Rust f32::atanh

Time bar (total: 7.8s)

analyze2.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
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: 0.0ms
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-atanh: 0.0ms (0% of total)

sample342.0ms (4.4%)

Results
247.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-atanh: 74.0ms (88.7% of total)
const: 7.0ms (8.4% of total)
backward-pass: 3.0ms (3.6% of total)
Bogosity

preprocess45.0ms (0.6%)

Algorithm
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)

IterNodesCost
059
1119
2159
3189
4309
5379
6469
7529
01010
12010
22810
33710
44710
56610
611110
718810
836010
946110
1052810
1154210
1265110
065110
Stop Event
iter limit
saturated
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)))

explain199.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
00-0-(*.f32 #s(literal 2 binary32) x)
00-0-(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
00-0-(-.f32 #s(literal 1 binary32) x)
00-0-(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
00-0-#s(literal 1/2 binary32)
00-0-#s(literal 1 binary32)
00-0-#s(literal 2 binary32)
Results
85.0ms304×1valid
47.0ms208×0valid
Compiler

Compiled 85 to 29 computations (65.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
compiled-spec: 42.0ms (36.9% of total)
backward-pass: 25.0ms (21.9% of total)
ival-log: 15.0ms (13.2% of total)
ival-mult: 13.0ms (11.4% of total)
ival-div: 6.0ms (5.3% of total)
ival-add: 5.0ms (4.4% of total)
ival-sub: 5.0ms (4.4% of total)
const: 2.0ms (1.8% 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
StatusAccuracyProgram
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)

simplify21.0ms (0.3%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 #s(literal 2 binary32) x)
cost-diff0
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
cost-diff0
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
cost-diff0
(*.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)

IterNodesCost
01035
12035
22835
33735
44735
56635
611135
718835
836035
946135
1052835
1154235
1265135
065135
Stop Event
iter limit
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)

localize81.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f32 #s(literal 2 binary32) x)
accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
accuracy99.9%
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
accuracy99.9%
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Results
52.0ms152×1valid
11.0ms104×0valid
Compiler

Compiled 37 to 10 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
compiled-spec: 15.0ms (31.4% of total)
ival-mult: 8.0ms (16.7% of total)
ival-log: 8.0ms (16.7% of total)
ival-add: 5.0ms (10.5% of total)
ival-sub: 4.0ms (8.4% of total)
backward-pass: 4.0ms (8.4% of total)
ival-div: 3.0ms (6.3% of total)
const: 1.0ms (2.1% of total)

series5.0ms (0.1%)

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:

TimeVariablePointExpression
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)

rewrite252.0ms (3.2%)

Algorithm
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)

IterNodesCost
01028
15028
241728
3605428
0824128
Stop Event
iter limit
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 (neg.f32 (+.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 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 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 #s(literal 4 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) (/.f32 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 #s(literal 1/2 binary32) (/.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)))) #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 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 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 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 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 #s(literal 1 binary32) 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 (-.f32 #s(literal 1 binary32) x) x)) #s(literal 1 binary32))
(*.f32 (*.f32 x #s(literal -2 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)))
(*.f32 (*.f32 x #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) x)) #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 #s(literal 1 binary32) x))))
(*.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 #s(literal 1 binary32) x)) (*.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 #s(literal 1 binary32) x))))
(*.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 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 binary32) x))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 #s(literal 1 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))) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(*.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))) (neg.f32 (+.f32 #s(literal 1 binary32) x)))
(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))

simplify227.0ms (2.9%)

Algorithm
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)

IterNodesCost
0106394
1331359
2991349
32893344
45281344
08394344
Stop Event
iter limit
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 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 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 binary32) x) (+.f32 (*.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 #s(literal 1/2 binary32) (log.f32 #s(literal -1 binary32))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.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 #s(literal 1 binary32) x) (+.f32 (*.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 #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 (*.f32 x 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 (*.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 (log.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) x) (/.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 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #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 (/.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 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) x)) x) #s(literal -2 binary32)) 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 581 computations (80.3% saved)

prune24.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1487155
Fresh000
Picked011
Done000
Total1488156
Accuracy
100.0%
Counts
156 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(*.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 binary32))
99.4%
(*.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)))))))))
99.3%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
98.7%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
99.3%
(*.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))))
99.9%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.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)))))
97.0%
x
Compiler

Compiled 255 to 161 computations (36.9% saved)

simplify212.0ms (2.7%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 x x)
cost-diff0
(*.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-diff0
(+.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-diff0
(*.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-diff0
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
cost-diff0
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))))
cost-diff0
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))
cost-diff0
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
cost-diff64
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))
cost-diff384
(+.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)))
cost-diff384
(log1p.f32 (+.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))))
cost-diff384
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.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)))))
Rules
2346×fma-lowering-fma.f32
2346×fma-lowering-fma.f64
2066×fma-define
1936×*-lowering-*.f32
1936×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038319
1131291
2410286
31347283
43129283
55095283
66341283
08013283
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))))
1/2
(log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))
(+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))
(* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x)))
(/ (* 2 x) (- 1 (* x (* x x))))
(* 2 x)
2
x
(- 1 (* x (* x x)))
1
(* x (* x x))
(* x x)
(* x (+ 1 x))
(+ 1 x)
(* (/ (* 2 x) (- 1 (* x (* x x)))) 1)
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 (+ 1/3 (* x (* x 1/5))))
(+ 1/3 (* x (* x 1/5)))
1/3
(* x (* x 1/5))
(* 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 x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))))
1/2
#s(literal 1/2 binary32)
(log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))))
(+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (+.f32 #s(literal 1 binary32) x))))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x)))
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1 binary32) x)))) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(/ (* 2 x) (- 1 (* x (* x x))))
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))))
(* 2 x)
(*.f32 #s(literal 2 binary32) x)
2
#s(literal 2 binary32)
x
(- 1 (* x (* x x)))
(-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))
1
#s(literal 1 binary32)
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)
(* x (+ 1 x))
(*.f32 x (+.f32 #s(literal 1 binary32) x))
(+ 1 x)
(+.f32 #s(literal 1 binary32) x)
(* (/ (* 2 x) (- 1 (* x (* x x)))) 1)
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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 (+ 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))
(* x 1/5)
(*.f32 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.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)

localize364.0ms (4.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.7%
(*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
accuracy99.5%
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
accuracy99.4%
(*.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)))))))
accuracy99.3%
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
accuracy99.7%
(*.f32 x (*.f32 x #s(literal 1/5 binary32)))
accuracy99.7%
(*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
accuracy99.4%
(*.f32 x #s(literal 1/5 binary32))
accuracy99.0%
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
accuracy100.0%
(*.f32 x x)
accuracy100.0%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))
accuracy99.8%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
accuracy99.4%
(*.f32 #s(literal 1/3 binary32) (*.f32 x x))
accuracy99.9%
(log1p.f32 (+.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))))
accuracy99.8%
(*.f32 x (+.f32 #s(literal 1 binary32) x))
accuracy99.8%
(*.f32 x (*.f32 x x))
accuracy99.7%
(*.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)))
Results
194.0ms152×1valid
73.0ms104×0valid
Compiler

Compiled 375 to 38 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-mult: 60.0ms (38.7% of total)
backward-pass: 25.0ms (16.1% of total)
...c/correct-round.rkt:119:19: 23.0ms (14.8% of total)
ival-add: 18.0ms (11.6% of total)
compiled-spec: 13.0ms (8.4% of total)
ival-log: 8.0ms (5.2% of total)
ival-div: 3.0ms (1.9% of total)
ival-sub: 3.0ms (1.9% of total)
const: 1.0ms (0.6% of total)

series22.0ms (0.3%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))))>
#<alt (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))>
#<alt (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))>
#<alt (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)>
#<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 (+ 1/3 (* 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 (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x)))>
#<alt (* x (* x x))>
#<alt (* x (+ 1 x))>
#<alt (* x 1/5)>
#<alt (* 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 -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 (* x (+ 2 (* 2 (pow x 3))))>
#<alt (* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))>
#<alt (* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))>
#<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 (* 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 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 (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 x)))>
#<alt (* (pow x 2) (+ 2 (* x (+ 2 (* 2 (pow x 2))))))>
#<alt (* (pow x 2) (+ 2 (* x (+ 2 (* (pow x 2) (+ 2 (* 2 x)))))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 x))))>
#<alt -2>
#<alt (* -1 (+ 2 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) 2)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 2)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 x)>
#<alt (* 1/5 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 (* 1/7 (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

69 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(* x (+ 1/5 (* (* x x) 1/7)))
1.0ms
x
@inf
(* (/ (* 2 x) (- 1 (* x (* x x)))) 1)
1.0ms
x
@0
(* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))))
0.0ms
x
@inf
(* x (+ 1 (* 1/3 (* x x))))
0.0ms
x
@inf
(* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))))

rewrite764.0ms (9.8%)

Algorithm
batch-egg-rewrite
Rules
4778×*-lowering-*.f32
4778×*-lowering-*.f64
2490×fma-lowering-fma.f32
2490×fma-lowering-fma.f64
2340×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038249
1249225
22506220
08883220
Stop Event
iter limit
node limit
Counts
23 → 651
Calls
Call 1
Inputs
(* 1/2 (log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1)))))
(log (+ 1 (+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))))
(+ (* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x))) (* (/ (* 2 x) (- 1 (* x (* x x)))) 1))
(* (/ (* 2 x) (- 1 (* x (* x x)))) 1)
(* 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 (+ 1/3 (* 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))))))
(* (/ (* 2 x) (- 1 (* x (* x x)))) (* x (+ 1 x)))
(* x (* x x))
(* x (+ 1 x))
(* x 1/5)
(* 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 #s(literal 1/2 binary32) (log1p.f32 (/.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 (log1p.f32 (/.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))))) #s(literal 1/2 binary32))
(log1p.f32 (/.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)))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.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 (*.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)))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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 (+.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))))))))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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 (log1p.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 8 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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 (+.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))))))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.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 (*.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)))) #s(literal 1 binary32)))))))
(+.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x 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))))))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.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))))))))
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(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) (-.f32 #s(literal 1 binary32) x))
(*.f32 x (+.f32 #s(literal 1 binary32) x))
(*.f32 (+.f32 #s(literal 1 binary32) x) x)
(*.f32 x #s(literal 1/5 binary32))
(*.f32 #s(literal 1/5 binary32) x)
(*.f32 x (*.f32 x #s(literal 1/5 binary32)))
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
(*.f32 #s(literal 1/5 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal 1/5 binary32)) x)
(*.f32 x (*.f32 x #s(literal 1/7 binary32)))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(*.f32 #s(literal 1/7 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal 1/7 binary32)) x)
(+.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 x #s(literal 1/5 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (*.f32 x x) (*.f32 x #s(literal 1/7 binary32)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (*.f32 x (*.f32 x x)) #s(literal 1/7 binary32) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 #s(literal 1/5 binary32) x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(fma.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x x)) (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) x (*.f32 x #s(literal 1/5 binary32)))
(fma.f32 (*.f32 x #s(literal 1/7 binary32)) (*.f32 x x) (*.f32 x #s(literal 1/5 binary32)))
(/.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/125 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32))))) (+.f32 (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32))) (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x #s(literal 1/5 binary32))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (-.f32 (*.f32 x #s(literal 1/5 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(/.f32 (*.f32 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 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 (*.f32 x x) #s(literal 1/7 binary32))))
(/.f32 (*.f32 (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/343 binary32)))) x) (+.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 #s(literal 1/25 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/49 binary32))) x) (-.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(*.f32 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))) x)
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) x))
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x)) (*.f32 (*.f32 x 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 (*.f32 x 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 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)))
(fma.f32 (*.f32 (*.f32 x x) #s(literal 1/7 binary32)) (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))
(/.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 (*.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)

simplify269.0ms (3.5%)

Algorithm
egg-herbie
Rules
3786×*-lowering-*.f32
3786×*-lowering-*.f64
2782×/-lowering-/.f32
2782×/-lowering-/.f64
2116×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02262284
17782111
224392061
374282058
083222058
Stop Event
iter limit
node limit
Counts
276 → 276
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)
(* x (+ 2 (* 2 (pow x 3))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
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)))))
(* 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)))))
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))))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 x)))
(* (pow x 2) (+ 2 (* x (+ 2 (* 2 (pow x 2))))))
(* (pow x 2) (+ 2 (* x (+ 2 (* (pow x 2) (+ 2 (* 2 x)))))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) 2)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 x))))
-2
(* -1 (+ 2 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)) 2)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 x)
(* 1/5 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))
(* 1/7 (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 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 x (*.f32 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 -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 binary32) x) (+.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 #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 1/2 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 (/.f32 #s(literal -1/5 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (*.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 x (*.f32 x (+.f32 #s(literal 2/3 binary32) (*.f32 (*.f32 x 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 (*.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 2/5 binary32) (pow.f32 x #s(literal 5 binary32))) (+.f32 (log.f32 #s(literal -1 binary32)) (/.f32 #s(literal 2/3 binary32) (*.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))
(* 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 x (+.f32 #s(literal 2 binary32) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x #s(literal 2 binary32))))))
(* 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 x #s(literal 2 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))) (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) (/.f32 #s(literal -2 binary32) x)) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x))
(* 2 x)
(*.f32 x #s(literal 2 binary32))
(* x (+ 2 (* 2 (pow x 3))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 x x)))))
(* x (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))
(*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 x x))))))))
(* x (+ 2 (* (pow x 3) (+ 2 (* (pow x 3) (+ 2 (* 2 (pow x 3))))))))
(*.f32 x (*.f32 (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) (*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 x x))))))
(/ -2 (pow x 2))
(/.f32 #s(literal -2 binary32) (*.f32 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x)))) (*.f32 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 6))) (+ 2 (* 2 (/ 1 (pow x 3))))) (pow x 2))
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x))))) (*.f32 x x))
(/ -2 (pow x 2))
(/.f32 #s(literal -2 binary32) (*.f32 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 2)))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 3)))) (pow x 3))) 2) (pow x 2))
(/.f32 (+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x)))) (*.f32 x x))
(/ (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 6)))) (pow x 3))) 2) (pow x 2))
(/.f32 (-.f32 #s(literal -2 binary32) (/.f32 (+.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x (*.f32 x x)))) (*.f32 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 (* 1/3 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* x (+ 1 (* 1/3 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* 1/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* 1/3 (pow x 3))
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))))
(* (pow x 3) (+ 1/3 (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* (pow x 2) (+ 1/3 (/ 1 (pow x 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 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 x (*.f32 x #s(literal 1/5 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 x (*.f32 x #s(literal 1/5 binary32)))))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 5) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(*.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 1/3 binary32) (*.f32 x x)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* 1/5 (pow x 5))
(*.f32 #s(literal 1/5 binary32) (pow.f32 x #s(literal 5 binary32)))
(* (pow x 5) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (pow.f32 x #s(literal 5 binary32)) (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (*.f32 x x)) #s(literal -1/5 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 5 binary32))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) (pow x 2))) 1/5)))
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1/3 binary32)) (*.f32 x x)) #s(literal -1/5 binary32)) (-.f32 #s(literal 0 binary32) (pow.f32 x #s(literal 5 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x #s(literal 1/3 binary32))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* 1/5 (pow x 4))
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* 1/5 (pow x 4))
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* (pow x 4) (+ 1/5 (+ (* 1/3 (/ 1 (pow x 2))) (/ 1 (pow x 4)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))
(* 1/3 (pow x 2))
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* (pow x 2) (+ 1/3 (* 1/5 (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* 1/5 (pow x 4))
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* 1/5 (pow x 4))
(*.f32 x (*.f32 #s(literal 1/5 binary32) (*.f32 x (*.f32 x x))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32)))))
(* (pow x 4) (+ 1/5 (* 1/3 (/ 1 (pow x 2)))))
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x
(* x (+ 1 (* 1/3 (pow x 2))))
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(* 1/7 (pow x 7))
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1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
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(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2)))))))
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(* 1/7 (pow x 6))
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(* 2 (pow x 2))
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(* (pow x 2) (+ 2 (* 2 x)))
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(* (pow x 2) (+ 2 (* x (+ 2 (* 2 (pow x 2))))))
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(* (pow x 2) (+ 2 (* x (+ 2 (* (pow x 2) (+ 2 (* 2 x)))))))
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-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 (pow x 2)))) x)) 2)
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 3))) (+ 2 (* 2 (/ 1 x))))
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-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 (pow x 2)))) x)) 2)
(+.f32 #s(literal -2 binary32) (/.f32 (+.f32 #s(literal -2 binary32) (/.f32 #s(literal -2 binary32) (*.f32 x x))) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 3)))) x)) 2)
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(pow x 3)
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(pow x 3)
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(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
(*.f32 x (*.f32 x x))
(pow x 3)
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(pow x 3)
(*.f32 x (*.f32 x x))
x
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(*.f32 x (+.f32 x #s(literal 1 binary32)))
(* x (+ 1 x))
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(pow x 2)
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(* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))
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(* 1/7 (pow x 4))
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(* (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)))))
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eval114.0ms (1.5%)

Compiler

Compiled 34253 to 3317 computations (90.3% saved)

prune109.0ms (1.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New102361029
Fresh202
Picked235
Done011
Total1027101037
Accuracy
100.0%
Counts
1037 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 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 (*.f32 (*.f32 x (*.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 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 binary32) (*.f32 (*.f32 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 (*.f32 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)))))))) #s(literal 1 binary32)))))
99.6%
(+.f32 (*.f32 (*.f32 x (*.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)
98.9%
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
99.4%
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
99.4%
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32))))
99.3%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
98.7%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
99.4%
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.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 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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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))))))))))))
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.0%
x
Compiler

Compiled 507 to 204 computations (59.8% saved)

simplify164.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 (*.f32 x (*.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 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-diff0
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.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 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-diff64
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.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 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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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-diff64
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.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 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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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-diff0
(*.f32 x #s(literal 1/3 binary32))
cost-diff0
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
cost-diff128
(+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32)))
cost-diff128
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32))))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
cost-diff0
(*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
cost-diff0
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
cost-diff0
(*.f32 x #s(literal 1/3 binary32))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32)))
cost-diff0
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 x (*.f32 x x))
cost-diff0
(*.f32 (*.f32 x (*.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-diff0
(+.f32 (*.f32 (*.f32 x (*.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)
Rules
2278×*-lowering-*.f32
2278×*-lowering-*.f64
1990×fma-define
1734×fnmadd-define
1726×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035603
1135540
2519520
32124520
46122520
08082520
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* 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
(* 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
(+ (* (* x x) (* x 1/3)) x)
(* (* x x) (* x 1/3))
(* x x)
x
(* 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) (+ 1/3 (* (* x x) 1/5)))
(* x x)
(+ 1/3 (* (* x x) 1/5))
1/3
(* (* x x) 1/5)
1/5
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)))
x
(+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1))
(* x (* x 1/3))
(* x 1/3)
1/3
(+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)
(* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(* x x)
(* 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
1
(* x (* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
x
(* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))
(- 1 (* (* (* 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 x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* x (* x x))
(* 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
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(/ 1 (- 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)))))))
Outputs
(+ (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))))
(* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(*.f32 (*.f32 x x) (*.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)))))))
(* x (* x x))
(*.f32 x (*.f32 x x))
x
(* x x)
(*.f32 x x)
(+ 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)
(+ (* (* x x) (* x 1/3)) x)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(* (* x x) (* x 1/3))
(*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/3 binary32))
(* x x)
(*.f32 x x)
x
(* 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 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))) #s(literal 1 binary32)))
(* x (* (* x x) (+ 1/3 (* (* x x) 1/5))))
(*.f32 (*.f32 x (*.f32 x 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 #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 (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.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)))))))))
x
(+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.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))))))))
(* 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 (* (* x x) 1/7))))) 1)
(+.f32 (*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1 binary32))
(* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7)))))
(*.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))) (*.f32 x (*.f32 x (*.f32 x x))))
(* x x)
(*.f32 x x)
(* 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)
1
#s(literal 1 binary32)
(* x (* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.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))))))) (-.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 #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
(* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.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))))))) (-.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 #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))))))))
(- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.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))))))) (-.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
#s(literal 1 binary32)
(* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(*.f32 (*.f32 x x) (*.f32 (*.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)))))) (*.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))))))))
(* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(*.f32 (*.f32 x x) (*.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)))))))
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)
(+ 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)
(* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))
(/.f32 #s(literal 1 binary32) (+.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))))))))
(- 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 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(*.f32 x (*.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)))))))

localize236.0ms (3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f32 (*.f32 x (*.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)))))))
accuracy99.5%
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
accuracy99.3%
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
accuracy99.0%
(*.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)))))))
accuracy99.7%
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
accuracy99.5%
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
accuracy99.3%
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
accuracy98.9%
(*.f32 x #s(literal 1/3 binary32))
accuracy99.9%
(+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))
accuracy99.7%
(*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))))
accuracy99.5%
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
accuracy99.4%
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
accuracy100.0%
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
accuracy100.0%
(*.f32 x x)
accuracy99.7%
(*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32)))
accuracy98.9%
(*.f32 x #s(literal 1/3 binary32))
accuracy99.7%
(*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))
accuracy99.6%
(*.f32 (*.f32 x (*.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)))))))
accuracy99.5%
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
accuracy99.3%
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
Results
146.0ms256×0valid
Compiler

Compiled 649 to 36 computations (94.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 61.0ms (64.6% of total)
ival-add: 18.0ms (19.1% of total)
...c/correct-round.rkt:119:19: 10.0ms (10.6% of total)
ival-sub: 2.0ms (2.1% of total)
ival-div: 2.0ms (2.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<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 (* x x))>
#<alt (* x x)>
#<alt (+ (* (* x x) (* x 1/3)) x)>
#<alt (* (* x 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) (+ 1/3 (* (* x x) 1/5)))>
#<alt (* x (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)))>
#<alt (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1))>
#<alt (* x (* x 1/3))>
#<alt (* x (* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))>
#<alt (* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))>
#<alt (- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))>
#<alt (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))>
#<alt (* (* x x) 1/7)>
#<alt (* x (+ 1/5 (* (* x x) 1/7)))>
#<alt (* x (* x (+ 1/5 (* (* x x) 1/7))))>
#<alt (* (* x x) 1/5)>
#<alt (+ 1/3 (* (* x x) 1/5))>
#<alt (* x (+ 1/3 (* 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 (* 1/7 (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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 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 (* 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 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 (* 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 (* 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 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>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))>
#<alt (* -1/49 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* -1/49 (pow x 12))>
#<alt (* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))>
#<alt (* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<alt (* 1/49 (pow x 12))>
#<alt (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))>
#<alt (* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))>
#<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)))))>
#<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 (* 1/3 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)))>
Calls

69 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x (* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
0.0ms
x
@0
(* x (* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
0.0ms
x
@-inf
(* (* x x) (* x 1/3))
0.0ms
x
@inf
(+ (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) x)
0.0ms
x
@-inf
(* x 1/3)

rewrite436.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
4002×*-lowering-*.f32
4002×*-lowering-*.f64
3182×/-lowering-/.f32
3182×/-lowering-/.f64
1318×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035300
1257242
22462241
08401241
Stop Event
iter limit
node limit
Counts
23 → 646
Calls
Call 1
Inputs
(+ (* (* 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 x)
(+ (* (* x x) (* x 1/3)) x)
(* (* x 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) (+ 1/3 (* (* x x) 1/5)))
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1)))
(+ (* x (* x 1/3)) (+ (* (* x x) (* x (* x (+ 1/5 (* (* x x) 1/7))))) 1))
(* x (* x 1/3))
(* x (* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
(* (- 1 (* (* (* 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 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))
(- 1 (* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))
(* (* (* x (* x x)) (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))) (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))
(* (* x x) 1/7)
(* x (+ 1/5 (* (* x x) 1/7)))
(* x (* x (+ 1/5 (* (* x x) 1/7))))
(* (* x x) 1/5)
(+ 1/3 (* (* x x) 1/5))
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
Outputs
(+.f32 x (*.f32 x (*.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))))))))
(+.f32 (*.f32 x (*.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)
(+.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32)))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) x))
(+.f32 (+.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal 1/3 binary32))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(pow.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x (-.f32 x (*.f32 x (*.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)))))))))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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))))))) (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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))))))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (*.f32 x (*.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) (-.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x x))) #s(literal -1 binary32))
(fma.f32 x (*.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)
(fma.f32 (*.f32 x (*.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)
(fma.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)
(-.f32 (/.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (-.f32 (*.f32 x (*.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)) (/.f32 (*.f32 x x) (-.f32 (*.f32 x (*.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)))
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (*.f32 x (*.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))))))))) (/.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (-.f32 x (*.f32 x (*.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))))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x (-.f32 x (*.f32 x (*.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)))))))))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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))))))) (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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))))))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 x (*.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) (-.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x (-.f32 x (*.f32 x (*.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)))))))))) (+.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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))))))) (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 x (*.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) (-.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x x)))))
(/.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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))))))) (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))))) (+.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x (-.f32 x (*.f32 x (*.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)))))))))))
(/.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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))))))) (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))))) (+.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x (*.f32 x (*.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)))))))))))
(/.f32 (-.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x x)) (-.f32 (*.f32 x (*.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))
(/.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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))))))) (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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))))))))))) (neg.f32 (+.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x (-.f32 x (*.f32 x (*.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))))))))))))
(/.f32 (neg.f32 (+.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.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))))))) (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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))))))))))) (neg.f32 (+.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x (*.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))))))) (*.f32 x (*.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)))))))) (*.f32 x (*.f32 x (*.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))))))))))))
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(/.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.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)))))))) x) (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) #s(literal 1/3 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (+.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))))))) 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))))))
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/27 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.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)))))))))) (neg.f32 (+.f32 (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 x #s(literal 1/3 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 x #s(literal 1/3 binary32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))) (neg.f32 (-.f32 (*.f32 x #s(literal 1/3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(/.f32 (neg.f32 (*.f32 x (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.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)))))))))) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (*.f32 x (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (+.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))))))))) (neg.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 (neg.f32 (*.f32 (+.f32 #s(literal 1/27 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) (*.f32 (+.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)))))))) x)) (neg.f32 (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (-.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) (*.f32 (+.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))))))) x)) (neg.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 #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 (+.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)

simplify306.0ms (3.9%)

Algorithm
egg-herbie
Rules
4780×*-lowering-*.f32
4780×*-lowering-*.f64
2934×+-lowering-+.f64
2934×+-lowering-+.f32
1922×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01622493
15462349
216722297
349732285
091922285
Stop Event
iter limit
node limit
Counts
276 → 276
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))))))))
(* 1/7 (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)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 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 (* 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 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)))))
(* 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))
(* 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))
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
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* (pow x 2) (- (* -71/525 (pow x 2)) 2/15)) 1/9)))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* -1/49 (pow x 12))
(* -1 (* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (- (* -1 (/ (+ 2/35 (* 71/525 (/ 1 (pow x 2)))) (pow x 2))) 1/49))
(* (pow x 12) (- (* -1 (/ (+ 71/525 (* 2/15 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/49 (* 2/35 (/ 1 (pow x 2))))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* 71/525 (pow x 2))))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (+ 2/15 (* (pow x 2) (+ 71/525 (* 2/35 (pow x 2))))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 1/49 (pow x 12))
(* (pow x 12) (+ 1/49 (* 2/35 (/ 1 (pow x 2)))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (* 2/35 (/ 1 (pow x 2))))))
(* (pow x 12) (+ 1/49 (+ (/ 71/525 (pow x 4)) (+ (* 2/35 (/ 1 (pow x 2))) (* 2/15 (/ 1 (pow x 6)))))))
(* 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)))))
(* 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)))))
(* 1/3 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)))
Outputs
x
(* x (+ 1 (* 1/3 (pow x 2))))
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(*.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)))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.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))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.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))))))
(* 1/7 (pow x 5))
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(* 1/7 (pow x 5))
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/5 binary32) (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x))))

eval245.0ms (3.1%)

Compiler

Compiled 88775 to 3238 computations (96.4% saved)

prune207.0ms (2.7%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New149431497
Fresh101
Picked235
Done044
Total1497101507
Accuracy
100.0%
Counts
1507 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f32 (*.f32 (*.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)
98.9%
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
99.4%
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
99.3%
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32))))
99.4%
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32))))
99.3%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
98.7%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
99.5%
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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))))))))))))
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.0%
x
Compiler

Compiled 175 to 109 computations (37.7% saved)

simplify176.0ms (2.3%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 x x)
cost-diff0
(*.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))))))
cost-diff0
(*.f32 (*.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)
cost-diff0
(+.f32 (*.f32 (*.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)
cost-diff0
(*.f32 x #s(literal 1/3 binary32))
cost-diff0
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
cost-diff128
(+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32)))
cost-diff128
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32))))
cost-diff0
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))
cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32))))))
cost-diff64
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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-diff64
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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))))))))))))
Rules
2550×*-lowering-*.f32
2550×*-lowering-*.f64
2168×fma-lowering-fma.f32
2168×fma-lowering-fma.f64
1688×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038416
1146358
2519349
31639346
44252346
08361346
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
x
(* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))
(- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15)))))
1
(* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(+ 1/9 (* x (* x 2/15)))
1/9
(* x (* x 2/15))
(* x 2/15)
2/15
(/ 1 (- 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)))))))
(* 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
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1)))
x
(+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1))
(* x (* x 1/3))
(* x 1/3)
1/3
(+ (* (* x x) (* (* x x) 1/5)) 1)
(* (* x x) (* (* x x) 1/5))
(* x x)
(* (* x x) 1/5)
1/5
1
(+ (* (* (* 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) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* x x)
x
(+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))
1/3
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
(+ 1/5 (* (* x x) 1/7))
1/5
(* (* x x) 1/7)
1/7
Outputs
(* x (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal -2/15 binary32)) #s(literal -1/9 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal -1/7 binary32)) #s(literal -1/5 binary32))))))))
x
(* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal -2/15 binary32)) #s(literal -1/9 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal -1/7 binary32)) #s(literal -1/5 binary32))))))))
(- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal -2/15 binary32)) #s(literal -1/9 binary32)))))
1
#s(literal 1 binary32)
(* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))
(*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))
(* x (* x (* x x)))
(*.f32 x (*.f32 x (*.f32 x x)))
(* x (* x x))
(*.f32 x (*.f32 x x))
(* x x)
(*.f32 x x)
(+ 1/9 (* x (* x 2/15)))
(+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))
1/9
#s(literal 1/9 binary32)
(* x (* x 2/15))
(*.f32 (*.f32 x x) #s(literal 2/15 binary32))
(* x 2/15)
(*.f32 x #s(literal 2/15 binary32))
2/15
#s(literal 2/15 binary32)
(/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 #s(literal -1/3 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) #s(literal -1/7 binary32)) #s(literal -1/5 binary32))))))))
(- 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 (*.f32 (*.f32 x x) #s(literal -1/7 binary32)) #s(literal -1/5 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 (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(*.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)))))))
(+ 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)
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 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))))))
x
(+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1))
(+.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 (* 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)) 1)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(* (* x x) (* (* x x) 1/5))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))
(* x x)
(*.f32 x x)
(* (* x x) 1/5)
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
1/5
#s(literal 1/5 binary32)
1
#s(literal 1 binary32)
(+ (* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) 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)))))))))
(* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x)
(*.f32 (*.f32 x (*.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) (+ 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)
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)))))
(+ 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)

localize201.0ms (2.6%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f32 (*.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)
accuracy99.5%
(*.f32 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
accuracy99.4%
(*.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))))))
accuracy99.3%
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
accuracy99.8%
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32)))
accuracy99.7%
(*.f32 x (*.f32 x #s(literal 1/3 binary32)))
accuracy99.5%
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
accuracy98.9%
(*.f32 x #s(literal 1/3 binary32))
accuracy99.5%
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
accuracy99.3%
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
accuracy99.0%
(*.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)))))))
accuracy98.0%
(*.f32 x #s(literal 2/15 binary32))
Results
125.0ms256×0valid
Compiler

Compiled 444 to 39 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 46.0ms (54.3% of total)
ival-add: 17.0ms (20.1% of total)
...c/correct-round.rkt:119:19: 16.0ms (18.9% of total)
ival-sub: 3.0ms (3.5% of total)
ival-div: 2.0ms (2.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (* x (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))>
#<alt (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))>
#<alt (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15)))))>
#<alt (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))>
#<alt (* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1)))>
#<alt (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1))>
#<alt (* x (* x 1/3))>
#<alt (* x 1/3)>
#<alt (+ (* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x) x)>
#<alt (* (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7))))) x)>
#<alt (* (* x x) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))>
#<alt (* x x)>
#<alt (* x 2/15)>
#<alt (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))>
#<alt (* (* x x) 1/7)>
#<alt (* x (+ 1/5 (* (* x x) 1/7)))>
#<alt (* (* x x) 1/5)>
#<alt (* (* x x) (* (* x x) 1/5))>
#<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 (* 14/15 x)>
#<alt (* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))>
#<alt (* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))>
#<alt (* 14/15 x)>
#<alt (* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))>
#<alt (* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))>
#<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 14/15>
#<alt (- 14/15 (* 119/225 (/ 1 (pow x 2))))>
#<alt (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))>
#<alt 14/15>
#<alt (- 14/15 (* 119/225 (/ 1 (pow x 2))))>
#<alt (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))>
#<alt (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))>
#<alt 1>
#<alt (+ 1 (* -1/9 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))>
#<alt (* -2/15 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* -2/15 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))>
#<alt (* 2/15 (pow x 6))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 6))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (+ 2/15 (* 1/9 (/ 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 (* 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 (* 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 (* (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 (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 (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 (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<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 (* 1/7 (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 (* 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 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 (* 1/5 (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

57 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
0.0ms
x
@inf
(- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15)))))
0.0ms
x
@inf
(* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))
0.0ms
x
@-inf
(* x 2/15)
0.0ms
x
@-inf
(* x (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))

rewrite561.0ms (7.2%)

Algorithm
batch-egg-rewrite
Rules
3910×*-lowering-*.f32
3910×*-lowering-*.f64
2674×/-lowering-/.f32
2674×/-lowering-/.f64
2496×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038252
1267215
22304209
09155209
Stop Event
iter limit
node limit
Counts
19 → 529
Calls
Call 1
Inputs
(* x (* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7)))))))))))
(* (- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))) (/ 1 (- 1 (* x (* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))))))
(- 1 (* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15)))))
(* (* x (* x (* x x))) (+ 1/9 (* x (* x 2/15))))
(* x (+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1)))
(+ (* x (* x 1/3)) (+ (* (* x x) (* (* x x) 1/5)) 1))
(* x (* x 1/3))
(* x 1/3)
(+ (* (* (* 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) (+ 1/3 (* (* x x) (+ 1/5 (* (* x x) 1/7)))))
(* x x)
(* x 2/15)
(* x (+ 1/3 (* x (* x (+ 1/5 (* (* x x) 1/7))))))
(* (* x x) 1/7)
(* x (+ 1/5 (* (* x x) 1/7)))
(* (* x x) 1/5)
(* (* x x) (* (* x x) 1/5))
(* (* x x) (+ 1/5 (* (* x x) 1/7)))
Outputs
(/.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) (-.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 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal 1 binary32)) (-.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 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal -1 binary32)) (neg.f32 (-.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 (neg.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (neg.f32 (-.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 (neg.f32 (*.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal 1 binary32))) (neg.f32 (-.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 (neg.f32 (*.f32 (*.f32 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (-.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 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.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 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (*.f32 (/.f32 #s(literal 1 binary32) (-.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))
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 x (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.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)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.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 x #s(literal 1 binary32)))
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(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))
(/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.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 #s(literal -1/7 binary32) (*.f32 x x))))
(/.f32 (*.f32 (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32))) (*.f32 x x)) (+.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 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/49 binary32))) (*.f32 x x)) (+.f32 #s(literal 1/5 binary32) (*.f32 #s(literal -1/7 binary32) (*.f32 x x))))
(/.f32 (neg.f32 (+.f32 (*.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (neg.f32 (+.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))) (neg.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))))
(/.f32 (neg.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32))))) (neg.f32 (+.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 (neg.f32 (*.f32 (*.f32 x x) (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/49 binary32))))) (neg.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 #s(literal -1/7 binary32) (*.f32 x x)))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32))) (*.f32 x x))) (neg.f32 (+.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 (neg.f32 (*.f32 (-.f32 #s(literal 1/25 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/49 binary32))) (*.f32 x x))) (neg.f32 (+.f32 #s(literal 1/5 binary32) (*.f32 #s(literal -1/7 binary32) (*.f32 x x)))))
(/.f32 (+.f32 (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal 1/343 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal 1/125 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))) (+.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (-.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/5 binary32)) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))) (*.f32 (*.f32 x x) #s(literal 1/5 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)

simplify230.0ms (3%)

Algorithm
egg-herbie
Rules
4104×*-lowering-*.f32
4104×*-lowering-*.f64
2520×+-lowering-+.f64
2520×+-lowering-+.f32
1282×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01461934
14891834
214861794
345431773
084431773
Stop Event
iter limit
node limit
Counts
228 → 228
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))))))))
(* 14/15 x)
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(* 14/15 x)
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
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)))))))
14/15
(- 14/15 (* 119/225 (/ 1 (pow x 2))))
(+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))
14/15
(- 14/15 (* 119/225 (/ 1 (pow x 2))))
(+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2))))
(- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))))
1
(+ 1 (* -1/9 (pow x 4)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(+ 1 (* (pow x 4) (- (* -2/15 (pow x 2)) 1/9)))
(* -2/15 (pow x 6))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* -2/15 (pow x 6))
(* -1 (* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 2/15 (* 1/9 (/ 1 (pow x 2))))))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* (pow x 4) (+ 1/9 (* 2/15 (pow x 2))))
(* 2/15 (pow x 6))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* 2/15 (pow x 6))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 2/15 (* 1/9 (/ 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 (* 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))
(* 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 (* (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 (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))))))
(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)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 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)))
(* 1/7 (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))
(* 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 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))
(* 1/5 (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 (*.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 (*.f32 x x) (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))))))
(* 14/15 x)
(*.f32 x #s(literal 14/15 binary32))
(* x (- 14/15 (* 119/225 (/ 1 (pow x 2)))))
(+.f32 (*.f32 x #s(literal 14/15 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x)))
(* x (+ 14/15 (* -1 (/ (+ 119/225 (* 539/375 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f32 (*.f32 x #s(literal 14/15 binary32)) (/.f32 (+.f32 #s(literal -119/225 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x x))) x))
(* x (- (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))) (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4)))))
(+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 46907/16875 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x)))
(* 14/15 x)
(*.f32 x #s(literal 14/15 binary32))
(* -1 (* x (- (* 119/225 (/ 1 (pow x 2))) 14/15)))
(+.f32 (*.f32 x #s(literal 14/15 binary32)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) 14/15)))
(+.f32 (*.f32 x (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x)))
(* -1 (* x (- (+ (* 119/225 (/ 1 (pow x 2))) (/ 539/375 (pow x 4))) (+ 14/15 (* 46907/16875 (/ 1 (pow x 6)))))))
(+.f32 (*.f32 x (+.f32 (/.f32 #s(literal 46907/16875 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 14/15 binary32) (/.f32 #s(literal -539/375 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal -119/225 binary32) x)))
1
#s(literal 1 binary32)
(+ 1 (* 1/3 (pow x 2)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))
(+ 1 (* (pow x 2) (+ 1/3 (* 1/5 (pow x 2)))))
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(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 6) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 2/15 x)
(*.f32 x #s(literal 2/15 binary32))
(* 1/3 x)
(*.f32 x #s(literal 1/3 binary32))
(* x (+ 1/3 (* 1/5 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.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))))))
(* x (+ 1/3 (* (pow x 2) (+ 1/5 (* 1/7 (pow x 2))))))
(*.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))))))
(* 1/7 (pow x 5))
(*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (*.f32 x x))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* (pow x 5) (+ 1/7 (+ (/ 1/3 (pow x 4)) (* 1/5 (/ 1 (pow x 2))))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 (/.f32 #s(literal 1/5 binary32) (*.f32 x x)) (+.f32 #s(literal 1/7 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))
(* 1/7 (pow x 5))
(*.f32 x (*.f32 #s(literal 1/7 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))
(* (pow x 5) (+ 1/7 (* 1/5 (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 #s(literal 1/7 binary32) (/.f32 #s(literal -1/5 binary32) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x))))
(* -1 (* (pow x 5) (- (* -1 (/ (+ 1/5 (* 1/3 (/ 1 (pow x 2)))) (pow x 2))) 1/7)))
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 #s(literal 1/7 binary32) (/.f32 (+.f32 #s(literal 1/5 binary32) (/.f32 #s(literal 1/3 binary32) (*.f32 x x))) (*.f32 x x))))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/7 binary32))
(* 1/7 (pow x 2))
(*.f32 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))
(* x (+ 1/5 (* 1/7 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 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))
(* 1/5 (pow x 2))
(*.f32 (*.f32 x x) #s(literal 1/5 binary32))
(* 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))))
(* 1/5 (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 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 4))
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.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 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32))))
(* 1/7 (pow x 4))
(*.f32 #s(literal 1/7 binary32) (*.f32 x (*.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 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) #s(literal 1/7 binary32))))

eval151.0ms (1.9%)

Compiler

Compiled 40326 to 2699 computations (93.3% saved)

prune102.0ms (1.3%)

Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New8783881
Fresh000
Picked123
Done077
Total87912891
Accuracy
100.0%
Counts
891 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(+.f32 (*.f32 (*.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)
98.9%
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
99.4%
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
99.5%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.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)
99.5%
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (*.f32 (-.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 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))))))
99.3%
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32))))
99.4%
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32))))
99.3%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
98.7%
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
99.5%
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 x #s(literal 1/3 binary32))))))))
99.8%
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
97.0%
x
Compiler

Compiled 949 to 291 computations (69.3% saved)

regimes69.0ms (0.9%)

Counts
20 → 1
Calls
Call 1
Inputs
x
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 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 (*.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)
(+.f32 (*.f32 (*.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)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.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)
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 x #s(literal 1/3 binary32))))))))
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.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 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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 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 (*.f32 (*.f32 x (*.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 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 binary32) (*.f32 (*.f32 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 (*.f32 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)))))))) #s(literal 1 binary32)))))
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (*.f32 (-.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 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.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 #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 (/.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)))))
Calls

4 calls:

46.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
8.0ms
x
6.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
6.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
99.9%1(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
99.9%1(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
Compiler

Compiled 30 to 23 computations (23.3% saved)

regimes26.0ms (0.3%)

Counts
18 → 1
Calls
Call 1
Inputs
x
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 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 (*.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)
(+.f32 (*.f32 (*.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)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.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)
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 x #s(literal 1/3 binary32))))))))
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.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 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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 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 (*.f32 (*.f32 x (*.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 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 binary32) (*.f32 (*.f32 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 (*.f32 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)))))))) #s(literal 1 binary32)))))
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (*.f32 (-.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 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(*.f32 (log1p.f32 (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) x) x))) #s(literal 1/2 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:

7.0ms
(log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x)))
5.0ms
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
5.0ms
(/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))
5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
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)

regimes8.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
x
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x))))
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 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 (*.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)
(+.f32 (*.f32 (*.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)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32)))))) #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))) (-.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)
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (+.f32 #s(literal 1/9 binary32) (*.f32 x (*.f32 x #s(literal 2/15 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x (+.f32 (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/5 binary32) (*.f32 (*.f32 x x) #s(literal 1/7 binary32))))) (*.f32 x #s(literal 1/3 binary32))))))))
(*.f32 x (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.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 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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 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 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 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 (*.f32 (*.f32 x (*.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 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 binary32) (*.f32 (*.f32 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 (*.f32 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)))))))) #s(literal 1 binary32)))))
(*.f32 x (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))) (*.f32 (-.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 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1/9 binary32) (*.f32 (*.f32 x x) #s(literal 2/15 binary32))))))))))))
Outputs
(+.f32 (*.f32 (*.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)
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
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 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 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
x
Results
AccuracySegmentsBranch
99.4%1x
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 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(*.f32 x (+.f32 (*.f32 x (*.f32 x #s(literal 1/3 binary32))) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))) #s(literal 1 binary32))))
Outputs
(+.f32 (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
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 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
Outputs
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes24.0ms (0.3%)

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

1 calls:

24.0ms
x
Results
AccuracySegmentsBranch
98.9%1x
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
x
Results
AccuracySegmentsBranch
98.7%1x
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
x
Results
AccuracySegmentsBranch
97.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
62×*-commutative_binary32
38×+-commutative_binary32
10×sub-neg_binary32
distribute-lft-neg-in_binary32
neg-sub0_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056154
1108154
2120154
3128154
4132154
5133154
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (+.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 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (*.f32 (*.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)
(+.f32 (*.f32 (*.f32 x (*.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)
(*.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 x (*.f32 (*.f32 x 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 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (*.f32 (*.f32 x 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 (/.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 #s(literal 1/2 binary32) (log1p.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (+.f32 x #s(literal 1 binary32)))))))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) (-.f32 #s(literal 1 binary32) x))))
(+.f32 (*.f32 (*.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)
(+.f32 x (*.f32 x (*.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))))))))
(+.f32 (*.f32 (*.f32 x (*.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)
(+.f32 x (*.f32 (*.f32 x (*.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 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 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))) x)
(+.f32 x (*.f32 x (*.f32 (*.f32 x x) (+.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 x x) #s(literal 1/5 binary32))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 #s(literal 1/3 binary32) (*.f32 x (*.f32 x #s(literal 1/5 binary32))))))))
(+.f32 (*.f32 (*.f32 x x) (*.f32 x #s(literal 1/3 binary32))) x)
(+.f32 x (*.f32 (*.f32 x 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

soundness1.5s (18.9%)

Rules
4778×*-lowering-*.f32
4778×*-lowering-*.f64
4002×*-lowering-*.f32
4002×*-lowering-*.f64
3232×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035300
1257242
22462241
08401241
01028
15028
241728
3605428
0824128
0106394
1331359
2991349
32893344
45281344
08394344
038249
1249225
22506220
08883220
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 326 to 164 computations (49.7% saved)

preprocess57.0ms (0.7%)

Compiler

Compiled 332 to 128 computations (61.4% saved)

end0.0ms (0%)

Profiling

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