Metrics for Rust f64::acosh

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions

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

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival->=, time spent: 0.0ms, 0.0% of total-time

Operation ival-acosh, time spent: 0.0ms, 0.0% of total-time

sample921.0ms (29.6%)

Results

882.0ms	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 336.0ms

Operation ival-acosh, time spent: 272.0ms, 81.0% of total-time

Operation ival->=, time spent: 54.0ms, 16.0% of total-time

Operation const, time spent: 9.0ms, 3.0% of total-time

Bogosity

preprocess407.0ms (13.1%)

Algorithm

1×	egg-herbie

Rules

1036×	`sub-neg`
986×	`unsub-neg`
832×	`fma-define`
818×	`distribute-neg-in`
778×	`distribute-rgt-out`

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
118	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) 1))`
0	-	-	`x`
0	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
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: 0 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	34	68
2	42	68
3	60	68
4	103	68
5	189	68
6	515	68
7	1229	68
8	3016	68
9	4410	68
10	5531	68
11	5981	68
12	6178	68
13	6251	68
14	6330	68
15	7033	68
16	7856	68

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 80 to 43 computations (46.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

Operation ival-sqrt, time spent: 20.0ms, 35.0% of total-time

Operation ival-sub, time spent: 12.0ms, 21.0% of total-time

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

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

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

Operation const, time spent: 2.0ms, 4.0% 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
▶	55.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize70.0ms (2.3%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	57.2%	(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: 39.0ms

Operation ival-sqrt, time spent: 12.0ms, 31.0% of total-time

Operation ival-mult, time spent: 10.0ms, 26.0% of total-time

Operation ival-log, time spent: 7.0ms, 18.0% of total-time

Operation ival-sub, time spent: 6.0ms, 15.0% of total-time

Operation ival-add, time spent: 3.0ms, 8.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

series6.0ms (0.2%)

Counts

2 → 24

Calls

Call 1

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

Calls

6 calls:

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

rewrite222.0ms (7.2%)

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	51
1	155	51
2	2076	51

Stop Event

1×	node limit

Counts

2 → 113

Calls

Call 1

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

simplify133.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1638×	`fma-define`
1186×	`fma-neg`
708×	`*-commutative`
566×	`times-frac`
494×	`sub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	422	6181
1	870	6015
2	2364	5575
3	6429	5498

Stop Event

1×	node limit

Counts

137 → 225

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

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))
(fma.f64 (pow.f64 x 2) (/.f64 1/2 (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) (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 (.f64 1/16 (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 (*.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))
(fma.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 4) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (sqrt.f64 -1)) (sqrt.f64 -1)))
(fma.f64 (fma.f64 (pow.f64 x 2) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 4) (fma.f64 (pow.f64 x 2) (/.f64 1/2 (sqrt.f64 -1)) (sqrt.f64 -1)))
x
(.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (-.f64 1 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (/.f64 -1/2 (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 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 x (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2))))
(fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 -1/8 (pow.f64 x 2))) (pow.f64 x 2)) x)
(.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 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 1/2 (pow.f64 x 2)))))
(*.f64 x (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 2)))))
(*.f64 -1 x)
(neg.f64 x)
(.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (-.f64 1 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 (+.f64 1 (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 1 (/.f64 1/2 (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 (neg.f64 x) (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2))) (neg.f64 x))
(-.f64 (/.f64 (*.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) x) (pow.f64 x 2)) x)
(.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 (neg.f64 x) (+.f64 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 1/2 (pow.f64 x 2)))))
(*.f64 (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2))) (neg.f64 x))
(*.f64 x (neg.f64 (+.f64 1 (+.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 2))))))
(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 (fma.f64 -1/6 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 3)) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 x (+.f64 (/.f64 1 (sqrt.f64 -1)) (*.f64 1/6 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (log.f64 (sqrt.f64 -1)))
(fma.f64 x (fma.f64 1/6 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (/.f64 1 (sqrt.f64 -1))) (log.f64 (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 (fma.f64 (pow.f64 x 2) (fma.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5)) (neg.f64 (/.f64 1/6 (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 1 (sqrt.f64 -1)))))
(fma.f64 x (fma.f64 (pow.f64 x 2) (fma.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5)) 3/40 (neg.f64 (/.f64 -1/6 (sqrt.f64 -1)))) (/.f64 1 (sqrt.f64 -1))) (log.f64 (sqrt.f64 -1)))
(fma.f64 (fma.f64 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5)) 3/40 (/.f64 1/6 (sqrt.f64 -1))) (pow.f64 x 3) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(fma.f64 (fma.f64 (pow.f64 x 2) (/.f64 3/40 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/6 (sqrt.f64 -1))) (pow.f64 x 3) (+.f64 (log.f64 (sqrt.f64 -1)) (/.f64 x (sqrt.f64 -1))))
(+.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) (log.f64 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 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 -1/4 (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 (log.f64 2) (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 1/4 (/.f64 3/32 (pow.f64 x 2))) (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 (+.f64 1/4 (/.f64 3/32 (pow.f64 x 2))) (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (log.f64 x) (/.f64 (+.f64 -1/4 (/.f64 -3/32 (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 (log.f64 2) (-.f64 (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 3/32 (/.f64 5/96 (pow.f64 x 2))) (pow.f64 x 4)))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 3/32 (/.f64 5/96 (pow.f64 x 2))) (pow.f64 x 4))) (+.f64 (log.f64 2) (/.f64 -1/4 (pow.f64 x 2))))
(-.f64 (log.f64 x) (-.f64 (/.f64 (+.f64 3/32 (/.f64 5/96 (pow.f64 x 2))) (pow.f64 x 4)) (+.f64 (log.f64 2) (/.f64 -1/4 (pow.f64 x 2)))))
(+.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 (/.f64 1/4 (pow.f64 x 2)) (log.f64 (/.f64 -1 x))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))))
(+.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 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))))
(+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (/.f64 3/32 (pow.f64 x 4)))))
(+.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 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 5/96 (pow.f64 x 6)))))
(+.f64 (log.f64 -1/2) (+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 3/32 (pow.f64 x 4)))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 (+.f64 (/.f64 1/4 (pow.f64 x 2)) (/.f64 3/32 (pow.f64 x 4))) (+.f64 (+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x))) (/.f64 5/96 (pow.f64 x 6))))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(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 2 (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)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) (log.f64 (exp.f64 1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(.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 (pow.f64 (fma.f64 x x -1) 1/6) (sqrt.f64 (.f64 (sqrt.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 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.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))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (+.f64 x -1) 1/2) (pow.f64 (+.f64 x 1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (fabs.f64 (cbrt.f64 (fma.f64 x x -1))) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x x -1))) 3)
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
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(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(.f64 (pow.f64 (.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))))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) 1/3) (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(.f64 (pow.f64 (.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)))))) 1/3) (pow.f64 (*.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)))))) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 1/3) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2) (pow.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 (.f64 (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))))) 7))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 8)))
(.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 1/3) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1/3))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2) (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))))
(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 1)
(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))))) 3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3) 1/3)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 2)
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(neg.f64 (log.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)))))
(neg.f64 (log.f64 (/.f64 (+.f64 (fma.f64 x x -1) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x -1))))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (+.f64 -1 (*.f64 x (+.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) x))) (+.f64 (pow.f64 (fma.f64 x x -1) 3/2) (pow.f64 x 3)))))
(neg.f64 (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1))) (-.f64 (pow.f64 x 2) (fma.f64 x x -1)))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (fma.f64 x x -1))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x -1)))))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))) 1))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))) 3)) 1/3))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1)))))) 2))
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))))

eval93.0ms (3%)

Compiler: Compiled 4219 to 3216 computations (23.8% saved)

prune81.0ms (2.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	223	2	225
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	223	3	226

Accuracy

100.0%

Counts

226 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	55.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
✓	55.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	99.2%	(log.f64 (+.f64 x x))

Compiler

Compiled 26 to 18 computations (30.8% saved)

localize114.0ms (3.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	57.2%	(sqrt.f64 (fma.f64 x x -1))

Compiler

Compiled 48 to 28 computations (41.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

Operation composed, time spent: 36.0ms, 36.0% of total-time

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

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

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

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

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

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

series1.0ms (0%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (sqrt.f64 (fma.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 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 -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))))))>

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(sqrt (+ (* x x) -1))
0.0ms	x	@	-inf	(sqrt (+ (* x x) -1))
0.0ms	x	@	inf	(sqrt (+ (* x x) -1))

rewrite169.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`associate-r`
552×	`associate-l`
462×	`unpow-prod-down`
403×	`log1p-expm1-u`
254×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	67	19
2	673	19
3	7824	19

Stop Event

1×	node limit

Counts

1 → 61

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 x x -1))

Outputs
(+.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) -1)
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (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 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(.f64 (pow.f64 (fma.f64 x x -1) 1/8) (.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/8)) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 -1 (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 1))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fabs.f64 (-.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 3/2) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))

simplify80.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1070×	`times-frac`
988×	`associate-+l-`
904×	`associate-+r-`
654×	`fma-neg`
582×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	2997
1	445	2956
2	1097	2702
3	3927	2661

Stop Event

1×	node limit

Counts

73 → 129

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))))))
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 -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 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) -1)
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (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 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 1)
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(.f64 (pow.f64 (fma.f64 x x -1) 1/8) (.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/8)) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 -1 (pow.f64 x 2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 1))
(pow.f64 (fma.f64 x x -1) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(fabs.f64 (-.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 3/2) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))

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))
(fma.f64 (pow.f64 x 2) (/.f64 1/2 (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) (sqrt.f64 -1)) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(+.f64 (sqrt.f64 -1) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)) (+.f64 1/2 (.f64 (pow.f64 x 2) 1/8))))
(+.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 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5))) (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
(fma.f64 (fma.f64 1/16 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/8 (sqrt.f64 -1))) (pow.f64 x 4) (fma.f64 1/2 (/.f64 (pow.f64 x 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) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/8 (sqrt.f64 -1))) (/.f64 1/2 (sqrt.f64 -1))) (sqrt.f64 -1))
x
(.f64 x (-.f64 1 (.f64 1/2 (/.f64 1 (pow.f64 x 2)))))
(*.f64 x (-.f64 1 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (/.f64 -1/2 (pow.f64 x 2))))
(+.f64 x (*.f64 1 (/.f64 -1/2 x)))
(.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 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 x (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2))))
(fma.f64 x (/.f64 (+.f64 -1/2 (/.f64 -1/8 (pow.f64 x 2))) (pow.f64 x 2)) x)
(+.f64 x (/.f64 (-.f64 -1/2 (/.f64 1/8 (pow.f64 x 2))) x))
(.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 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 1/2 (pow.f64 x 2)))))
(*.f64 x (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2))))
(*.f64 x (+.f64 1 (+.f64 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4)) (/.f64 -1/2 (pow.f64 x 2)))))
(fma.f64 x (+.f64 1 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4))) (*.f64 1 (/.f64 -1/2 x)))
(*.f64 -1 x)
(neg.f64 x)
(.f64 -1 (.f64 x (-.f64 1 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))))
(*.f64 (neg.f64 x) (-.f64 1 (/.f64 1/2 (pow.f64 x 2))))
(*.f64 x (neg.f64 (-.f64 1 (/.f64 1/2 (pow.f64 x 2)))))
(*.f64 x (+.f64 -1 (/.f64 1/2 (pow.f64 x 2))))
(-.f64 (neg.f64 x) (*.f64 1 (/.f64 -1/2 x)))
(.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 (neg.f64 x) (+.f64 1 (neg.f64 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 x (neg.f64 (-.f64 1 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2)))))
(*.f64 x (+.f64 -1 (/.f64 (+.f64 1/2 (/.f64 1/8 (pow.f64 x 2))) (pow.f64 x 2))))
(-.f64 (neg.f64 x) (/.f64 (-.f64 -1/2 (/.f64 1/8 (pow.f64 x 2))) x))
(.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 (neg.f64 x) (+.f64 1 (-.f64 (neg.f64 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 1/2 (pow.f64 x 2)))))
(*.f64 x (neg.f64 (+.f64 (-.f64 1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/2 (pow.f64 x 2)))))
(*.f64 x (+.f64 (/.f64 1/2 (pow.f64 x 2)) (neg.f64 (+.f64 1 (/.f64 (+.f64 -1/8 (/.f64 -1/16 (pow.f64 x 2))) (pow.f64 x 4))))))
(*.f64 x (+.f64 (/.f64 1/2 (pow.f64 x 2)) (+.f64 -1 (/.f64 (+.f64 1/8 (/.f64 1/16 (pow.f64 x 2))) (pow.f64 x 4)))))
(+.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) -1)
(sqrt.f64 (fma.f64 x x -1))
(+.f64 0 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (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 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))))
(-.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(*.f64 1 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (fma.f64 x x -1) 1/6))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/4))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (fma.f64 x x -1))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))))
(.f64 (cbrt.f64 (fma.f64 x x -1)) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 4))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (cbrt.f64 (fma.f64 x x -1))))
(.f64 (cbrt.f64 (fma.f64 x x -1)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(.f64 (pow.f64 (fma.f64 x x -1) 1/8) (.f64 (pow.f64 (fma.f64 x x -1) 1/8) (pow.f64 (fma.f64 x x -1) 1/4)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 3/4) 1/2) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (pow.f64 (+.f64 x 1) 1/2) (pow.f64 (+.f64 x -1) 1/2))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/6) 1/2) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 4)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x -1) 5/4) 1/3) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(.f64 (pow.f64 (fma.f64 x x -1) 1/4) (.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)))
(.f64 (pow.f64 (fma.f64 x x -1) 1/6) (.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (fma.f64 x x -1) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 5/4)))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/4) (pow.f64 (fma.f64 x x -1) 1/8)) (pow.f64 (fma.f64 x x -1) 1/8))
(sqrt.f64 (fma.f64 x x -1))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)) (pow.f64 (fma.f64 x x -1) 1/8))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/8) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 3/4)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 x -1)))
(*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (+.f64 -1 x)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (sqrt.f64 (pow.f64 (fma.f64 x x -1) 5/6)))
(.f64 (.f64 (pow.f64 (fma.f64 x x -1) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))))
(.f64 (cbrt.f64 (fma.f64 x x -1)) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x -1) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x x -1))) 4))
(.f64 (.f64 (cbrt.f64 (fma.f64 x x -1)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6))
(.f64 (cbrt.f64 (fma.f64 x x -1)) (.f64 (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6) (pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1/6)))
(*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (sqrt.f64 (fma.f64 x x -1))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 4) -1)) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (sqrt.f64 (fma.f64 x x 1)))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 4))) (hypot.f64 1 x))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x 4) 1) (*.f64 -1 (pow.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (-.f64 (+.f64 1 (pow.f64 x 4)) (neg.f64 (pow.f64 x 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 6))) (sqrt.f64 (+.f64 (pow.f64 x 4) (fma.f64 x x 1))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) (+.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 3) -1) (fma.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 3)) (fma.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) (+.f64 2 (sqrt.f64 (fma.f64 x x -1)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 3)) (+.f64 1 (*.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) (+.f64 2 (sqrt.f64 (fma.f64 x x -1))))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) 3)) (fma.f64 (+.f64 1 (sqrt.f64 (fma.f64 x x -1))) (+.f64 2 (sqrt.f64 (fma.f64 x x -1))) 1))
(/.f64 (-.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)) 1) (+.f64 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1) 1))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (fma.f64 x x -1) 1/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (fma.f64 x x -1)) 1)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (cbrt.f64 (fma.f64 x x -1)) 3/2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3/2) 1/3)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 2) 1/4)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (fma.f64 x x -1) 3) 1/6)
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/4) 2)
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(pow.f64 (exp.f64 1/2) (log.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))) (sqrt.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1)))))
(fabs.f64 (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(fabs.f64 (-.f64 1 (+.f64 (sqrt.f64 (fma.f64 x x -1)) 1)))
(sqrt.f64 (fma.f64 x x -1))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (fma.f64 x x -1) 3/2))
(sqrt.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x -1))))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x -1) 1/6)) 3))
(*.f64 (pow.f64 (fma.f64 x x -1) 1/6) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (pow.f64 (fma.f64 x x -1) 1/6) 3)
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 x x -1)) 3/2) 1/3))
(sqrt.f64 (fma.f64 x x -1))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (fma.f64 x x -1))) 2))
(sqrt.f64 (fma.f64 x x -1))

eval159.0ms (5.1%)

Compiler: Compiled 2618 to 2054 computations (21.5% saved)

prune18.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	128	4	132

Accuracy

100.0%

Counts

132 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))
✓	55.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
✓	55.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	99.2%	(log.f64 (+.f64 x x))

Compiler

Compiled 39 to 28 computations (28.2% saved)

localize97.0ms (3.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))

Compiler

Compiled 52 to 38 computations (26.9% saved)

Precisions

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

Operation ival-div, time spent: 17.0ms, 29.0% of total-time

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

Operation ival-mult, time spent: 10.0ms, 17.0% of total-time

Operation composed, time spent: 9.0ms, 15.0% of total-time

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

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

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

series3.0ms (0.1%)

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))>

Outputs
#<alt (+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 (pow.f64 x 2) (-.f64 (*.f64 -8 (pow.f64 x 2)) 4))))>
#<alt (+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -64/3 (pow.f64 x 2)) 8)) 4))))>
#<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 1/32 (/.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 1/32 (.f64 1/192 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))>
#<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 1/32 (/.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 1/32 (.f64 1/192 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))>

Calls

3 calls:

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

rewrite95.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`fma-define`
995×	`log1p-expm1-u`
995×	`expm1-log1p-u`
654×	`fma-neg`
284×	`log1p-undefine`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	197	29
2	2725	25

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))

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

simplify79.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1752×	`fma-define`
1306×	`fma-neg`
1232×	`sub-neg`
834×	`cancel-sign-sub-inv`
784×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	1384
1	279	1302
2	744	1284
3	2206	1280
4	6470	1280

Stop Event

1×	node limit

Counts

33 → 75

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 (pow.f64 x 2) (-.f64 (*.f64 -8 (pow.f64 x 2)) 4))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -64/3 (pow.f64 x 2)) 8)) 4))))
(+.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 1/32 (/.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 1/32 (.f64 1/192 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.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 1/32 (/.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 1/32 (.f64 1/192 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (-.f64 (-.f64 x x) (/.f64 -1/2 x))))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(-.f64 (log.f64 -1/2) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (fma.f64 -4 (pow.f64 x 2) (neg.f64 (log.f64 x))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 -4 (pow.f64 x 2)) (log.f64 x)))
(-.f64 (fma.f64 -4 (pow.f64 x 2) (log.f64 -1/2)) (log.f64 x))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 (pow.f64 x 2) (-.f64 (*.f64 -8 (pow.f64 x 2)) 4))))
(+.f64 (log.f64 -1/2) (fma.f64 -1 (log.f64 x) (*.f64 (pow.f64 x 2) (fma.f64 -8 (pow.f64 x 2) -4))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -8 -4)) (log.f64 x)))
(-.f64 (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -8 -4) (log.f64 -1/2)) (log.f64 x))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -8 -4) (-.f64 (log.f64 -1/2) (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 (pow.f64 x 2) (-.f64 (.f64 (pow.f64 x 2) (-.f64 (.f64 -64/3 (pow.f64 x 2)) 8)) 4))))
(+.f64 (log.f64 -1/2) (fma.f64 -1 (log.f64 x) (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 -64/3 (pow.f64 x 2) -8) -4))))
(+.f64 (log.f64 -1/2) (-.f64 (*.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -64/3 -8) -4)) (log.f64 x)))
(fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) (fma.f64 (pow.f64 x 2) -64/3 -8) -4) (-.f64 (log.f64 -1/2) (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 x) (log.f64 2))
(-.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 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (-.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 1/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(+.f64 (log.f64 2) (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 1/4 (/.f64 1/32 (pow.f64 x 2))) (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (log.f64 x) (/.f64 (+.f64 1/4 (/.f64 1/32 (pow.f64 x 2))) (pow.f64 x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 2) (/.f64 (+.f64 -1/4 (/.f64 -1/32 (pow.f64 x 2))) (pow.f64 x 2))))
(-.f64 (log.f64 x) (-.f64 (/.f64 (+.f64 1/4 (/.f64 1/32 (pow.f64 x 2))) (pow.f64 x 2)) (log.f64 2)))
(-.f64 (+.f64 (log.f64 2) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 -1 (/.f64 (+.f64 1/32 (.f64 1/192 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (*.f64 -1 (+.f64 (neg.f64 (log.f64 x)) (/.f64 (+.f64 1/32 (/.f64 1/192 (pow.f64 x 2))) (pow.f64 x 4)))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 1/32 (/.f64 1/192 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 1/32 (/.f64 1/192 (pow.f64 x 2))) (pow.f64 x 4))) (-.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (log.f64 x) (-.f64 (-.f64 (log.f64 2) (/.f64 1/4 (pow.f64 x 2))) (/.f64 (+.f64 1/32 (/.f64 1/192 (pow.f64 x 2))) (pow.f64 x 4))))
(+.f64 (log.f64 -2) (*.f64 -1 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 -2) (neg.f64 (log.f64 (/.f64 -1 x))))
(-.f64 (log.f64 -2) (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 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (pow.f64 x 2)))
(+.f64 (log.f64 -2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 1/4 (*.f64 1/32 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (neg.f64 (/.f64 (+.f64 1/4 (/.f64 1/32 (pow.f64 x 2))) (pow.f64 x 2)))))
(-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 1/4 (/.f64 1/32 (pow.f64 x 2))) (pow.f64 x 2)))
(+.f64 (/.f64 (-.f64 -1/4 (/.f64 1/32 (pow.f64 x 2))) (pow.f64 x 2)) (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))))
(-.f64 (+.f64 (log.f64 -2) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (+.f64 1/32 (.f64 1/192 (/.f64 1 (pow.f64 x 2)))) (pow.f64 x 4))))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (+.f64 1/32 (/.f64 1/192 (pow.f64 x 2))) (pow.f64 x 4)))) (/.f64 1/4 (pow.f64 x 2))))
(+.f64 (-.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 (+.f64 1/32 (/.f64 1/192 (pow.f64 x 2))) (pow.f64 x 4))) (/.f64 -1/4 (pow.f64 x 2)))
(-.f64 (+.f64 (-.f64 (log.f64 -2) (log.f64 (/.f64 -1 x))) (/.f64 -1/4 (pow.f64 x 2))) (/.f64 (+.f64 1/32 (/.f64 1/192 (pow.f64 x 2))) (pow.f64 x 4)))
(+.f64 0 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2)) (log.f64 (cbrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(+.f64 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(*.f64 2 (log.f64 (sqrt.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (-.f64 (+.f64 x (/.f64 -1/2 x)) x) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 x (-.f64 (/.f64 -1/2 x) x)) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (+.f64 x (/.f64 -1/2 x)) (+.f64 (/.f64 -1/2 x) 0) (pow.f64 x 2))))
(-.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (/.f64 -1/2 x)) 3) (pow.f64 x 3))) (log.f64 (fma.f64 (/.f64 -1/2 x) (+.f64 x (/.f64 -1/2 x)) (pow.f64 x 2))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (-.f64 (-.f64 x x) (/.f64 -1/2 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (-.f64 0 (/.f64 -1/2 x))))
(-.f64 (log.f64 (-.f64 (pow.f64 x 2) (pow.f64 (+.f64 x (/.f64 -1/2 x)) 2))) (log.f64 (/.f64 1/2 x)))
(-.f64 (log.f64 (*.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/2 x)))) (log.f64 (/.f64 1/2 x)))
(*.f64 1 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2) (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(*.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 1)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3) 1/3)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(pow.f64 (sqrt.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 2)
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(sqrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 2))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(cbrt.f64 (pow.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x))) 3))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(expm1.f64 (log1p.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))) 1))
(log.f64 (fma.f64 x 2 (/.f64 -1/2 x)))

eval32.0ms (1%)

Compiler: Compiled 1215 to 956 computations (21.3% saved)

prune11.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	75	4	79

Accuracy

100.0%

Counts

79 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))
✓	55.4%	(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))
✓	55.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	99.2%	(log.f64 (+.f64 x x))

Compiler

Compiled 75 to 53 computations (29.3% saved)

regimes24.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log1p.f64 (-.f64 (+.f64 x (sqrt.f64 (fma.f64 x x -1))) 1))

Outputs
(log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))

Calls

3 calls:

16.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
3.0ms	x
3.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
99.6%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes5.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
4×	`unsub-neg`
4×	`sub-neg`
4×	`*-commutative`
4×	`*-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	55
1	27	55
2	31	55
3	34	55
4	37	55
5	40	55

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))
(log.f64 (+.f64 x x))

Outputs
(log1p.f64 (-.f64 (+.f64 x (+.f64 x (*.f64 1 (/.f64 -1/2 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) 1))
(log1p.f64 (+.f64 (+.f64 x (+.f64 x (/.f64 -1/2 x))) -1))
(log.f64 (+.f64 x x))

Compiler

Compiled 16 to 11 computations (31.3% saved)

soundness234.0ms (7.5%)

Rules

1196×	`unpow-prod-down`
1070×	`times-frac`
988×	`associate-+l-`
904×	`associate-+r-`
812×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	220	2997
1	445	2956
2	1097	2702
3	3927	2661
0	12	51
1	155	51
2	2076	51

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 380 to 284 computations (25.3% saved)

end0.0ms (0%)

preprocess46.0ms (1.5%)

Compiler: Compiled 76 to 54 computations (28.9% saved)

analyze0.0ms (0%)

sample921.0ms (29.6%)

preprocess407.0ms (13.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize70.0ms (2.3%)

series6.0ms (0.2%)

rewrite222.0ms (7.2%)

simplify133.0ms (4.3%)

eval93.0ms (3%)

prune81.0ms (2.6%)

localize114.0ms (3.7%)

series1.0ms (0%)

rewrite169.0ms (5.4%)

simplify80.0ms (2.6%)

eval159.0ms (5.1%)

prune18.0ms (0.6%)

localize97.0ms (3.1%)

series3.0ms (0.1%)

rewrite95.0ms (3%)

simplify79.0ms (2.6%)

eval32.0ms (1%)

prune11.0ms (0.4%)

regimes24.0ms (0.8%)

regimes5.0ms (0.2%)

simplify4.0ms (0.1%)

soundness234.0ms (7.5%)

end0.0ms (0%)

preprocess46.0ms (1.5%)

Profiling