Metrics for Beckmann Distribution sample, tan2theta, alphax == alphay

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze60.0ms (2.3%)

Memory

1.7MiB live, 46.8MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.2%	99.8%	0%	0%	0%	0
0%	0%	0.2%	99.8%	0%	0%	0%	1
0%	0%	0.2%	99.8%	0%	0%	0%	2
0%	0%	0.2%	99.8%	0%	0%	0%	3
0%	0%	0.2%	99.8%	0%	0%	0%	4
37.5%	0.1%	0.1%	99.8%	0%	0%	0%	5
43.7%	0.1%	0.1%	99.8%	0%	0%	0%	6
65.6%	0.1%	0.1%	99.8%	0%	0%	0%	7
70.3%	0.1%	0%	99.8%	0%	0%	0%	8
82%	0.1%	0%	99.8%	0%	0%	0%	9
84.8%	0.1%	0%	99.8%	0%	0%	0%	10
90.8%	0.1%	0%	99.8%	0%	0%	0%	11
92.3%	0.2%	0%	99.8%	0%	0%	0%	12

Compiler

Compiled 25 to 18 computations (28% saved)

sample881.0ms (34.2%)

Memory

23.3MiB live, 911.1MiB allocated; 197ms collecting garbage

Samples

653.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 443.0ms

ival-mult: 149.0ms (33.7% of total)

ival-log: 144.0ms (32.5% of total)

ival-sub: 52.0ms (11.7% of total)

ival-neg: 45.0ms (10.2% of total)

const: 37.0ms (8.4% of total)

exact: 7.0ms (1.6% of total)

adjust: 3.0ms (0.7% of total)

ival-assert: 2.0ms (0.5% of total)

ival-<=: 2.0ms (0.5% of total)

ival-and: 1.0ms (0.2% of total)

Bogosity

explain90.0ms (3.5%)

Memory

15.9MiB live, 117.3MiB allocated; 7ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
191	8	(0.0009595235460437834 0.006227615289390087)	4	(0.06589572131633759 0.0114758824929595)	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
0	0	-	0	-	`u0`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(neg.f32 alpha)`
0	0	-	0	-	`(*.f32 (neg.f32 alpha) alpha)`
0	0	-	0	-	`alpha`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u0)`
0	0	-	0	-	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`log.f32`	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`	sensitivity	195	15

Confusion

	Predicted +	Predicted -
+	186	3
-	9	58

Precision

0.9538461538461539

Recall

0.9841269841269841

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	186	3	0
-	9	12	46

Precision?

0.9

Recall?

1.0

Freqs

test

number	freq
0	61
1	195

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

39.0ms

512×

valid

Compiler

Compiled 63 to 28 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-log: 8.0ms (36.2% of total)

ival-mult: 7.0ms (31.7% of total)

ival-sub: 3.0ms (13.6% of total)

ival-neg: 3.0ms (13.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess193.0ms (7.5%)

Memory

19.7MiB live, 157.4MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	58
1	56	54
2	122	54
3	220	52
4	411	52
5	757	52
6	4020	52
0	8	9
0	13	9
1	21	9
2	40	9
3	78	9
4	170	9
5	412	9
6	2250	9
7	5538	9
0	8681	8

Stop Event

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

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))

Outputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 (neg.f32 alpha) alpha))

Symmetry

(abs alpha)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.7%	(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))

Compiler

Compiled 9 to 8 computations (11.1% saved)

series73.0ms (2.8%)

Memory

-29.0MiB live, 63.2MiB allocated; 25ms collecting garbage

Counts

8 → 34

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
alpha
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
u0

Outputs
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* -1 (* (pow alpha 2) (log (- 1 u0))))))
#s(approx (* (neg alpha) alpha) #s(hole binary32 (* -1 (pow alpha 2))))
#s(approx (neg alpha) #s(hole binary32 (* -1 alpha)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* (pow alpha 2) u0)))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))))
#s(approx (log (- 1 u0)) #s(hole binary32 (* -1 u0)))
#s(approx (log (- 1 u0)) #s(hole binary32 (* u0 (- (* -1/2 u0) 1))))
#s(approx (log (- 1 u0)) #s(hole binary32 (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))
#s(approx (log (- 1 u0)) #s(hole binary32 (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
#s(approx (- 1 u0) #s(hole binary32 1))
#s(approx (- 1 u0) #s(hole binary32 (+ 1 (* -1 u0))))
#s(approx u0 #s(hole binary32 u0))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))))
#s(approx (log (- 1 u0)) #s(hole binary32 (+ (log -1) (* -1 (log (/ 1 u0))))))
#s(approx (log (- 1 u0)) #s(hole binary32 (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))))
#s(approx (log (- 1 u0)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))))
#s(approx (log (- 1 u0)) #s(hole binary32 (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))))
#s(approx (- 1 u0) #s(hole binary32 (* -1 u0)))
#s(approx (- 1 u0) #s(hole binary32 (* u0 (- (/ 1 u0) 1))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* (pow alpha 2) (log (/ -1 u0)))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (log (- 1 u0)) #s(hole binary32 (* -1 (log (/ -1 u0)))))
#s(approx (log (- 1 u0)) #s(hole binary32 (- (* -1 (log (/ -1 u0))) (/ 1 u0))))
#s(approx (log (- 1 u0)) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))))
#s(approx (log (- 1 u0)) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))))
#s(approx (- 1 u0) #s(hole binary32 (* -1 (* u0 (- 1 (/ 1 u0))))))

Calls

6 calls:

Time	Variable		Point	Expression
48.0ms	alpha	@	0	((* (* (neg alpha) alpha) (log (- 1 u0))) (* (neg alpha) alpha) (neg alpha) alpha (log (- 1 u0)) (- 1 u0) 1 u0)
14.0ms	alpha	@	-inf	((* (* (neg alpha) alpha) (log (- 1 u0))) (* (neg alpha) alpha) (neg alpha) alpha (log (- 1 u0)) (- 1 u0) 1 u0)
7.0ms	alpha	@	inf	((* (* (neg alpha) alpha) (log (- 1 u0))) (* (neg alpha) alpha) (neg alpha) alpha (log (- 1 u0)) (- 1 u0) 1 u0)
1.0ms	u0	@	-inf	((* (* (neg alpha) alpha) (log (- 1 u0))) (* (neg alpha) alpha) (neg alpha) alpha (log (- 1 u0)) (- 1 u0) 1 u0)
1.0ms	u0	@	inf	((* (* (neg alpha) alpha) (log (- 1 u0))) (* (neg alpha) alpha) (neg alpha) alpha (log (- 1 u0)) (- 1 u0) 1 u0)

rewrite160.0ms (6.2%)

Memory

43.5MiB live, 129.5MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	160	716
0	166	676
1	897	622
0	8491	574

Stop Event

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

Counts

42 → 91

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
alpha
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
u0
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* -1 (* (pow alpha 2) (log (- 1 u0))))))
#s(approx (* (neg alpha) alpha) #s(hole binary32 (* -1 (pow alpha 2))))
#s(approx (neg alpha) #s(hole binary32 (* -1 alpha)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* (pow alpha 2) u0)))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))))
#s(approx (log (- 1 u0)) #s(hole binary32 (* -1 u0)))
#s(approx (log (- 1 u0)) #s(hole binary32 (* u0 (- (* -1/2 u0) 1))))
#s(approx (log (- 1 u0)) #s(hole binary32 (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))
#s(approx (log (- 1 u0)) #s(hole binary32 (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
#s(approx (- 1 u0) #s(hole binary32 1))
#s(approx (- 1 u0) #s(hole binary32 (+ 1 (* -1 u0))))
#s(approx u0 #s(hole binary32 u0))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))))
#s(approx (log (- 1 u0)) #s(hole binary32 (+ (log -1) (* -1 (log (/ 1 u0))))))
#s(approx (log (- 1 u0)) #s(hole binary32 (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))))
#s(approx (log (- 1 u0)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))))
#s(approx (log (- 1 u0)) #s(hole binary32 (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))))
#s(approx (- 1 u0) #s(hole binary32 (* -1 u0)))
#s(approx (- 1 u0) #s(hole binary32 (* u0 (- (/ 1 u0) 1))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (* (pow alpha 2) (log (/ -1 u0)))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (log (- 1 u0)) #s(hole binary32 (* -1 (log (/ -1 u0)))))
#s(approx (log (- 1 u0)) #s(hole binary32 (- (* -1 (log (/ -1 u0))) (/ 1 u0))))
#s(approx (log (- 1 u0)) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))))
#s(approx (log (- 1 u0)) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))))
#s(approx (- 1 u0) #s(hole binary32 (* -1 (* u0 (- 1 (/ 1 u0))))))

Outputs
(log.f32 (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) alpha) (neg.f32 alpha)))
(.f32 (.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u0))) (*.f32 alpha alpha))
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)) (*.f32 alpha alpha))
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) alpha) (neg.f32 alpha))
(.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (.f32 alpha alpha))
(.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0)))
(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
(.f32 (.f32 alpha alpha) (*.f32 #s(literal -1 binary32) (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 alpha alpha) (*.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)))
(.f32 (.f32 alpha alpha) (neg.f32 (log1p.f32 (neg.f32 u0))))
(.f32 #s(literal -1 binary32) (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 (neg.f32 alpha) alpha))
(.f32 (neg.f32 alpha) (.f32 alpha (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(.f32 alpha (.f32 #s(literal -1 binary32) (*.f32 alpha (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal 1 binary32)))
(neg.f32 (.f32 #s(literal 1 binary32) (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))))
(neg.f32 (.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(.f32 (.f32 alpha alpha) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 alpha alpha))
(*.f32 (neg.f32 alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg.f32 (.f32 (.f32 alpha alpha) #s(literal 1 binary32)))
(neg.f32 (*.f32 alpha alpha))
(*.f32 #s(literal -1 binary32) alpha)
(*.f32 alpha #s(literal -1 binary32))
(neg.f32 (*.f32 alpha #s(literal 1 binary32)))
(neg.f32 (*.f32 #s(literal 1 binary32) alpha))
(neg.f32 alpha)
alpha
(log.f32 (-.f32 #s(literal 1 binary32) u0))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))
(-.f32 (log1p.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u0 u0 u0)))
(log1p.f32 (neg.f32 u0))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u0))
(/.f32 (-.f32 (*.f32 u0 u0) #s(literal 1 binary32)) (-.f32 (neg.f32 u0) #s(literal 1 binary32)))
(/.f32 (fma.f32 (pow.f32 u0 #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 u0 u0 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u0) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0))) (neg.f32 (+.f32 #s(literal 1 binary32) u0)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) u0))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 u0 u0) (+.f32 #s(literal 1 binary32) u0)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) (/.f32 (pow.f32 u0 #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))
(-.f32 (neg.f32 u0) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u0) #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) u0)
(fma.f32 #s(literal -1 binary32) u0 #s(literal 1 binary32))
(fma.f32 u0 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u0) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))) (/.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u0 u0 u0))))
(+.f32 (neg.f32 u0) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 u0))
(neg.f32 (+.f32 u0 #s(literal -1 binary32)))
(neg.f32 (+.f32 #s(literal -1 binary32) u0))
#s(literal 1 binary32)
u0
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (.f32 (neg.f32 alpha) alpha) (log1p.f32 (neg.f32 u0))))
#s(approx (* (neg alpha) alpha) (*.f32 (neg.f32 alpha) alpha))
#s(approx (neg alpha) (neg.f32 alpha))
#s(approx alpha alpha)
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (.f32 alpha alpha) u0))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 alpha alpha)) u0))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
#s(approx (log (- 1 u0)) (neg.f32 u0))
#s(approx (log (- 1 u0)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u0 #s(literal -1 binary32)) u0))
#s(approx (log (- 1 u0)) (*.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32)) u0))
#s(approx (log (- 1 u0)) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) u0 #s(literal -1/3 binary32)) u0 #s(literal -1/2 binary32)) u0 #s(literal -1 binary32)) u0))
#s(approx (- 1 u0) #s(literal 1 binary32))
#s(approx (- 1 u0) (-.f32 #s(literal 1 binary32) u0))
#s(approx u0 u0)
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (log.f32 (neg.f32 u0)) (.f32 (neg.f32 alpha) alpha)))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (-.f32 (/.f32 (.f32 alpha alpha) u0) (.f32 (log.f32 (neg.f32 u0)) (*.f32 alpha alpha))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (-.f32 (fma.f32 (/.f32 (/.f32 (.f32 alpha alpha) u0) u0) #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0)) (.f32 (log.f32 (neg.f32 u0)) (.f32 alpha alpha))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (-.f32 (fma.f32 (/.f32 (.f32 alpha alpha) (pow.f32 u0 #s(literal 3 binary32))) #s(literal 1/3 binary32) (fma.f32 (/.f32 (/.f32 (.f32 alpha alpha) u0) u0) #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0))) (.f32 (log.f32 (neg.f32 u0)) (*.f32 alpha alpha))))
#s(approx (log (- 1 u0)) (log.f32 (neg.f32 u0)))
#s(approx (log (- 1 u0)) (-.f32 (log.f32 (neg.f32 u0)) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (log (- 1 u0)) (-.f32 (log.f32 (neg.f32 u0)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal -1 binary32)) u0)))
#s(approx (log (- 1 u0)) (-.f32 (-.f32 (log.f32 (neg.f32 u0)) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u0) #s(literal -1/2 binary32)) u0) u0)) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (- 1 u0) (neg.f32 u0))
#s(approx (- 1 u0) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) u0))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (log.f32 (neg.f32 u0)) (.f32 (neg.f32 alpha) alpha)))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (-.f32 (/.f32 (.f32 alpha alpha) u0) (.f32 (log.f32 (neg.f32 u0)) (*.f32 alpha alpha))))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0) (*.f32 alpha alpha)) u0)))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha) (/.f32 (fma.f32 alpha alpha (/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal 1/3 binary32) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0)) u0)))
#s(approx (log (- 1 u0)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))))
#s(approx (log (- 1 u0)) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (log (- 1 u0)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) u0) #s(literal -1 binary32)) u0)))
#s(approx (log (- 1 u0)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32) (+.f32 (/.f32 #s(literal -1 binary32) u0) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/3 binary32) u0) #s(literal -1/2 binary32)) u0) u0))))
#s(approx (- 1 u0) (*.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u0))))

eval20.0ms (0.8%)

Memory: -45.6MiB live, 17.4MiB allocated; 20ms collecting garbage
Compiler: Compiled 1 310 to 309 computations (76.4% saved)

prune14.0ms (0.5%)

Memory

24.7MiB live, 24.7MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Accuracy

99.8%

Counts

92 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
	98.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u0 u0 u0))))
	98.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))
	98.9%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
	92.5%	#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
	90.2%	#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))

Compiler

Compiled 222 to 148 computations (33.3% saved)

series36.0ms (1.4%)

Memory

-26.9MiB live, 64.0MiB allocated; 16ms collecting garbage

Counts

8 → 42

Calls

Call 1

Inputs
(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
(.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))
(*.f32 alpha alpha)
alpha
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
#s(literal -1 binary32)

Outputs
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* -1 (* (pow alpha 2) (log (- 1 u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* (pow alpha 2) (log (- 1 u0)))))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* (pow alpha 2) u0)))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) u0))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* u0 (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* u0 (+ (* -1 (pow alpha 2)) (* u0 (+ (* -1/2 (pow alpha 2)) (* -1/3 (* (pow alpha 2) u0))))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* u0 (+ (* -1 (pow alpha 2)) (* u0 (+ (* -1/2 (pow alpha 2)) (* u0 (+ (* -1/3 (pow alpha 2)) (* -1/4 (* (pow alpha 2) u0))))))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* -1 u0)))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* -1/2 u0) 1))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
#s(approx (neg u0) #s(hole binary32 (* -1 u0)))
#s(approx u0 #s(hole binary32 u0))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (/ (pow alpha 2) u0)) (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (/ (pow alpha 2) u0)) (+ (* -1/2 (/ (pow alpha 2) (pow u0 2))) (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (/ (pow alpha 2) u0)) (+ (* -1/2 (/ (pow alpha 2) (pow u0 2))) (+ (* -1/3 (/ (pow alpha 2) (pow u0 3))) (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (log -1) (* -1 (log (/ 1 u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* (pow alpha 2) (log (/ -1 u0)))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (log (/ -1 u0)))) (* -1 (/ (pow alpha 2) u0)))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (log (/ -1 u0)))) (* -1 (/ (+ (* 1/2 (/ (pow alpha 2) u0)) (pow alpha 2)) u0)))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (log (/ -1 u0)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow alpha 2)) (* -1/3 (/ (pow alpha 2) u0))) u0)) (pow alpha 2)) u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* -1 (log (/ -1 u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (* -1 (log (/ -1 u0))) (/ 1 u0))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))))

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	alpha	@	0	((* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (* (* alpha alpha) (log (+ 1 (neg u0)))) (* alpha alpha) alpha (log (+ 1 (neg u0))) (neg u0) u0 -1)
8.0ms	alpha	@	-inf	((* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (* (* alpha alpha) (log (+ 1 (neg u0)))) (* alpha alpha) alpha (log (+ 1 (neg u0))) (neg u0) u0 -1)
7.0ms	alpha	@	inf	((* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (* (* alpha alpha) (log (+ 1 (neg u0)))) (* alpha alpha) alpha (log (+ 1 (neg u0))) (neg u0) u0 -1)
4.0ms	u0	@	inf	((* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (* (* alpha alpha) (log (+ 1 (neg u0)))) (* alpha alpha) alpha (log (+ 1 (neg u0))) (neg u0) u0 -1)
1.0ms	u0	@	-inf	((* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (* (* alpha alpha) (log (+ 1 (neg u0)))) (* alpha alpha) alpha (log (+ 1 (neg u0))) (neg u0) u0 -1)

rewrite200.0ms (7.8%)

Memory

24.3MiB live, 263.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1042
0	212	975
1	1245	923
0	8702	892

Stop Event

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

Counts

50 → 75

Calls

Call 1

Inputs
(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
(.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))
(*.f32 alpha alpha)
alpha
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
#s(literal -1 binary32)
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* -1 (* (pow alpha 2) (log (- 1 u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* (pow alpha 2) (log (- 1 u0)))))
#s(approx (* alpha alpha) #s(hole binary32 (pow alpha 2)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* (pow alpha 2) u0)))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) u0))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* u0 (+ (* -1 (pow alpha 2)) (* -1/2 (* (pow alpha 2) u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* u0 (+ (* -1 (pow alpha 2)) (* u0 (+ (* -1/2 (pow alpha 2)) (* -1/3 (* (pow alpha 2) u0))))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* u0 (+ (* -1 (pow alpha 2)) (* u0 (+ (* -1/2 (pow alpha 2)) (* u0 (+ (* -1/3 (pow alpha 2)) (* -1/4 (* (pow alpha 2) u0))))))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* -1 u0)))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* -1/2 u0) 1))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
#s(approx (neg u0) #s(hole binary32 (* -1 u0)))
#s(approx u0 #s(hole binary32 u0))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (/ (pow alpha 2) u0)) (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (/ (pow alpha 2) u0)) (+ (* -1/2 (/ (pow alpha 2) (pow u0 2))) (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (/ (pow alpha 2) u0)) (+ (* -1/2 (/ (pow alpha 2) (pow u0 2))) (+ (* -1/3 (/ (pow alpha 2) (pow u0 3))) (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (log -1) (* -1 (log (/ 1 u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (* (pow alpha 2) (log (/ -1 u0)))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (log (/ -1 u0)))) (* -1 (/ (pow alpha 2) u0)))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (log (/ -1 u0)))) (* -1 (/ (+ (* 1/2 (/ (pow alpha 2) u0)) (pow alpha 2)) u0)))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (log (/ -1 u0)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow alpha 2)) (* -1/3 (/ (pow alpha 2) u0))) u0)) (pow alpha 2)) u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* -1 (log (/ -1 u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (* -1 (log (/ -1 u0))) (/ 1 u0))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))))

Outputs
(log.f32 (pow.f32 (pow.f32 (pow.f32 (-.f32 (neg.f32 u0) #s(literal -1 binary32)) alpha) alpha) #s(literal -1 binary32)))
(.f32 (.f32 alpha alpha) (*.f32 (log1p.f32 (neg.f32 u0)) #s(literal -1 binary32)))
(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))))
(log.f32 (pow.f32 (pow.f32 (-.f32 (neg.f32 u0) #s(literal -1 binary32)) alpha) alpha))
(.f32 (.f32 alpha alpha) (log1p.f32 (neg.f32 u0)))
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 alpha alpha))
(.f32 alpha (.f32 alpha (log1p.f32 (neg.f32 u0))))
(*.f32 (neg.f32 (neg.f32 alpha)) (neg.f32 (neg.f32 alpha)))
(*.f32 (neg.f32 (fabs.f32 alpha)) (neg.f32 (fabs.f32 alpha)))
(*.f32 (fabs.f32 (fabs.f32 alpha)) (fabs.f32 (fabs.f32 alpha)))
(*.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)))
(*.f32 (neg.f32 alpha) (neg.f32 alpha))
(*.f32 (fabs.f32 alpha) (fabs.f32 alpha))
(*.f32 alpha alpha)
(pow.f32 (exp.f32 (log.f32 alpha)) #s(literal 2 binary32))
(pow.f32 (neg.f32 alpha) #s(literal 2 binary32))
(pow.f32 (fabs.f32 alpha) #s(literal 2 binary32))
(pow.f32 (*.f32 alpha alpha) #s(literal 1 binary32))
(pow.f32 alpha #s(literal 2 binary32))
(fabs.f32 (*.f32 alpha alpha))
(+.f32 (cosh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))) (sinh.f32 (.f32 (log.f32 alpha) #s(literal 2 binary32))))
(exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32)))
alpha
(log.f32 (-.f32 (neg.f32 u0) #s(literal -1 binary32)))
(-.f32 (log1p.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u0 u0) (.f32 #s(literal 1 binary32) (neg.f32 u0)))))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0))) (log.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u0))))
(log1p.f32 (neg.f32 u0))
(*.f32 #s(literal -1 binary32) u0)
(*.f32 u0 #s(literal -1 binary32))
(neg.f32 u0)
u0
#s(literal -1 binary32)
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) (neg.f32 (*.f32 alpha alpha)))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (log.f32 (-.f32 #s(literal 1 binary32) u0)) (.f32 alpha alpha)))
#s(approx (* alpha alpha) (*.f32 alpha alpha))
#s(approx alpha alpha)
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (.f32 (.f32 alpha alpha) u0))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 alpha alpha)) u0))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (neg.f32 (.f32 alpha alpha)) u0))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha)) u0 (neg.f32 (.f32 alpha alpha))) u0))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0 (neg.f32 (.f32 alpha alpha))) u0))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal -1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0 (neg.f32 (.f32 alpha alpha))) u0))
#s(approx (log (+ 1 (neg u0))) (neg.f32 u0))
#s(approx (log (+ 1 (neg u0))) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u0) #s(literal 1 binary32)) u0))
#s(approx (log (+ 1 (neg u0))) (.f32 (-.f32 (.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) u0) #s(literal 1/2 binary32)) u0) #s(literal 1 binary32)) u0))
#s(approx (log (+ 1 (neg u0))) (.f32 (-.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/4 binary32) u0) #s(literal 1/3 binary32)) u0) #s(literal 1/2 binary32)) u0) #s(literal 1 binary32)) u0))
#s(approx (neg u0) (neg.f32 u0))
#s(approx u0 u0)
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (neg.f32 u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (fma.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (neg.f32 u0)) (/.f32 (.f32 alpha alpha) u0)))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (fma.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (neg.f32 u0)) (fma.f32 (/.f32 #s(literal 1/2 binary32) u0) (/.f32 (.f32 alpha alpha) u0) (/.f32 (*.f32 alpha alpha) u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (fma.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (neg.f32 u0)) (fma.f32 (/.f32 (.f32 alpha alpha) (pow.f32 u0 #s(literal 3 binary32))) #s(literal 1/3 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) u0) (/.f32 (.f32 alpha alpha) u0) (/.f32 (.f32 alpha alpha) u0)))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (log.f32 (neg.f32 u0)) (.f32 alpha alpha)))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (-.f32 (.f32 (log.f32 (neg.f32 u0)) (.f32 alpha alpha)) (/.f32 (*.f32 alpha alpha) u0)))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) u0) (/.f32 (.f32 alpha alpha) u0) (.f32 (log.f32 (neg.f32 u0)) (.f32 alpha alpha))) (/.f32 (.f32 alpha alpha) u0)))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) u0) (/.f32 (.f32 alpha alpha) u0) (fma.f32 (log.f32 (neg.f32 u0)) (.f32 alpha alpha) (/.f32 (.f32 #s(literal -1/3 binary32) (.f32 alpha alpha)) (pow.f32 u0 #s(literal 3 binary32))))) (/.f32 (*.f32 alpha alpha) u0)))
#s(approx (log (+ 1 (neg u0))) (log.f32 (neg.f32 u0)))
#s(approx (log (+ 1 (neg u0))) (-.f32 (log.f32 (neg.f32 u0)) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (log (+ 1 (neg u0))) (+.f32 (log.f32 (neg.f32 u0)) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal -1 binary32)) u0))))
#s(approx (log (+ 1 (neg u0))) (-.f32 (+.f32 (log.f32 (neg.f32 u0)) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u0) #s(literal -1/2 binary32)) (*.f32 u0 u0)))) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha)))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha) (/.f32 (.f32 alpha alpha) u0)))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha) (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal -1/2 binary32) (neg.f32 (*.f32 alpha alpha))) u0))))
#s(approx (* (* (* alpha alpha) (log (+ 1 (neg u0)))) -1) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal 1/3 binary32) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0) #s(literal -1 binary32) (neg.f32 (*.f32 alpha alpha))) u0))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (/.f32 #s(literal -1 binary32) u0))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (-.f32 (.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (/.f32 #s(literal -1 binary32) u0))) (/.f32 (*.f32 alpha alpha) u0)))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (fma.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (/.f32 #s(literal -1 binary32) u0)) (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal 1/2 binary32) (*.f32 alpha alpha)) u0))))
#s(approx (* (* alpha alpha) (log (+ 1 (neg u0)))) (fma.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (/.f32 #s(literal -1 binary32) u0)) (neg.f32 (/.f32 (fma.f32 alpha alpha (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal -1/3 binary32) (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0))) u0))))
#s(approx (log (+ 1 (neg u0))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))))
#s(approx (log (+ 1 (neg u0))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (log (+ 1 (neg u0))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal -1 binary32)) u0))))
#s(approx (log (+ 1 (neg u0))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u0 u0)) (/.f32 #s(literal 1/2 binary32) u0)) #s(literal -1 binary32)) u0))))

eval6.0ms (0.2%)

Memory: 12.2MiB live, 12.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 451 to 326 computations (77.5% saved)

prune79.0ms (3.1%)

Memory

-31.2MiB live, 26.5MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	76	7	83

Accuracy

99.8%

Counts

83 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
	98.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u0 u0 u0))))
	98.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))
▶	98.9%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
	95.3%	(.f32 (.f32 (exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
	92.5%	(.f32 #s(approx ( (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal -1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0 (neg.f32 (.f32 alpha alpha))) u0)) #s(literal -1 binary32))
	90.2%	(.f32 #s(approx ( (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0 (neg.f32 (.f32 alpha alpha))) u0)) #s(literal -1 binary32))

Compiler

Compiled 247 to 174 computations (29.6% saved)

series92.0ms (3.6%)

Memory

6.4MiB live, 53.0MiB allocated; 3ms collecting garbage

Counts

7 → 42

Calls

Call 1

Inputs
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
(neg.f32 alpha)
alpha

Outputs
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* -1 (* (pow alpha 2) (log (- 1 u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* -1 (* alpha (log (- 1 u0))))))
#s(approx (neg alpha) #s(hole binary32 (* -1 alpha)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* (pow alpha 2) u0)))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* alpha u0)))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* u0 (+ alpha (* 1/2 (* alpha u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha)))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* u0 (+ alpha (* u0 (+ (* 1/2 alpha) (* u0 (+ (* 1/4 (* alpha u0)) (* 1/3 alpha)))))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* -1 u0)))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* -1/2 u0) 1))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
#s(approx (neg u0) #s(hole binary32 (* -1 u0)))
#s(approx u0 #s(hole binary32 u0))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ alpha u0))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0)))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ alpha (pow u0 3))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (log -1) (* -1 (log (/ 1 u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* (pow alpha 2) (log (/ -1 u0)))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* alpha (log (/ -1 u0)))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* alpha (log (/ -1 u0))) (/ alpha u0))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 alpha) (* -1/2 (/ alpha u0))) u0)) (* alpha (log (/ -1 u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* 1/3 (/ alpha u0)) (* 1/2 alpha)) u0))) u0)) (* alpha (log (/ -1 u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* -1 (log (/ -1 u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (* -1 (log (/ -1 u0))) (/ 1 u0))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))))

Calls

6 calls:

Time	Variable		Point	Expression
61.0ms	alpha	@	inf	((* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (* (log (+ 1 (neg u0))) (neg alpha)) (log (+ 1 (neg u0))) (neg u0) u0 (neg alpha) alpha)
20.0ms	alpha	@	0	((* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (* (log (+ 1 (neg u0))) (neg alpha)) (log (+ 1 (neg u0))) (neg u0) u0 (neg alpha) alpha)
8.0ms	alpha	@	-inf	((* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (* (log (+ 1 (neg u0))) (neg alpha)) (log (+ 1 (neg u0))) (neg u0) u0 (neg alpha) alpha)
1.0ms	u0	@	-inf	((* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (* (log (+ 1 (neg u0))) (neg alpha)) (log (+ 1 (neg u0))) (neg u0) u0 (neg alpha) alpha)
1.0ms	u0	@	inf	((* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (* (log (+ 1 (neg u0))) (neg alpha)) (log (+ 1 (neg u0))) (neg u0) u0 (neg alpha) alpha)

rewrite165.0ms (6.4%)

Memory

21.2MiB live, 160.7MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	212	939
0	218	876
1	1252	822
0	8383	789

Stop Event

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

Counts

49 → 61

Calls

Call 1

Inputs
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
(log1p.f32 (neg.f32 u0))
(neg.f32 u0)
u0
(neg.f32 alpha)
alpha
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* -1 (* (pow alpha 2) (log (- 1 u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* -1 (* alpha (log (- 1 u0))))))
#s(approx (neg alpha) #s(hole binary32 (* -1 alpha)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* (pow alpha 2) u0)))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* alpha u0)))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* u0 (+ alpha (* 1/2 (* alpha u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* u0 (+ alpha (* u0 (+ (* 1/3 (* alpha u0)) (* 1/2 alpha)))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* u0 (+ alpha (* u0 (+ (* 1/2 alpha) (* u0 (+ (* 1/4 (* alpha u0)) (* 1/3 alpha)))))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* -1 u0)))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* -1/2 u0) 1))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
#s(approx (neg u0) #s(hole binary32 (* -1 u0)))
#s(approx u0 #s(hole binary32 u0))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0))))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (/ alpha u0))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0)))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (* alpha (+ (log -1) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ alpha (pow u0 3))) (+ (* 1/2 (/ alpha (pow u0 2))) (/ alpha u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (log -1) (* -1 (log (/ 1 u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (+ (log -1) (* -1 (log (/ 1 u0)))) (/ 1 u0))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (+ (log -1) (+ (* -1 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (/ 1 u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (* (pow alpha 2) (log (/ -1 u0)))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* (pow alpha 2) (log (/ -1 u0))) (/ (pow alpha 2) u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)) (* (pow alpha 2) (log (/ -1 u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (* alpha (log (/ -1 u0)))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* alpha (log (/ -1 u0))) (/ alpha u0))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 alpha) (* -1/2 (/ alpha u0))) u0)) (* alpha (log (/ -1 u0))))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 alpha) (* -1 (/ (+ (* 1/3 (/ alpha u0)) (* 1/2 alpha)) u0))) u0)) (* alpha (log (/ -1 u0))))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (* -1 (log (/ -1 u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (- (* -1 (log (/ -1 u0))) (/ 1 u0))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))))
#s(approx (log (+ 1 (neg u0))) #s(hole binary32 (+ (* -1 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0)))))

Outputs
(.f32 (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))) alpha)
(.f32 (log1p.f32 (neg.f32 u0)) (.f32 (neg.f32 alpha) alpha))
(.f32 alpha (.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0))))
(log.f32 (pow.f32 (-.f32 (neg.f32 u0) #s(literal -1 binary32)) (neg.f32 alpha)))
(*.f32 (neg.f32 alpha) (log1p.f32 (neg.f32 u0)))
(*.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha))
(neg.f32 (*.f32 (log1p.f32 (neg.f32 u0)) alpha))
(log.f32 (-.f32 (neg.f32 u0) #s(literal -1 binary32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0))) (log.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u0))))
(-.f32 (log1p.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u0 u0) (.f32 #s(literal 1 binary32) (neg.f32 u0)))))
(log1p.f32 (neg.f32 u0))
(*.f32 #s(literal -1 binary32) u0)
(*.f32 u0 #s(literal -1 binary32))
(neg.f32 u0)
u0
(*.f32 #s(literal -1 binary32) alpha)
(*.f32 alpha #s(literal -1 binary32))
(neg.f32 alpha)
alpha
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) (neg.f32 (*.f32 alpha alpha)))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (*.f32 (neg.f32 alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0))))
#s(approx (neg alpha) (neg.f32 alpha))
#s(approx alpha alpha)
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (.f32 (.f32 alpha alpha) u0))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 alpha alpha)) u0))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (*.f32 alpha u0))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (.f32 (fma.f32 (.f32 alpha u0) #s(literal 1/2 binary32) alpha) u0))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (.f32 (fma.f32 (fma.f32 (.f32 alpha u0) #s(literal 1/3 binary32) (*.f32 #s(literal 1/2 binary32) alpha)) u0 alpha) u0))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 alpha u0) #s(literal 1/4 binary32) (.f32 #s(literal 1/3 binary32) alpha)) u0 (.f32 #s(literal 1/2 binary32) alpha)) u0 alpha) u0))
#s(approx (log (+ 1 (neg u0))) (neg.f32 u0))
#s(approx (log (+ 1 (neg u0))) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u0) #s(literal 1 binary32)) u0))
#s(approx (log (+ 1 (neg u0))) (.f32 (-.f32 (.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) u0) #s(literal 1/2 binary32)) u0) #s(literal 1 binary32)) u0))
#s(approx (log (+ 1 (neg u0))) (.f32 (-.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/4 binary32) u0) #s(literal 1/3 binary32)) u0) #s(literal 1/2 binary32)) u0) #s(literal 1 binary32)) u0))
#s(approx (neg u0) (neg.f32 u0))
#s(approx u0 u0)
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (neg.f32 u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (fma.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (neg.f32 u0)) (/.f32 (.f32 alpha alpha) u0)))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (fma.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (neg.f32 u0)) (fma.f32 (pow.f32 (/.f32 alpha u0) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (fma.f32 (neg.f32 (.f32 alpha alpha)) (log.f32 (neg.f32 u0)) (fma.f32 (pow.f32 (/.f32 alpha u0) #s(literal 2 binary32)) (/.f32 #s(literal 1/3 binary32) u0) (fma.f32 (pow.f32 (/.f32 alpha u0) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (.f32 alpha alpha) u0)))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (*.f32 (neg.f32 alpha) (log.f32 (neg.f32 u0))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (fma.f32 (neg.f32 alpha) (log.f32 (neg.f32 u0)) (/.f32 alpha u0)))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (fma.f32 (neg.f32 alpha) (log.f32 (neg.f32 u0)) (fma.f32 (/.f32 alpha (*.f32 u0 u0)) #s(literal 1/2 binary32) (/.f32 alpha u0))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (fma.f32 (neg.f32 alpha) (log.f32 (neg.f32 u0)) (fma.f32 (/.f32 alpha (pow.f32 u0 #s(literal 3 binary32))) #s(literal 1/3 binary32) (fma.f32 (/.f32 alpha (*.f32 u0 u0)) #s(literal 1/2 binary32) (/.f32 alpha u0)))))
#s(approx (log (+ 1 (neg u0))) (log.f32 (neg.f32 u0)))
#s(approx (log (+ 1 (neg u0))) (-.f32 (log.f32 (neg.f32 u0)) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (log (+ 1 (neg u0))) (+.f32 (log.f32 (neg.f32 u0)) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal -1 binary32)) u0))))
#s(approx (log (+ 1 (neg u0))) (-.f32 (+.f32 (log.f32 (neg.f32 u0)) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u0) #s(literal -1/2 binary32)) (*.f32 u0 u0)))) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha)))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha) (/.f32 (.f32 alpha alpha) u0)))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha) (neg.f32 (/.f32 (-.f32 (.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal -1/2 binary32)) (.f32 alpha alpha)) u0))))
#s(approx (* (* (log (+ 1 (neg u0))) (neg alpha)) alpha) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (.f32 alpha alpha) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal 1/3 binary32) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0)) (*.f32 alpha alpha)) u0))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (log.f32 (pow.f32 (/.f32 #s(literal -1 binary32) u0) alpha)))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) alpha (/.f32 alpha u0)))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) alpha (neg.f32 (/.f32 (fma.f32 (/.f32 alpha u0) #s(literal -1/2 binary32) (neg.f32 alpha)) u0))))
#s(approx (* (log (+ 1 (neg u0))) (neg alpha)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) alpha (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 alpha u0) #s(literal 1/3 binary32) (*.f32 #s(literal 1/2 binary32) alpha)) u0) #s(literal -1 binary32) (neg.f32 alpha)) u0))))
#s(approx (log (+ 1 (neg u0))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))))
#s(approx (log (+ 1 (neg u0))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (log (+ 1 (neg u0))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal -1 binary32)) u0))))
#s(approx (log (+ 1 (neg u0))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 u0 u0)) (/.f32 #s(literal 1/2 binary32) u0)) #s(literal -1 binary32)) u0))))

eval13.0ms (0.5%)

Memory: -33.7MiB live, 10.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 153 to 277 computations (76% saved)

prune18.0ms (0.7%)

Memory

22.5MiB live, 22.5MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	1	4	5
Picked	0	1	1
Done	1	0	1
Total	64	6	70

Accuracy

99.8%

Counts

70 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u0 u0 u0))))
▶	98.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))
✓	98.9%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
	95.3%	(.f32 (.f32 (exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
	92.5%	(.f32 #s(approx ( (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal -1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0 (neg.f32 (.f32 alpha alpha))) u0)) #s(literal -1 binary32))
	92.4%	(.f32 #s(approx ( (log (+ 1 (neg u0))) (neg alpha)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 alpha u0) #s(literal 1/4 binary32) (.f32 #s(literal 1/3 binary32) alpha)) u0 (.f32 #s(literal 1/2 binary32) alpha)) u0 alpha) u0)) alpha)

Compiler

Compiled 224 to 159 computations (29% saved)

series141.0ms (5.5%)

Memory

8.6MiB live, 98.2MiB allocated; 14ms collecting garbage

Counts

10 → 55

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
alpha
(-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))
(log1p.f32 (*.f32 (neg.f32 u0) u0))
(*.f32 (neg.f32 u0) u0)
(neg.f32 u0)
u0
(log1p.f32 u0)

Outputs
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) (- (log (+ 1 (* -1 (pow u0 2)))) (log (+ 1 u0)))))))
#s(approx (* (neg alpha) alpha) #s(hole binary32 (* -1 (pow alpha 2))))
#s(approx (neg alpha) #s(hole binary32 (* -1 alpha)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* (pow alpha 2) u0)))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (* -1 u0)))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (* u0 (- (* -1/2 u0) 1))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (* -1 (pow u0 2))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (* (pow u0 2) (- (* -1/2 (pow u0 2)) 1))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (* (pow u0 2) (- (* (pow u0 2) (- (* -1/3 (pow u0 2)) 1/2)) 1))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (* (pow u0 2) (- (* (pow u0 2) (- (* (pow u0 2) (- (* -1/4 (pow u0 2)) 1/3)) 1/2)) 1))))
#s(approx (* (neg u0) u0) #s(hole binary32 (* -1 (pow u0 2))))
#s(approx (neg u0) #s(hole binary32 (* -1 u0)))
#s(approx u0 #s(hole binary32 u0))
#s(approx (log (+ 1 u0)) #s(hole binary32 u0))
#s(approx (log (+ 1 u0)) #s(hole binary32 (* u0 (+ 1 (* -1/2 u0)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (* u0 (+ 1 (* u0 (- (* 1/3 u0) 1/2))))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (* u0 (+ 1 (* u0 (- (* u0 (+ 1/3 (* -1/4 u0))) 1/2))))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (log -1) (* -2 (log (/ 1 u0)))) (+ (* -1 (log (/ 1 u0))) (/ 1 u0)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) (* -1 (log (/ 1 u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (+ (* -1 (log (/ 1 u0))) (/ 1 u0)))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (+ (log -1) (* -2 (log (/ 1 u0))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (- (+ (log -1) (* -2 (log (/ 1 u0)))) (/ 1 (pow u0 2)))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u0 2)))) (pow u0 2)))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (- (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u0 2)))) (pow u0 4))))) (/ 1 (pow u0 2)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (* -1 (log (/ 1 u0)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (* -1 (log (/ 1 u0))) (/ 1 u0))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (- (+ (* -1 (log (/ 1 u0))) (/ 1 u0)) (/ 1/2 (pow u0 2)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (- (+ (* -1 (log (/ 1 u0))) (+ (/ 1 u0) (* 1/3 (/ 1 (pow u0 3))))) (/ 1/2 (pow u0 2)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0))))))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (* -2 (log (/ -1 u0))) (+ (* -1 (log (/ -1 u0))) (/ 1 u0)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) (* -1 (log (/ -1 u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) (* -1 (log (/ -1 u0))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (+ (log -1) (* -2 (log (/ -1 u0))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (- (+ (log -1) (* -2 (log (/ -1 u0)))) (/ 1 (pow u0 2)))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (+ (log -1) (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u0 2)))) (pow u0 2)))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (- (+ (log -1) (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u0 2)))) (pow u0 4))))) (/ 1 (pow u0 2)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 u0))))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 u0))) (/ 1 u0)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 u0))) (* -1 (/ (- (* 1/2 (/ 1 u0)) 1) u0))))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 u0))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u0)) 1/2) u0)) 1) u0))))))

Calls

6 calls:

Time	Variable		Point	Expression
88.0ms	alpha	@	0	((* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (* (neg alpha) alpha) (neg alpha) alpha (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (log (+ 1 (* (neg u0) u0))) (* (neg u0) u0) (neg u0) u0 (log (+ 1 u0)))
25.0ms	alpha	@	-inf	((* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (* (neg alpha) alpha) (neg alpha) alpha (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (log (+ 1 (* (neg u0) u0))) (* (neg u0) u0) (neg u0) u0 (log (+ 1 u0)))
22.0ms	alpha	@	inf	((* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (* (neg alpha) alpha) (neg alpha) alpha (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (log (+ 1 (* (neg u0) u0))) (* (neg u0) u0) (neg u0) u0 (log (+ 1 u0)))
2.0ms	u0	@	inf	((* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (* (neg alpha) alpha) (neg alpha) alpha (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (log (+ 1 (* (neg u0) u0))) (* (neg u0) u0) (neg u0) u0 (log (+ 1 u0)))
2.0ms	u0	@	0	((* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (* (neg alpha) alpha) (neg alpha) alpha (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (log (+ 1 (* (neg u0) u0))) (* (neg u0) u0) (neg u0) u0 (log (+ 1 u0)))

rewrite173.0ms (6.7%)

Memory

-12.7MiB live, 131.6MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	272	1423
0	285	1269
1	1702	1187
0	8048	1155

Stop Event

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

Counts

65 → 96

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))
(*.f32 (neg.f32 alpha) alpha)
(neg.f32 alpha)
alpha
(-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))
(log1p.f32 (*.f32 (neg.f32 u0) u0))
(*.f32 (neg.f32 u0) u0)
(neg.f32 u0)
u0
(log1p.f32 u0)
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) (- (log (+ 1 (* -1 (pow u0 2)))) (log (+ 1 u0)))))))
#s(approx (* (neg alpha) alpha) #s(hole binary32 (* -1 (pow alpha 2))))
#s(approx (neg alpha) #s(hole binary32 (* -1 alpha)))
#s(approx alpha #s(hole binary32 alpha))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* (pow alpha 2) u0)))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* u0 (+ (* 1/2 (* (pow alpha 2) u0)) (pow alpha 2)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/3 (* (pow alpha 2) u0)) (* 1/2 (pow alpha 2)))) (pow alpha 2)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* u0 (+ (* u0 (+ (* 1/2 (pow alpha 2)) (* u0 (+ (* 1/4 (* (pow alpha 2) u0)) (* 1/3 (pow alpha 2)))))) (pow alpha 2)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (* -1 u0)))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (* u0 (- (* -1/2 u0) 1))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (* u0 (- (* u0 (- (* -1/3 u0) 1/2)) 1))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (* u0 (- (* u0 (- (* u0 (- (* -1/4 u0) 1/3)) 1/2)) 1))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (* -1 (pow u0 2))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (* (pow u0 2) (- (* -1/2 (pow u0 2)) 1))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (* (pow u0 2) (- (* (pow u0 2) (- (* -1/3 (pow u0 2)) 1/2)) 1))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (* (pow u0 2) (- (* (pow u0 2) (- (* (pow u0 2) (- (* -1/4 (pow u0 2)) 1/3)) 1/2)) 1))))
#s(approx (* (neg u0) u0) #s(hole binary32 (* -1 (pow u0 2))))
#s(approx (neg u0) #s(hole binary32 (* -1 u0)))
#s(approx u0 #s(hole binary32 u0))
#s(approx (log (+ 1 u0)) #s(hole binary32 u0))
#s(approx (log (+ 1 u0)) #s(hole binary32 (* u0 (+ 1 (* -1/2 u0)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (* u0 (+ 1 (* u0 (- (* 1/3 u0) 1/2))))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (* u0 (+ 1 (* u0 (- (* u0 (+ 1/3 (* -1/4 u0))) 1/2))))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0))))))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0)))))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0)))))) (+ (* 1/3 (/ (pow alpha 2) (pow u0 3))) (+ (* 1/2 (/ (pow alpha 2) (pow u0 2))) (/ (pow alpha 2) u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (log -1) (* -2 (log (/ 1 u0)))) (* -1 (log (/ 1 u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (log -1) (* -2 (log (/ 1 u0)))) (+ (* -1 (log (/ 1 u0))) (/ 1 u0)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0)))) (* -1 (log (/ 1 u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 u0))) (pow u0 2))))) (+ (* -1 (log (/ 1 u0))) (/ 1 u0)))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (+ (log -1) (* -2 (log (/ 1 u0))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (- (+ (log -1) (* -2 (log (/ 1 u0)))) (/ 1 (pow u0 2)))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u0 2)))) (pow u0 2)))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (- (+ (log -1) (+ (* -2 (log (/ 1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u0 2)))) (pow u0 4))))) (/ 1 (pow u0 2)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (* -1 (log (/ 1 u0)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (* -1 (log (/ 1 u0))) (/ 1 u0))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (- (+ (* -1 (log (/ 1 u0))) (/ 1 u0)) (/ 1/2 (pow u0 2)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (- (+ (* -1 (log (/ 1 u0))) (+ (/ 1 u0) (* 1/3 (/ 1 (pow u0 3))))) (/ 1/2 (pow u0 2)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0))))))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (/ (pow alpha 2) u0))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (pow alpha 2)) (* -1/2 (/ (pow alpha 2) u0))) u0)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) #s(hole binary32 (+ (* -1 (* (pow alpha 2) (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0)))))) (* -1 (/ (+ (* -1 (/ (+ (* 1/3 (/ (pow alpha 2) u0)) (* 1/2 (pow alpha 2))) u0)) (* -1 (pow alpha 2))) u0)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (* -2 (log (/ -1 u0))) (* -1 (log (/ -1 u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (* -2 (log (/ -1 u0))) (+ (* -1 (log (/ -1 u0))) (/ 1 u0)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 u0))) u0))) (* -1 (log (/ -1 u0))))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) #s(hole binary32 (- (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow u0 2)) (* 1/2 (/ 1 u0)))) u0))) (* -1 (log (/ -1 u0))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (+ (log -1) (* -2 (log (/ -1 u0))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (- (+ (log -1) (* -2 (log (/ -1 u0)))) (/ 1 (pow u0 2)))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (+ (log -1) (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow u0 2)))) (pow u0 2)))))))
#s(approx (log (+ 1 (* (neg u0) u0))) #s(hole binary32 (- (+ (log -1) (+ (* -2 (log (/ -1 u0))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 (pow u0 2)))) (pow u0 4))))) (/ 1 (pow u0 2)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 u0))))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 u0))) (/ 1 u0)))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 u0))) (* -1 (/ (- (* 1/2 (/ 1 u0)) 1) u0))))))
#s(approx (log (+ 1 u0)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 u0))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 u0)) 1/2) u0)) 1) u0))))))

Outputs
(log.f32 (pow.f32 (/.f32 (fma.f32 (neg.f32 u0) u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)) (*.f32 (neg.f32 alpha) alpha)))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))
(.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))
(.f32 (-.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0)) (*.f32 (neg.f32 alpha) alpha))
(.f32 (neg.f32 alpha) (.f32 alpha (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))
(neg.f32 (.f32 (.f32 alpha alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))
(.f32 (.f32 alpha alpha) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 alpha alpha))
(*.f32 (neg.f32 alpha) alpha)
(*.f32 alpha (neg.f32 alpha))
(neg.f32 (*.f32 alpha alpha))
(*.f32 #s(literal -1 binary32) alpha)
(*.f32 alpha #s(literal -1 binary32))
(neg.f32 alpha)
alpha
(log.f32 (/.f32 (fma.f32 (neg.f32 u0) u0 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u0)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)))) (neg.f32 (+.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32))) (+.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (+.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))) (/.f32 (pow.f32 (log1p.f32 u0) #s(literal 2 binary32)) (+.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))) (/.f32 (pow.f32 (log1p.f32 u0) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))
(log.f32 (fma.f32 (neg.f32 u0) u0 #s(literal 1 binary32)))
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 4 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u0) u0))))
(-.f32 (log1p.f32 (pow.f32 (.f32 (neg.f32 u0) u0) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 u0 #s(literal 4 binary32)) (.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u0) u0)))))
(log1p.f32 (*.f32 (neg.f32 u0) u0))
(.f32 (.f32 u0 u0) #s(literal -1 binary32))
(.f32 #s(literal -1 binary32) (.f32 u0 u0))
(*.f32 (neg.f32 u0) u0)
(*.f32 u0 (neg.f32 u0))
(neg.f32 (*.f32 u0 u0))
(*.f32 #s(literal -1 binary32) u0)
(*.f32 u0 #s(literal -1 binary32))
(neg.f32 u0)
u0
(log.f32 (+.f32 #s(literal 1 binary32) u0))
(-.f32 (log1p.f32 (pow.f32 u0 #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u0 u0) (.f32 #s(literal 1 binary32) u0))))
(-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(log1p.f32 u0)
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))
#s(approx (* (neg alpha) alpha) (*.f32 (neg.f32 alpha) alpha))
#s(approx (neg alpha) (neg.f32 alpha))
#s(approx alpha alpha)
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (.f32 (.f32 alpha alpha) u0))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 alpha alpha)) u0))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (neg.f32 u0))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) u0) #s(literal 1 binary32)) u0))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (.f32 (-.f32 (.f32 (-.f32 (*.f32 #s(literal -1/3 binary32) u0) #s(literal 1/2 binary32)) u0) #s(literal 1 binary32)) u0))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (.f32 (-.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/4 binary32) u0) #s(literal 1/3 binary32)) u0) #s(literal 1/2 binary32)) u0) #s(literal 1 binary32)) u0))
#s(approx (log (+ 1 (* (neg u0) u0))) (*.f32 (neg.f32 u0) u0))
#s(approx (log (+ 1 (* (neg u0) u0))) (.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 u0 u0)) #s(literal 1 binary32)) (.f32 u0 u0)))
#s(approx (log (+ 1 (* (neg u0) u0))) (.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/3 binary32) (.f32 u0 u0)) #s(literal 1/2 binary32)) (.f32 u0 u0)) #s(literal 1 binary32)) (.f32 u0 u0)))
#s(approx (log (+ 1 (* (neg u0) u0))) (.f32 (-.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/4 binary32) (.f32 u0 u0)) #s(literal 1/3 binary32)) (.f32 u0 u0)) #s(literal 1/2 binary32)) (.f32 u0 u0)) #s(literal 1 binary32)) (.f32 u0 u0)))
#s(approx (* (neg u0) u0) (*.f32 (neg.f32 u0) u0))
#s(approx (neg u0) (neg.f32 u0))
#s(approx u0 u0)
#s(approx (log (+ 1 u0)) u0)
#s(approx (log (+ 1 u0)) (*.f32 (fma.f32 #s(literal -1/2 binary32) u0 #s(literal 1 binary32)) u0))
#s(approx (log (+ 1 u0)) (.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/3 binary32) u0) #s(literal 1/2 binary32)) u0 #s(literal 1 binary32)) u0))
#s(approx (log (+ 1 u0)) (.f32 (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -1/4 binary32) u0 #s(literal 1/3 binary32)) u0) #s(literal 1/2 binary32)) u0 #s(literal 1 binary32)) u0))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (fma.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (/.f32 (.f32 alpha alpha) u0)))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (fma.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (fma.f32 (/.f32 #s(literal 1/2 binary32) u0) (/.f32 (.f32 alpha alpha) u0) (/.f32 (*.f32 alpha alpha) u0))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (fma.f32 (.f32 (neg.f32 alpha) alpha) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (fma.f32 (/.f32 (.f32 alpha alpha) (pow.f32 u0 #s(literal 3 binary32))) #s(literal 1/3 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) u0) (/.f32 (.f32 alpha alpha) u0) (/.f32 (.f32 alpha alpha) u0)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (-.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 u0)) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (-.f32 (+.f32 (log.f32 (*.f32 (neg.f32 u0) u0)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal 1 binary32)) u0))) (log.f32 u0)))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (-.f32 (+.f32 (log.f32 (.f32 (neg.f32 u0) u0)) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u0) #s(literal 1/2 binary32)) (.f32 u0 u0)))) (+.f32 (log.f32 u0) (/.f32 #s(literal 1 binary32) u0))))
#s(approx (log (+ 1 (* (neg u0) u0))) (log.f32 (*.f32 (neg.f32 u0) u0)))
#s(approx (log (+ 1 (* (neg u0) u0))) (-.f32 (log.f32 (*.f32 (neg.f32 u0) u0)) (pow.f32 u0 #s(literal -2 binary32))))
#s(approx (log (+ 1 (* (neg u0) u0))) (+.f32 (log.f32 (.f32 (neg.f32 u0) u0)) (neg.f32 (/.f32 (fma.f32 (pow.f32 u0 #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 u0 u0)))))
#s(approx (log (+ 1 (* (neg u0) u0))) (-.f32 (+.f32 (log.f32 (*.f32 (neg.f32 u0) u0)) (neg.f32 (/.f32 (fma.f32 (pow.f32 u0 #s(literal -2 binary32)) #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (pow.f32 u0 #s(literal 4 binary32))))) (pow.f32 u0 #s(literal -2 binary32))))
#s(approx (log (+ 1 u0)) (log.f32 u0))
#s(approx (log (+ 1 u0)) (+.f32 (log.f32 u0) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (log (+ 1 u0)) (-.f32 (+.f32 (log.f32 u0) (/.f32 #s(literal 1 binary32) u0)) (*.f32 (pow.f32 u0 #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (log (+ 1 u0)) (-.f32 (+.f32 (fma.f32 (pow.f32 u0 #s(literal -3 binary32)) #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) u0)) (log.f32 u0)) (*.f32 (pow.f32 u0 #s(literal -2 binary32)) #s(literal 1/2 binary32))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (.f32 (.f32 (neg.f32 alpha) alpha) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (fma.f32 (.f32 (neg.f32 alpha) alpha) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))) (/.f32 (.f32 alpha alpha) u0)))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (fma.f32 (.f32 (neg.f32 alpha) alpha) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))) (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal -1/2 binary32) (*.f32 (neg.f32 alpha) alpha)) u0))))
#s(approx (* (* (neg alpha) alpha) (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0)))) (fma.f32 (.f32 (neg.f32 alpha) alpha) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))) (neg.f32 (/.f32 (fma.f32 (neg.f32 alpha) alpha (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 alpha alpha) u0) #s(literal 1/3 binary32) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0))) u0))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0))) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal 1 binary32)) u0))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)))))
#s(approx (- (log (+ 1 (* (neg u0) u0))) (log (+ 1 u0))) (-.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (fma.f32 (pow.f32 u0 #s(literal -2 binary32)) #s(literal 1/3 binary32) (/.f32 #s(literal 1/2 binary32) u0)) #s(literal 1 binary32)) u0))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)))))
#s(approx (log (+ 1 (* (neg u0) u0))) (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -2 binary32)) #s(literal -1 binary32))))
#s(approx (log (+ 1 (* (neg u0) u0))) (-.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -2 binary32)) #s(literal -1 binary32))) (pow.f32 u0 #s(literal -2 binary32))))
#s(approx (log (+ 1 (* (neg u0) u0))) (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) #s(literal -2 binary32) (neg.f32 (/.f32 (fma.f32 (pow.f32 u0 #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 u0 u0)))) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 (* (neg u0) u0))) (-.f32 (+.f32 (log.f32 (*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) u0) #s(literal -2 binary32)) #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 (pow.f32 u0 #s(literal -2 binary32)) #s(literal 1/3 binary32) #s(literal 1/2 binary32)) (pow.f32 u0 #s(literal 4 binary32))))) (pow.f32 u0 #s(literal -2 binary32))))
#s(approx (log (+ 1 u0)) (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32))))
#s(approx (log (+ 1 u0)) (+.f32 (log.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u0)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) u0)))
#s(approx (log (+ 1 u0)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) u0) #s(literal 1 binary32)) u0)) (log.f32 #s(literal -1 binary32))))
#s(approx (log (+ 1 u0)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) u0)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) u0) #s(literal 1/2 binary32)) u0)) #s(literal 1 binary32)) u0)) (log.f32 #s(literal -1 binary32))))

eval8.0ms (0.3%)

Memory: 11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 441 to 442 computations (81.9% saved)

prune41.0ms (1.6%)

Memory

-9.9MiB live, 35.4MiB allocated; 6ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	101	7	108

Accuracy

99.9%

Counts

108 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))))
	98.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32))) (+.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))
	98.6%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u0 u0 u0))))
	98.8%	(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (-.f32 (log1p.f32 (pow.f32 u0 #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u0 u0) (*.f32 #s(literal 1 binary32) u0))))))
✓	98.9%	(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
	95.3%	(.f32 (.f32 (exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
	92.5%	(.f32 #s(approx ( (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal -1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0 (neg.f32 (.f32 alpha alpha))) u0)) #s(literal -1 binary32))

Compiler

Compiled 483 to 215 computations (55.5% saved)

regimes51.0ms (2%)

Memory

-20.3MiB live, 41.8MiB allocated; 7ms collecting garbage

Accuracy

Total -15.4b remaining (-5226.2%)

Threshold costs -15.4b (-5226.2%)

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
(.f32 #s(approx ( (log (+ 1 (neg u0))) (neg alpha)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 alpha u0) #s(literal 1/4 binary32) (.f32 #s(literal 1/3 binary32) alpha)) u0 (.f32 #s(literal 1/2 binary32) alpha)) u0 alpha) u0)) alpha)
(.f32 #s(approx ( (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (fma.f32 #s(literal -1/3 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0 (neg.f32 (.f32 alpha alpha))) u0)) #s(literal -1 binary32))
#s(approx (* (* (neg alpha) alpha) (log (- 1 u0))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal 1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal 1/2 binary32) (.f32 alpha alpha))) u0 (.f32 alpha alpha)) u0))
(.f32 #s(approx ( (* alpha alpha) (log (+ 1 (neg u0)))) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 alpha alpha) u0) (.f32 #s(literal -1/3 binary32) (.f32 alpha alpha))) u0 (.f32 #s(literal -1/2 binary32) (.f32 alpha alpha))) u0 (neg.f32 (.f32 alpha alpha))) u0)) #s(literal -1 binary32))
(.f32 (.f32 (log1p.f32 (neg.f32 u0)) (neg.f32 alpha)) alpha)
(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))
(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (*.f32 (neg.f32 u0) u0)) (log1p.f32 u0)))
(.f32 (.f32 (exp.f32 (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (pow.f32 (neg.f32 u0) #s(literal 3 binary32))) (log1p.f32 (fma.f32 u0 u0 u0))))
(.f32 (.f32 (neg.f32 alpha) alpha) (-.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (-.f32 (log1p.f32 (pow.f32 u0 #s(literal 3 binary32))) (log1p.f32 (-.f32 (.f32 u0 u0) (*.f32 #s(literal 1 binary32) u0))))))
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 2 binary32))) (+.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))
(.f32 (.f32 (neg.f32 alpha) alpha) (/.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 u0) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) #s(literal 2 binary32)) (fma.f32 (log1p.f32 u0) (log1p.f32 u0) (.f32 (log1p.f32 (.f32 (neg.f32 u0) u0)) (log1p.f32 u0))))))

Outputs
(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))

Calls

6 calls:

13.0ms	(-.f32 #s(literal 1 binary32) u0)
8.0ms	alpha
8.0ms	(*.f32 (neg.f32 alpha) alpha)
7.0ms	u0
7.0ms	(log.f32 (-.f32 #s(literal 1 binary32) u0))

Results

Accuracy	Segments	Branch
99.1%	1	`(-.f32 #s(literal 1 binary32) u0)`
99.1%	1	`(log.f32 (-.f32 #s(literal 1 binary32) u0))`
99.1%	1	`(*.f32 (neg.f32 alpha) alpha)`
99.1%	1	`(.f32 (.f32 (neg.f32 alpha) alpha) (log.f32 (-.f32 #s(literal 1 binary32) u0)))`
99.1%	1	`alpha`
99.1%	1	`u0`

Compiler

Compiled 22 to 25 computations (-13.6% saved)

simplify9.0ms (0.4%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	13	9

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))

Outputs
(.f32 (.f32 (*.f32 alpha alpha) (log1p.f32 (neg.f32 u0))) #s(literal -1 binary32))

derivations32.0ms (1.2%)

Memory

24.0MiB live, 24.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 9 to 8 computations (11.1% saved)

preprocess15.0ms (0.6%)

Memory: -32.5MiB live, 12.5MiB allocated; 8ms collecting garbage
Remove: (abs alpha)
Compiler: Compiled 54 to 48 computations (11.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze60.0ms (2.3%)

sample881.0ms (34.2%)

explain90.0ms (3.5%)

preprocess193.0ms (7.5%)

eval0.0ms (0%)

prune0.0ms (0%)

series73.0ms (2.8%)

rewrite160.0ms (6.2%)

eval20.0ms (0.8%)

prune14.0ms (0.5%)

series36.0ms (1.4%)

rewrite200.0ms (7.8%)

eval6.0ms (0.2%)

prune79.0ms (3.1%)

series92.0ms (3.6%)

rewrite165.0ms (6.4%)

eval13.0ms (0.5%)

prune18.0ms (0.7%)

series141.0ms (5.5%)

rewrite173.0ms (6.7%)

eval8.0ms (0.3%)

prune41.0ms (1.6%)

regimes51.0ms (2%)

simplify9.0ms (0.4%)

derivations32.0ms (1.2%)

preprocess15.0ms (0.6%)

end0.0ms (0%)

Profiling