Metrics for Rust f32::atanh

analyze2.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

Precisions

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

const: 0.0ms (0% of total)

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

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

sample429.0ms (6.2%)

Results

308.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-atanh: 99.0ms (89.7% of total)

const: 8.0ms (7.3% of total)

backward-pass: 3.0ms (2.7% of total)

Bogosity

preprocess55.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

252×	`fma-define`
212×	`sum3-define`
132×	`fma-lowering-fma.f32`
132×	`fma-lowering-fma.f64`
126×	`fmsub-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	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Call 2

Inputs
(atanh x)
(atanh (neg x))
(neg (atanh (neg x)))

Outputs
(atanh x)
(atanh (neg x))
(neg (atanh (neg x)))

explain187.0ms (2.7%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
-	-	`(*.f32 #s(literal 2 binary32) x)`
-	-	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
-	-	`(-.f32 #s(literal 1 binary32) x)`
-	-	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`
-	-	`#s(literal 1/2 binary32)`
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 2 binary32)`

Results

98.0ms	310×	1	valid
27.0ms	202×	0	valid

Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

compiled-spec: 27.0ms (30.1% of total)

ival-log: 16.0ms (17.9% of total)

ival-mult: 14.0ms (15.6% of total)

backward-pass: 12.0ms (13.4% of total)

ival-div: 8.0ms (8.9% of total)

ival-add: 5.0ms (5.6% of total)

ival-sub: 5.0ms (5.6% of total)

const: 3.0ms (3.3% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f32 #s(literal 2 binary32) x)
✓	cost-diff	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
✓	cost-diff	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	cost-diff	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Rules

252×	`fma-define`
212×	`sum3-define`
132×	`fma-lowering-fma.f32`
132×	`fma-lowering-fma.f64`
126×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(* 1/2 (log (+ 1 (/ (* 2 x) (- 1 x)))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
1/2
#s(literal 1/2 binary32)
(log (+ 1 (/ (* 2 x) (- 1 x))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
(/ (* 2 x) (- 1 x))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
2
#s(literal 2 binary32)
x
(- 1 x)
(-.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)

localize115.0ms (1.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 #s(literal 2 binary32) x)
✓	accuracy	100.0%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	accuracy	99.9%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
✓	accuracy	99.9%	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))

Results

54.0ms	155×	1	valid
44.0ms	101×	0	valid

Compiler

Compiled 37 to 10 computations (73% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

compiled-spec: 16.0ms (33.1% of total)

ival-log: 8.0ms (16.5% of total)

ival-mult: 6.0ms (12.4% of total)

backward-pass: 6.0ms (12.4% of total)

ival-add: 5.0ms (10.3% of total)

ival-div: 4.0ms (8.3% of total)

ival-sub: 2.0ms (4.1% of total)

const: 1.0ms (2.1% of total)

series27.0ms (0.4%)

Counts

4 → 48

Calls

Call 1

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

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 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)>

Calls

12 calls:

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

rewrite239.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3232×	`-lowering-.f32`
3232×	`-lowering-.f64`
2314×	`/-lowering-/.f32`
2314×	`/-lowering-/.f64`
1602×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	50	28
2	419	28
3	6064	28
0	8334	28

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 107

Calls

Call 1

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

Outputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))
(*.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 binary32))
(log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (neg.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))
(-.f32 (log.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))))) (log.f32 (+.f32 #s(literal -1 binary32) (neg.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))))
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))))
(-.f32 (log.f32 (+.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) #s(literal -1 binary32))) (log.f32 (+.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) #s(literal -1 binary32))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))) (+.f32 (.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))) (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))))))
(/.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32))) (+.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))) (+.f32 (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))) (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))))
(/.f32 (-.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))) (.f32 (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32)))))) (+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))) (log1p.f32 (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) (-.f32 (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 4 binary32)) #s(literal 2 binary32))))))
(/.f32 (-.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))) (.f32 (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))) (+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
(log.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))))
(neg.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 #s(literal 2 binary32) x))) #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))) x))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))))
(+.f32 (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))))
(+.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))))
(+.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(+.f32 (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 x #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)))
(/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
(/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/2 binary32) x))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 x #s(literal -2 binary32))))
(/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (-.f32 #s(literal 1 binary32) (*.f32 x x)))
(/.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) x)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (-.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x (+.f32 #s(literal 1 binary32) x)) (.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x x))) (-.f32 #s(literal 1 binary32) x))
(/.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 x #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)))
(*.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x)))
(.f32 #s(literal 2 binary32) (.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(*.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(.f32 x (.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x))))
(.f32 x (.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))
(.f32 x (.f32 #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x)) #s(literal 1 binary32))
(.f32 (.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))))
(.f32 (.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (*.f32 x x)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (.f32 #s(literal 2 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (pow.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal -1 binary32)))
(.f32 (neg.f32 x) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(*.f32 (neg.f32 x) (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) x) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) x)) #s(literal 2 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32))) (.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))
(*.f32 #s(literal -2 binary32) (/.f32 (neg.f32 x) (-.f32 #s(literal 1 binary32) x)))
(.f32 #s(literal -2 binary32) (.f32 x (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal -1 binary32)))))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 2 binary32)))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (*.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (.f32 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (*.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)) x)
(.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))))
(.f32 (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
(*.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) x)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 #s(literal 2 binary32) x)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 2 binary32) x)) #s(literal -1/2 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))
(.f32 (.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (+.f32 #s(literal 1 binary32) x))
(.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (+.f32 (neg.f32 x) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 #s(literal -1 binary32) (*.f32 x x))) (+.f32 (neg.f32 x) #s(literal -1 binary32)))
(neg.f32 (*.f32 x #s(literal -2 binary32)))
(-.f32 #s(literal 0 binary32) (*.f32 x #s(literal -2 binary32)))
(.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) x))
(*.f32 #s(literal 2 binary32) x)
(*.f32 x #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) x) #s(literal 1 binary32))
(*.f32 (neg.f32 x) #s(literal -2 binary32))
(.f32 #s(literal -1 binary32) (.f32 x #s(literal -2 binary32)))
(*.f32 #s(literal -2 binary32) (neg.f32 x))

simplify255.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2126×	`-lowering-.f32`
2126×	`-lowering-.f64`
2060×	`sum3-define`
1780×	`fma-lowering-fma.f32`
1780×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 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)

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x (*.f32 x x)))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1/3 binary32) (/.f32 #s(literal -1/5 binary32) (.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 2/3 binary32))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 x (*.f32 x #s(literal 2/5 binary32)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/5 binary32) (.f32 x (*.f32 x #s(literal 2/7 binary32)))))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (/.f32 #s(literal 2/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x)))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2/3 binary32) (/.f32 #s(literal 2/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 x)))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32))))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(.f32 (.f32 x #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 x #s(literal 1 binary32)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 x (.f32 (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (.f32 x x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* 2 x)
(*.f32 x #s(literal 2 binary32))

eval14.0ms (0.2%)

Compiler: Compiled 2946 to 586 computations (80.1% saved)

prune22.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	7	156

Accuracy

100.0%

Counts

156 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
▶	99.3%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
▶	98.7%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
	99.4%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
▶	99.7%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
▶	97.5%	x

Compiler

Compiled 201 to 135 computations (32.8% saved)

simplify194.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 #s(literal 1/3 binary32) (.f32 x x))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
✓	cost-diff	0	(/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))
✓	cost-diff	0	(log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))
✓	cost-diff	256	(/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))

Rules

2858×	`-lowering-.f32`
2858×	`-lowering-.f64`
1920×	`+-lowering-+.f64`
1920×	`+-lowering-+.f32`
1238×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	237
1	109	213
2	346	210
3	1023	207
4	2293	207
5	3128	195
6	4569	195
0	8053	195

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/2 (log (+ 1 (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x))))))
1/2
(log (+ 1 (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x)))))
(/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x)))
(/ (* 2 x) (- 1 (* x x)))
(* 2 x)
2
x
(- 1 (* x x))
1
(* x x)
(/ 1 (+ 1 x))
(+ 1 x)
x
(* x (+ 1 (* 1/3 (* x x))))
x
(+ 1 (* 1/3 (* x x)))
1
(* 1/3 (* x x))
1/3
(* x x)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
1
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(* x x)
(+ 1/3 (* (* x x) 1/5))
1/3
(* (* x x) 1/5)
1/5
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
1
(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* x x)
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
1/3
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(* x (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7

Outputs
(* 1/2 (log (+ 1 (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x))))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32)))))
1/2
#s(literal 1/2 binary32)
(log (+ 1 (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x)))))
(log1p.f32 (/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32))))
(/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x)))
(/.f32 (*.f32 x #s(literal -2 binary32)) (+.f32 x #s(literal -1 binary32)))
(/ (* 2 x) (- 1 (* x x)))
(/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
2
#s(literal 2 binary32)
x
(- 1 (* x x))
(-.f32 #s(literal 1 binary32) (*.f32 x x))
1
#s(literal 1 binary32)
(* x x)
(*.f32 x x)
(/ 1 (+ 1 x))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
x
(* x (+ 1 (* 1/3 (* x x))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
x
(+ 1 (* 1/3 (* x x)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))
1
#s(literal 1 binary32)
(* 1/3 (* x x))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
1/3
#s(literal 1/3 binary32)
(* x x)
(*.f32 x x)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
x
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
1
#s(literal 1 binary32)
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
(* x x)
(*.f32 x x)
(+ 1/3 (* (* x x) 1/5))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
1/3
#s(literal 1/3 binary32)
(* (* x x) 1/5)
(.f32 (.f32 x x) #s(literal 1/5 binary32))
1/5
#s(literal 1/5 binary32)
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
x
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))))
1
#s(literal 1 binary32)
(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
(* x x)
(*.f32 x x)
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))))
1/3
#s(literal 1/3 binary32)
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(* x (+ 1/5 (* (* x x) 1/7)))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)

localize378.0ms (5.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	99.3%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.1%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	accuracy	99.9%	(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
✓	accuracy	99.7%	(.f32 (.f32 x x) #s(literal 1/5 binary32))
✓	accuracy	99.4%	(.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (.f32 x x)))
✓	accuracy	100.0%	(*.f32 x x)
✓	accuracy	99.9%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
✓	accuracy	99.5%	(.f32 #s(literal 1/3 binary32) (.f32 x x))
✓	accuracy	100.0%	(/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))
✓	accuracy	99.9%	(log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))))
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x))
✓	accuracy	99.8%	(/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))

Results

237.0ms	155×	1	valid
50.0ms	101×	0	valid

Compiler

Compiled 279 to 33 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 37.0ms (24.1% of total)

...c/correct-round.rkt:119:19: 31.0ms (20.2% of total)

ival-div: 20.0ms (13% of total)

backward-pass: 19.0ms (12.4% of total)

ival-add: 17.0ms (11.1% of total)

compiled-spec: 16.0ms (10.4% of total)

ival-log: 10.0ms (6.5% of total)

ival-sub: 3.0ms (2% of total)

const: 1.0ms (0.7% of total)

series16.0ms (0.2%)

Counts

20 → 240

Calls

Call 1

Inputs
#<alt (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x)))>
#<alt (* 1/2 (log (+ 1 (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x))))))>
#<alt (log (+ 1 (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x)))))>
#<alt (/ (* 2 x) (- 1 (* x x)))>
#<alt (* x (+ 1 (* 1/3 (* x x))))>
#<alt (+ 1 (* 1/3 (* x x)))>
#<alt (* 1/3 (* x x))>
#<alt (* x x)>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))>
#<alt (* (* x x) (+ 1/3 (* (* x x) 1/5)))>
#<alt (* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))>
#<alt (/ 1 (+ 1 x))>
#<alt (* (* x x) 1/5)>
#<alt (+ 1/3 (* (* x x) 1/5))>
#<alt (* (* x x) 1/7)>
#<alt (* x (+ 1/5 (* (* x x) 1/7)))>
#<alt (* x (* x (+ 1/5 (* (* x x) 1/7))))>

Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 2 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (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)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 6))>
#<alt (* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>

Calls

60 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* x (+ 1 (* 1/3 (* x x))))
1.0ms	x	@	0	(* x (+ 1 (* 1/3 (* x x))))
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
0.0ms	x	@	inf	(* x (+ 1 (* 1/3 (* x x))))
0.0ms	x	@	inf	(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))

rewrite446.0ms (6.5%)

Algorithm

1×	batch-egg-rewrite

Rules

5176×	`-lowering-.f32`
5176×	`-lowering-.f64`
2740×	`+-lowering-+.f64`
2740×	`+-lowering-+.f32`
2736×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	187
1	230	166
2	2225	163
0	9742	163

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 472

Calls

Call 1

Inputs
(/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x)))
(* 1/2 (log (+ 1 (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x))))))
(log (+ 1 (/ (/ (* 2 x) (- 1 (* x x))) (/ 1 (+ 1 x)))))
(/ (* 2 x) (- 1 (* x x)))
(* x (+ 1 (* 1/3 (* x x))))
(+ 1 (* 1/3 (* x x)))
(* 1/3 (* x x))
(* x x)
(* x (+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5)))))
(+ 1 (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(* (* x x) (+ 1/3 (* (* x x) 1/5)))
(* x (+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(+ 1 (* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* (* x x) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(/ 1 (+ 1 x))
(* (* x x) 1/5)
(+ 1/3 (* (* x x) 1/5))
(* (* x x) 1/7)
(* x (+ 1/5 (* (* x x) 1/7)))
(* x (* x (+ 1/5 (* (* x x) 1/7))))

Outputs
(neg.f32 (/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal -1 binary32) (+.f32 x #s(literal 1 binary32)))))
(neg.f32 (/.f32 (/.f32 (.f32 x #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 x #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (*.f32 #s(literal 2 binary32) x))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))
(+.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(+.f32 (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(+.f32 (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))))
(pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 x #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (*.f32 #s(literal 2 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 x #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 #s(literal 2 binary32) x)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x))
(fma.f32 #s(literal 2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(fma.f32 #s(literal 2 binary32) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x))
(fma.f32 #s(literal 2 binary32) (/.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(fma.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(fma.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x))
(fma.f32 x (/.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))
(fma.f32 x (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))
(fma.f32 (.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 (.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))
(fma.f32 (.f32 #s(literal 2 binary32) x) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32)) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))))
(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))
(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 1 binary32) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 (.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))
(fma.f32 (.f32 x #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 #s(literal 2 binary32) x) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) x))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (.f32 #s(literal 2 binary32) x) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x)))))
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 2 binary32) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x))
(fma.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) #s(literal 2 binary32) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x))
(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (.f32 x (.f32 x (.f32 x x)))))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) (.f32 x x)))) (.f32 x (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x)))))
(fma.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x (.f32 x x))))) (+.f32 #s(literal 1 binary32) (.f32 x x)) (.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (.f32 x x))) x))
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(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(fma.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 (.f32 x x) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 x (.f32 x (.f32 x x))) #s(literal 1/49 binary32)))) (-.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x x))
(.f32 (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) x)

simplify287.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

3366×	`-lowering-.f32`
3366×	`-lowering-.f64`
2634×	`/-lowering-/.f32`
2634×	`/-lowering-/.f64`
2206×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2109
1	761	1750
2	2276	1706
0	8059	1706

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(* 2 x)
(* x (+ 2 (* 2 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (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)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 6))
(* (pow x 6) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))

Outputs
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 x)))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x)))
(* x (+ 2 (* x (+ 2 (* 2 x)))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))))
(.f32 x (.f32 (+.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) x))))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x))))
(.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 x x)) #s(literal -1 binary32)))
-2
#s(literal -2 binary32)
(* -1 (+ 2 (* 2 (/ 1 x))))
(+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 2)
(-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x)))) x))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32))))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))) (/.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(-.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1/5 binary32) (.f32 x x)) #s(literal -1/3 binary32)) (*.f32 x x))) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (*.f32 x x) #s(literal 2/3 binary32))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 x (*.f32 x #s(literal 2/5 binary32)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 2/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/5 binary32) (.f32 (*.f32 x x) #s(literal 2/7 binary32)))))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/5 binary32) (pow.f32 x #s(literal 5 binary32))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (/.f32 #s(literal 2 binary32) x) (log.f32 #s(literal -1 binary32)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x))) x))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
(* x (+ 2 (* 2 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 x x))))
(* x (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (.f32 x (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 x x)))))))
(* x (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))))
(.f32 x (.f32 (+.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (*.f32 x x)))))
(/ -2 x)
(/.f32 #s(literal -2 binary32) x)
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))
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(/.f32 #s(literal 1 binary32) x)
(/ (- 1 (/ 1 x)) x)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) x)) x)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) x)) x)) x)
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/5 (pow x 2)))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(+ 1/3 (* 1/5 (pow x 2)))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(+ 1/3 (* 1/5 (pow x 2)))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* 1/7 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* 1/7 (pow x 3))
(.f32 x (.f32 x (*.f32 x #s(literal 1/7 binary32))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32))))))
(* 1/7 (pow x 4))
(.f32 (.f32 x x) (.f32 x (.f32 x #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* 1/7 (pow x 4))
(.f32 (.f32 x x) (.f32 x (.f32 x #s(literal 1/7 binary32))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 (.f32 x x) (.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))))

eval100.0ms (1.4%)

Compiler: Compiled 18441 to 2200 computations (88.1% saved)

prune85.0ms (1.2%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	808	4	812
Fresh	0	1	1
Picked	2	3	5
Done	0	1	1
Total	810	9	819

Accuracy

100.0%

Counts

819 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
▶	99.4%	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)
▶	98.7%	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
▶	99.1%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	99.3%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	98.7%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
▶	99.4%	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.5%	x

Compiler

Compiled 233 to 149 computations (36.1% saved)

simplify210.0ms (3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
✓	cost-diff	0	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)
✓	cost-diff	0	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))
✓	cost-diff	0	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	cost-diff	128	(+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32)))))
✓	cost-diff	0	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))
✓	cost-diff	0	(*.f32 x x)
✓	cost-diff	0	(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
✓	cost-diff	0	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
✓	cost-diff	0	(*.f32 x #s(literal 1/3 binary32))
✓	cost-diff	0	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	cost-diff	0	(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
✓	cost-diff	0	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
✓	cost-diff	0	(/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	cost-diff	0	(log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	0	(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))

Rules

3004×	`-lowering-.f32`
3004×	`-lowering-.f64`
2024×	`+-lowering-+.f64`
2024×	`+-lowering-+.f32`
1076×	`distribute-lft-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	45	333
1	141	306
2	385	302
3	891	302
4	2550	288
5	7785	284
0	8027	284

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1/2
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(* (* x x) 4)
(* x x)
x
4
(* (- 1 x) (+ x -1))
(- 1 x)
1
(+ x -1)
-1
(log (+ 1 (/ (* 2 x) (+ x -1))))
(/ (* 2 x) (+ x -1))
(* 2 x)
2
(+ (* x (* x (* x 1/3))) x)
(* x (* x (* x 1/3)))
x
(* x (* x 1/3))
(* x 1/3)
1/3
(+ (* (* x x) (* x (+ 1/3 (* (* x x) 1/5)))) x)
(* (* x x) (* x (+ 1/3 (* (* x x) 1/5))))
(* x x)
x
(* x (+ 1/3 (* (* x x) 1/5)))
(+ 1/3 (* (* x x) 1/5))
1/3
(* (* x x) 1/5)
1/5
(* x (+ (+ 1 (* x (* x 1/3))) (* x (* x (* (* x x) 1/5)))))
x
(+ (+ 1 (* x (* x 1/3))) (* x (* x (* (* x x) 1/5))))
(+ 1 (* x (* x 1/3)))
1
(* x (* x 1/3))
(* x 1/3)
1/3
(* x (* x (* (* x x) 1/5)))
(* x (* (* x x) 1/5))
(* (* x x) 1/5)
(* x x)
1/5
(+ (* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)
(* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* x x)
x
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
1/3
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(* x (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7

Outputs
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))))
1/2
#s(literal 1/2 binary32)
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(-.f32 (log1p.f32 (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (.f32 x (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(log1p.f32 (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))
(* (* x x) 4)
(.f32 x (.f32 x #s(literal 4 binary32)))
(* x x)
(*.f32 x x)
x
4
#s(literal 4 binary32)
(* (- 1 x) (+ x -1))
(*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))
(- 1 x)
(-.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)
(+ x -1)
(+.f32 x #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(log (+ 1 (/ (* 2 x) (+ x -1))))
(log1p.f32 (*.f32 x (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32)))))
(/ (* 2 x) (+ x -1))
(*.f32 x (/.f32 #s(literal 2 binary32) (+.f32 x #s(literal -1 binary32))))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
(+ (* x (* x (* x 1/3))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (* x (* x 1/3)))
(.f32 (.f32 x x) (*.f32 x #s(literal 1/3 binary32)))
x
(* x (* x 1/3))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* x 1/3)
(*.f32 x #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
(+ (* (* x x) (* x (+ 1/3 (* (* x x) 1/5)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* (* x x) (* x (+ 1/3 (* (* x x) 1/5))))
(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
(* x x)
(*.f32 x x)
x
(* x (+ 1/3 (* (* x x) 1/5)))
(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(+ 1/3 (* (* x x) 1/5))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
1/3
#s(literal 1/3 binary32)
(* (* x x) 1/5)
(.f32 (.f32 x x) #s(literal 1/5 binary32))
1/5
#s(literal 1/5 binary32)
(* x (+ (+ 1 (* x (* x 1/3))) (* x (* x (* (* x x) 1/5)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
x
(+ (+ 1 (* x (* x 1/3))) (* x (* x (* (* x x) 1/5))))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32))))))
(+ 1 (* x (* x 1/3)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32))))
1
#s(literal 1 binary32)
(* x (* x 1/3))
(.f32 x (.f32 x #s(literal 1/3 binary32)))
(* x 1/3)
(*.f32 x #s(literal 1/3 binary32))
1/3
#s(literal 1/3 binary32)
(* x (* x (* (* x x) 1/5)))
(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32))))
(* x (* (* x x) 1/5))
(.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32)))
(* (* x x) 1/5)
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* x x)
(*.f32 x x)
1/5
#s(literal 1/5 binary32)
(+ (* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))) (.f32 x (*.f32 x x)))
(* x x)
(*.f32 x x)
x
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))))
(+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
1/3
#s(literal 1/3 binary32)
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(* x (+ 1/5 (* (* x x) 1/7)))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(+ 1/5 (* (* x x) 1/7))
(+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))
1/5
#s(literal 1/5 binary32)
(* (* x x) 1/7)
(.f32 (.f32 x x) #s(literal 1/7 binary32))
1/7
#s(literal 1/7 binary32)

localize582.0ms (8.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
✓	accuracy	99.4%	(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
✓	accuracy	99.2%	(.f32 (.f32 x x) #s(literal 1/7 binary32))
✓	accuracy	99.2%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
✓	accuracy	99.9%	(.f32 x (.f32 x (.f32 (.f32 x x) #s(literal 1/5 binary32))))
✓	accuracy	99.8%	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.7%	(.f32 (.f32 x x) #s(literal 1/5 binary32))
✓	accuracy	99.1%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	99.9%	(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) #s(literal 1/5 binary32)))
✓	accuracy	99.7%	(.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
✓	accuracy	99.7%	(.f32 (.f32 x x) #s(literal 1/5 binary32))
✓	accuracy	99.1%	(.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))
✓	accuracy	100.0%	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
✓	accuracy	99.8%	(.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32))))
✓	accuracy	99.8%	(.f32 x (.f32 x #s(literal 1/3 binary32)))
✓	accuracy	99.1%	(*.f32 x #s(literal 1/3 binary32))
✓	accuracy	99.9%	(/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32)))
✓	accuracy	99.8%	(/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.8%	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))
✓	accuracy	99.7%	(*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))

Results

344.0ms	171×	1	valid
121.0ms	39×	5	exit
31.0ms	45×	0	valid
1.0ms	1×	0	invalid

Compiler

Compiled 389 to 44 computations (88.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

backward-pass: 74.0ms (24.3% of total)

ival-mult: 67.0ms (22% of total)

compiled-spec: 61.0ms (20% of total)

ival-log: 34.0ms (11.2% of total)

ival-add: 28.0ms (9.2% of total)

...c/correct-round.rkt:119:19: 22.0ms (7.2% of total)

ival-div: 8.0ms (2.6% of total)

ival-sub: 7.0ms (2.3% of total)

const: 3.0ms (1% of total)

series31.0ms (0.4%)

Counts

27 → 324

Calls

Call 1

Inputs
#<alt (* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))>
#<alt (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))>
#<alt (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))>
#<alt (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))>
#<alt (+ (* x (* x (* x 1/3))) x)>
#<alt (* x (* x (* x 1/3)))>
#<alt (* x (* x 1/3))>
#<alt (* x 1/3)>
#<alt (+ (* (* x x) (* x (+ 1/3 (* (* x x) 1/5)))) x)>
#<alt (* (* x x) (* x (+ 1/3 (* (* x x) 1/5))))>
#<alt (* x x)>
#<alt (* x (+ 1/3 (* (* x x) 1/5)))>
#<alt (+ (+ 1 (* x (* x 1/3))) (* x (* x (* (* x x) 1/5))))>
#<alt (* x (+ (+ 1 (* x (* x 1/3))) (* x (* x (* (* x x) 1/5)))))>
#<alt (+ 1 (* x (* x 1/3)))>
#<alt (+ (* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)>
#<alt (* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))>
#<alt (* (- 1 x) (+ x -1))>
#<alt (log (+ 1 (/ (* 2 x) (+ x -1))))>
#<alt (/ (* 2 x) (+ x -1))>
#<alt (* (* x x) 1/5)>
#<alt (+ 1/3 (* (* x x) 1/5))>
#<alt (* x (* x (* (* x x) 1/5)))>
#<alt (* (* x x) 1/7)>
#<alt (* x (+ 1/5 (* (* x x) 1/7)))>
#<alt (* x (* x (+ 1/5 (* (* x x) 1/7))))>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (- (log -3) (log 3)))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))>
#<alt (+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (- (log -3) (log 3))>
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))>
#<alt (- (log -3) (log 3))>
#<alt (- (+ (log -3) (* 2 (/ 1 x))) (log 3))>
#<alt (- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))>
#<alt (- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -20 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))>
#<alt (log -3)>
#<alt (+ (log -3) (* 8/3 (/ 1 x)))>
#<alt (+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))>
#<alt (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* -8 x) 4))>
#<alt (* (pow x 2) (- (* x (- (* -12 x) 8)) 4))>
#<alt (* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))>
#<alt -4>
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)>
#<alt (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))>
#<alt -4>
#<alt (* -1 (+ 4 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)>
#<alt (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 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)>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 3))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))>
#<alt (* 1/5 (pow x 5))>
#<alt (* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))>
#<alt 1>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (+ 1 (* 1/3 (pow x 2)))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 7))>
#<alt (* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* 1/5 (pow x 2))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))>
#<alt (* 1/7 (pow x 5))>
#<alt (* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt (* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* -2 x)>
#<alt (* x (- (* -4 x) 2))>
#<alt (* x (- (* x (- (* -26/3 x) 4)) 2))>
#<alt (* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))>
#<alt (log 3)>
#<alt (+ (log 3) (* 2/3 (/ 1 x)))>
#<alt (+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))>
#<alt (+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))>
#<alt (* -2 x)>
#<alt (* x (- (* -2 x) 2))>
#<alt (* x (- (* x (- (* -2 x) 2)) 2))>
#<alt (* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 2>
#<alt (+ 2 (* 2 (/ 1 x)))>
#<alt (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt (* 1/5 (pow x 2))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (+ 1/3 (* 1/5 (pow x 2)))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/5 (pow x 4))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/7 (pow x 2))>
#<alt (* 1/5 x)>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* x (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 3))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/5 (pow x 2))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* 1/7 (pow x 4))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))>

Calls

81 calls:

Time	Variable		Point	Expression
18.0ms	x	@	0	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1.0ms	x	@	inf	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
1.0ms	x	@	-inf	(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
0.0ms	x	@	0	(+ (* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)
0.0ms	x	@	-inf	(* x (* x (* x 1/3)))

rewrite485.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

6046×	`-lowering-.f32`
6046×	`-lowering-.f64`
3166×	`/-lowering-/.f32`
3166×	`/-lowering-/.f64`
2630×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	261
1	302	238
2	2939	222
0	11023	222

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 606

Calls

Call 1

Inputs
(* 1/2 (- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1))))))
(- (log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))) (log (+ 1 (/ (* 2 x) (+ x -1)))))
(log (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))))
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(+ (* x (* x (* x 1/3))) x)
(* x (* x (* x 1/3)))
(* x (* x 1/3))
(* x 1/3)
(+ (* (* x x) (* x (+ 1/3 (* (* x x) 1/5)))) x)
(* (* x x) (* x (+ 1/3 (* (* x x) 1/5))))
(* x x)
(* x (+ 1/3 (* (* x x) 1/5)))
(+ (+ 1 (* x (* x 1/3))) (* x (* x (* (* x x) 1/5))))
(* x (+ (+ 1 (* x (* x 1/3))) (* x (* x (* (* x x) 1/5)))))
(+ 1 (* x (* x 1/3)))
(+ (* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))) x)
(* (* x x) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* (- 1 x) (+ x -1))
(log (+ 1 (/ (* 2 x) (+ x -1))))
(/ (* 2 x) (+ x -1))
(* (* x x) 1/5)
(+ 1/3 (* (* x x) 1/5))
(* x (* x (* (* x x) 1/5)))
(* (* x x) 1/7)
(* x (+ 1/5 (* (* x x) 1/7)))
(* x (* x (+ 1/5 (* (* x x) 1/7))))

Outputs
(+.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))) (.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(+.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32)) (.f32 (neg.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (.f32 #s(literal 1/2 binary32) (neg.f32 (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(fma.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32) (.f32 (neg.f32 (log1p.f32 (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))))
(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(/.f32 (.f32 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32))) #s(literal 1/2 binary32)) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))))
(/.f32 (.f32 (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))) #s(literal 1/2 binary32)) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))))
(+.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (neg.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))
(+.f32 (neg.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x (.f32 x x)) #s(literal 8 binary32)) (.f32 (+.f32 x #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))))))) (log1p.f32 (/.f32 (-.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) x) (.f32 x #s(literal -2 binary32))))))
(+.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 4 binary32) (.f32 (/.f32 x (+.f32 x #s(literal -1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32)))))))) (log1p.f32 (.f32 #s(literal -2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))
(pow.f32 (/.f32 (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))) (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (.f32 (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))))
(-.f32 (log1p.f32 (/.f32 (.f32 (.f32 (.f32 x (.f32 x x)) (.f32 x (.f32 x x))) #s(literal 64 binary32)) (.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))) #s(literal 1 binary32)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))) (.f32 (*.f32 x x) #s(literal 4 binary32))))))))
(-.f32 (log1p.f32 (neg.f32 (/.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))) (.f32 (.f32 x x) #s(literal 4 binary32)))))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))))
(-.f32 (/.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))))) (/.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) #s(literal 3 binary32)) (+.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) #s(literal 2 binary32)) (.f32 (log1p.f32 (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (log.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))))))
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(+.f32 (.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x (.f32 x #s(literal 1/5 binary32))))
(+.f32 (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (.f32 x x)) (.f32 x (.f32 x #s(literal 1/5 binary32))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 x (.f32 x #s(literal 1/5 binary32)) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 (.f32 x x) #s(literal 1/5 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(fma.f32 (.f32 x x) (.f32 (.f32 x x) #s(literal 1/7 binary32)) (.f32 x (*.f32 x #s(literal 1/5 binary32))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 #s(literal 1/5 binary32) (.f32 x x) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(fma.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (.f32 x x) (.f32 x (*.f32 x #s(literal 1/5 binary32))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 x x) (.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 x (.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(fma.f32 (.f32 x #s(literal 1/5 binary32)) x (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(/.f32 (.f32 (.f32 x x) (+.f32 #s(literal 1/125 binary32) (.f32 (.f32 x (.f32 x x)) (.f32 (.f32 x (.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) #s(literal 1/7 binary32)) (-.f32 (.f32 (*.f32 x x) #s(literal 1/7 binary32)) #s(literal 1/5 binary32)))))
(/.f32 (.f32 (.f32 x x) (-.f32 #s(literal 1/25 binary32) (.f32 (.f32 (.f32 x x) (.f32 x x)) #s(literal 1/49 binary32)))) (+.f32 #s(literal 1/5 binary32) (.f32 #s(literal -1/7 binary32) (.f32 x x))))
(.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))))
(.f32 (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32))) (.f32 x x))
(.f32 (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (.f32 x x) #s(literal 1/7 binary32)))) x)

simplify305.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

3478×	`-lowering-.f32`
3478×	`-lowering-.f64`
3252×	`+-lowering-+.f64`
3252×	`+-lowering-+.f32`
2868×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	2719
1	975	2315
2	2678	2269
0	8341	2269

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 324

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (- (log -3) (log 3)))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (- (log -3) (log 3))))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5)))))) (log 3))
(- (log -3) (log 3))
(- (+ (log -3) (* 2 (/ 1 x))) (log 3))
(- (+ (log -3) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x)))) (log 3))
(- (+ (log -3) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x))) (log 3))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -20 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -48 x) 20)) 8)) 4))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (+ (* 8/3 (/ 1 x)) (* 80/81 (/ 1 (pow x 3))))))
(log -3)
(+ (log -3) (* 8/3 (/ 1 x)))
(+ (log -3) (+ (/ 4/9 (pow x 2)) (* 8/3 (/ 1 x))))
(+ (log -3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 80/81 (/ 1 x))) x)) 8/3) x)))
(* -4 (pow x 2))
(* (pow x 2) (- (* -8 x) 4))
(* (pow x 2) (- (* x (- (* -12 x) 8)) 4))
(* (pow x 2) (- (* x (- (* x (- (* -16 x) 12)) 8)) 4))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 4 (* 8 (/ 1 x))))
-4
(* -1 (+ 4 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 4)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 4)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* 1/3 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 3))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 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)
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 3))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 4))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(* 1/5 (pow x 5))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* 1/3 (pow x 2)))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (+ (* 1/5 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 4))) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* 1/5 (pow x 2))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 7))
(* (pow x 7) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* 1/3 x)
(* x (+ 1/3 (* 1/5 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(* 1/7 (pow x 5))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -1 x))) 1)
(- (* x (+ 2 (* -1 x))) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* -2 x)
(* x (- (* -4 x) 2))
(* x (- (* x (- (* -26/3 x) 4)) 2))
(* x (- (* x (- (* x (- (* -20 x) 26/3)) 4)) 2))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 26/81 (/ 1 (pow x 3))))))
(log 3)
(+ (log 3) (* 2/3 (/ 1 x)))
(+ (log 3) (+ (/ 4/9 (pow x 2)) (* 2/3 (/ 1 x))))
(+ (log 3) (* -1 (/ (- (* -1 (/ (+ 4/9 (* 26/81 (/ 1 x))) x)) 2/3) x)))
(* -2 x)
(* x (- (* -2 x) 2))
(* x (- (* x (- (* -2 x) 2)) 2))
(* x (- (* x (- (* x (- (* -2 x) 2)) 2)) 2))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
2
(+ 2 (* 2 (/ 1 x)))
(+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
(* 1/5 (pow x 2))
1/3
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(+ 1/3 (* 1/5 (pow x 2)))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/5 (pow x 4))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/7 (pow x 2))
(* 1/5 x)
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 3))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/5 (pow x 2))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* 1/7 (pow x 4))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32)))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))))))
(* 1/2 (- (log -3) (log 3)))
(*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32))))
(+ (* 1/2 (- (log -3) (log 3))) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (log.f32 #s(literal -3 binary32)) (log.f32 #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* 1/2 (- (log -3) (log 3))) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
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(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/5 (pow x 4))
(.f32 x (.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x x))))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/7 (pow x 2))
(.f32 x (.f32 x #s(literal 1/7 binary32)))
(* 1/5 x)
(*.f32 x #s(literal 1/5 binary32))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* 1/7 (pow x 3))
(.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* 1/7 (pow x 3))
(.f32 #s(literal 1/7 binary32) (.f32 x (*.f32 x x)))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* (pow x 3) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 x (*.f32 x #s(literal 1/7 binary32)))))
(* 1/5 (pow x 2))
(.f32 (.f32 x x) #s(literal 1/5 binary32))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
(* 1/7 (pow x 4))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
(* 1/7 (pow x 4))
(.f32 x (.f32 #s(literal 1/7 binary32) (.f32 x (.f32 x x))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))
(* (pow x 4) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (+.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x #s(literal 1/7 binary32)))))

eval107.0ms (1.5%)

Compiler: Compiled 30591 to 2938 computations (90.4% saved)

prune104.0ms (1.5%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	1088	1	1089
Fresh	0	0	0
Picked	1	4	5
Done	0	4	4
Total	1089	9	1098

Accuracy

100.0%

Counts

1098 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
✓	99.4%	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)
✓	98.7%	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
▶	20.9%	(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
✓	99.1%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	99.3%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	98.7%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.5%	x

Compiler

Compiled 142 to 91 computations (35.9% saved)

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))
✓	cost-diff	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))
✓	cost-diff	(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))

Rules

1814×	`fnmadd-define`
1608×	`fma-define`
1360×	`sum4-define`
1334×	`fma-lowering-fma.f32`
1334×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	19	146
1	48	138
2	113	138
3	256	138
4	923	121
5	3080	116
0	8069	116

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))) 1/2)
(log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1)))))
(/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))
(+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))
1
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(* (* x x) 4)
(* x x)
x
4
(* (- 1 x) (+ x -1))
(- 1 x)
(+ x -1)
-1
(+ 1 (/ (* x 2) (+ x -1)))
(/ (* x 2) (+ x -1))
(* x 2)
2
1/2

Outputs
(* (log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))) 1/2)
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 #s(literal 2 binary32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))) #s(literal 1/2 binary32))
(log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1)))))
(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 #s(literal 2 binary32) x))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))))))
(/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (.f32 x (-.f32 #s(literal 2 binary32) x))))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))))
(+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x)))))
1
#s(literal 1 binary32)
(/ (* (* x x) 4) (* (- 1 x) (+ x -1)))
(/.f32 (.f32 x (.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x))))
(* (* x x) 4)
(.f32 x (.f32 x #s(literal 4 binary32)))
(* x x)
(*.f32 x x)
x
4
#s(literal 4 binary32)
(* (- 1 x) (+ x -1))
(+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x)))
(- 1 x)
(-.f32 #s(literal 1 binary32) x)
(+ x -1)
(+.f32 x #s(literal -1 binary32))
-1
#s(literal -1 binary32)
(+ 1 (/ (* x 2) (+ x -1)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32)))))
(/ (* x 2) (+ x -1))
(*.f32 #s(literal 2 binary32) (/.f32 x (+.f32 x #s(literal -1 binary32))))
(* x 2)
(*.f32 x #s(literal 2 binary32))
2
#s(literal 2 binary32)
1/2
#s(literal 1/2 binary32)

localize143.0ms (2.1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f32 (.f32 x x) #s(literal 4 binary32))
✓	accuracy	99.8%	(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))
✓	accuracy	99.7%	(*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))
✓	accuracy	21.0%	(log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32))))))

Results

78.0ms	143×	1	valid
27.0ms	113×	0	valid

Compiler

Compiled 155 to 20 computations (87.1% saved)

Precisions

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

ival-mult: 15.0ms (26.4% of total)

backward-pass: 12.0ms (21.2% of total)

ival-log: 10.0ms (17.6% of total)

ival-div: 9.0ms (15.9% of total)

ival-add: 6.0ms (10.6% of total)

const: 2.0ms (3.5% of total)

ival-sub: 2.0ms (3.5% of total)

series3.0ms (0%)

Counts

6 → 72

Calls

Call 1

Inputs
#<alt (* (log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))) 1/2)>
#<alt (log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1)))))>
#<alt (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))>
#<alt (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))>
#<alt (* (- 1 x) (+ x -1))>
#<alt (* (* x x) 4)>

Outputs
#<alt x>
#<alt (* x (+ 1 (* 1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))>
#<alt (* 1/2 (log -1))>
#<alt (+ (* 1/2 (log -1)) (/ 1 x))>
#<alt (+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))>
#<alt (+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))>
#<alt (log -1)>
#<alt (+ (log -1) (* 2 (/ 1 x)))>
#<alt (+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))>
#<alt (+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* -4 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -8 x) 4)))>
#<alt (+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4)))>
#<alt -3>
#<alt (* -1 (+ 3 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x))))>
#<alt -3>
#<alt (* -1 (+ 3 (* 8 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3)>
#<alt -1>
#<alt (- (* 2 x) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (- (* x (+ 2 (* -1 x))) 1)>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>
#<alt (* 4 (pow x 2))>

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(* (log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))) 1/2)
0.0ms	x	@	inf	(* (* x x) 4)
0.0ms	x	@	inf	(* (log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))) 1/2)
0.0ms	x	@	-inf	(* (log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))) 1/2)
0.0ms	x	@	0	(* (* x x) 4)

rewrite592.0ms (8.6%)

Algorithm

1×	batch-egg-rewrite

Rules

3956×	`/-lowering-/.f32`
3956×	`/-lowering-/.f64`
3920×	`-lowering-.f32`
3920×	`-lowering-.f64`
2174×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	101
1	115	92
2	1182	80
0	8390	80

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 196

Calls

Call 1

Inputs
(* (log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))) 1/2)
(log (/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1)))))
(/ (+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1)))) (+ 1 (/ (* x 2) (+ x -1))))
(+ 1 (/ (* (* x x) 4) (* (- 1 x) (+ x -1))))
(* (- 1 x) (+ x -1))
(* (* x x) 4)

Outputs
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))))))
(neg.f32 (log.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1 binary32))))
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(/.f32 (+.f32 (.f32 (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) #s(literal -1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) #s(literal -1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) x) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))))) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))))) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) #s(literal -1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) x))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))))) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) x))) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (.f32 x x))) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x))) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) x))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x)))))) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 x (-.f32 #s(literal 1 binary32) (.f32 x x))))) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) x))) (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) x)) (.f32 (+.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) x))) (*.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x x))))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (+.f32 (.f32 x x) #s(literal -1 binary32)))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))) (+.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x x))))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 (.f32 x x) #s(literal -1 binary32)))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (neg.f32 (.f32 (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x x))) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (neg.f32 (.f32 (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) x)) (+.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x))))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) x) (+.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (+.f32 (.f32 (.f32 x (-.f32 #s(literal 1 binary32) x)) (.f32 (.f32 x (-.f32 #s(literal 1 binary32) x)) (.f32 x (-.f32 #s(literal 1 binary32) x)))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))))) (neg.f32 (+.f32 (.f32 (.f32 x (-.f32 #s(literal 1 binary32) x)) (.f32 x (-.f32 #s(literal 1 binary32) x))) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)) (.f32 (*.f32 x (-.f32 #s(literal 1 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) x)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 x (-.f32 #s(literal 1 binary32) x)) (.f32 x (-.f32 #s(literal 1 binary32) x))) (.f32 (-.f32 #s(literal 1 binary32) x) (-.f32 #s(literal 1 binary32) x)))) (neg.f32 (-.f32 (*.f32 x (-.f32 #s(literal 1 binary32) x)) (neg.f32 (-.f32 #s(literal 1 binary32) x)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x x))))) (neg.f32 (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 (.f32 x x) #s(literal -1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (neg.f32 (.f32 (+.f32 x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 x x)))) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x (.f32 x x))) (+.f32 x #s(literal -1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 1 binary32) x)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 x x)) (+.f32 x #s(literal -1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 x (.f32 x x))) (-.f32 #s(literal 1 binary32) x))) (neg.f32 (+.f32 (.f32 x x) (+.f32 #s(literal 1 binary32) x))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 x x) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(*.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32)))
(*.f32 (+.f32 x #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) x))
(.f32 x (.f32 x #s(literal 4 binary32)))
(.f32 (.f32 x x) #s(literal 4 binary32))
(.f32 #s(literal 4 binary32) (.f32 x x))
(.f32 (.f32 x #s(literal 4 binary32)) x)

simplify248.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

2898×	`-lowering-.f32`
2898×	`-lowering-.f64`
2570×	`fma-lowering-fma.f32`
2570×	`fma-lowering-fma.f64`
2338×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	163	608
1	496	522
2	1387	505
3	3898	505
4	7441	505
0	8538	505

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

Inputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(* 1/2 (log -1))
(+ (* 1/2 (log -1)) (/ 1 x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(* 2 x)
(* x (+ 2 (* 2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(log -1)
(+ (log -1) (* 2 (/ 1 x)))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
1
(+ 1 (* -4 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -8 x) 4)))
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4)))
-3
(* -1 (+ 3 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x))))
-3
(* -1 (+ 3 (* 8 (/ 1 x))))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3)
-1
(- (* 2 x) 1)
(- (* x (+ 2 (* -1 x))) 1)
(- (* x (+ 2 (* -1 x))) 1)
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(* -1 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))

Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(* x (+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (+ (/ 1 x) (* 1/5 (/ 1 (pow x 5))))))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x x))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/5 binary32) (.f32 x (.f32 x (.f32 x (*.f32 x x))))))))
(* 1/2 (log -1))
(*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32)))
(+ (* 1/2 (log -1)) (/ 1 x))
(+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) x))
(+ (* 1/2 (log -1)) (+ (/ 1/3 (pow x 3)) (/ 1 x)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/3 binary32) (.f32 x (*.f32 x x)))))
(+ (* -1 (/ (- (* -1 (/ (+ 1/3 (* 1/5 (/ 1 (pow x 2)))) (pow x 2))) 1) x)) (* 1/2 (log -1)))
(+.f32 (.f32 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1/3 binary32) (/.f32 #s(literal 1/5 binary32) (.f32 x x))) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2/3 (pow x 2))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (*.f32 x #s(literal 2/3 binary32)))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* 2/5 (pow x 2))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 x (*.f32 x #s(literal 2/5 binary32)))))))
(* x (+ 2 (* (pow x 2) (+ 2/3 (* (pow x 2) (+ 2/5 (* 2/7 (pow x 2))))))))
(.f32 x (+.f32 #s(literal 2 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 2/5 binary32) (.f32 (*.f32 x x) #s(literal 2/7 binary32)))))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (+ (* 2 (/ 1 x)) (* 2/5 (/ 1 (pow x 5))))))
(+.f32 (/.f32 #s(literal 2 binary32) x) (+.f32 (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/5 binary32) (.f32 x (.f32 x (.f32 x (.f32 x x))))))))
(log -1)
(log.f32 #s(literal -1 binary32))
(+ (log -1) (* 2 (/ 1 x)))
(+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2 binary32) x))
(+ (log -1) (+ (/ 2/3 (pow x 3)) (* 2 (/ 1 x))))
(+.f32 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 2/3 binary32) (.f32 x (.f32 x x)))))
(+ (log -1) (* -1 (/ (- (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow x 2)))) (pow x 2))) 2) x)))
(-.f32 (log.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2/3 binary32) (/.f32 #s(literal -2/5 binary32) (.f32 x x))) (.f32 x x)) #s(literal -2 binary32)) x))
1
#s(literal 1 binary32)
(+ 1 (* 2 x))
(+.f32 #s(literal 1 binary32) (*.f32 x #s(literal 2 binary32)))
(+ 1 (* x (+ 2 (* 2 x))))
(+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x #s(literal 2 binary32)))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(+.f32 #s(literal 1 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32)))))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -2 binary32) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) x)) x)) x))
1
#s(literal 1 binary32)
(+ 1 (* -4 (pow x 2)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal -4 binary32))))
(+ 1 (* (pow x 2) (- (* -8 x) 4)))
(+.f32 #s(literal 1 binary32) (.f32 x (.f32 x (+.f32 #s(literal -4 binary32) (*.f32 x #s(literal -8 binary32))))))
(+ 1 (* (pow x 2) (- (* x (- (* -12 x) 8)) 4)))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal -4 binary32) (.f32 x (+.f32 #s(literal -8 binary32) (.f32 x #s(literal -12 binary32)))))))
-3
#s(literal -3 binary32)
(* -1 (+ 3 (* 8 (/ 1 x))))
(+.f32 #s(literal -3 binary32) (/.f32 #s(literal -8 binary32) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)
(-.f32 #s(literal -3 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 12 binary32) x)) x))
(- (* -1 (/ (+ 12 (* 16 (/ 1 x))) (pow x 2))) (+ 3 (* 8 (/ 1 x))))
(+.f32 #s(literal -3 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) (+.f32 (/.f32 (+.f32 #s(literal 12 binary32) (/.f32 #s(literal 16 binary32) x)) x) #s(literal 8 binary32))))
-3
#s(literal -3 binary32)
(* -1 (+ 3 (* 8 (/ 1 x))))
(+.f32 #s(literal -3 binary32) (/.f32 #s(literal -8 binary32) x))
(- (* -1 (/ (+ 8 (* 12 (/ 1 x))) x)) 3)
(-.f32 #s(literal -3 binary32) (/.f32 (+.f32 #s(literal 8 binary32) (/.f32 #s(literal 12 binary32) x)) x))
(- (* -1 (/ (+ 8 (+ (* 12 (/ 1 x)) (/ 16 (pow x 2)))) x)) 3)
(+.f32 (/.f32 (+.f32 #s(literal -8 binary32) (/.f32 (+.f32 #s(literal -12 binary32) (/.f32 #s(literal -16 binary32) x)) x)) x) #s(literal -3 binary32))
-1
#s(literal -1 binary32)
(- (* 2 x) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x #s(literal 2 binary32)))
(- (* x (+ 2 (* -1 x))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x)))
(- (* x (+ 2 (* -1 x))) 1)
(+.f32 #s(literal -1 binary32) (*.f32 x (-.f32 #s(literal 2 binary32) x)))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(.f32 x (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x))))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) x)))
(* (pow x 2) (- (* 2 (/ 1 x)) (+ 1 (/ 1 (pow x 2)))))
(.f32 (.f32 x x) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) x)))
(* -1 (pow x 2))
(-.f32 #s(literal 0 binary32) (*.f32 x x))
(* (pow x 2) (- (* 2 (/ 1 x)) 1))
(.f32 x (.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) x))))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(.f32 (.f32 x x) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) x)))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 2) x)) 1))
(.f32 (.f32 x x) (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) x)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))
(* 4 (pow x 2))
(.f32 x (.f32 x #s(literal 4 binary32)))

eval31.0ms (0.4%)

Compiler: Compiled 10835 to 1398 computations (87.1% saved)

prune36.0ms (0.5%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	268	9	277

Accuracy

100.0%

Counts

277 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.1%	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
✓	99.4%	(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)
✓	98.7%	(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
✓	20.9%	(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
✓	99.1%	(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
✓	99.3%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
✓	98.7%	(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
✓	99.8%	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
✓	97.5%	x

Compiler

Compiled 334 to 160 computations (52.1% saved)

regimes19.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) x)))))
(.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 x #s(literal 2 binary32)) (+.f32 x #s(literal -1 binary32)))))) #s(literal 1/2 binary32))
(.f32 #s(literal 1/2 binary32) (-.f32 (log1p.f32 (/.f32 (.f32 (.f32 x x) #s(literal 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) x) (+.f32 x #s(literal -1 binary32))))) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (+.f32 x #s(literal -1 binary32))))))

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))

Calls

4 calls:

6.0ms	x
4.0ms	(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
4.0ms	(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
4.0ms	(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))`
99.8%	1	`(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))`
99.8%	1	`(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))`

Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes4.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)

Outputs
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))

Outputs
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
99.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (.f32 x (.f32 x #s(literal 1/3 binary32)))) (.f32 x (.f32 x (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))

Outputs
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))

Outputs
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.1%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)

Outputs
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
98.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
x
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))

Outputs
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
98.7%	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
x

Outputs
x

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
97.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary32`
22×	`+-commutative_binary32`
4×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	101
1	72	101
2	76	101
3	78	101
4	79	101

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
x

Outputs
(.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) x)
(+.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 x (.f32 x (+.f32 #s(literal 1/5 binary32) (.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(+.f32 (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(+.f32 x (.f32 (.f32 x x) (.f32 x (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (.f32 x x) (+.f32 #s(literal 1/3 binary32) (.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(+.f32 (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))) x)
(+.f32 x (.f32 x (.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(.f32 x (+.f32 #s(literal 1 binary32) (.f32 (*.f32 x x) #s(literal 1/3 binary32))))
x

soundness969.0ms (14%)

Rules

5176×	`-lowering-.f32`
5176×	`-lowering-.f64`
2740×	`+-lowering-+.f64`
2740×	`+-lowering-+.f32`
2736×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	187
1	230	166
2	2225	163
0	9742	163
0	106	394
1	331	345
2	992	334
3	2914	331
4	5296	331
0	8411	331

Stop Event

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

Compiler

Compiled 227 to 118 computations (48% saved)

preprocess35.0ms (0.5%)

Compiler: Compiled 226 to 96 computations (57.5% saved)

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	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

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	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35

analyze2.0ms (0%)

sample429.0ms (6.2%)

preprocess55.0ms (0.8%)

explain187.0ms (2.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.3%)

localize115.0ms (1.7%)

series27.0ms (0.4%)

rewrite239.0ms (3.5%)

simplify255.0ms (3.7%)

eval14.0ms (0.2%)

prune22.0ms (0.3%)

simplify194.0ms (2.8%)

localize378.0ms (5.5%)

series16.0ms (0.2%)

rewrite446.0ms (6.5%)

simplify287.0ms (4.1%)

eval100.0ms (1.4%)

prune85.0ms (1.2%)

simplify210.0ms (3%)

localize582.0ms (8.4%)

series31.0ms (0.4%)

rewrite485.0ms (7%)

simplify305.0ms (4.4%)

eval107.0ms (1.5%)

prune104.0ms (1.5%)

simplify112.0ms (1.6%)

localize143.0ms (2.1%)

series3.0ms (0%)

rewrite592.0ms (8.6%)

simplify248.0ms (3.6%)

eval31.0ms (0.4%)

prune36.0ms (0.5%)

regimes19.0ms (0.3%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0.1%)

regimes2.0ms (0%)

regimes1.0ms (0%)

simplify9.0ms (0.1%)

soundness969.0ms (14%)

preprocess35.0ms (0.5%)

end0.0ms (0%)

Profiling

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	10	10
1	20	10
2	28	10
3	37	10
4	47	10
5	66	10
6	111	10
7	188	10
8	360	10
9	461	10
10	528	10
11	542	10
12	651	10
0	651	10

Iter	Nodes	Cost
0	10	35
1	20	35
2	28	35
3	37	35
4	47	35
5	66	35
6	111	35
7	188	35
8	360	35
9	461	35
10	528	35
11	542	35
12	651	35
0	651	35