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

const: 0.0ms (0% of total)

ival->=: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

sample618.0ms (9.7%)

Results

467.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 216.0ms

ival-acosh: 126.0ms (58.4% of total)

ival->=: 79.0ms (36.6% of total)

const: 8.0ms (3.7% of total)

backward-pass: 3.0ms (1.4% of total)

Bogosity

preprocess172.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

2004×	`fmsub-define`
1736×	`fmm-def`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`
1680×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	11	9
2	15	9
3	18	9
4	30	9
5	37	9
6	46	9
7	52	9
0	7	8
1	19	8
2	23	8
3	38	8
4	79	8
5	263	8
6	514	8
7	1117	8
8	3858	8
0	8013	8

Stop Event

1×	iter limit
1×	node limit
1×	saturated

Calls

Call 1

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

Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))

Call 2

Inputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

Outputs
(acosh x)
(acosh (neg x))
(neg (acosh (neg x)))

explain124.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
126	-	-	`(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))`
0	-	-	`x`
0	-	-	`(-.f64 (*.f64 x x) #s(literal 1 binary64))`
0	-	-	`(*.f64 x x)`
0	-	-	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Results

73.0ms

512×

valid

Compiler

Compiled 80 to 23 computations (71.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-log: 6.0ms (28.1% of total)

ival-mult: 5.0ms (23.4% of total)

ival-sqrt: 4.0ms (18.7% of total)

ival-sub: 3.0ms (14.1% of total)

ival-add: 3.0ms (14.1% of total)

const: 1.0ms (4.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 10 to 7 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Compiler

Compiled 10 to 7 computations (30% saved)

simplify142.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(-.f64 (*.f64 x x) #s(literal 1 binary64))
✓	cost-diff	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))
✓	cost-diff	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	cost-diff	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Rules

2004×	`fmsub-define`
1736×	`fmm-def`
1728×	`fma-lowering-fma.f32`
1728×	`fma-lowering-fma.f64`
1680×	`fnmadd-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	19	28
2	23	28
3	38	28
4	79	28
5	263	28
6	514	28
7	1117	28
8	3858	28
0	8013	28

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

Outputs
(log (+ x (sqrt (- (* x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(+ x (sqrt (- (* x x) 1)))
(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))
x
(sqrt (- (* x x) 1))
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))
(- (* x x) 1)
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)

localize38.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	accuracy	100.0%	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
✓	accuracy	54.2%	(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))

Results

28.0ms

256×

valid

Compiler

Compiled 35 to 8 computations (77.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-log: 4.0ms (33.7% of total)

ival-mult: 2.0ms (16.9% of total)

ival-sqrt: 2.0ms (16.9% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

5 → 60

Calls

Call 1

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

Outputs
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))>
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))>
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (log (/ -1 x)))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))>
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))>
#<alt (sqrt -1)>
#<alt (+ x (sqrt -1))>
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))>
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/2 x)>
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>

Calls

15 calls:

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

rewrite309.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2530×	`-lowering-.f32`
2530×	`-lowering-.f64`
1724×	`/-lowering-/.f32`
1724×	`/-lowering-/.f64`
1658×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	26
1	47	26
2	342	26
3	4206	26
0	8119	26

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 278

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))) (log.f64 (.f64 (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))))
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))) (log.f64 (/.f64 (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))))))
(+.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))) (log.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))))))
(+.f64 (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))))
(+.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(+.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) x))))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))))) (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))))
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) #s(literal 3 binary64))))) (log.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (-.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (*.f64 x x))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))) (-.f64 (.f64 x (.f64 x (.f64 x x))) (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))) #s(literal 2 binary64))))) (log.f64 (-.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))))
(+.f64 (log.f64 (/.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (+.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))) (.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) x) (+.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (*.f64 x x))))))
(-.f64 (log.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))))))))
(-.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x)))) (log.f64 (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(-.f64 (log.f64 (.f64 (+.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (.f64 (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(-.f64 (log.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 9/2 binary64)))) (log.f64 (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (-.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))) (.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log.f64 (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))) (-.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))))
(-.f64 (log.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal -1 binary64)))))) (log.f64 (.f64 (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal -1 binary64) (.f64 x (-.f64 x (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))))))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))))
(-.f64 (log.f64 (+.f64 (.f64 x x) (-.f64 #s(literal -1 binary64) (.f64 x x)))) (log.f64 (-.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) x)))
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(/.f64 (.f64 (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x x))) (+.f64 x #s(literal -1 binary64))) (+.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 (.f64 x x) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64))
(pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x (.f64 x x))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal -1 binary64))))))
(.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))))
(.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (/.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(.f64 (+.f64 (neg.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)))
(.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64))) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) #s(literal -1 binary64))) (pow.f64 (+.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64))) (pow.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) (pow.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x))))) (+.f64 (.f64 x x) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (+.f64 (.f64 x x) #s(literal 1 binary64)))))) (+.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (-.f64 (+.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (+.f64 (.f64 x x) (+.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))) (-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (+.f64 (.f64 x x) #s(literal -1 binary64)))))
(.f64 (/.f64 (+.f64 #s(literal -1 binary64) (.f64 x (.f64 x (.f64 x x)))) (-.f64 #s(literal 1 binary64) (.f64 x (.f64 x (.f64 x x))))) (-.f64 #s(literal 1 binary64) (.f64 x x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify282.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
1854×	`+-lowering-+.f64`
1854×	`+-lowering-+.f32`
1282×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	584
1	432	481
2	1373	469
3	4237	458
0	8342	458

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(log (sqrt -1))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -1/2) (log (/ -1 x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(sqrt -1)
(+ x (sqrt -1))
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(/ 1/2 x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)

Outputs
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ x (sqrt -1)))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64))))
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (*.f64 x x) #s(literal 3/40 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 3/32 binary64) (/.f64 #s(literal 5/96 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log -1/2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 3/32 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 x x)) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (log.f64 #s(literal -1/2 binary64))))))
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ x (sqrt -1))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))
(/.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) (/.f64 (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 5/128 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (.f64 (.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/8 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (.f64 x (.f64 x (+.f64 (/.f64 (.f64 (.f64 x x) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal -1 binary64)))))))))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(-.f64 x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))) x)
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))
(-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x) x)
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(- (pow x 2) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval47.0ms (0.7%)

Compiler: Compiled 10078 to 1383 computations (86.3% saved)

prune50.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	334	4	338
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	334	5	339

Accuracy

100.0%

Counts

339 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
▶	99.8%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
▶	99.9%	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
▶	99.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 68 to 48 computations (29.4% saved)

simplify185.0ms (2.9%)

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	cost-diff	0	(*.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))))
✓	cost-diff	0	(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))
✓	cost-diff	128	(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
✓	cost-diff	128	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	cost-diff	0	(+.f64 x x)
✓	cost-diff	0	(log.f64 (+.f64 x x))

Rules

1972×	`-lowering-.f32`
1972×	`-lowering-.f64`
1808×	`sum3-define`
1288×	`fma-lowering-fma.f32`
1288×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	199
1	67	185
2	160	185
3	345	185
4	812	182
5	1916	182
6	4351	182
0	8144	182

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ x x))
(+ x x)
x
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))
(* 1 (/ -1/2 x))
1
(/ -1/2 x)
-1/2
x
(* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))
(+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))
2
(/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))
(- -1/8 (/ 1/16 (* x x)))
-1/8
(/ 1/16 (* x x))
1/16
(* x x)
(* x (* x (* x x)))
(* x (* x x))
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(* x 2)
x
2
(* 1 (/ -1/2 x))
1
(/ -1/2 x)
-1/2
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(* x 2)
x
2
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(+ -1/2 (/ -1/8 (* x x)))
-1/2
(/ -1/8 (* x x))
-1/8
(* x x)

Outputs
(log (+ x x))
(log.f64 (*.f64 x #s(literal 2 binary64)))
(+ x x)
(*.f64 x #s(literal 2 binary64))
x
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x)))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))
(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (.f64 x #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))))
(* 1 (/ -1/2 x))
(/.f64 #s(literal -1/2 binary64) x)
1
#s(literal 1 binary64)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))))
(+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
2
#s(literal 2 binary64)
(/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(- -1/8 (/ 1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ 1/16 (* x x))
(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
1/16
#s(literal 1/16 binary64)
(* x x)
(*.f64 x x)
(* x (* x (* x x)))
(.f64 x (.f64 x (*.f64 x x)))
(* x (* x x))
(.f64 x (.f64 x x))
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* 1 (/ -1/2 x))
(/.f64 #s(literal -1/2 binary64) x)
1
#s(literal 1 binary64)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
(+ -1/2 (/ -1/8 (* x x)))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
-1/2
#s(literal -1/2 binary64)
(/ -1/8 (* x x))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
-1/8
#s(literal -1/8 binary64)
(* x x)
(*.f64 x x)

localize176.0ms (2.8%)

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)
✓	accuracy	99.2%	(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))
✓	accuracy	100.0%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
✓	accuracy	99.9%	(.f64 x (.f64 x (*.f64 x x)))
✓	accuracy	99.9%	(.f64 x (.f64 x x))
✓	accuracy	99.8%	(/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
✓	accuracy	99.2%	(/.f64 #s(literal 1/16 binary64) (*.f64 x x))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(log.f64 (+.f64 x x))

Results

130.0ms

256×

valid

Compiler

Compiled 245 to 29 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-log: 16.0ms (29% of total)

ival-add: 15.0ms (27.2% of total)

ival-div: 13.0ms (23.6% of total)

ival-mult: 10.0ms (18.1% of total)

ival-sub: 1.0ms (1.8% of total)

const: 1.0ms (1.8% of total)

backward-pass: 0.0ms (0% of total)

series72.0ms (1.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (log (+ x x))>
#<alt (+ x x)>
#<alt (* 1 (/ -1/2 x))>
#<alt (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))>
#<alt (log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))>
#<alt (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))>
#<alt (log (+ (* x 2) (* 1 (/ -1/2 x))))>
#<alt (+ (* x 2) (* 1 (/ -1/2 x)))>
#<alt (* x 2)>
#<alt (log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))>
#<alt (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))>
#<alt (/ (+ -1/2 (/ -1/8 (* x x))) x)>
#<alt (/ 1/16 (* x x))>
#<alt (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (/ -1/8 (* x x))>

Outputs
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (log x))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ 1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ -1/8 (pow x 2))>

Calls

51 calls:

Time	Variable		Point	Expression
30.0ms	x	@	0	(log (+ x x))
20.0ms	x	@	-inf	(log (+ x x))
6.0ms	x	@	inf	(log (+ x x))
4.0ms	x	@	-inf	(* 1 (/ -1/2 x))
1.0ms	x	@	0	(* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))

rewrite403.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3264×	`/-lowering-/.f32`
3264×	`/-lowering-/.f64`
2290×	`fma-lowering-fma.f32`
2290×	`fma-lowering-fma.f64`
1966×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	132
1	181	118
2	2157	115
0	8540	115

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1557

Calls

Call 1

Inputs
(log (+ x x))
(+ x x)
(* 1 (/ -1/2 x))
(* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))
(log (+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))))))
(+ (* 1 (/ -1/2 x)) (* x (+ 2 (/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x)))))))
(log (+ (* x 2) (* 1 (/ -1/2 x))))
(+ (* x 2) (* 1 (/ -1/2 x)))
(* x 2)
(log (+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x)))
(+ (* x 2) (/ (+ -1/2 (/ -1/8 (* x x))) x))
(/ (+ -1/2 (/ -1/8 (* x x))) x)
(/ 1/16 (* x x))
(/ (- -1/8 (/ 1/16 (* x x))) (* x (* x (* x x))))
(* x (* x x))
(* x (* x (* x x)))
(/ -1/8 (* x x))

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

simplify294.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

2498×	`fma-lowering-fma.f32`
2498×	`fma-lowering-fma.f64`
2060×	`+-lowering-+.f64`
2060×	`+-lowering-+.f32`
2040×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	1672
1	653	1467
2	2071	1431
3	6028	1431
0	8003	1431

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (log x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(+ (log -2) (* -1 (log (/ -1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ 1/16 (pow x 2))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))
(/ -1/8 (pow x 2))

Outputs
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log x))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 #s(literal -1/8 binary64) (.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x))))))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(.f64 x (+.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (.f64 x x)))))))
(+ (log -1/16) (* -5 (log x)))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (*.f64 (log.f64 x) #s(literal -5 binary64)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal -5 binary64)) (.f64 #s(literal 2 binary64) (*.f64 x x))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+.f64 (log.f64 #s(literal -1/16 binary64)) (+.f64 (.f64 (log.f64 x) #s(literal -5 binary64)) (.f64 x (.f64 x (+.f64 #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64)))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+.f64 (+.f64 (log.f64 #s(literal -1/16 binary64)) (.f64 (log.f64 x) #s(literal -5 binary64))) (.f64 (.f64 x x) (+.f64 #s(literal 2 binary64) (.f64 (.f64 x x) (+.f64 #s(literal 6 binary64) (.f64 (*.f64 x x) #s(literal -136/3 binary64)))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (.f64 x x))) (.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
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(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))

eval317.0ms (5%)

Compiler: Compiled 53494 to 4524 computations (91.5% saved)

prune244.0ms (3.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	2101	3	2104
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	2103	6	2109

Accuracy

100.0%

Counts

2109 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(log.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
▶	99.9%	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))
▶	99.8%	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓	99.8%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	99.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 83 to 55 computations (33.7% saved)

simplify161.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
✓	cost-diff	128	(.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64))
✓	cost-diff	128	(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x))))
✓	cost-diff	0	(-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x))
✓	cost-diff	0	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	cost-diff	128	(.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x)))))
✓	cost-diff	0	(/.f64 #s(literal -1/2 binary64) x)
✓	cost-diff	0	(+.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	cost-diff	0	(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x)
✓	cost-diff	0	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))

Rules

2350×	`-lowering-.f32`
2350×	`-lowering-.f64`
1636×	`fma-define`
1030×	`fma-lowering-fma.f32`
1030×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	182
1	75	177
2	171	177
3	359	177
4	775	174
5	2365	172
6	5630	172
0	8092	172

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (+ (+ (/ -1/2 x) x) x))
(+ (+ (/ -1/2 x) x) x)
(+ (/ -1/2 x) x)
(/ -1/2 x)
-1/2
x
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))
x
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))
2
(/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))
(+ -1/8 (/ -1/16 (* x x)))
-1/8
(/ -1/16 (* x x))
-1/16
(* x x)
(* (* x x) (* x x))
(/ 1/2 x)
1/2
(log (/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x))
(/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x)
(- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x)))
(* (+ -1/2 (* 2 (* x x))) 1)
(+ -1/2 (* 2 (* x x)))
-1/2
(* 2 (* x x))
2
(* x x)
x
1
(/ 1/8 (* x x))
1/8

Outputs
(log (+ (+ (/ -1/2 x) x) x))
(log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))))
(+ (+ (/ -1/2 x) x) x)
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64)))
(+ (/ -1/2 x) x)
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
-1/2
#s(literal -1/2 binary64)
x
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x))))))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x x)))))
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x x))))
x
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
2
#s(literal 2 binary64)
(/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(+ -1/8 (/ -1/16 (* x x)))
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x)))
-1/8
#s(literal -1/8 binary64)
(/ -1/16 (* x x))
(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
-1/16
#s(literal -1/16 binary64)
(* x x)
(*.f64 x x)
(* (* x x) (* x x))
(.f64 x (.f64 x (*.f64 x x)))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(log (/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x))
(log.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) x)))
(/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x)
(-.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) x) x)) x))
(- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x)))
(+.f64 (.f64 x (.f64 x #s(literal 2 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) x) x)))
(* (+ -1/2 (* 2 (* x x))) 1)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(+ -1/2 (* 2 (* x x)))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
-1/2
#s(literal -1/2 binary64)
(* 2 (* x x))
(.f64 x (.f64 x #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
1
#s(literal 1 binary64)
(/ 1/8 (* x x))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
1/8
#s(literal 1/8 binary64)

localize182.0ms (2.9%)

Localize:

Found 12 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
✓	accuracy	99.2%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	54.1%	(/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)
✓	accuracy	100.0%	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 x x)))
✓	accuracy	99.8%	(.f64 (.f64 x x) (*.f64 x x))
✓	accuracy	99.2%	(/.f64 #s(literal -1/16 binary64) (*.f64 x x))
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal -1/2 binary64) x) x)
✓	accuracy	100.0%	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓	accuracy	100.0%	(+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x)

Results

143.0ms

256×

valid

Compiler

Compiled 239 to 30 computations (87.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-div: 31.0ms (44.4% of total)

ival-mult: 20.0ms (28.7% of total)

ival-log: 8.0ms (11.5% of total)

ival-add: 6.0ms (8.6% of total)

ival-sub: 2.0ms (2.9% of total)

const: 1.0ms (1.4% of total)

backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts

17 → 204

Calls

Call 1

Inputs
#<alt (log (+ (+ (/ -1/2 x) x) x))>
#<alt (+ (+ (/ -1/2 x) x) x)>
#<alt (+ (/ -1/2 x) x)>
#<alt (/ -1/2 x)>
#<alt (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))>
#<alt (log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))>
#<alt (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))>
#<alt (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))>
#<alt (/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x)>
#<alt (* (+ -1/2 (* 2 (* x x))) 1)>
#<alt (log (/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x))>
#<alt (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x)))>
#<alt (/ -1/16 (* x x))>
#<alt (* (* x x) (* x x))>
#<alt (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))>
#<alt (/ 1/8 (* x x))>
#<alt (+ -1/2 (* 2 (* x x)))>

Outputs
#<alt (+ (log -1/2) (* -1 (log x)))>
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))>
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/2 x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (/ -1/2 x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt (/ (- (pow x 2) 1/2) x)>
#<alt x>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/8 (/ 1 (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))>
#<alt (+ (log -1/16) (* -5 (log x)))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))>
#<alt (+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/16 (pow x 5))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))>
#<alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))>
#<alt 2>
#<alt (- 2 (* 1/8 (/ 1 (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt 2>
#<alt (- 2 (* 1/8 (/ 1 (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))>
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt -1/2>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (/ -1/16 (pow x 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (/ -1/16 (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ -1/8 (pow x 4))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt -1/2>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x)
0.0ms	x	@	0	(/ -1/16 (* x x))
0.0ms	x	@	0	(/ 1/8 (* x x))
0.0ms	x	@	inf	(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))
0.0ms	x	@	inf	(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))

rewrite396.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3240×	`/-lowering-/.f32`
3240×	`/-lowering-/.f64`
2160×	`-lowering-.f32`
2160×	`-lowering-.f64`
1904×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	29	153
1	204	148
2	2127	144
0	8547	144

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 575

Calls

Call 1

Inputs
(log (+ (+ (/ -1/2 x) x) x))
(+ (+ (/ -1/2 x) x) x)
(+ (/ -1/2 x) x)
(/ -1/2 x)
(* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))))
(log (- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x)))
(- (* x (+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))) (/ 1/2 x))
(+ 2 (/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x))))
(/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x)
(* (+ -1/2 (* 2 (* x x))) 1)
(log (/ (- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x))) x))
(- (* (+ -1/2 (* 2 (* x x))) 1) (/ 1/8 (* x x)))
(/ -1/16 (* x x))
(* (* x x) (* x x))
(/ (+ -1/8 (/ -1/16 (* x x))) (* (* x x) (* x x)))
(/ 1/8 (* x x))
(+ -1/2 (* 2 (* x x)))

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

simplify286.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

2622×	`fma-lowering-fma.f32`
2622×	`fma-lowering-fma.f64`
2094×	`+-lowering-+.f64`
2094×	`+-lowering-+.f32`
2076×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	239	1841
1	687	1572
2	2201	1500
3	6482	1500
0	8451	1500

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(+ (log -1/2) (* -1 (log x)))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/2 x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(/ -1/2 x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
(/ (- (pow x 2) 1/2) x)
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/8 (/ 1 (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* x (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))))
(* 2 x)
(* -1 (* x (- (* 1/8 (/ 1 (pow x 4))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(* -1 (* x (- (+ (/ 1/16 (pow x 6)) (* 1/8 (/ 1 (pow x 4)))) 2)))
(+ (log -1/16) (* -5 (log x)))
(+ (log -1/16) (+ (* -5 (log x)) (* 2 (pow x 2))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* 6 (pow x 2))))))
(+ (log -1/16) (+ (* -5 (log x)) (* (pow x 2) (+ 2 (* (pow x 2) (+ 6 (* -136/3 (pow x 2))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/16 (pow x 5))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/8)) 1/16) (pow x 5))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8)) 1/16) (pow x 5))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) 2)))
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 6))
2
(- 2 (* 1/8 (/ 1 (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
2
(- 2 (* 1/8 (/ 1 (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4))))
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
-1/2
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 2))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 2))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(/ -1/16 (pow x 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(/ -1/16 (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ -1/8 (pow x 4))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
-1/2
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))

Outputs
(+ (log -1/2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))
(+.f64 (.f64 x (.f64 x #s(literal -4 binary64))) (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) #s(literal -8 binary64)))) (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))
(+.f64 (.f64 (.f64 x x) (+.f64 #s(literal -4 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -8 binary64) (.f64 x (.f64 x #s(literal -64/3 binary64))))))) (-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 x x))) (.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (.f64 x x))) (.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (+.f64 #s(literal -1/32 binary64) (/.f64 #s(literal -1/192 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/ (- (* 2 (pow x 2)) 1/2) x)
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (pow x 2) 1/2) x)
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/ (- (pow x 2) 1/2) x)
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/ (- (pow x 2) 1/2) x)
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
x
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- 1 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
x
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 1)))
(+.f64 x (/.f64 #s(literal -1/2 binary64) x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ -1/16 (pow x 5))
(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 5 binary64)))
(/ (- (* (pow x 2) (- (* 2 (pow x 4)) 1/8)) 1/16) (pow x 5))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 (.f64 x x) (+.f64 #s(literal -1/8 binary64) (.f64 #s(literal 2 binary64) (.f64 x (.f64 x (.f64 x x))))))) (pow.f64 x #s(literal 5 binary64)))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
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(/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ (- (* -1/8 (pow x 2)) 1/16) (pow x 6))
(/.f64 (+.f64 #s(literal -1/16 binary64) (.f64 x (.f64 x #s(literal -1/8 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ -1/8 (pow x 4))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x (*.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(- (* 2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(- (* 2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(* 2 (pow x 2))
(.f64 x (.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 x (.f64 x #s(literal 2 binary64))))

eval164.0ms (2.6%)

Compiler: Compiled 25943 to 2744 computations (89.4% saved)

prune93.0ms (1.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	778	1	779
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	779	6	785

Accuracy

100.0%

Counts

785 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(log.f64 (/.f64 (-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
✓	99.9%	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.8%	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓	99.8%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	99.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 81 to 54 computations (33.3% saved)

simplify143.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 (*.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
✓	cost-diff	0	(-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
✓	cost-diff	0	(log.f64 (/.f64 (-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
✓	cost-diff	128	(/.f64 (-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)

Rules

2408×	`sum4-define`
2022×	`sum3-define`
1368×	`sum5-define`
1260×	`-lowering-.f32`
1260×	`-lowering-.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	26	58
2	56	58
3	103	58
4	193	58
5	367	58
6	754	57
7	1759	55
8	4392	55
9	6447	55
0	8058	55

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(log (/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x))
(/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x)
(- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x)))
(+ (* x (/ x 1/2)) -1/2)
(* x (/ x 1/2))
x
(/ x 1/2)
1/2
-1/2
(/ 1/8 (* x x))
1/8
(* x x)

Outputs
(log (/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x))
(log.f64 (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)))
(/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x)
(+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x))
(- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x)))
(+.f64 (/.f64 (.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))))
(+ (* x (/ x 1/2)) -1/2)
(+.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(* x (/ x 1/2))
(/.f64 (*.f64 x x) #s(literal 1/2 binary64))
x
(/ x 1/2)
(/.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(/ 1/8 (* x x))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
1/8
#s(literal 1/8 binary64)
(* x x)
(*.f64 x x)

localize62.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
✓	accuracy	100.0%	(+.f64 (*.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
✓	accuracy	99.2%	(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
✓	accuracy	54.1%	(/.f64 (-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x)

Results

45.0ms

256×

valid

Compiler

Compiled 73 to 13 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 6.0ms (37.7% of total)

ival-mult: 4.0ms (25.1% of total)

ival-log: 3.0ms (18.8% of total)

ival-sub: 1.0ms (6.3% of total)

ival-add: 1.0ms (6.3% of total)

const: 1.0ms (6.3% of total)

backward-pass: 0.0ms (0% of total)

series1.0ms (0%)

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x)>
#<alt (log (/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x))>
#<alt (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x)))>
#<alt (+ (* x (/ x 1/2)) -1/2)>
#<alt (/ 1/8 (* x x))>

Outputs
#<alt (/ -1/8 (pow x 3))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))>
#<alt (+ (log -1/8) (* -3 (log x)))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))>
#<alt (+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))>
#<alt (+ (log 2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))>
#<alt (/ -1/8 (pow x 2))>
#<alt (/ (- (* -1/2 (pow x 2)) 1/8) (pow x 2))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))>
#<alt (/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (- (* 2 (pow x 2)) 1/2)>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>
#<alt (/ 1/8 (pow x 2))>

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x)
0.0ms	x	@	inf	(/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x)
0.0ms	x	@	-inf	(/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x)
0.0ms	x	@	-inf	(log (/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x))
0.0ms	x	@	0	(log (/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x))

rewrite328.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4400×	`-lowering-.f32`
4400×	`-lowering-.f64`
3926×	`/-lowering-/.f32`
3926×	`/-lowering-/.f64`
2258×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	79	45
2	785	44
0	8361	44

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 335

Calls

Call 1

Inputs
(/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x)
(log (/ (- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x))) x))
(- (+ (* x (/ x 1/2)) -1/2) (/ 1/8 (* x x)))
(+ (* x (/ x 1/2)) -1/2)
(/ 1/8 (* x x))

Outputs
(+.f64 (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) x) (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x)))
(+.f64 (fma.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) #s(literal 1/8 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x)) #s(literal 1/8 binary64) (.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) x) #s(literal 1/8 binary64))))
(+.f64 (fma.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))))
(exp.f64 (.f64 (log.f64 (/.f64 x (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) x))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)))) (+.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))))) x) (/.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (+.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))))) x))
(-.f64 (/.f64 (/.f64 (.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/2 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) x) (/.f64 (/.f64 (/.f64 #s(literal 1/64 binary64) (.f64 (.f64 x x) (.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (+.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x)))
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(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64)))))
(/.f64 (/.f64 #s(literal 1/8 binary64) x) x)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 1/8 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) x))) x)
(pow.f64 (/.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/8 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/8 binary64) x))
(*.f64 (/.f64 #s(literal 1/8 binary64) x) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/8 binary64) x)) (/.f64 #s(literal -1 binary64) x))

simplify200.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1996×	`-lowering-.f32`
1996×	`-lowering-.f64`
1872×	`fma-define`
1804×	`fma-lowering-fma.f32`
1804×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	644
1	288	529
2	913	466
3	2663	440
0	8348	440

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(/ -1/8 (pow x 3))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(* 2 x)
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 x)
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+ (log -1/8) (* -3 (log x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (* -1 (log (/ -1 x))))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(/ -1/8 (pow x 2))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 2))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
-1/2
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(- (* 2 (pow x 2)) 1/2)
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))
(/ 1/8 (pow x 2))

Outputs
(/ -1/8 (pow x 3))
(/.f64 #s(literal -1/8 binary64) (.f64 x (.f64 x x)))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 3))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 3))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(* -1 (* x (- (+ (/ 1/8 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))) 2)))
(+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(+ (log -1/8) (* -3 (log x)))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal -3 binary64) (log.f64 x)))
(+ (log -1/8) (+ (* -3 (log x)) (* 4 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) (.f64 x (*.f64 x #s(literal 4 binary64)))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* -24 (pow x 2))))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 (*.f64 x x) #s(literal -24 binary64))))))
(+ (log -1/8) (+ (* -3 (log x)) (* (pow x 2) (+ 4 (* (pow x 2) (- (* 256/3 (pow x 2)) 24))))))
(+.f64 (.f64 #s(literal -3 binary64) (log.f64 x)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (.f64 (.f64 x x) (+.f64 #s(literal 4 binary64) (.f64 x (.f64 x (+.f64 #s(literal -24 binary64) (.f64 (*.f64 x x) #s(literal 256/3 binary64)))))))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) x) x)) (*.f64 x x))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (-.f64 #s(literal -3/32 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))))
(+ (log -2) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (-.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 #s(literal 3/32 binary64) x) x)) (*.f64 x x)) (-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 3/32 (* 1/48 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))
(+.f64 (/.f64 (-.f64 #s(literal -3/32 binary64) (/.f64 #s(literal 1/48 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (log.f64 #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
(/ -1/8 (pow x 2))
(/.f64 #s(literal -1/8 binary64) (*.f64 x x))
(/ (- (* -1/2 (pow x 2)) 1/8) (pow x 2))
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(/ (- (* (pow x 2) (- (* 2 (pow x 2)) 1/2)) 1/8) (pow x 2))
(+.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x)))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
(* (pow x 2) (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))))
-1/2
#s(literal -1/2 binary64)
(- (* 2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(- (* 2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(- (* 2 (pow x 2)) 1/2)
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(* 2 (pow x 2))
(.f64 #s(literal 2 binary64) (.f64 x x))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(* (pow x 2) (- 2 (* 1/2 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))
(/ 1/8 (pow x 2))
(/.f64 #s(literal 1/8 binary64) (*.f64 x x))

eval53.0ms (0.8%)

Compiler: Compiled 17787 to 1663 computations (90.7% saved)

prune46.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	395	0	395
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	395	6	401

Accuracy

100.0%

Counts

401 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(log.f64 (/.f64 (-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
✓	99.9%	(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.8%	(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
✓	99.8%	(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
✓	52.3%	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
✓	99.5%	(log.f64 (+.f64 x x))

Compiler

Compiled 211 to 114 computations (46% saved)

regimes13.0ms (0.2%)

Counts

9 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(log.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/16 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x))))))))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))

Outputs

(log.f64 (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))

Calls

3 calls:

6.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))
3.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))
3.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))`
99.9%	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))`

Compiler

Compiled 21 to 14 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(log.f64 (/.f64 (-.f64 (+.f64 (.f64 x (/.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))
(log.f64 (/.f64 (-.f64 (.f64 (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (.f64 x x))) x))

Outputs
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

3 → 1

Calls

Call 1

Inputs

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

(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.8%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

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:

1.0ms

Results

Accuracy	Segments	Branch
99.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
10×	`*-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	50
1	38	50
2	47	50
3	53	50
4	58	50
5	60	50

Stop Event

1×

saturated

Calls

Call 1

Inputs
(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
(log.f64 (+.f64 x x))

Outputs
(log.f64 (-.f64 (.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (.f64 x x))) (.f64 (.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/2 binary64) x)))
(log.f64 (+.f64 (.f64 x #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (.f64 x x))) x)))
(log.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) x))
(log.f64 (+.f64 x (+.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(log.f64 (+.f64 x x))

soundness691.0ms (10.9%)

Rules

3264×	`/-lowering-/.f32`
3264×	`/-lowering-/.f64`
3240×	`-lowering-.f32`
3240×	`-lowering-.f64`
2290×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	132
1	181	118
2	2157	115
0	8540	115
0	150	584
1	432	481
2	1373	469
3	4237	458
0	8342	458

Stop Event

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

Compiler

Compiled 73 to 43 computations (41.1% saved)

preprocess40.0ms (0.6%)

Compiler: Compiled 148 to 88 computations (40.5% saved)

analyze0.0ms (0%)

sample618.0ms (9.7%)

preprocess172.0ms (2.7%)

explain124.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify142.0ms (2.2%)

localize38.0ms (0.6%)

series5.0ms (0.1%)

rewrite309.0ms (4.9%)

simplify282.0ms (4.4%)

eval47.0ms (0.7%)

prune50.0ms (0.8%)

simplify185.0ms (2.9%)

localize176.0ms (2.8%)

series72.0ms (1.1%)

rewrite403.0ms (6.3%)

simplify294.0ms (4.6%)

eval317.0ms (5%)

prune244.0ms (3.8%)

simplify161.0ms (2.5%)

localize182.0ms (2.9%)

series7.0ms (0.1%)

rewrite396.0ms (6.2%)

simplify286.0ms (4.5%)

eval164.0ms (2.6%)

prune93.0ms (1.5%)

simplify143.0ms (2.2%)

localize62.0ms (1%)

series1.0ms (0%)

rewrite328.0ms (5.2%)

simplify200.0ms (3.1%)

eval53.0ms (0.8%)

prune46.0ms (0.7%)

regimes13.0ms (0.2%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify11.0ms (0.2%)

soundness691.0ms (10.9%)

preprocess40.0ms (0.6%)

end0.0ms (0%)

Profiling