Metrics for Hyperbolic arc-cosine

analyze139.0ms (1.4%)

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
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

Operation ival-log, time spent: 17.0ms, 30.0% of total-time

Operation ival-sqrt, time spent: 17.0ms, 30.0% of total-time

Operation ival-mult, time spent: 9.0ms, 16.0% of total-time

Operation ival-sub, time spent: 6.0ms, 11.0% of total-time

Operation ival-add, time spent: 6.0ms, 11.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

sample2.2s (21.2%)

Results

903.0ms	8266×	256	invalid
1.1s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-log, time spent: 316.0ms, 29.0% of total-time

Operation ival-sqrt, time spent: 247.0ms, 23.0% of total-time

Operation ival-add, time spent: 217.0ms, 20.0% of total-time

Operation ival-mult, time spent: 155.0ms, 14.0% of total-time

Operation ival-sub, time spent: 119.0ms, 11.0% of total-time

Operation const, time spent: 29.0ms, 3.0% of total-time

Bogosity

preprocess414.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1306×	`distribute-lft-out`
1242×	`distribute-rgt-out--`
1036×	`unsub-neg`
946×	`sub-neg`
900×	`distribute-rgt-out`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
124	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
1	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0	-	-	`x`
0	-	-	`(*.f64 x x)`
0	-	-	`(-.f64 (*.f64 x x) 1)`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`
0	-	-	`1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	140
1	48	132
2	83	132
3	179	132
4	416	132
5	923	132
6	1685	132
7	3206	132
8	4236	132
9	4890	132
10	5182	132
11	5490	132
12	5640	132
13	5713	132
14	5924	132
15	6691	132
16	6872	132

Stop Event

1×	node limit

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1))))
(log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1))))
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) 1)))))
(neg.f64 (log.f64 (+.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x)))

Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

Operation ival-sqrt, time spent: 21.0ms, 36.0% of total-time

Operation ival-log, time spent: 12.0ms, 20.0% of total-time

Operation ival-sub, time spent: 11.0ms, 19.0% of total-time

Operation ival-add, time spent: 6.0ms, 10.0% of total-time

Operation ival-mult, time spent: 5.0ms, 8.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize114.0ms (1.1%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	99.6%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	54.9%	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 35 to 18 computations (48.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

Operation ival-sqrt, time spent: 61.0ms, 76.0% of total-time

Operation ival-sub, time spent: 6.0ms, 8.0% of total-time

Operation ival-log, time spent: 6.0ms, 8.0% of total-time

Operation ival-mult, time spent: 4.0ms, 5.0% of total-time

Operation ival-add, time spent: 3.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

series18.0ms (0.2%)

Counts

3 → 54

Calls

Call 1

Inputs
#<alt (sqrt.f64 (-.f64 (*.f64 x x) 1))>
#<alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))>
#<alt (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))>

Outputs
#<alt (sqrt.f64 -1)>
#<alt (+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (.f64 5/128 (/.f64 1 (pow.f64 (sqrt.f64 -1) 7))))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))>
#<alt x>
#<alt (.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 5/128 (.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))))))>
#<alt (*.f64 -1 x)>
#<alt (.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))>
#<alt (.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 5/128 (.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))))))>
#<alt (log.f64 (sqrt.f64 -1))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/112 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (.f64 3/40 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 35/1152 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (.f64 5/112 (/.f64 1 (pow.f64 (sqrt.f64 -1) 7))))) (.f64 3/40 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 3/32 (.f64 5/96 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 5/96 (.f64 35/1024 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 35/1024 (.f64 63/2560 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8))))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))))>
#<alt (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6))))))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10)))))))))>
#<alt (sqrt.f64 -1)>
#<alt (+.f64 x (sqrt.f64 -1))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))>
#<alt (+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))>
#<alt (*.f64 2 x)>
#<alt (.f64 x (-.f64 2 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))>
#<alt (.f64 x (-.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))>
#<alt (.f64 x (-.f64 (+.f64 2 (.f64 -1 (/.f64 (+.f64 5/128 (.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))))))>
#<alt (/.f64 1/2 x)>
#<alt (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) x)>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/8 (*.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))) 1/2) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))) (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2))))) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 5/128 (.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))) (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (.f64 1/8 (/.f64 1 (pow.f64 x 2)))))) x))>
#<alt (.f64 -1 (/.f64 (-.f64 (.f64 -1 (/.f64 (+.f64 7/256 (.f64 21/1024 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8))) (+.f64 1/2 (+.f64 (/.f64 1/16 (pow.f64 x 4)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 2))) (*.f64 5/128 (/.f64 1 (pow.f64 x 6))))))) x))>

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	(log (+ x (sqrt (- (* x x) 1))))
3.0ms	x	@	inf	(log (+ x (sqrt (- (* x x) 1))))
2.0ms	x	@	-inf	(log (+ x (sqrt (- (* x x) 1))))
2.0ms	x	@	inf	(+ x (sqrt (- (* x x) 1)))
2.0ms	x	@	0	(sqrt (- (* x x) 1))

rewrite231.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1196×	`unpow-prod-down`
812×	`fma-define`
693×	`log1p-expm1-u`
693×	`expm1-log1p-u`
622×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	79
1	155	79
2	2076	79

Stop Event

1×	node limit

Counts

3 → 206

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Outputs
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1)))) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/6) (sqrt.f64 (fma.f64 x x -1))) 1/2))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/4)) 2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
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(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))

simplify180.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

602×	`times-frac`
526×	`unswap-sqr`
522×	`associate-r`
508×	`fma-neg`
496×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	767	14208
1	1711	13788
2	4971	13047

Stop Event

1×	node limit

Counts

260 → 436

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (.f64 5/128 (/.f64 1 (pow.f64 (sqrt.f64 -1) 7))))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
x
(.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (*.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 5/128 (.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/16 (/.f64 1 (pow.f64 x 6)))))))
(*.f64 -1 x)
(.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 x (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/2 (.f64 1/8 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/8 (.f64 1/16 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 1/16 (.f64 5/128 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))))))
(.f64 -1 (.f64 x (-.f64 (+.f64 1 (.f64 -1 (/.f64 (+.f64 5/128 (.f64 7/256 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8)))) (+.f64 (/.f64 1/8 (pow.f64 x 4)) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 x 2))) (.f64 1/16 (/.f64 1 (pow.f64 x 6))))))))
(log.f64 (sqrt.f64 -1))
(+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1)))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/112 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (.f64 3/40 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 (sqrt.f64 -1)) (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 35/1152 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (.f64 5/112 (/.f64 1 (pow.f64 (sqrt.f64 -1) 7))))) (.f64 3/40 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/6 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (/.f64 1 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 3/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 3/32 (.f64 5/96 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 5/96 (.f64 35/1024 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 6))))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 35/1024 (.f64 63/2560 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 8))))) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 5/96 (/.f64 1 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (*.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 5/96 (/.f64 1 (pow.f64 x 6))))))))
(+.f64 (log.f64 -1/2) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 35/1024 (pow.f64 x 8)) (+.f64 (/.f64 3/32 (pow.f64 x 4)) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 63/2560 (/.f64 1 (pow.f64 x 10)))))))))
(sqrt.f64 -1)
(+.f64 x (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 1/2 (/.f64 x (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))
(+.f64 (sqrt.f64 -1) (.f64 x (+.f64 1 (.f64 x (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))))
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(*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (log.f64 (exp.f64 1)))
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(*.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(*.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (pow.f64 (/.f64 1 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1))
(.f64 (pow.f64 (exp.f64 1) (.f64 2 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(*.f64 (pow.f64 1 1/3) (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) 1/3) (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(.f64 (pow.f64 (.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (pow.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2) (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3) (pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(/.f64 1 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))))
(/.f64 1 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (-.f64 (pow.f64 x 2) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) (neg.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (-.f64 (fma.f64 x x -1) (pow.f64 x 2)) (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(/.f64 (pow.f64 (exp.f64 1) (exp.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (pow.f64 (exp.f64 1) 1))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(/.f64 (pow.f64 (exp.f64 1) (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))) (pow.f64 (exp.f64 1) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1)
(pow.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)
(pow.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) -1)
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(fma.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (*.f64 (pow.f64 x 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 1/2 (sqrt.f64 -1)))))
(fma.f64 (pow.f64 x 2) (+.f64 (*.f64 1/8 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(fma.f64 (pow.f64 x 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (neg.f64 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/2 (sqrt.f64 -1)))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (/.f64 (*.f64 (pow.f64 x 2) 1/16) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (fma.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/2 (sqrt.f64 -1)))))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -5/128 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 7)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) (neg.f64 (/.f64 -1/8 (sqrt.f64 -1)))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (+.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (.f64 5/128 (/.f64 1 (pow.f64 (sqrt.f64 -1) 7))))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (*.f64 1/2 (/.f64 1 (sqrt.f64 -1))))))
(+.f64 (sqrt.f64 -1) (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (-.f64 (*.f64 7/256 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 9))) (/.f64 5/128 (pow.f64 (sqrt.f64 -1) 7))) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (/.f64 1/2 (sqrt.f64 -1)))))
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(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (*.f64 x (sqrt.f64 (fma.f64 x x -1)))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3))) -1)
(.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (/.f64 1 (-.f64 (fma.f64 x x (fma.f64 x x -1)) (.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)) (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) -1)
(/.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1)) (-.f64 x (sqrt.f64 (fma.f64 x x -1))))
(/.f64 -1 (-.f64 (sqrt.f64 (fma.f64 x x -1)) x))
(pow.f64 (pow.f64 (exp.f64 1) 1) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 1) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (fabs.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))) (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))))
(sqrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (exp.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 x) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (exp.f64 (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 x)) (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (exp.f64 x)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 x x -1)))) (+.f64 1 (expm1.f64 x))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(cbrt.f64 (pow.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(expm1.f64 (log1p.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(log1p.f64 (expm1.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (*.f64 (log.f64 (exp.f64 1)) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 x 1 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 x (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 1 (sqrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (fma.f64 x x -1)) 1 x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3))
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6) x)
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)) x)
(+.f64 x (pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4) x)
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (sqrt.f64 (fma.f64 x x -1)))
(+.f64 x (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)) x)
(fma.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (hypot.f64 1 (sqrt.f64 x)) (sqrt.f64 (+.f64 -1 x)) x)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (sqrt.f64 (fma.f64 x x -1)))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 4)) (fabs.f64 (cbrt.f64 x)) (sqrt.f64 (fma.f64 x x -1)))

eval222.0ms (2.2%)

Compiler: Compiled 9641 to 7502 computations (22.2% saved)

prune65.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	434	2	436
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	434	3	437

Accuracy

100.0%

Counts

437 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(+.f64 (log.f64 2) (log.f64 x))
✓	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	98.8%	(log.f64 (+.f64 x x))

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize89.0ms (0.9%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.7%	(+.f64 (log.f64 2) (log.f64 x))
✓	99.6%	(log.f64 (+.f64 x x))

Compiler

Compiled 21 to 11 computations (47.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

Operation ival-log, time spent: 57.0ms, 93.0% of total-time

Operation ival-add, time spent: 3.0ms, 5.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series5.9s (58.3%)

Counts

2 → 30

Calls

Call 1

Inputs
#<alt (log.f64 (+.f64 x x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>

Outputs
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (log.f64 x))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>
#<alt (+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))>

Calls

6 calls:

Time	Variable		Point	Expression
1.9s	x	@	0	(log (+ x x))
1.4s	x	@	-inf	(+ (log 2) (log x))
1.2s	x	@	0	(+ (log 2) (log x))
701.0ms	x	@	-inf	(log (+ x x))
459.0ms	x	@	inf	(log (+ x x))

rewrite86.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1290×	`prod-diff`
916×	`unpow-prod-down`
547×	`log1p-expm1-u`
547×	`expm1-log1p-u`
466×	`log-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	138	22
2	1736	22

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))

Outputs
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (/.f64 0 0)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (/.f64 0 0))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
(+.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (/.f64 1 (fma.f64 x x 0))))
(+.f64 (log.f64 0) (log.f64 (/.f64 1 0)))
(+.f64 (log.f64 (cbrt.f64 2)) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 4) (*.f64 2 (log.f64 x)))
(+.f64 (log.f64 (sqrt.f64 2)) (log.f64 (sqrt.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 0 0) 2)) (log.f64 x))
(+.f64 (log.f64 (*.f64 2 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(+.f64 (log.f64 (*.f64 2 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 2)) (log.f64 (pow.f64 (fma.f64 x x 0) 2)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (.f64 0 (.f64 2 (pow.f64 x 3)))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) (/.f64 0 0))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (/.f64 0 0))) (log.f64 0))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 2 (log.f64 (/.f64 0 0)))
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 3 (log.f64 (/.f64 0 0)))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (/.f64 1 (log.f64 (/.f64 2 x))) 1))
(*.f64 1/2 (log.f64 (/.f64 0 0)))
(*.f64 1/3 (log.f64 (/.f64 0 0)))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 0 0)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 0 0)) (cbrt.f64 (log.f64 (/.f64 0 0)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) -1)
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(neg.f64 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (fma.f64 x 2 -1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 0 0)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 0 0))) 1) 1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(-.f64 0 (log.f64 (/.f64 0 0)))
(-.f64 0 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (/.f64 0 0)))) 1)
(-.f64 (log.f64 (*.f64 2 (pow.f64 x 3))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 0) (log.f64 0))
(-.f64 (/.f64 (pow.f64 (log.f64 2) 2) (log.f64 (/.f64 2 x))) (/.f64 (pow.f64 (log.f64 x) 2) (log.f64 (/.f64 2 x))))
(-.f64 (log.f64 (cbrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (cbrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (sqrt.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (sqrt.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (pow.f64 (*.f64 2 (pow.f64 x 3)) 2)) (log.f64 (pow.f64 (fma.f64 x x 0) 2)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (.f64 0 (.f64 2 (pow.f64 x 3)))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) (/.f64 0 0))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (/.f64 0 0))) (log.f64 0))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 2 (log.f64 (/.f64 0 0)))
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 3 (log.f64 (/.f64 0 0)))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (/.f64 1 (log.f64 (/.f64 2 x))) 1))
(*.f64 1/2 (log.f64 (/.f64 0 0)))
(*.f64 1/3 (log.f64 (/.f64 0 0)))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 0 0)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 0 0)) (cbrt.f64 (log.f64 (/.f64 0 0)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2) 1/2)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) -1)
(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) -1)
(neg.f64 (log.f64 (/.f64 0 0)))
(neg.f64 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(log.f64 (/.f64 0 0))
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (fma.f64 x 2 -1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 0 0)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 0 0))) 1) 1))
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

54×	`*-commutative`
42×	`+-commutative`
40×	`fma-undefine`
38×	`sub-neg`
24×	`unpow2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	274	5879
1	569	5879

Stop Event

1×

unsound

Counts

210 → 141

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 -1 x)))))
(+.f64 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
(+.f64 (log.f64 (/.f64 0 0)) 0)
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 (*.f64 x (/.f64 0 0))))
(+.f64 (log.f64 x) (log.f64 2))
(+.f64 0 (log.f64 (/.f64 0 0)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (log.f64 (+.f64 (cbrt.f64 x) (cbrt.f64 x))))
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (+.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 x))))
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(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
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(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) 0)) (log.f64 (*.f64 (fma.f64 x x 0) 0)))
(-.f64 (log.f64 (.f64 0 (.f64 2 (pow.f64 x 3)))) (log.f64 (*.f64 0 (fma.f64 x x 0))))
(-.f64 (log.f64 (neg.f64 (*.f64 2 (pow.f64 x 3)))) (log.f64 (neg.f64 (fma.f64 x x 0))))
(-.f64 (log.f64 (.f64 (/.f64 0 0) (.f64 2 (pow.f64 x 3)))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (.f64 (.f64 2 (pow.f64 x 3)) (/.f64 0 0))) (log.f64 (fma.f64 x x 0)))
(-.f64 (log.f64 (*.f64 0 (/.f64 0 0))) (log.f64 0))
(*.f64 (log.f64 (/.f64 0 0)) 1)
(*.f64 2 (log.f64 (/.f64 0 0)))
(*.f64 1 (log.f64 (/.f64 0 0)))
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 3 (log.f64 (/.f64 0 0)))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
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(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
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(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) -1)
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(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
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(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(log1p.f64 (fma.f64 x 2 -1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
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(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))

Outputs
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (log.f64 x))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 2) (neg.f64 (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
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(*.f64 (log.f64 (/.f64 0 0)) 1)
(log.f64 0)
(*.f64 2 (log.f64 (/.f64 0 0)))
0
(*.f64 1 (log.f64 (/.f64 0 0)))
(log.f64 0)
(*.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2))
(log.f64 0)
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))))
(log.f64 0)
(*.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))))
(log.f64 0)
(*.f64 3 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 0) 3)
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 0 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) 1))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 0 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 0 (log.f64 (/.f64 2 x))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (pow.f64 (/.f64 1 (log.f64 (/.f64 2 x))) 1))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 0 (log.f64 (/.f64 2 x))))
(*.f64 1/2 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 0) 1/2)
(*.f64 1/3 (log.f64 (/.f64 0 0)))
(*.f64 (log.f64 0) 1/3)
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 0 0)))
(log.f64 0)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 0 0))))
(*.f64 (cbrt.f64 (log.f64 0)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 0))) 2) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 0))) 6)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 0) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 0) 3))))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 0 0)) (cbrt.f64 (log.f64 (/.f64 0 0)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 0))) (cbrt.f64 (pow.f64 (.f64 (log.f64 0) (cbrt.f64 (log.f64 0))) 2)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 0) 5/2)) (cbrt.f64 (sqrt.f64 (log.f64 0))))
(/.f64 1 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))))
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 0 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 1 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))))
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 0 (log.f64 (/.f64 2 x))))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)))
(/.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 x) 2) (-.f64 (pow.f64 (log.f64 2) 2) (*.f64 (log.f64 2) (log.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (log.f64 (/.f64 2 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) (neg.f64 (log.f64 (/.f64 2 x))))
(/.f64 (-.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 2) 2)) (log.f64 (/.f64 x 2)))
(pow.f64 (log.f64 (/.f64 0 0)) 1)
(log.f64 0)
(pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 3)
(log.f64 0)
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2) 1/2)
(sqrt.f64 (pow.f64 (log.f64 0) 2))
(pow.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3) 1/3)
(log.f64 0)
(pow.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) 2)
(log.f64 0)
(pow.f64 (/.f64 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2)) (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3))) -1)
(*.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 0 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))))
(pow.f64 (/.f64 (log.f64 (/.f64 2 x)) (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2))) -1)
(*.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 0 (log.f64 (/.f64 2 x))))
(neg.f64 (log.f64 (/.f64 0 0)))
(log.f64 0)
(neg.f64 (log.f64 (/.f64 (fma.f64 x x 0) (*.f64 2 (pow.f64 x 3)))))
(sqrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 2))
(sqrt.f64 (pow.f64 (log.f64 0) 2))
(log.f64 (/.f64 0 0))
(log.f64 0)
(log.f64 (+.f64 1 (fma.f64 x 2 -1)))
(log1p.f64 (fma.f64 x 2 -1))
(log.f64 (*.f64 (/.f64 0 0) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (+.f64 0 (*.f64 0 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (/.f64 0 0)))
(log.f64 (+.f64 0 (*.f64 0 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 1 (fma.f64 x 2 -1)) (+.f64 1 (fma.f64 x 2 -1))))
(log.f64 (*.f64 (+.f64 0 (fma.f64 x 2 -1)) (+.f64 0 (fma.f64 x 2 -1))))
(log.f64 (*.f64 2 (+.f64 1 (-.f64 x 1))))
(log.f64 (+.f64 0 (*.f64 2 (+.f64 x -1))))
(log.f64 (*.f64 (+.f64 1 (-.f64 x 1)) 2))
(log.f64 (+.f64 0 (*.f64 2 (+.f64 x -1))))
(cbrt.f64 (pow.f64 (log.f64 (/.f64 0 0)) 3))
(log.f64 0)
(expm1.f64 (log1p.f64 (log.f64 (/.f64 0 0))))
(+.f64 (log.f64 0) -1)
(log1p.f64 (fma.f64 x 2 -1))
(exp.f64 (log.f64 (log.f64 (/.f64 0 0))))
(log.f64 0)
(exp.f64 (*.f64 (log.f64 (log.f64 (/.f64 0 0))) 1))
(log.f64 0)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (/.f64 0 0)))) 3))
(log.f64 0)
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 (/.f64 0 0)))) 1/3))
(exp.f64 (.f64 1/3 (.f64 3 (log.f64 (log.f64 0)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (/.f64 0 0)))) 2))
(log.f64 0)
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 (/.f64 0 0))) 1) 1))
(log.f64 0)
(fma.f64 (log.f64 (/.f64 0 0)) 1 (log.f64 (/.f64 0 0)))
0
(fma.f64 (log.f64 2) 1 (log.f64 x))
(fma.f64 (log.f64 2) 0 (log.f64 x))
(fma.f64 (log.f64 x) 1 (log.f64 2))
(fma.f64 (log.f64 x) 0 (log.f64 2))
(fma.f64 1 (log.f64 (/.f64 0 0)) (log.f64 (/.f64 0 0)))
0
(fma.f64 1 (log.f64 2) (log.f64 x))
(fma.f64 0 (log.f64 2) (log.f64 x))
(fma.f64 1 (log.f64 x) (log.f64 2))
(fma.f64 0 (log.f64 x) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 2)) (pow.f64 (cbrt.f64 (log.f64 2)) 2) (log.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 2)) 2) (cbrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 2))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (log.f64 (/.f64 0 0)))
0
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 0 0))) 2) (cbrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
0
(fma.f64 (sqrt.f64 (log.f64 2)) (sqrt.f64 (log.f64 2)) (log.f64 x))
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 2))
(fma.f64 (sqrt.f64 (log.f64 (/.f64 0 0))) (sqrt.f64 (log.f64 (/.f64 0 0))) (log.f64 (/.f64 0 0)))
0
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 (/.f64 0 0)))
(fma.f64 (+.f64 (pow.f64 (log.f64 2) 3) (pow.f64 (log.f64 x) 3)) (/.f64 0 (fma.f64 (log.f64 x) (log.f64 (/.f64 x 2)) (pow.f64 (log.f64 2) 2))) (log.f64 0))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (log.f64 (/.f64 2 x))) (log.f64 (/.f64 0 0)))
(fma.f64 (-.f64 (pow.f64 (log.f64 2) 2) (pow.f64 (log.f64 x) 2)) (/.f64 0 (log.f64 (/.f64 2 x))) (log.f64 0))

eval42.0ms (0.4%)

Compiler: Compiled 1536 to 1288 computations (16.1% saved)

prune18.0ms (0.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	140	4	144

Accuracy

100.0%

Counts

144 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(+.f64 (log.f64 2) (log.f64 x))
✓	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.8%	(log.f64 (+.f64 x x))
▶	3.1%	0

Compiler

Compiled 23 to 17 computations (26.1% saved)

localize9.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)
Precisions: Click to see histograms. Total time spent on operations: 0.0ms
Operation const, time spent: 0.0ms, 0.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Accuracy

100.0%

Counts

4 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(+.f64 (log.f64 2) (log.f64 x))
✓	53.1%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	98.8%	(log.f64 (+.f64 x x))
✓	3.1%	0

Compiler

Compiled 43 to 31 computations (27.9% saved)

regimes11.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(+.f64 (log.f64 2) (log.f64 x))

Calls

3 calls:

4.0ms	x
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
99.0%	1	`x`
99.0%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.0%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
0
(log.f64 (+.f64 x x))

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
98.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
0

Outputs
0

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
3.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	36
1	14	36

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
0

Outputs
(+.f64 (log.f64 2) (log.f64 x))
(log.f64 (+.f64 x x))
0

Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness355.0ms (3.5%)

Rules

1290×	`prod-diff`
916×	`unpow-prod-down`
602×	`times-frac`
547×	`log1p-expm1-u`
547×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	274	5879
1	569	5879
0	767	14208
1	1711	13788
2	4971	13047
0	12	28
1	138	22
2	1736	22

Stop Event

1×	node limit
1×	node limit
1×	unsound

Compiler

Compiled 186 to 60 computations (67.7% saved)

end0.0ms (0%)

preprocess30.0ms (0.3%)

Compiler: Compiled 42 to 30 computations (28.6% saved)

analyze139.0ms (1.4%)

sample2.2s (21.2%)

preprocess414.0ms (4.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize114.0ms (1.1%)

series18.0ms (0.2%)

rewrite231.0ms (2.3%)

simplify180.0ms (1.8%)

eval222.0ms (2.2%)

prune65.0ms (0.6%)

localize89.0ms (0.9%)

series5.9s (58.3%)

rewrite86.0ms (0.8%)

simplify56.0ms (0.5%)

eval42.0ms (0.4%)

prune18.0ms (0.2%)

localize9.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0%)

regimes11.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

simplify3.0ms (0%)

soundness355.0ms (3.5%)

end0.0ms (0%)

preprocess30.0ms (0.3%)

Profiling