Metrics for ln(1 + x)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

3.7MiB live, 3.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
66.7%	50%	25%	0%	0%	25%	0%	3
83.3%	62.5%	12.5%	0%	0%	25%	0%	4
91.7%	68.7%	6.2%	0%	0%	25%	0%	5
95.8%	71.8%	3.1%	0%	0%	25%	0%	6
97.9%	73.4%	1.6%	0%	0%	25%	0%	7
99%	74.2%	0.8%	0%	0%	25%	0%	8
99.5%	74.6%	0.4%	0%	0%	25%	0%	9
99.7%	74.8%	0.2%	0%	0%	25%	0%	10
99.9%	74.9%	0.1%	0%	0%	25%	0%	11
99.9%	74.9%	0%	0%	0%	25%	0%	12

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample620.0ms (19.7%)

Memory

19.0MiB live, 772.2MiB allocated; 187ms collecting garbage

Samples

270.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-log1p: 104.0ms (98.8% of total)

adjust: 1.0ms (1% of total)

Bogosity

preprocess695.0ms (22.1%)

Memory

-5.0MiB live, 39.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	43	13
3	125	13
4	864	13

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	38.0%	(log.f64 (+.f64 #s(literal 1 binary64) x))

Compiler

Compiled 8 to 8 computations (0% saved)

series8.0ms (0.2%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	193

Stop Event

1×	iter-limit

Counts

4 → 14

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ 1 x) #s(literal 1 binary64))
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x))
#s(approx (log (+ 1 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ 1 x)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((log (+ 1 x)) (+ 1 x) 1 x)
1.0ms	x	@	inf	((log (+ 1 x)) (+ 1 x) 1 x)
0.0ms	x	@	0	((log (+ 1 x)) (+ 1 x) 1 x)

rewrite668.0ms (21.2%)

Memory

-46.1MiB live, 333.1MiB allocated; 159ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	28	9
2	66	9
3	181	9
4	813	9
5	7389	9
0	8579	7

Stop Event

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

Counts

4 → 469

Calls

Call 1

Inputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

Outputs
(log1p.f64 (-.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(log1p.f64 x)
(-.f64 (log.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 #s(literal 1 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (log.f64 #s(literal 4 binary64)))
(+.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (log.f64 #s(literal 1/2 binary64)))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 8 binary64)) #s(literal 1/4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) #s(literal 64 binary64)) #s(literal 16 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) #s(literal 32 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -16 binary64)) #s(literal -8 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(.f64 (.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))) #s(literal 4 binary64))
(*.f64 (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64)))) (-.f64 x #s(literal -1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -2 binary64)))) (-.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))) #s(literal 0 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal -2 binary64))
(.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 4 binary64)) #s(literal 1/4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(.f64 #s(literal 4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))))
(.f64 #s(literal 4 binary64) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(.f64 #s(literal 4 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 64 binary64)) #s(literal 16 binary64))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 32 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 16 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -16 binary64)) #s(literal -8 binary64))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 16 binary64)) #s(literal 8 binary64))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -8 binary64)) #s(literal -4 binary64))
(/.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) x #s(literal 8 binary64)) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 8 binary64) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -4 binary64) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 x #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 x (E.f64) (E.f64)) (E.f64))
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) (E.f64)) (E.f64)) (E.f64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 8 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -8 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64)))) (neg.f64 x))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -2 binary64))) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -2 binary64)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1/4 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 #s(literal 8 binary64) x #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 #s(literal 8 binary64) (neg.f64 x) #s(literal -8 binary64)) #s(literal -8 binary64))
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(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 3 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (.f64 #s(literal 3/2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 3/2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(+.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal -1 binary64) (-.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x

eval60.0ms (1.9%)

Memory: 21.2MiB live, 158.9MiB allocated; 25ms collecting garbage
Compiler: Compiled 2 844 to 1 259 computations (55.7% saved)

prune13.0ms (0.4%)

Memory

-17.4MiB live, 28.1MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	476	4	480
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	477	4	481

Accuracy

100.0%

Counts

481 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(log1p.f64 x)
▶	38.0%	(log.f64 (-.f64 x #s(literal -1 binary64)))
▶	68.1%	#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
▶	68.3%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 21 to 21 computations (0% saved)

series7.0ms (0.2%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	271

Stop Event

1×	iter-limit

Counts

12 → 20

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)
x
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(log1p.f64 x)

Outputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ 1 (* -1/2 x)) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (* -1/2 x) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (log (+ 1 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* x (+ 1 (* -1/2 x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x (+ 1 (* -1/2 x))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (+ 1 (* -1/2 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ 1 x)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (+ 1 (* -1/2 x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((log (+ 1 x)) x (log (+ 1 x)) (* x (+ 1 (* -1/2 x))) (+ 1 (* -1/2 x)) 1 (* -1/2 x) -1/2 (log (- x -1)) (- x -1) -1 (log (+ 1 x)))
1.0ms	x	@	inf	((log (+ 1 x)) x (log (+ 1 x)) (* x (+ 1 (* -1/2 x))) (+ 1 (* -1/2 x)) 1 (* -1/2 x) -1/2 (log (- x -1)) (- x -1) -1 (log (+ 1 x)))
1.0ms	x	@	0	((log (+ 1 x)) x (log (+ 1 x)) (* x (+ 1 (* -1/2 x))) (+ 1 (* -1/2 x)) 1 (* -1/2 x) -1/2 (log (- x -1)) (- x -1) -1 (log (+ 1 x)))

Time

Variable

Point

Expression

2.0ms

-inf

((log (+ 1 x)) x (log (+ 1 x)) (* x (+ 1 (* -1/2 x))) (+ 1 (* -1/2 x)) 1 (* -1/2 x) -1/2 (log (- x -1)) (- x -1) -1 (log (+ 1 x)))

1.0ms

inf

((log (+ 1 x)) x (log (+ 1 x)) (* x (+ 1 (* -1/2 x))) (+ 1 (* -1/2 x)) 1 (* -1/2 x) -1/2 (log (- x -1)) (- x -1) -1 (log (+ 1 x)))

1.0ms

((log (+ 1 x)) x (log (+ 1 x)) (* x (+ 1 (* -1/2 x))) (+ 1 (* -1/2 x)) 1 (* -1/2 x) -1/2 (log (- x -1)) (- x -1) -1 (log (+ 1 x)))

rewrite247.0ms (7.8%)

Memory

22.2MiB live, 306.1MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	19	40
1	85	40
2	254	40
3	643	40
4	2403	40
0	8178	37

Stop Event

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

Counts

12 → 930

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)
x
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
(.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
#s(literal 1 binary64)
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(log.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(log1p.f64 x)

Outputs
#s(approx (log (+ 1 x)) x)
x
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))) (.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x) #s(literal -1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) x))) (.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal 1/2 binary64) x) x) x)) x)
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) x) x) x)) x)
(.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(.f64 (neg.f64 x) (.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal 4 binary64)) (.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 8 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal 4 binary64)) (.f64 #s(literal -2 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal -4 binary64)) (.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal 4 binary64)) (.f64 (+.f64 x x) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) x) #s(literal -4 binary64)) (.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 0 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 0 binary64))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 0 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))) (-.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 0 binary64)) (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 0 binary64)))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 0 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 (.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 #s(literal 0 binary64) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)))) (-.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(/.f64 (-.f64 (.f64 x x) (.f64 (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) x)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) x)))) (-.f64 x (+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/2 binary64) x) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x)) (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x)))) (-.f64 x (-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 1/2 binary64) x) x))))
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(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(-.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 1 binary64) (-.f64 (neg.f64 x) #s(literal 0 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal -1 binary64)
(log1p.f64 x)
(-.f64 (log.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (+.f64 #s(literal -4 binary64) (*.f64 (+.f64 x x) #s(literal -2 binary64)))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (fma.f64 (+.f64 x x) #s(literal -2 binary64) #s(literal -4 binary64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (fma.f64 (+.f64 x x) #s(literal 2 binary64) #s(literal 4 binary64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (+.f64 #s(literal -4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 x x)))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x)))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)) #s(literal -4 binary64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (-.f64 (*.f64 (+.f64 x x) #s(literal -2 binary64)) #s(literal 4 binary64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64))) (log.f64 #s(literal -4 binary64)))
(-.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 4 binary64)))
(-.f64 (log.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)))) (log.f64 #s(literal 2 binary64)))
(-.f64 (log.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64))) (log.f64 #s(literal -2 binary64)))
(-.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 #s(literal 1 binary64)))
(-.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64))) (log.f64 #s(literal 4 binary64)))
(+.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1/2 binary64))) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal -1 binary64) x)))
(+.f64 (log.f64 #s(literal 1 binary64)) (log.f64 (-.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (log.f64 #s(literal 1 binary64)))
(+.f64 (log.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (log.f64 #s(literal 1/2 binary64)))
(log.f64 (-.f64 x #s(literal -1 binary64)))

eval174.0ms (5.5%)

Memory: -42.2MiB live, 199.7MiB allocated; 58ms collecting garbage
Compiler: Compiled 6 898 to 3 296 computations (52.2% saved)

prune14.0ms (0.4%)

Memory

33.4MiB live, 33.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	910	2	912
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	911	5	916

Accuracy

100.0%

Counts

916 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	38.0%	(log.f64 (-.f64 x #s(literal -1 binary64)))
▶	68.1%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
▶	68.1%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
✓	68.3%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 28 to 28 computations (0% saved)

series7.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	255

Stop Event

1×	iter-limit

Counts

9 → 19

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(*.f64 x x)

Outputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal -1/4 binary64) x))) #s(literal 1/2 binary64))))))
#s(approx (+ (* -1/2 x) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/2 x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx (log (+ 1 x)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (log (+ 1 x)) (-.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
#s(approx (* (+ (* -1/2 x) 1) x) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* (+ (* -1/2 x) 1) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/2 x) 1) (*.f64 #s(literal -1/2 binary64) x))
#s(approx (+ (* -1/2 x) 1) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))
#s(approx (log (+ 1 x)) (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x))))
#s(approx (log (+ 1 x)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (+ (* -1/2 x) 1) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))
1.0ms	x	@	inf	((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))
1.0ms	x	@	0	((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))

Time

Variable

Point

Expression

1.0ms

-inf

((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))

1.0ms

inf

((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))

1.0ms

((log (+ 1 x)) (* (+ (* -1/2 x) 1) x) (+ (* -1/2 x) 1) -1/2 x 1 (log (+ 1 x)) (+ (* (* x x) -1/2) x) (* x x))

rewrite261.0ms (8.3%)

Memory

-4.6MiB live, 270.0MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
0	17	44
1	81	44
2	221	44
3	768	44
4	2586	44
0	8055	40

Stop Event

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

Counts

9 → 591

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))
#s(literal -1/2 binary64)
x
#s(literal 1 binary64)
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x)
(*.f64 x x)

Outputs
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 x x)) x)) x)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) x) x) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 (.f64 #s(literal -1/2 binary64) x) x))) (.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (.f64 #s(literal -1/2 binary64) x) x))) (.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)
(.f64 x (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)))
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(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 x) (*.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 x x))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x))))
(.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (fabs.f64 x) (*.f64 x x))))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (neg.f64 x) (*.f64 x x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(.f64 (.f64 x x) (pow.f64 #s(literal -1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(.f64 #s(literal 1 binary64) (.f64 x x))
(pow.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 (+.f64 x x) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 x (+.f64 x x) (*.f64 (+.f64 x x) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) x (*.f64 (+.f64 x x) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) (+.f64 x x) (*.f64 #s(literal 0 binary64) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (fma.f64 x (+.f64 x x) (*.f64 #s(literal 0 binary64) (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) x (*.f64 #s(literal 0 binary64) (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) (+.f64 x x) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 x (+.f64 x x) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (+.f64 x x) x #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x (+.f64 x x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) x)) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 x x) (+.f64 x x))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (*.f64 (neg.f64 x) (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (+.f64 x x) (neg.f64 x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 x (+.f64 x x))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (+.f64 x x) x)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (+.f64 x x) (+.f64 x x))) #s(literal 4 binary64))
(/.f64 (pow.f64 (.f64 x x) (.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (pow.f64 (.f64 x x) (.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64)))))
(/.f64 (.f64 (fabs.f64 x) (.f64 x x)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 x x)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 x x)) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) x) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 x x) (+.f64 x x)) #s(literal 4 binary64))
(/.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (pow.f64 (.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) (.f64 x x)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x x) x) (pow.f64 x #s(literal 1 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fma.f64 (+.f64 #s(literal 0 binary64) (neg.f64 x)) (+.f64 #s(literal 0 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (-.f64 (neg.f64 x) #s(literal 0 binary64)) (-.f64 (neg.f64 x) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 0 binary64))
(sqrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (neg.f64 (*.f64 x (fabs.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (neg.f64 (*.f64 (fabs.f64 x) x)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 x (neg.f64 (fabs.f64 x))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 x (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 x (fabs.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 x (fabs.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (fabs.f64 x)) x) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (fabs.f64 x)) x) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (fabs.f64 x) x) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 x (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (fabs.f64 x) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 x (neg.f64 (fabs.f64 x)))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 x (fabs.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) (neg.f64 x))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (fabs.f64 x)) x)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (fabs.f64 x) x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (*.f64 x x) #s(literal 0 binary64))

eval111.0ms (3.5%)

Memory: -3.5MiB live, 187.0MiB allocated; 20ms collecting garbage
Compiler: Compiled 3 176 to 1 737 computations (45.3% saved)

prune11.0ms (0.4%)

Memory

-15.2MiB live, 30.9MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	464	0	464
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	464	5	469

Accuracy

100.0%

Counts

469 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(log1p.f64 x)
✓	38.0%	(log.f64 (-.f64 x #s(literal -1 binary64)))
✓	68.1%	#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
✓	68.1%	#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
✓	68.3%	#s(approx (log (+ 1 x)) x)

Compiler

Compiled 55 to 51 computations (7.3% saved)

regimes6.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))
(log1p.f64 x)

Outputs
(log1p.f64 x)

Calls

3 calls:

2.0ms	x
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
2.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 #s(literal 1 binary64) x)`
100.0%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
100.0%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes6.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(log.f64 (-.f64 x #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
#s(approx (log (+ 1 x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) x))))

Outputs
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))
(log.f64 (-.f64 x #s(literal -1 binary64)))

Calls

3 calls:

2.0ms	x
2.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))
2.0ms	(+.f64 #s(literal 1 binary64) x)

Results

Accuracy	Segments	Branch
99.5%	2	`(+.f64 #s(literal 1 binary64) x)`
99.5%	2	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
99.5%	2	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes44.0ms (1.4%)

Memory

-55.1MiB live, 11.6MiB allocated; 17ms collecting garbage

Accuracy

Total -0.9b remaining (-4.4%)

Threshold costs -0.9b (-4.4%)

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (log (+ 1 x)) x)
#s(approx (log (+ 1 x)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x))
#s(approx (log (+ 1 x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x))

Outputs
#s(approx (log (+ 1 x)) x)

Calls

3 calls:

41.0ms	(+.f64 #s(literal 1 binary64) x)
1.0ms	x
1.0ms	(log.f64 (+.f64 #s(literal 1 binary64) x))

Results

Accuracy	Segments	Branch
68.3%	1	`(+.f64 #s(literal 1 binary64) x)`
68.3%	1	`(log.f64 (+.f64 #s(literal 1 binary64) x))`
68.3%	1	`x`

Compiler

Compiled 8 to 8 computations (0% saved)

bsearch6.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	8.409848237598742e-7	5.725043431299279e-6

Samples

2.0ms

96×

valid

Compiler

Compiled 79 to 90 computations (-13.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-log1p: 1.0ms (122.8% of total)

adjust: 0.0ms (0% of total)

derivations124.0ms (3.9%)

Memory

1.1MiB live, 136.3MiB allocated; 17ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 18 to 16 computations (11.1% saved)

preprocess68.0ms (2.2%)

Memory: 18.7MiB live, 67.0MiB allocated; 14ms collecting garbage
Compiler: Compiled 37 to 29 computations (21.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0%)

sample620.0ms (19.7%)

preprocess695.0ms (22.1%)

series8.0ms (0.2%)

rewrite668.0ms (21.2%)

eval60.0ms (1.9%)

prune13.0ms (0.4%)

series7.0ms (0.2%)

rewrite247.0ms (7.8%)

eval174.0ms (5.5%)

prune14.0ms (0.4%)

series7.0ms (0.2%)

rewrite261.0ms (8.3%)

eval111.0ms (3.5%)

prune11.0ms (0.4%)

regimes6.0ms (0.2%)

regimes6.0ms (0.2%)

regimes44.0ms (1.4%)

bsearch6.0ms (0.2%)

derivations124.0ms (3.9%)

preprocess68.0ms (2.2%)

end0.0ms (0%)

Profiling