) 1) #s(literal 1 binary64))

Calls

2 calls:

2.0ms	w
2.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Results

Accuracy	Segments	Branch
14.9%	2	`w`
15.3%	2	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0%)

Memory

7.1MiB live, 7.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

3 calls:

1.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
1.0ms	w
1.0ms	l

Results

Accuracy	Segments	Branch
13.2%	1	`w`
13.2%	1	`l`
13.2%	1	`(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch34.0ms (0.2%)

Memory

-21.5MiB live, 17.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	-85.52398174313326	-7.260098412708319e-5

Samples

26.0ms

144×

valid

Compiler

Compiled 173 to 165 computations (4.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-neg: 16.0ms (69.4% of total)

ival-exp: 3.0ms (13% of total)

ival-pow: 3.0ms (13% of total)

ival-mult: 1.0ms (4.3% of total)

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

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

bsearch11.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-85.52398174313326	-7.260098412708319e-5

Samples

6.0ms

80×

valid

Compiler

Compiled 137 to 147 computations (-7.3% saved)

Precisions

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

ival-exp: 2.0ms (46.9% of total)

ival-pow: 2.0ms (46.9% of total)

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

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

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

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

bsearch55.0ms (0.3%)

Memory

-13.5MiB live, 24.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
45.0ms	3.25945503634845e-5	4.715725117922838
8.0ms	-85.52398174313326	-7.260098412708319e-5

Samples

45.0ms

208×

valid

Compiler

Compiled 209 to 255 computations (-22% saved)

Precisions

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

ival-exp: 33.0ms (81.7% of total)

ival-pow: 5.0ms (12.4% of total)

ival-mult: 1.0ms (2.5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.5594543099565474e-164	2.0942826786556683e-154

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.5594543099565474e-164	2.0942826786556683e-154

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.5594543099565474e-164	2.0942826786556683e-154

Compiler

Compiled 11 to 12 computations (-9.1% saved)

bsearch8.0ms (0%)

Memory

8.3MiB live, 8.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	6.5594543099565474e-164	2.0942826786556683e-154

Samples

3.0ms

144×

valid

Compiler

Compiled 38 to 93 computations (-144.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify36.0ms (0.2%)

Memory

-5.3MiB live, 33.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10×	`-commutative-binary64-.f64`
6×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`1-exp-binary32-exp.f32`
2×	`1-exp-binary64-exp.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	181
1	68	181
2	71	181
3	72	181

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(if (<=.f64 w #s(literal -5854679515581645/4503599627370496 binary64)) (exp.f64 (neg.f64 w)) (*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64))))))
(if (<=.f64 w #s(literal -1 binary64)) (exp.f64 (neg.f64 w)) (*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64))))))
(if (<=.f64 w #s(literal -3152519739159347/4503599627370496 binary64)) (exp.f64 (neg.f64 w)) (if (<=.f64 w #s(literal 1062849512059437/9007199254740992 binary64)) (*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(exp.f64 (neg.f64 w))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w)))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #s(literal 1736022715417909/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) #s(literal 1 binary64)))
#s(literal 0 binary64)

Outputs
(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
(*.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w)))
(if (<=.f64 w #s(literal -5854679515581645/4503599627370496 binary64)) (exp.f64 (neg.f64 w)) (*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64))))))
(if (<=.f64 w #s(literal -5854679515581645/4503599627370496 binary64)) (exp.f64 (neg.f64 w)) (*.f64 (pow.f64 l #s(approx (exp w) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal 1 binary64)) w #s(literal 1 binary64)))) #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))))
(if (<=.f64 w #s(literal -1 binary64)) (exp.f64 (neg.f64 w)) (*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) (+.f64 w #s(literal 1 binary64))))))
(if (<=.f64 w #s(literal -1 binary64)) (exp.f64 (neg.f64 w)) (*.f64 (pow.f64 l #s(approx (exp w) (+.f64 #s(literal 1 binary64) w))) #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))))
(if (<=.f64 w #s(literal -3152519739159347/4503599627370496 binary64)) (exp.f64 (neg.f64 w)) (if (<=.f64 w #s(literal 1062849512059437/9007199254740992 binary64)) (*.f64 #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w)) (pow.f64 l #s(approx (exp w) #s(literal 1 binary64)))) #s(literal 0 binary64)))
(if (<=.f64 w #s(literal -3152519739159347/4503599627370496 binary64)) (exp.f64 (neg.f64 w)) (if (<=.f64 w #s(literal 1062849512059437/9007199254740992 binary64)) (*.f64 (pow.f64 l #s(approx (exp w) #s(literal 1 binary64))) #s(approx (exp (neg w)) (-.f64 #s(literal 1 binary64) w))) #s(literal 0 binary64)))
(exp.f64 (neg.f64 w))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) w #s(literal 1/2 binary64)) w #s(literal -1 binary64)) w #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))))
(if (<=.f64 (.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (fma.f64 (fma.f64 #s(literal 1/2 binary64) w #s(literal -1 binary64)) w #s(literal 1 binary64))))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w)))
(if (<=.f64 (.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w))) #s(literal 6483618076376551/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) (-.f64 #s(literal 1 binary64) w)))
(if (<=.f64 (.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w))) #s(literal 1736022715417909/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) #s(literal 1 binary64)))
(if (<=.f64 (.f64 (pow.f64 l (exp.f64 w)) (exp.f64 (neg.f64 w))) #s(literal 1736022715417909/15095849699286165408966218323953075563667684881665761713504825200982496649568595408344506900710635070165873500123055379599082338519699170530245737005730784174597581307904 binary64)) #s(literal 0 binary64) #s(approx ( (exp (neg w)) 1) #s(literal 1 binary64)))
#s(literal 0 binary64)

soundness2.2s (12.7%)

Memory

27.8MiB live, 864.6MiB allocated

Rules

26 728×	`lower-fma.f64`
26 728×	`lower-fma.f32`
17 390×	`lower-fma.f64`
17 390×	`lower-fma.f32`
16 262×	`lower-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	266	4168
1	869	3955
2	3040	3782
0	8185	3467
0	41	243
0	74	229
1	247	216
2	1485	216
0	8114	214
0	108	618
1	337	595
2	1115	559
3	4421	536
4	6771	523
0	8290	493
0	7	19
0	12	15
1	26	15
2	88	15
3	471	5
4	7978	5
0	8045	5
0	164	2988
1	535	2873
2	1689	2725
3	5242	2625
0	8444	2459

Stop Event

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

Compiler

Compiled 359 to 219 computations (39% saved)

preprocess80.0ms (0.5%)

Memory: 8.5MiB live, 123.2MiB allocated
Compiler: Compiled 308 to 122 computations (60.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	44
1	47	44
2	110	41
3	197	41
4	275	41
5	312	41
6	345	41
7	378	41
8	388	41
0	7	8
0	12	8
1	19	8
2	29	7
3	35	7
4	40	7
5	46	7
6	53	7
7	59	7
8	60	7
0	60	7

Iter	Nodes	Cost
0	18	44
1	47	44
2	110	41
3	197	41
4	275	41
5	312	41
6	345	41
7	378	41
8	388	41
0	7	8
0	12	8
1	19	8
2	29	7
3	35	7
4	40	7
5	46	7
6	53	7
7	59	7
8	60	7
0	60	7

start0.0ms (0%)

analyze174.0ms (1%)

sample9.3s (54.6%)

explain98.0ms (0.6%)

preprocess100.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0%)

localize180.0ms (1.1%)

series142.0ms (0.8%)

simplify352.0ms (2.1%)

rewrite42.0ms (0.2%)

eval70.0ms (0.4%)

prune11.0ms (0.1%)

simplify70.0ms (0.4%)

localize102.0ms (0.6%)

series139.0ms (0.8%)

simplify303.0ms (1.8%)

rewrite281.0ms (1.6%)

eval173.0ms (1%)

prune108.0ms (0.6%)

simplify141.0ms (0.8%)

localize160.0ms (0.9%)

series139.0ms (0.8%)

simplify310.0ms (1.8%)

rewrite501.0ms (2.9%)

eval220.0ms (1.3%)

prune131.0ms (0.8%)

simplify255.0ms (1.5%)

localize174.0ms (1%)

series158.0ms (0.9%)

simplify227.0ms (1.3%)

rewrite191.0ms (1.1%)

eval106.0ms (0.6%)

prune86.0ms (0.5%)

regimes54.0ms (0.3%)

regimes43.0ms (0.3%)

regimes7.0ms (0%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes43.0ms (0.3%)

regimes16.0ms (0.1%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

bsearch34.0ms (0.2%)

bsearch11.0ms (0.1%)

bsearch55.0ms (0.3%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch8.0ms (0%)

simplify36.0ms (0.2%)

soundness2.2s (12.7%)

preprocess80.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	44
1	47	44
2	110	41
3	197	41
4	275	41
5	312	41
6	345	41
7	378	41
8	388	41
0	7	8
0	12	8
1	19	8
2	29	7
3	35	7
4	40	7
5	46	7
6	53	7
7	59	7
8	60	7
0	60	7